{"question":"Death begins for a leaf the second it","options":["is released","is eaten","is born","is burned"],"answer":"A","correct_option":"is released","explanation":"","dataset":"science"}
{"question":"The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher","options":["49","88","25","18"],"answer":"A","correct_option":"49","explanation":"Total age of students is 32X16 = 512 Years\nTotal age inclusive of teacher = 33X (16+1) = 561\nSo, Teacher's age is 561-512 = 49 Yrs\nAnswer: A","dataset":"aqua_rat"}
{"question":"3\/5 of all married couples have more than one child. 1\/4 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?","options":["1\/5","B.1\/4","7\/20","3\/5"],"answer":"C","correct_option":"7\/20","explanation":"Plug in simple numbers. Take 100 couples for example.\n3\/5 of 100 couples have more than one child = 60 couples.\n1\/4 of 100 couples have more than 3 kids = 25 couples.\nThis implies that 25 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples, which equals 40 couples have either one or no kids at all.\nWe need to find couples that have 2 or 3 kids, so essentially, it is 60 - 25 = 35. Fraction will be 35\/100 = 7\/20.\nOption C","dataset":"aqua_rat"}
{"question":"Three workers have a productivity ratio of 1 to 3 to 5. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?","options":["25 to 3","6 to 1","5 to 1","1 to 6"],"answer":"A","correct_option":"25 to 3","explanation":"The fastest worker who does 5 units of job worked for all 10 hours, so he did 5*10=50 units of job;\nThe slowest worker who does 1 unit of job worked for only 4+2=6 hours (first 4 hours and last 2 hours), so he did 1*6=6 units of job;\nThe ratio thus is 50 to 6, or 25 to 3.\nAnswer: A","dataset":"aqua_rat"}
{"question":"What increases biodiversity?","options":["Reproduction","cross-pollination","By coral exoskeletons","gene flow"],"answer":"B","correct_option":"cross-pollination","explanation":"cross-pollination increases biodiversity","dataset":"qasc"}
{"question":"One-third of Rahul\u2019s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 2,00,000 as total savings, how much has he saved in Public Provident Fund ?","options":["Rs. 30,000","Rs. 50,000","Rs. 80,000","Rs. 90,000"],"answer":"C","correct_option":"Rs. 80,000","explanation":"EXPLANATION\nLet savings in N.S.C and P.P.F. be Rs. x and Rs. (200000 \u2013 x) respectively. Then,\n1\/3x=1\/2(200000-x)\n=> x\/3 + x\/2 = 100000\n=> 5x\/6 = 100000\n=> x= 100000 x 6 \/5= 120000\nSavings in Public Provident Fund = Rs. (200000 \u2013 120000) = Rs. 80000\nAnswer C","dataset":"aqua_rat"}
{"question":"Praveen starts business with Rs.3360 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari\u2019s contribution in the capital?","options":["s.7500","s.8640","s.8500","s.9000"],"answer":"B","correct_option":"s.8640","explanation":"Let Hari\u2019s capital be Rs. x. Then, 3360 * 12\/7x = 2\/3\n=> 14x = 120960\n=> x = 8640.\nANSWER:B","dataset":"aqua_rat"}
{"question":"The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is:","options":["12","16","36","48"],"answer":"C","correct_option":"36","explanation":"Let the numbers be 3x and 4x.\nThen their H.C.F = x. So, x = 3.\nSo, the numbers are 9 and 12.\nL.C.M of 9 and 12 = 36.\nANSWER:C","dataset":"aqua_rat"}
{"question":"When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.70 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?","options":["$255","$357","$510","$1,250"],"answer":"B","correct_option":"$357","explanation":"Total no. Of boxes = 3060000\/(20\u00d720\u00d715) = 510\nTotal cost = 510\u00d7$0.7=$357\nAnswer B","dataset":"aqua_rat"}
{"question":"A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:","options":["filled in 12 min","emptied in 12 min","filled in 8 min","will be empty in 8 min"],"answer":"D","correct_option":"will be empty in 8 min","explanation":"work done by both taps= 1\/15+(-1\/8)= -7\/120 so tank will be emptied becoz of minus sign.\nso time taken= 120\/7\ngiven the tank is already half filled\nso another half will be emptied in 120\/7*1\/2\nnearly 8 minutes\nANSWER:D","dataset":"aqua_rat"}
{"question":"Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 60 minutes. How long will it take to fill the cistern if all the three are opened at the same time?","options":["17 1\/4 min","28 1\/7 min","15 min","17 1\/8 min"],"answer":"C","correct_option":"15 min","explanation":"1\/20 + 1\/30 - 1\/60 = 4\/60 = 1\/15\n15\/1 = 15\nAnswer:C","dataset":"aqua_rat"}
{"question":"A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:","options":["no profit, no loss","20% profit","less than 20% profit","more than 20% profit"],"answer":"D","correct_option":"more than 20% profit","explanation":"Let the article be worth Rs. x.\nC.P. 90% of Rs. x = Rs. 9x\/10\nS.P. = 110% of Rs. x = Rs. 11x\/10\nGain = (11x\/10 - 9x\/10) = Rs. x\/5\nGain % = x\/5 * 10\/9x * 100 = 22 2\/9 % > 20%\nANSWER:D","dataset":"aqua_rat"}
{"question":"The true discount on a bill due 9 months hence at 16% per annum is Rs. 180. The amount of the bill is","options":["1200","1764","1680","1354"],"answer":"C","correct_option":"1680","explanation":"Explanation:\nLet P.W. be Rs.x.\nThen, S.I. on Rs. x at 16% for 9 months = Rs. 180.\nx \u00c3\u2014 16 \u00c3\u2014 (9\/12) \u00c3\u2014 (1\/100) = 180 or x = 1500.\nP.W. = Rs. 1500.\nSum due = P.W. + T.D. = Rs.(1500\n180) = Rs. 1680.\nAnswer: C","dataset":"aqua_rat"}
{"question":"What giant planet is far away from and much less dense than earth?","options":["venus","mars","uranus","jupiter"],"answer":"D","correct_option":"jupiter","explanation":"Jupiter is truly a giant! The planet has 318 times the mass of Earth, and over 1,300 times Earth\u2019s volume. So Jupiter is much less dense than Earth. Because Jupiter is so large, it reflects a lot of sunlight. When it is visible, it is the brightest object in the night sky besides the Moon and Venus. Jupiter is quite far from the Earth. The planet is more than five times as far from Earth as the Sun. It takes Jupiter about 12 Earth years to orbit once around the Sun.","dataset":"science"}
{"question":"Two trains leaving from two station 50 miles away from each other with constant speed of 60 miles per hour, approaches towards each other on different tracks. if length of each train is 1\/6 mile. when they meet How much time they need to pass each other totally ?","options":["277","87","27","10"],"answer":"D","correct_option":"10","explanation":"Explanation:\nThe trains are coming towards each other so their relative speed is 60 + 60 = 120 mph\nIn this case the distance would be addition of lengths of trains.i.e 1\/6 + 1\/6 = 1\/3 m\nT = dsds = 1\/3 1\/120 3\/120 = 1\/1360 h\nAnswer: D","dataset":"aqua_rat"}
{"question":"If x is equal to the sum of the integers from 50 to 70, inclusive, and y is the number of even integers from 50 to 70, inclusive, what is the value of x + y?","options":["1211","1231","1251","1271"],"answer":"D","correct_option":"1271","explanation":"x = 50 + 51 +...+ 70 = 21(60) = 1260\ny = 11\nx+y = 1271\nThe answer is D.","dataset":"aqua_rat"}
{"question":"A tourist purchased a total of $1,600 worth of traveler\u2019s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?","options":["$1,430","$1,370","$1,290","$1,270"],"answer":"B","correct_option":"$1,370","explanation":"since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks\nTherefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3\nusing this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost\nTherfore 1600 - 230 = 1370 hence answer is B","dataset":"aqua_rat"}
{"question":"T divided by S equals 405.24 what is a possible remainder?","options":["54","2","9","40"],"answer":"A","correct_option":"54","explanation":"With the decimal being 24\/100, the simplest form is 6\/25. If the divisor is a multiple of 25, the remainder must be a multiple of 6. The only number that is so is 54. Answer A.","dataset":"aqua_rat"}
{"question":"30 men can do a work in 40 days. When should 15 men leave the work so that the entire work is completed in 40 days after they leave the work?","options":["87 days","10 days","15 days","44 days"],"answer":"C","correct_option":"15 days","explanation":"Total work to be done = 30 * 40 = 1200\nLet 15 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.\n40P + (15 * 40) = 1200\n40P = 600 => P = 15 days\nAnswer:C","dataset":"aqua_rat"}
{"question":"Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?","options":["76","55","14","33"],"answer":"C","correct_option":"14","explanation":"Part filled in 2 hours = 2\/6 = 1\/3.\nRemaining part = 1 - 1\/3 = 2\/3\n(A + B)'s 1 hour work = 2\/21\nC's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]\n= (1\/6 - 2\/21) = 1\/14\nC alone can fill the tank in 14 hours.Answer:C","dataset":"aqua_rat"}
{"question":"From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly one person in the crew has previous experience in space flight. How many different crews of this type are possible?","options":["432","94","864","1330"],"answer":"A","correct_option":"432","explanation":"COMB(ENN) where E=experienced and N=no previous experience\n12*9*8\/(2!). We divide by 2! because there are 2! ways to choose the astronauts without previous experience.\n=12*9*4 = 48*9\nBecause 48*9 ends with a 2, look for the answer that ends with a 2. Only A suffices.","dataset":"aqua_rat"}
{"question":"A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?","options":["12","10","15","8"],"answer":"C","correct_option":"15","explanation":"Option C\nExplanation:\nOne days's work of A, B and C = 1\/90 + 1\/30 + 1\/45\n= (1 + 3 + 2)\/90 = 1\/15\nA, B and C together can do the work in 15 days.","dataset":"aqua_rat"}
{"question":"A library has an average of 1000 visitors on Sundays and 700 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :","options":["740","750","760","770"],"answer":"B","correct_option":"750","explanation":"Explanation:\nSince the month begins with a Sunday, so there will be five Sundays in the month,\nRequired average = (1000 * 5 + 700 * 25) \/ 30 = 22500\/30 = 750\nAnswer: B) 750","dataset":"aqua_rat"}
{"question":"What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?","options":["3","27","30","21"],"answer":"C","correct_option":"30","explanation":"Explanatory Answer\nUseful result pertaining to remainders\nYou can solve this problem if you know this rule about remainders.\nLet a number x divide the product of A and B.\nThe remainder will be the product of the remainders when x divides A and when x divides B.\nUsing this rule,\nThe remainder when 33 divides 1044 is 21.\nThe remainder when 33 divides 1047 is 24.\nThe remainder when 33 divides 1050 is 27.\nThe remainder when 33 divides 1053 is 30.\n\u2234 the remainder when 33 divides 1044 * 1047 * 1050 * 1053 is 21 * 24 * 27 * 30.\nNote: The remainder when a number is divided by a divisor 'd' will take values from 0 to (d - 1). It cannot be equal to or more than 'd'.\nThe value of 21 * 24 * 27 * 30 is more than 33.\nWhen the value of the remainder is more than the divisor, final remainder will be the remainder of dividing the product by the divisor.\ni.e., the final remainder is the remainder when 33 divides 21 * 24 * 27 * 30.\nWhen 33 divides 21 * 24 * 27 * 30, the remainder is 30.\nChoice C","dataset":"aqua_rat"}
{"question":"Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?","options":["Rs.2589","Rs.2380","Rs.8868","Rs.2477"],"answer":"B","correct_option":"Rs.2380","explanation":"Kamal : Sameer = (9000 * 12) : (8000 * 7)\n= 108:56 = 27:14\nSameer's share = 6970 * 14\/41 = Rs. 2380.\nAnswer:B","dataset":"aqua_rat"}
{"question":"a decline in the number of predators often leads to","options":["a rise in the number of prey","an increase in breeding between predators","a decline in the number of prey","a decrease in breeding between prey"],"answer":"A","correct_option":"a rise in the number of prey","explanation":"","dataset":"science"}
{"question":"There is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. There is one each bird sitting on top of both the towers. They fly at a constant speed and time to reach a grain in b\/w the towers at the same time. At what distance from the church is the grain?","options":["170 meters","160 meters","150 meters","140 meters"],"answer":"C","correct_option":"150 meters","explanation":"If x ft is the distance of grain from 200 ft tall tower, then\n150^2 +(350-x)^2= 200^2 + x^2\nthen\nx= 150 meters\nANSWER:C","dataset":"aqua_rat"}
{"question":"Find the value of 4 x [(3.6 x 0.48 x 2.50) \/ (0.12 x 0.09 x 0.5)]","options":["800","3200","900","1600"],"answer":"B","correct_option":"3200","explanation":"Answer\n4 x [(3.6 x 0.48 x 2.50) \/ (0.12 x 0.09 x 0.5)]\n= 4 x [(36 x 48 x 250) \/ (12 x 9 x 5)]\n= 4 x 4 x 4 x 50 = 3200\nCorrect Option: B","dataset":"aqua_rat"}
{"question":"In a room are five chairs to accommodate 3 people. One person to a chair. How many seating arrangements are possible?","options":["45","60","72","90"],"answer":"B","correct_option":"60","explanation":"The first person has 5 options i.e. 5 chairs to choose from\nThe second person has 4 options i.e. 4 chairs to choose from (first one has already taken a chair)\nThe third person has 3 options i.e. 3 chairs to choose from (two chairs are already gone)\nTotal seating arrangements 5*4*3 = 60\nANS:B","dataset":"aqua_rat"}
{"question":"Two trains of equal are running on parallel lines in the same direction at 48 km\/hr and 36 km\/hr. The faster train passes the slower train in 36 sec. The length of each train is?","options":["60 m","72 m","80 m","82 m"],"answer":"A","correct_option":"60 m","explanation":"Let the length of each train be x m.\nThen, distance covered = 2x m.\nRelative speed = 48 - 36 = 12 km\/hr.\n= 12 * 5\/18 = 10\/3 m\/sec.\n2x\/36 = 10\/3=> x = 60.\nANSWER:A","dataset":"aqua_rat"}
{"question":"A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.","options":["36kmph","42kmph","48kmph","52kmph"],"answer":"A","correct_option":"36kmph","explanation":"In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train\nIn 30 sec the train travels a distance of 300 mtrs\nSpeed = 300\/30 = 10 m\/s = 10 * 18\/5 = 36 kmph\nAnswer: A","dataset":"aqua_rat"}
{"question":"On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 220 points, how many points did Bill receive?","options":["30","40","50","60"],"answer":"D","correct_option":"60","explanation":"consider john's points as x\nso bill's points are x +20\nSo sue's points are 2x +40\ntotal of all three students is 4x +60, but this total is given as 220\nx = 40\nso bill's points = 40 +20 = 60\ncorrect answer option D","dataset":"aqua_rat"}
{"question":"If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y","options":["8","2","6","4"],"answer":"D","correct_option":"4","explanation":"2(l+b)=x;\n2(l+y+b+y)=x+16;\n2(l+b)+4y=x+16;\nx+4y=x+16;\ny=4\nANSWER:D","dataset":"aqua_rat"}
{"question":"A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?","options":["26 min 18 sec","42 min 36 sec","45 min","46 min 12 sec"],"answer":"D","correct_option":"46 min 12 sec","explanation":"L.C.M of 252, 308 and 198 = 2772\nSo, A, B and C will again meet at the starting point in 2772 sec, i.e., 46 min 12 sec.\nANSWER:D","dataset":"aqua_rat"}
{"question":"If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 48?","options":["12","18","24","30"],"answer":"A","correct_option":"12","explanation":"The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.\nThe greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.\n48=2*3*8 is divisible by 12. therefore the greatest common divisor is 12\nA","dataset":"aqua_rat"}
{"question":"a what with feathers evolved from theropods?","options":["alpacas","long tail","plant","animal"],"answer":"D","correct_option":"animal","explanation":"an animal with feathers can evolve from theropods.","dataset":"qasc"}
{"question":"Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 7x boxes?","options":["3 minutes","4 minutes","5 minutes","14 minutes"],"answer":"D","correct_option":"14 minutes","explanation":"Rate = Work \/ Time\nGiven Rate of Machine A = X \/ 10 min\nMachine B Produces 2x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .\nRate of Machine B = 4x \/ 10\nwe need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates\nlet's first find the combined Rate of Machine A and B\nRate of Machine A = X \/ 10 min + Rate of Machine B = 4x \/ 10 = 5X\/10\nNow combine Time = combine work needs to be done \/ Combine Rate = 7x\/5x * 10 = 14 Min\nAns: D","dataset":"aqua_rat"}
{"question":"A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?","options":["128","144","176","186"],"answer":"B","correct_option":"144","explanation":"Explanation:\nGiven that SP = Rs. 102 and loss = 15%\nCP = [100(SP)]\/(100 - l%) = (100 * 102)\/85 = 20 * 6 = Rs. 120.\nTo get 20% profit, New SP = [(100 + p%)CP]\/100 = (120 * 120)\/100 = Rs. 144\nAnswer:B","dataset":"aqua_rat"}
{"question":"A person traveled from P to Q at a speed of 40km\/hr and return by increasing his speed by 50km\/hr. What is his average speed for both the trips?","options":["30km\/hr","50km\/hr","55km\/hr","48km\/hr"],"answer":"D","correct_option":"48km\/hr","explanation":"Speed on return trip = 150% of 40 = 60kmph\nAverage = 2*40*60\/(40+60) = 4800\/100 = 48km\/hr\nAnswer is D","dataset":"aqua_rat"}
{"question":"Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 2.0 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?","options":["$33.75","$47.25","$60.75","$54.00"],"answer":"C","correct_option":"$60.75","explanation":"Daily working hour*Regular Rate + Overtime*Increased Rate\n7.5*4.5+ 3*4.5*2.0=60.75\nAnswer C","dataset":"aqua_rat"}
{"question":"The Appalachians reach amazing heights because of how stone","options":["blew up","piles together","melted lava","created anchors"],"answer":"B","correct_option":"piles together","explanation":"","dataset":"science"}
{"question":"Simplify (3^y + 3^y + 3^y) (3^y + 3^y + 3^y)","options":["4^4y * 3^3y","9^y+1","16^y + 9^y","12^y"],"answer":"B","correct_option":"9^y+1","explanation":"B\n(3^y + 3^y + 3^y) (3^y + 3^y + 3^y)\n(3*3^y)(3*3^y)\n9*9^y=9^(y+1)..","dataset":"aqua_rat"}
{"question":"By selling a pen for Rs.15, a man loses one sixteenth of what it costs him.The cost price of the pen is","options":["Rs.16","Rs.18","Rs.20","Rs.21"],"answer":"A","correct_option":"Rs.16","explanation":"Solution\nLet the C.P be Rs.x.Then,\nx-15=x\/16\t\u2039=\u203ax-x\/16 = 15\n15x\/16=15\nx = 16.\nTherefore, C.P= Rs.16.\nAnswer A","dataset":"aqua_rat"}
{"question":"Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If\nthey are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.","options":["210 km","240 km","220km","180km"],"answer":"A","correct_option":"210 km","explanation":"In first 3 hours T1 travels R km and T2 travels S km.\nAfter 6 hours they traveled R+S+70+ 700\n2(R+S ) = R+S +140\nR+S = 140\nHence distance between XY is R+S+ 70 = 140 +70 =210\nAnswer : A","dataset":"aqua_rat"}
{"question":"A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?","options":["2.86","2.88","2.80","2.87"],"answer":"B","correct_option":"2.88","explanation":"M = 6\nS = 1.2\nDS = 6 + 1.2 = 7.2\nUS = 6 - 1.2 = 4.8\nx\/7.2 + x\/4.8 = 1\nx = 2.88\nAnswer: B","dataset":"aqua_rat"}
{"question":"What number should replace the question mark? 5, 24, 11, 20, 17, 16, ---?","options":["20","23","22","21"],"answer":"B","correct_option":"23","explanation":"Answer: B\n5, 24, 11, 20, 17, 16, 23?\nThere are two alternate sequences: +6 and -4.","dataset":"aqua_rat"}
{"question":"The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder T of Y divided by 5?","options":["T=1.","T=2.","3.","4."],"answer":"B","correct_option":"T=2.","explanation":"X divided by 10 gives reminder of 2. X can be 2\/12\/22....\nX+Y divided by 5 is 4. X + Y can be 4\/ 9\/ 19....\nIf X+Y= 4 and X is 2 then Y = 2 and Y\/5 will give a reminder of 2\nSimilarly, if X+Y= 9 and X = 2, then y\/5 will give a reminder of 2\nHence the answer must be 2 (B)\nAlso....\nx+y=5m+4 and x=10K+2\nhence 10k+2+y=5m+4 or y=5(m-2k)+2, m-2k being a constant remainder is 2 hence answer is B","dataset":"aqua_rat"}
{"question":"Average of prime numbers ranging 1 to 50 is?","options":["23","22.86","21.86","21"],"answer":"C","correct_option":"21.86","explanation":"Explanation:\nAverage = (2+3+5+7+11+13+17+19+23+29+31+37+41+43+47)\/15 = 328\/15= 21.8666\nAnswer is C","dataset":"aqua_rat"}
{"question":"In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?","options":["3:16.","2:3.","1:3.","3:4."],"answer":"C","correct_option":"1:3.","explanation":"Amount for Store a = 10 * 4 = 40\nAmount for Store b = 40 * 3 = 120\nRatio of Total Amount Would be = 40\/120 = 1:3\nANSWER:C","dataset":"aqua_rat"}
{"question":"Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100","options":["1200","1300","1400","1500"],"answer":"B","correct_option":"1300","explanation":"Explanation :\nConsider number of 5's only.\n(5+10+15+20+50+30+35+40+45+100+55+60+65+70+75+150+80+85+90+95+200)\n=1300\nAnswer : B","dataset":"aqua_rat"}
{"question":"If the charge of staying in a student youth hostel $18.00\/day for the first week, and $15.00\/day for each additional week, How much does it cost to stay for 23 days?","options":["$336","$289","$282","$274"],"answer":"A","correct_option":"$336","explanation":"Total number of days of stay = 23\nCharge of staying in first week = 18*7 = 126 $\nCharge of staying for additional days =(23-7)*15 = 16*15 = 240 $\nTotal charge =126 +240 = 366$\nAnswer A","dataset":"aqua_rat"}
{"question":"A military garrison in a wild frontier has 600 men who have provisions to last 22 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?","options":["13 1\/3","12 1\/3","10 2\/3","12 1\/2"],"answer":"C","correct_option":"10 2\/3","explanation":"Total provisions=600*22*7=92400\nProvisions used for in 6 weeks=6*7*600=25200\nremaining provisions=67200\nremaining provisions need to be split between 900(600+300) people.\nNumber of provisions per person= 67200\/900\nwe need to find the answer in terms of weeks=(67200\/900)\/7=10 2\/3\nAnswer:C","dataset":"aqua_rat"}
{"question":"If Rs.10 be allowed as true discount on a bill of Rs.110 due at the end of a certain time,then the discount allowed on the same sum due at the end of double the time is :","options":["Rs. 20","Rs. 21.81","Rs. 22","Rs. 18.33"],"answer":"D","correct_option":"Rs. 18.33","explanation":"Solution\nS.I. on Rs.(110 -10) for a certain time =Rs.10.\nS.I. on Rs. 100 for double the time =Rs. 20.\nT.D. on Rs. 120 =Rs.(120 -100)=Rs. 20.\nT.D. on Rs. 110 =Rs.left ( 20\/120x120 ) =Rs.18.33.\nAnswer D","dataset":"aqua_rat"}
{"question":"The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.\nIn a game of blackjack, if your first card is a spade, what are the odds Y that it is an ace?","options":["1\/52","1\/26","1\/13","1\/4"],"answer":"C","correct_option":"1\/13","explanation":"The question should ask about the probability not the odds.\nThere are 13 spades, the probability Y that the spade we already have is an ace is therefore 1\/13.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 80 minutes later?","options":["2(10^5)","8(10^5)","(2^8)(10^5)","(10^8)(10^5)"],"answer":"C","correct_option":"(2^8)(10^5)","explanation":"Every 10 minutes, the population is double the previous population.\nIn 80 minutes, the population doubles 8 times.\nThe population then is 2^8*10^5.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"A survey reveals that the average income of a company\u2019s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $65,000, what is the average income of the other 40 customers?\nIs there a way to solve this using weighted average concept instead of doing tedious calculations?","options":["$27,500","$35,000","$37,500","$40,000"],"answer":"D","correct_option":"$40,000","explanation":"let x be the average of 40 customers\n40*x + 10* 65000 = 50*45000\nsolving this we have x= 40000\nAnswer is D.","dataset":"aqua_rat"}
{"question":"Fossils themselves and the order in which they appear in are generally collectively called what?","options":["fossil record","coal record","fuel cycle","fossil magnitude"],"answer":"A","correct_option":"fossil record","explanation":"There are many layers of rock in the Earth's surface. Newer layers form on top of the older layers; the deepest rock layers are the oldest. Therefore, you can tell how old a fossil is by observing in which layer of rock it was found. The fossils and the order in which fossils appear is called the fossil record . The fossil record provides evidence for when organisms lived on Earth, how species evolved, and how some species have gone extinct. Geologists use a method called radiometric dating to determine the exact age of rocks and fossils in each layer of rock. This technique, which is possible because radioactive materials decay at a known rate, measures how much of the radioactive materials in each rock layer have broken down ( Figure below ).","dataset":"science"}
{"question":"In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?","options":["25","15","65","82"],"answer":"A","correct_option":"25","explanation":"Explanation:\nA scores 60 while B score 40 and C scores 30.\nThe number of points that C scores when B scores 100 = (100 * 30)\/40 = 25 * 3 = 75.\nIn a game of 100 points, B gives (100 - 75) = 25 points to C.\nANSWER A","dataset":"aqua_rat"}
{"question":"When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?","options":["25300","22000","21000","23560"],"answer":"A","correct_option":"25300","explanation":"sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.\nTo get 1% : 18700\/85=220; Then 220 is 1%.\nTo get 100% : 220*100=22000.\nTo get 115% : 220*115=25300.\nANSWER :A","dataset":"aqua_rat"}
{"question":"The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre","options":["22488","16500","27889","23778"],"answer":"B","correct_option":"16500","explanation":"Explanation:\nArea = 5.5 \u00d7 3.75 sq. metre.\nCost for 1 sq. metre. = Rs. 800\nHence total cost = 5.5 \u00d7 3.75 \u00d7 800 = 5.5 \u00d7 3000 = Rs. 16500\nAnswer: B) Rs.16500","dataset":"aqua_rat"}
{"question":"The stoichiometric coefficients indicate the relative amounts of what?","options":["trajectories and products","reactants and products","reactions and products","exigencies and products"],"answer":"B","correct_option":"reactants and products","explanation":"stoichiometric coefficient : The letters a, b, c, and d where A and B are reactants, and C and D are products. The stoichiometric coefficients indicate the relative amounts of reactants and products.","dataset":"science"}
{"question":"How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?","options":["3587.58","3587.52","3587.5","3587.51"],"answer":"C","correct_option":"3587.5","explanation":"I = (8200 * 2.5 * 17.5)\/100\n= (8200 * 5 * 35)\/(100 * 2 * 2)\n= Rs. 3587.50\nAnswer: C","dataset":"aqua_rat"}
{"question":"A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?","options":["a - 4500","b - 9000","c - 13,500","d - 15,500"],"answer":"C","correct_option":"c - 13,500","explanation":"Correct answer is C - 13500.\nTotal profit per weekday = $600 X 3 (shifts)= $1800\nTotal profit per week (apart from SaturdaySunday) = $1800 X 5 = $9000\nTotal profit per shift on weekends = $600 X 125\/100 = $750\nTotal profit on weekends = $750 X 3 (shifts) X 2 (Saturday, Sunday) = $4500.\nHence the answer is - $4500 + $9000 = $13,500. (C)","dataset":"aqua_rat"}
{"question":"The dust bowl happened because of","options":["two football teams","bowling pins","sweeping reform","unsustainable farming practice"],"answer":"D","correct_option":"unsustainable farming practice","explanation":"","dataset":"science"}
{"question":"The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?","options":["10 kmph","15 kmph","19 kmph","17 kmph"],"answer":"B","correct_option":"15 kmph","explanation":"Speed of the boat in still water\n= (100+130)\/2\n= 115 kmph. Speed of the stream\n= (130-100)\/2\n=15 kmph.\nAnswer: B","dataset":"aqua_rat"}
{"question":"In a sample of associates at a law firm, 25 percent are second-year associates, and 75 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?","options":["0","25","50","75"],"answer":"C","correct_option":"50","explanation":"75 percent are not first-year associates --> This means 75 percent associates are either two or more than two years\nAlready, we know % of second-year associates = 25 %\nSo, % of associates there for more than two years = 75 % - 25 % = 50 % .. => (C).. Is it correct ?","dataset":"aqua_rat"}
{"question":"A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?","options":["20%","40%","50%","60%"],"answer":"C","correct_option":"50%","explanation":"Soln:-\noriginal SP = X\nCost =C\ncurrent selling price = .8x ( 20% discount)\n.8x = 1.2C (20% profit)\nx= 1.2\/.8 *C\nx= 3\/2 C\nOriginal selling price is 1.5C which is 50% profit\nANSWER:C","dataset":"aqua_rat"}
{"question":"Which animal produces more eggs","options":["African Driver Ant","Humans","Monkeys","Goats"],"answer":"A","correct_option":"African Driver Ant","explanation":"","dataset":"science"}
{"question":"what is ozone made of?","options":["oxygen","gas","dangerous","Energy"],"answer":"A","correct_option":"oxygen","explanation":"ozone is made of oxygen","dataset":"qasc"}
{"question":"The average age of a husband, wife and their child 2 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?","options":["19.2 years","28.5 years","16.4 years","15.6 years"],"answer":"B","correct_option":"28.5 years","explanation":"Sum of the present ages of husband, wife and child\n= (23 * 2 + 5 * 2) = 57 years.\nRequired average\n= 57\/2\n= 28.5 years.\nAnswer:B","dataset":"aqua_rat"}
{"question":"Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 9 hours and 16 hours after they passed each other the ratio of the speeds of the two trains was","options":["2:1","3:2","4:3","5:4"],"answer":"C","correct_option":"4:3","explanation":"Explanation:\nNote : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)\nTherefore, Ratio of the speeds of two trains = = 4 : 3. Answer: C","dataset":"aqua_rat"}
{"question":"A number of 47 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?","options":["10","12","15","16"],"answer":"C","correct_option":"15","explanation":"To maximize # of boxes we should minimize marbles per box: 14*3+1*5=47 --> 14+1=15.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"Which of the following fractions T, if written as a decimal, would have a 2 in the thousandths place ?","options":["3\/11","7\/9","1\/8","4\/7"],"answer":"A","correct_option":"3\/11","explanation":"(A) T=3\/11 = 0.2727272727....\nAnswer: A","dataset":"aqua_rat"}
{"question":"3, 4, 6, 10, 18, (...)","options":["22","34","27","32"],"answer":"B","correct_option":"34","explanation":"Explanation :\n3\n3 \u00d7 2 - 2 = 4\n4\u00d7 2 - 2 = 6\n6\u00d7 2 - 2 = 10\n10 \u00d7 2 - 2 = 18\n18 \u00d7 2 - 2 = 34\nAnswer : Option B","dataset":"aqua_rat"}
{"question":"Find all rational zeros of P(x) = x3*cubic* - 7x + 6.","options":["1,2,-3","2,2,-5","1,4,-7","4,3,-1"],"answer":"A","correct_option":"1,2,-3","explanation":"P(x) = x3*cubic* - 7x + 6 : given\nleading coefficient 1 and its factors are : +1,-1\nconstant term is 6 and its factors are : +1,-1,+2,-2,+3,-3,+6,-6\npossible rational zeros : +1,-1,+2,-2,+3,-3,+6,-6\ntest : P(1) = 0, P(2) = 0 and P(-3) = 0\nx = 1, x = 2 and x = -3 are the zeros of P(x).\ncorrect answer is A) 1,2,-3","dataset":"aqua_rat"}
{"question":"The angle between the minute hand and the hour hand of a clock when the time is 8:30","options":["80 deg","40 deg","35 deg","75 deg"],"answer":"D","correct_option":"75 deg","explanation":"angle traced hr hand 17\/2 hrs = 300\/12 * 17\/2 = 255\nangle by min 30 min (360\/60*30)=180\nreq = 255-180 = 75\nANSWER D","dataset":"aqua_rat"}
{"question":"A three-person committee must be chosen from a group of 10 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?","options":["A)70","B)1020","C)630","D)1,260"],"answer":"B","correct_option":"B)1020","explanation":"Total number of ways to select at least one professor = Number of ways to select 3 people from 10 students and 10 professors - Number of ways to select 3 people from 10 student (i.e. without including any professor)\n= 20C3 - 10C3 = 1140 - 120 = 1020\nANSWER:B","dataset":"aqua_rat"}
{"question":"If an object travels 80 feet in 4 seconds, what is the object\u2019s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)","options":["7.25","9.47","11.58","13.64"],"answer":"D","correct_option":"13.64","explanation":"80 feet\/4 seconds = 20 feet\/second\n(20 feet\/second)*(3600 seconds\/hour)*(1 mile\/5280 feet) = 13.64 miles\/hour (approximately)\nThe answer is D.","dataset":"aqua_rat"}
{"question":"The length of a bridge in meters, which a train 110-meters long and traveling at 45 km\/hr can cross in 30 seconds is?","options":["245","265","295","325"],"answer":"B","correct_option":"265","explanation":"45 km\/h = 45000 m\/3600 s = 12.5 m\/s\nIn 30 seconds, the train can go 30(12.5) = 375 meters\nLet x be the length of the bridge.\nx+110 = 375 meters\nx = 265 meters\nThe answer is B.","dataset":"aqua_rat"}
{"question":"How many numbers between 0 and 1370 have a prime tens digit and a prime units digit?","options":["204","212","220","228"],"answer":"C","correct_option":"220","explanation":"From 1-9 there are 4 prime numbers {2, 3, 5, 7}. The 10s and 1s of the number must be made with these numbers. The total number of combinations is 4*4 = 16. Thus every set of 100 consecutive positive integers has 16 such numbers.\nFrom 0 to 1300, there 16*13 = 208 such numbers.\nFrom 1301 to 1370, the 10s units can only use 3 numbers {2, 3, 5}. 3*4 =12.\nThe total number is then 208+12 = 220\nThe answer is C.","dataset":"aqua_rat"}
{"question":"A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train?","options":["36 km\/hr","64 km\/hr","84 km\/hr","91 km\/hr"],"answer":"C","correct_option":"84 km\/hr","explanation":"total distance cover by train in 15sec=150+200m\nspeed=distance\/time\nspeed=350\/15(m\/s)\nspeed in km\/hr=350\/15*18\/5=84km\/hr\nANSWER:C","dataset":"aqua_rat"}
{"question":"The length of the bridge, which a train 130 m long and traveling at 45 km\/hr can cross in 30 sec is?","options":["188","166","245","777"],"answer":"C","correct_option":"245","explanation":"Speed = 45 * 5\/18 = 25\/2 m\/sec.\nTime = 30 sec\nLet the length of bridge be x meters.\nThen, (130 + x)\/30 = 25\/2\nx = 245 m.\nAnswer: C","dataset":"aqua_rat"}
{"question":"Mr. JACK invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 33% and Fund Y paid 15%. The interest earned in Fund Y was exactly $500 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?","options":["31,041.66","45,041.66","37,041.78","78,041.90"],"answer":"A","correct_option":"31,041.66","explanation":"X+Y=100,000\n0.15Y=0.33A+500\nTake away decimals first: 15Y+33X+50,000\nIsolate first equation to solve for X (your goal): Y=100,000-Y\nPlug in for B:\n15(100,000-X)=33X+30,000\n1,500,000-15X=33X+10,000\n1,490,000=48X\n1,490,000\/48=X\nX=31,041.66=Answer Choice A","dataset":"aqua_rat"}
{"question":"A library has 360 math books; 60 Calculus books, 120 Geometry books, and 180 Algebra books. What percentage of books are Geometry books ?","options":["33.3 %","16.7 %","66.7 %","77 %"],"answer":"A","correct_option":"33.3 %","explanation":"Explanation :\nGeometry Book percentage = (120\/360 x 100)%\n= 33.3 %\nAnswer : A","dataset":"aqua_rat"}
{"question":"A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is","options":["285","337","878","227"],"answer":"A","correct_option":"285","explanation":"Explanation:\nSince the month begins with a Sunday, so there will be five Sundays in the month,\nRequired average = (510 * 5 + 240 * 25) \/ 30 = 8550\/30 = 285.\nAnswer: A","dataset":"aqua_rat"}
{"question":"A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score\ndid he make by running between the wickets","options":["40%","50%","60%","70%"],"answer":"B","correct_option":"50%","explanation":"Explanation:\nNumber of runs made by running = 110 - (3 x 4 + 8 x 6)\n= 120 - (60)\n= 60\nNow, we need to calculate 60 is what percent of 120.\n=> 60\/120 * 100 = 50 %\nAnswer: Option B","dataset":"aqua_rat"}
{"question":"A 2000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?","options":["8","12","18","24"],"answer":"B","correct_option":"12","explanation":"In: we have: 1,000\/2min = 500 litres per minute\nOut: we have: 1,000\/4 + 1,000\/6\nThen do: IN - OUT to figure out the net inflow per minute (you get 83.3). Then divide the total number of litres you need (1,000 by that net inflow to get the minutes) - 12 min. Answer B.","dataset":"aqua_rat"}
{"question":"A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:","options":["2477","387","698","377"],"answer":"C","correct_option":"698","explanation":"Explanation:\nS.I. for 1 year = Rs. (854 - 815) = Rs. 39.\nS.I. for 3 years = Rs.(39 x 3) = Rs. 117.\nPrincipal = Rs. (815 - 117) = Rs. 698\nAnswer: C) 698","dataset":"aqua_rat"}
{"question":"When liquids are heated above a point, a liquid is converted to what?","options":["hot","acid","gas","water"],"answer":"C","correct_option":"gas","explanation":"Converting a liquid to a gas happens when liquids are heated above a point.","dataset":"qasc"}
{"question":"If x and y are positive integers and 9 + x + y + xy = 23, what is the value of x + y?","options":["3","5","6","8"],"answer":"C","correct_option":"6","explanation":"Try each answer choices.\nFor A: 9 + 3 + xy = 23; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)\nFor B: 9 + 5 + xy = 23; xy = 9 (no combination of xy = 9 and x + y = 5)\nFor C: 9 + 6 + xy = 23; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)\nFor D: 9 + 8 + xy = 23; xy = 6 (no combination of xy = 6 and x + y = 8)\nFor E: 9 + 9 + xy = 23; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)\nTherefore, answer C.","dataset":"aqua_rat"}
{"question":"If k is the sum of the digits of integer m, and m=10n, where n is an integer, which of the following must be true?","options":["k is not divisible by 9","The sum of the digits of k is divisible by 3","m is a multiple of 10k","k is a multiple of 9"],"answer":"C","correct_option":"m is a multiple of 10k","explanation":"m= 10n i.e n =1,2,3 ,4 etc or -1,-2.-3 ,-4 then m =10,20,30,40 or -10 ,-20 ,-30 ,-40 then k 1,2, 3,4 or -(1+0) , -(2+0) , -(3+0) ,-(4+0) .\nans(C)","dataset":"aqua_rat"}
{"question":"In a certain city, 50% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?","options":["a) 50%","b) 53%","c) 54%","d) 55%"],"answer":"C","correct_option":"c) 54%","explanation":"Let total voters = 100\nso D= 50, vote for the mayor 60*75%=45 (60*3\/4)\nR= 40, vote for the mayor 40*20%= (40*1\/5)\n46+8=54\n54\/100*100=54%\nC","dataset":"aqua_rat"}
{"question":"If {p} denote the remainder when 3p is divided by 2 then which of the following is equal to 1 for all positive integers p?\nI. {2p+1}\nII. {2p}+1\nIII. 2{p+1}","options":["I only","II only","I and II","III only"],"answer":"C","correct_option":"I and II","explanation":"C - I and II\n3p\/2 = 0 or 1\nI just substituted 1 in the equations and solved.","dataset":"aqua_rat"}
{"question":"If a fish lives in water that is very dark, the fish may calibrate its body over time to","options":["absorb helium","turn invisible","eat more","be blind"],"answer":"D","correct_option":"be blind","explanation":"","dataset":"science"}
{"question":"If s and t are positive integers such that s\/t = 64.15, which of the following could be the remainder when s is divided by t?","options":["14","16","18","20"],"answer":"C","correct_option":"18","explanation":"0.15 = 3\/20\nThe remainder must be divisible by 3.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?","options":["2400","2408","2777","29087"],"answer":"A","correct_option":"2400","explanation":"1200 * 12: x * 9 = 2:3\nx = 2400\nAnswer: a","dataset":"aqua_rat"}
{"question":"What organism carries out only fermentation or anaerobic respiration?","options":["aldehydes","metabolites","obligate anaerobes","aerobicc enzymes"],"answer":"C","correct_option":"obligate anaerobes","explanation":"","dataset":"science"}
{"question":"What are vascular plants that produce seeds in cones?","options":["evergreens","it needs them","Leptospirosis","epidermal"],"answer":"A","correct_option":"evergreens","explanation":"evergreens are vascular plants that produce seeds in cones","dataset":"qasc"}
{"question":"What is the rate percent when the simple interest on Rs.600 amount to Rs.160 in 4 Years?","options":["6.66%","7.66%","6.06%","6.16%"],"answer":"A","correct_option":"6.66%","explanation":"160 = (600*4*R)\/100\nR = 6.66%\nANSWER:A","dataset":"aqua_rat"}
{"question":"In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:","options":["5 km\/h","8 km\/h","10 km\/h","15 km\/h"],"answer":"C","correct_option":"10 km\/h","explanation":"Let A's speed be X km\/hr.\nThen, 60\/x - 60\/2x = 2\n6x = 60\nx = 10 km\/hr.\nAnswer : C","dataset":"aqua_rat"}
{"question":"Find out the wrong term in the series 2, 3, 4, 4, 6, 8, 9, 12, 16","options":["9","8","7","6"],"answer":"A","correct_option":"9","explanation":"Explanation:\nThe given sequence is a combination of three series:\ni)1st, 4th, 7th terms i.e, 2, 4, 9\nii)2nd, 5th, 8th terms i.e, 3, 6, 12\niii)3rd, 6th, 9th terms i.e, 4, 8, 16\nIn each one of i, ii, iii, each term is twice the preceding term.\nSo, 9 is wrong and must be replaced by (4*2) = 8\nAnswer: A) 9","dataset":"aqua_rat"}
{"question":"(935421 x 625) = ?","options":["584638125","584638130","584638135","584638140"],"answer":"A","correct_option":"584638125","explanation":"935421 x 625 = 935421 x 54 = 935421 x 10 4\n2\n=\t935421 x 104\t=\t9354210000\n24\t16\n= 584638125\nA)","dataset":"aqua_rat"}
{"question":"Of the 6 distinguishable wires that lead into an apartment, 2 are for cable television service, and 3 are for telephone service. Using these wires, how many distinct combinations of 3 wires are there such that at least 1 of the wires is for cable television?","options":["6","7","8","9"],"answer":"C","correct_option":"8","explanation":"Given:\nTotal number of wires = 6\nNumber of cable wires = 2\nNumber of telephone wires = 3\nTo find:\nNumber of combination which has at least one cable wires\nSolution:\nNo of ways of selecting'at least'1 cable wire means, we can select more than one as well. The minimum we can select is one and the maximum we can select, given the constraints that 3 wires need to be selected in total and there are 2 cable wires, is 2\nSince it is a combination of wires, the arrangement is not important\nApproach 1:\nNumber of ways of selecting at least one cable wire in a selection of 3 wires from 5 wires =Selection 1(Number of ways of selecting one cable wire and two telephone wires )+Selection 2(Number of ways of selecting two cable wires and 1 telephone wire)\nSelection 1\nNumber of ways of selecting one cable wire = 2C1 = 2\nNumber of ways of selecting 2 telephone wires = 3C2 = 3\nTotal = 2C1 * 3C2 = 6 ( m ways of doing something and n ways of doing something else together give m*n ways of doing - the holy grail rule in Combinatorics)\nSelection 2\nNumber of ways of selecting one cable wire = 2C2 = 1\nNumber of ways of selecting 2 telephone wires = 3C1 = 3\nTotal = 2C2 * 3C1 = 3 ( m ways of doing something and n ways of doing something else together give m*n ways of doing - the holy grail rule in Combinatorics)\nSelection 1 + Selection 2 = 9 ways of selecting 3 wires out of 5 such that at least one is a cable wire\nApproach 2\nNumber of ways of selecting 3 wires out of 5 such that at least one is a cable wire =Selection X(Total number of ways of selecting 3 wires from the 5) -Selection Y(total ways of selecting 3 wires such that none is a cable i.e all the three are telephone wires)\nTotal number of ways of selecting 3 wires out of 5 = 5C2 = 10\nNumber ways of selecting 3 wires such that none is a cable i.e all the three are telephone wires = 3C3 ( 3 telephone wires and we are selecting all the three at once) = 1\nSelection X - Selection Y = 8\nAnswer is Option C","dataset":"aqua_rat"}
{"question":"In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?","options":["10","11","8","9"],"answer":"B","correct_option":"11","explanation":"Let the number of papers be x. Then,\n63x + 20 + 2 = 65x\n= 2x = 22\n= x = 11.\nANSWER B","dataset":"aqua_rat"}
{"question":"One pump drains one-half of a pond in 4 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?","options":["1 hour","1.1 hour","3 hours","5 hours"],"answer":"B","correct_option":"1.1 hour","explanation":"First pump drains 1\/2 of the tank in 4 hours\nso 8 hours it will take to drain the full tank.\nLet, 2nd pump drains the full tank in a hours\nso both together can drain (1\/8+1\/a) part in 1 hour\nson in 1\/2 hour they drain 1\/2*(1\/8+1\/a) part of the tank\ngiven that in 1\/2 hour they drain 1\/2 of the tank\nhence we can say\n1\/2*(1\/8+1\/a) = 1\/2\nsolving u get a = 8\/7=1.1\nHence answer is B","dataset":"aqua_rat"}
{"question":"What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?","options":["5%","7%","9%","2%"],"answer":"A","correct_option":"5%","explanation":"160 = (180*4*R)\/100\nR = 5%\nAnswer: A","dataset":"aqua_rat"}
{"question":"On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders T will be:[\/b]","options":["3, 3, 2","3, 4, 2","5, 4, 3","T=5, 5, 2"],"answer":"D","correct_option":"T=5, 5, 2","explanation":"Let the original number be X. Then by the successive dividing we have followings :\nX=5A+2\nA=7B+3\nB=8C+4.\nSo we have A=7*(8C+4)+3=7*8C+31, and X=5*(7*8C + 31)+2 = 5*7*8C + 157.\nNow by dividing X by 8, 7, 5 successively we have followings :\nX=8*(5*7C+19)+5\n5*7C+19=7*(5C+2) + 5\n5C+2=5C+2.\nThe remainders are, therefore, 5, 5, 2.\nThe answer is (D).","dataset":"aqua_rat"}
{"question":"Two trains A and B are 100 m and 150 m long and are moving at one another at 54 Km\/hr and 36 Km\/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.","options":["10 s","6 s","4 s","8 s"],"answer":"B","correct_option":"6 s","explanation":"DETAILED SOLUTION\nSpeed of A = 54\u22171000\/60\u221760 = 15 m\/s\nSpeed of B = 36\u22171000\/60\u221760 = 10 m\/s\nRelative speed = S1 + S2 = 15 + 10 m\/s = 25 m\/s\nThe length that needs to be crossed = length of train B = 150 m. Therefore time taken = 150\/25 = 6s.\nWhat is the time taken for trains to completely cross each other? The length that needs to be crossed = 100 + 150 = 250 m. Time taken = 250\/25 = 10 s.\nCORRECT ANSWER B.","dataset":"aqua_rat"}
{"question":"If books bought at prices ranging from Rs. 110 to Rs. 240 are sold at prices ranging from Rs. 150 to Rs 280, what is the greatest possible profit that might be made in selling 10 books ?","options":["Rs. 1700","Rs. 3000","Rs. 3500","Rs. 3200"],"answer":"A","correct_option":"Rs. 1700","explanation":"The greatest profit is possible only if the cost price of the books are minimum and selling prices are maximum.\nLet lowest cost price of the 10 books = 110*10 = Rs. 1,100\nMaximum selling price of 10 books = 280 *10 = Rs. 2,800\nSo, maximum profit = 2800 - 1100 = Rs. 1,700\nANSWER : OPTION A","dataset":"aqua_rat"}
{"question":"A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?","options":["10 days","20 days","5 days","4 days"],"answer":"B","correct_option":"20 days","explanation":"Explanation:\nC = 1\/2 - 1\/4 - 1\/5 = 1\/20 => 20 days\nAnswer: Option B","dataset":"aqua_rat"}
{"question":"Overpopulation may result","options":["from the deaths of many organisms","from a boom in reproduction of an organism","from natural predators hunting organisms","from organisms self regulating their population"],"answer":"B","correct_option":"from a boom in reproduction of an organism","explanation":"","dataset":"science"}
{"question":"2,3,4,5,7,11 which number is wrong in series","options":["3","4","2","5"],"answer":"B","correct_option":"4","explanation":"4...........\nall are prime numbers expect 4\nANSWER:B","dataset":"aqua_rat"}
{"question":"A man walks at a speed of 3 km\/hr and runs at a speed of 7 km\/hr. How much time will the man require to cover a distance of 10 1\/2 km, if he completes half of the distance, i.e., (5 1\/4) km on foot and the other half by running?","options":["3 1\/2 hours","5 1\/2 hours","2 1\/2 hours","7 1\/2 hours"],"answer":"C","correct_option":"2 1\/2 hours","explanation":"C\nRequired time = (5 1\/4)\/3 + (5 1\/4)\/7 = 2 1\/2 hours","dataset":"aqua_rat"}
{"question":"There are 3 numbers A, B and C. If A:B = 3\/4, B:C = 4\/5, C:D = 5\/6, then A:D will be?","options":["1 : 2","3 : 5","5 : 7","6 : 11"],"answer":"A","correct_option":"1 : 2","explanation":"Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6\n\u2234A\u2236B\u2236C\u2236D= 3 : 4 : 5 : 6.\nThus, A : D = 3 : 6 or, 1 : 2\nA","dataset":"aqua_rat"}
{"question":"2\/5 of 3\/7 of 23\/11 of ? = 64 \u00d7 3","options":["511","419","616","636"],"answer":"C","correct_option":"616","explanation":"Explanation:\n2\/5 &time; 3\/7 &time; 20\/11 &time; x = 192\nX = 192 &time; 11 &time; 7 &time; 5\/2 &time; 3 &time; 20 = 616\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"The area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm. What is the perimeter of the square?","options":["289 cm","160 cm","829 cm","288 cm"],"answer":"B","correct_option":"160 cm","explanation":"Area of the square = s * s\n= 5(20* 16)\n=> s = 40\n= 40 cm\nPerimeter of the square\n= 4 * 40\n= 160 cm.\nAnswer: B","dataset":"aqua_rat"}
{"question":"Find the odd man out\n864, 420, 200, 93, 40, 16, 6","options":["420","200","16","93"],"answer":"D","correct_option":"93","explanation":"6x2+4=16\n16x2+8=40\n40x2+12=92\n92x2+16=200.. and so on. 93\nANSWER:D","dataset":"aqua_rat"}
{"question":"If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?","options":["128 m","125 m","198 m","276 m"],"answer":"B","correct_option":"125 m","explanation":"D = 90 * 5\/18 * 5\n=125 m\nAnswer: B","dataset":"aqua_rat"}
{"question":"What is produced when a colorless solution of lead nitrate is added to a colorless solution of potassium iodide?","options":["purple solid precipitate","brown solid precipitate","yellow solid precipitate","blue solid precipitate"],"answer":"C","correct_option":"yellow solid precipitate","explanation":"When a colorless solution of lead(II) nitrate is added to a colorless solution of potassium iodide, a yellow solid called a precipitate is instantly produced ( Figure below ). A precipitate is a solid product that forms from a reaction and settles out of a liquid mixture. The formation of a precipitate may also indicate the occurrence of a chemical reaction.","dataset":"science"}
{"question":"Sony and Johnny caught 80 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?","options":["12","16","34","38"],"answer":"B","correct_option":"16","explanation":"s+j=80\ns=4*j\nj=16\nANSWER:B","dataset":"aqua_rat"}
{"question":"The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:","options":["1008","1015","1022","1032"],"answer":"B","correct_option":"1015","explanation":"Required number = (L.C.M. of 12,16, 18, 21, 28) + 7\n= 1008 + 7\n= 1015\nAnswer: Option B","dataset":"aqua_rat"}
{"question":"A motorcyclist goes from Bombay to Nagpur, a distance of 600 kms at an average of 120 kmph speed. Another man starts from Bombay by car 1 \u00c2\u00bd hours after the first, and reaches Nagpur \u00c2\u00bd hour earlier. What is the ratio of the speed of the motorcycle and the car?","options":["1:2","1:7","1:9","3:5"],"answer":"D","correct_option":"3:5","explanation":"T = 600\/120 = 5 h\nT = 5 - 2 = 3\nTime Ratio = 5:3\nSpeed Ratio = 3:5\nAnswer: D","dataset":"aqua_rat"}
{"question":"In 2008, a certain factory produced 20% more widgets than it did in 2007, and its production in 2009 was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?","options":["31%","35%","40%","44%"],"answer":"A","correct_option":"31%","explanation":"Let P be the original level of production in 2007.\nLet x be the rate of production in 2010 compared to 2009.\nx*1.2*1.2*P = P\nx = 1\/1.44 = 0.6944 which is a decrease of about 31%.\nThe answer is A.","dataset":"aqua_rat"}
{"question":"The 52nd term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is","options":["f","k","l","j"],"answer":"D","correct_option":"j","explanation":"a is one time, b,2 times so on...\nso 52=n(n+1)\/2..\n0r n(n+1)= 104... now 10*11=110...9*10<104 so n= 10.. and 10th alphabet is J. ans D","dataset":"aqua_rat"}
{"question":"Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?","options":["12 min","15 min","20 min","25 min"],"answer":"A","correct_option":"12 min","explanation":"art filled by A in 1 min. = 1\/20\nPart filled by B in 1 min. = 1\/30\npart filled by (A + B) in 1 min. = 1\/20 + 1\/30 = 1\/12.\nBoth the pipes can fill the tank in 12 minutes.\nANSWER A","dataset":"aqua_rat"}
{"question":"A department store perceived a run on a lower priced garment and raised the price by 20% to keep stock available until another shipment arrived. Customers fumed and the department store manager allowed them to purchase the garments at 80% of the new price to save face. What was the difference in the new retail price and the price the customers were allowed to pay instead?","options":["4.0%","5.0%","6.0%","7.0%"],"answer":"A","correct_option":"4.0%","explanation":"Quantity X Rate = Price\n1 X 1 = 1\n0.8 X 1.20 = 0.960\nDecrease in price = (0.040\/1) \u00c3\u2014 100 = 4.0%\nAnswer = Option A","dataset":"aqua_rat"}
{"question":"The value of x + x(xx) when x = 2 is","options":["6","2","8","10"],"answer":"D","correct_option":"10","explanation":"x + x(xx)\nPut the value of x = 2 in the above expression we get,\n2 + 2(22)\n= 2 + 2(2 \u00d7 2)\n= 2 + 2(4)\n= 2 + 8\n= 10.\nAnswer is D.","dataset":"aqua_rat"}
{"question":"Some birds are pollinators that co-evolved with what other type of organism?","options":["animals","humans","vegetation","producers"],"answer":"D","correct_option":"producers","explanation":"Some birds are pollinators that co-evolved with producers.","dataset":"qasc"}
{"question":"What two forces tend to keep an animal stationary and thus oppose locomotion?","options":["thickness and gravity","workload and gravity","friction and gravity","stength and gravity"],"answer":"C","correct_option":"friction and gravity","explanation":"","dataset":"science"}
{"question":"We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $548. How many green hats did we buy?","options":["36","38","40","42"],"answer":"B","correct_option":"38","explanation":"Let B be the number of blue hats and let G be the number of green hats.\nB+G=85.\nB=85-G.\n6B+7G=548.\n6(85-G)+7G=548.\n510-6G+7G=548.\nG=548-510=38.\nThe answer is B.","dataset":"aqua_rat"}
{"question":"Pale skin and reduced eyes in salamanders that live in dark caves are an example of what?","options":["reproduction","expansion","adaptations","interpretation"],"answer":"C","correct_option":"adaptations","explanation":"Salamanders are found in most moist or arid habitats in the Northern Hemisphere, but can also be found south of the equator. They live on all continents except Antarctica and Australia. Salamanders live in or near water or on moist ground, often in a swamp. Some species live in water most of their life, some live their entire adult life on land, and some live in both habitats. Some salamanders live in caves. These salamanders have pale skin and reduced eyes as they have adapted to living in complete darkness in underground pools of water. The reduced eyes are similar to other organisms that live in caves or underground.","dataset":"science"}
{"question":"From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 11 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?","options":["38","39","40","41"],"answer":"D","correct_option":"41","explanation":"Soln:-\n11x=45 --> 10\/9*x=45 --> x=45*9\/10=1500\/37=~41.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"Amino acids are made by which kind of plastid?","options":["sporozoans","neuroplasts","glucoplasts","leucoplasts"],"answer":"D","correct_option":"leucoplasts","explanation":"Leucoplasts are plastids that store substances such as starch or make small molecules such as amino acids.","dataset":"science"}
{"question":"A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?","options":["3 : 6","3 : 9","3 : 3","3 : 4"],"answer":"D","correct_option":"3 : 4","explanation":"Since S # 1\/t\nS1 : S2 = 1\/t1 : 1\/t2 = 1\/8 : 1\/6 = 3 : 4\nAnswer:D","dataset":"aqua_rat"}
{"question":"A 470 m long train is running at a speed of 55 Km\/hr. It crossed a platform of length 520 m in ?","options":["41.1 sec","64.8 sec","31.8 sec","50.4 sec"],"answer":"B","correct_option":"64.8 sec","explanation":"Speed = 55 Km\/hr\n(to convert km\/hr in to M\/s)\n= 55 x 5\/18 M\/s\nDistance = 470 m + 520 m ( If questions is about train crossing a post you need to consider only the length of Train, )\n= 990 m\nTime = Distance \/ Speed\n= 990 x 18 \/ (5 x 55)\n= 64.8 sec\nAns is :B","dataset":"aqua_rat"}
{"question":"Jacob is now 12 years younger than Michael. If 11 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?","options":["3","7","15","5"],"answer":"D","correct_option":"5","explanation":"Jacob=x years, Mike=x+12 years\n11 years from now,\n2(x+11)=x+23\n2x+22=x+23\nx=1\nx+4=5 years\nAnswer D","dataset":"aqua_rat"}
{"question":"In a group of 100 people,60 like volleyball,50 like hockey. How many like both volleyball and hockey?","options":["20","15","10","5"],"answer":"C","correct_option":"10","explanation":"Make a Venn diagram, and enter your data.\nLet the number of people who like both volleyball and hockey be x\n60-x+x+50-x = 100\nx = 10\nso number who like both volleyball and hockey = 10\nAnswer C","dataset":"aqua_rat"}
{"question":"What do rotating vanes on an electric fan do to air?","options":["dampen","circulate","cool","warm"],"answer":"B","correct_option":"circulate","explanation":"","dataset":"science"}
{"question":"The elements in group 2 are called what?","options":["noble gases","alkaline earth metals","metal alloys","halogens"],"answer":"B","correct_option":"alkaline earth metals","explanation":"The elements in Group 2 (beryllium, magnesium, calcium, strontium, barium, and radium) are called the alkaline earth metals (see Figure below ). These elements have two valence electrons, both of which reside in the outermost s sublevel. The general electron configuration of all alkaline earth metals is n s 2 . The alkaline earth metals are still too reactive to exist in nature as free elements, but they are less reactive than the alkali metals. They tend to be harder, stronger, and denser than the alkali metals, and they also form numerous compounds with nonmetals.","dataset":"science"}
{"question":"A person will make ethanol out of all aside from","options":["salt","grain","corn","maize"],"answer":"A","correct_option":"salt","explanation":"","dataset":"science"}
{"question":"The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot?","options":["11","33","24","31"],"answer":"B","correct_option":"33","explanation":"R\/B = 3\/8 and B =90\nR = 90*3\/8 = 33","dataset":"aqua_rat"}
{"question":"What are the two types of fats?","options":["thick and thin","full and empty","saturated and unsaturated","liquid and solid"],"answer":"C","correct_option":"saturated and unsaturated","explanation":"Fats may be either saturated or unsaturated. A saturated fat is a fat that consists of triglycerides whose carbon chains consist entirely of carbon-carbon single bonds. Therefore, the carbon chains are saturated with the maximum number of hydrogen atoms possible. An unsaturated fat is a fat that consists of triglycerides whose carbon chains contain one or more carbon-carbon double bonds . A fat with one double bond is called monounsaturated, while a fat with multiple double bonds is called polyunsaturated (see Figure below ).","dataset":"science"}
{"question":"A and B can do a piece of work in 10 days, while B and C can do the same work in 15 days and C and A in 25 days. they started working together, after 4 days A left. After another 4 days B left. In how many days C can finish the remaining work?","options":["16","32","64","96"],"answer":"D","correct_option":"96","explanation":"Let the rates of A, B and C be a, b, and c respectively.\nA and B can do a piece of work in 10 days: a + b = 1\/10;\nB and C can do the same work in 15 days: b + c = 1\/15;\nC and A can do the same work in 25 days: c + a = 1\/25.\nSum the above 3 equations: 2(a + b + c) = 31\/150 --> a + b + c = 31\/300\nSubtract a + b = 1\/10 from above to get c = 1\/300.\nFor 4 days all 3 worked and completed 4*(a + b + a) = 124\/300 of the work.\nFor the next 4 days B and C worked and they completed 4(b + c) = 4\/15 = 80\/300 of the work.\nSo, by the time C is left alone 1 - (124\/300 + 80\/300) = 96\/300 of the work is left to be completed by C alone.\nTime = Job\/Rate = (96\/300)\/(1\/300) = 96 days.\nAnswer: D","dataset":"aqua_rat"}
{"question":"If 20% of a number = 400, then 120% of that number will be?","options":["20","120","360","2400"],"answer":"D","correct_option":"2400","explanation":"Let the number x. Then,\n20% of x = 400\nx = (400 * 100)\/20 = 2000\n120% of x = (120\/100 * 2000) = 2400.\nANSWER:D","dataset":"aqua_rat"}
{"question":"The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?","options":["28%","25%","24%","23%"],"answer":"B","correct_option":"25%","explanation":"explanation:\n15 CP = 20 SP\n20 --- 5 CP loss\n100 --- ? => 25% loss\nAnswer: B","dataset":"aqua_rat"}
{"question":"A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 6 km in stationary water","options":["40 min","1hr","1hr 15 min","1hr 30 min"],"answer":"D","correct_option":"1hr 30 min","explanation":"rate down stream=(1\/10*60)km\/hr=6km\/hr\nrate up stream=2km\/hr\nspeed still water =1\/2(6+2)=4km\/hr\nrequired time =(6\/4)=1 1\/4=1hr 30 min\nAnswer(D)","dataset":"aqua_rat"}
{"question":"The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is","options":["33","35","28","220"],"answer":"B","correct_option":"35","explanation":"Explanation:\nExcluded number = (27 x 5) - (25 x 4) = 135 - 100 = 35.\nAnswer: B","dataset":"aqua_rat"}
{"question":"A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability J that the sum of the three numbers on the balls selected from the box will be odd?","options":["1\/4","3\/8","1\/2","5\/8"],"answer":"C","correct_option":"1\/2","explanation":"The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);\nP(OOO)=(1\/2)^3;\nP(EEO)=3*(1\/2)^2*1\/2=3\/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);\nSo finally J=1\/8+3\/8=1\/2.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"Find out the wrong term in the series 1, 2, 2, 4, 8, 12","options":["12","24","32","16"],"answer":"C","correct_option":"32","explanation":"Explanation:\nEach number with in the series is the product of the two numbers that proceed it.\nSo, if (2 * 2 = 4) , then (4 * 8= 32 ). 32 should replace 12.\nAnswer: C) 32","dataset":"aqua_rat"}
{"question":"Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between A and B, Sam and Nik proceed to their destinations of B and A respectively. Sam reaches B 60 minutes after the two meet and Nik reaches A 90 minutes after their meeting. How long did Sam take to cover the distance between A and B?","options":["60 minutes","120 minutes","200 minutes","225 minutes"],"answer":"B","correct_option":"120 minutes","explanation":"t-time taken for AB to meet\n(Vs+Vn)t=Vs*60+Vn*90;\nVs(t-60)=Vn(90-t)\nThis means 60<t<90\nso ans will be 60+t\nOnly B fits this eqn","dataset":"aqua_rat"}
{"question":"What is the single bone that forms the posterior skull and posterior base of the cranial cavity?","options":["maxilla","limbic bone","radiating bone","occipital bone"],"answer":"D","correct_option":"occipital bone","explanation":"Occipital Bone The occipital bone is the single bone that forms the posterior skull and posterior base of the cranial cavity (Figure 7.9; see also Figure 7.8). On its outside surface, at the posterior midline, is a small protrusion called the external occipital protuberance, which serves as an attachment site for a ligament of the posterior neck. Lateral to either side of this bump is a superior nuchal line (nuchal = \u201cnape\u201d or \u201cposterior neck\u201d). The nuchal lines represent the most superior point at which muscles of the neck attach to the skull, with only the scalp covering the skull above these lines. On the base of the skull, the occipital bone contains the large opening of the foramen magnum, which allows for passage of the spinal cord as it exits the skull. On either side of the foramen magnum is an oval-shaped occipital condyle. These condyles form joints with the first cervical vertebra and thus support the skull on top of the vertebral column.","dataset":"science"}
{"question":"A man can row downstream at 20 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?","options":["15,2","15, 4","15, 8","15, 5"],"answer":"D","correct_option":"15, 5","explanation":"Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.\nGiven x + y = 20 --- (1)\nand x - y = 10 --- (2)\nFrom (1) & (2) 2x = 30 => x = 15, y = 5.\nAnswer:D","dataset":"aqua_rat"}
{"question":"Two men A and B start from place X walking at 4 \u00bd kmph and 5 \u00be kmph respectively. How many km apart they are at the end of 3 \u00bd hours if they are walking in the same direction?","options":["5 km","10 4\/3 km","4 3\/8 km","18 km"],"answer":"C","correct_option":"4 3\/8 km","explanation":"Explanation:\nRS = 5 \u00be - 4 \u00bd = 1 \u00bc\nT = 3 \u00bd h.\nD = 5\/4 * 7\/2 = 35\/8 = 4 3\/8 km\nC)","dataset":"aqua_rat"}
{"question":"which one of these would ensure the least amount of risk to make contact with?","options":["an electric wire wrapped in water","an electric wire wrapped in metal","an electric wire wrapped in steel","an electric wire wrapped in thick cotton"],"answer":"D","correct_option":"an electric wire wrapped in thick cotton","explanation":"","dataset":"science"}
{"question":"The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?","options":["10 kmph.","15 kmph.","18 kmph.","11 kmph."],"answer":"B","correct_option":"15 kmph.","explanation":"Speed of the boat in still water = (60+90)\/2 = 75 kmph. Speed of the stream = (90-60)\/2\n= 15 kmph.\nAnswer:B","dataset":"aqua_rat"}
{"question":"If xy \u2260 0 and x^2y^2 \u2212 2xy = 8, which of the following could be y in terms of x?\nI. 4\/x\nII. -x\/2\nIII. 3\/x","options":["I only","II only","I and II","I and III"],"answer":"A","correct_option":"I only","explanation":"(x^2)(y^2) \u2013 2xy - 8 = 0\n(xy \u2013 4)(xy + 2) = 0\nxy \u2013 4 = 0 or xy + 2 = 0\nxy = 4 or xy = -2\nSince we need y in terms of x, we can isolate y in both of our equations.\ny = 4\/x or y = -2\/x\nAnswer: A","dataset":"aqua_rat"}
{"question":"What is a compound in which all of the atoms are connected to one another by covalent bonds?","options":["covalent bond element","covalent mixture","covalent network solid","compound metal"],"answer":"C","correct_option":"covalent network solid","explanation":"One type of molecular compound behaves quite differently than that described so far. A covalent network solid is a compound in which all of the atoms are connected to one another by covalent bonds. Diamond is composed entirely of carbon atoms, each bonded to four other carbon atoms in a tetrahedral geometry. Melting a covalent network solid is not accomplished by overcoming the relatively weak intermolecular forces. Rather, all of the covalent bonds must be broken, a process that requires extremely high temperatures. Diamond, in fact, does not melt at all. Instead, it vaporizes to a gas at temperatures above 3500\u00b0C.","dataset":"science"}
{"question":"If n is an integer, f(n) = f(n-1) - n and f(4)=14. What is the value of f(6)?","options":["3","0","1","2"],"answer":"A","correct_option":"3","explanation":"Since f(n)=f(n-1)-n then: f(6)=f(5)-6 and f(5)=f(4)-5.\nAs given that f(4)=14 then f(5)=14-5=9 --> substitute the value of f(5) back into the first equation: f(6)=f(5)-6=9-6=3.\nAnswer: A.\nQuestions on funtions to practice:","dataset":"aqua_rat"}
{"question":"What do cells make up of organisms?","options":["structure only","function only","structure and function","members of their own species"],"answer":"C","correct_option":"structure and function","explanation":"Cells are the basic units of the structure and function of  organisms.","dataset":"qasc"}
{"question":"If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)","options":["15x\/18","6x\/5","18x\/5","6\/100x"],"answer":"D","correct_option":"6\/100x","explanation":"If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)\nWe need to find an equation with x in the answer...\nconvert all measurements so they are alike (i.e. convert km to m, minutes to hours, etc)\nSpeed = x\/t\nx meters\/second\n(60) x meters\/hour\nSpeed = y\/t\ny KM\/hour\nSpeed = y(1000m)\/hour\ny(1000meters)\/hour = (60) x meters\/hour\ny(1000)\/1hour = x(60) \/ 1 hour\ny(1000) = x(60)\ny = 0.06x\nAnswer: D. 6\/100x","dataset":"aqua_rat"}
{"question":"A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 8:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?","options":["26","30","36","38"],"answer":"B","correct_option":"30","explanation":"at 6'o clock, there would be 6 strikes. First strike, then a short interval, the second strike, then a short interval and so on till the 6th strike. So there would be in all 5 intervals between 6 strikes. Similarly, between 8 strikes, there would be 7 intervals.\nAccording to the question, the time spent in the strike and the interval is same.\nAt 6'o clock, the 6 strikes and the 5 intervals together take 22 sec so each strike and each interval takes 2 secs.\nAt 8'o clock, the 8 strikes and 7 intervals will take 2*(8+7) = 30 secs\nB","dataset":"aqua_rat"}
{"question":"Which of the following ratios is greatest?","options":["7 : 15","15 : 23","17 : 25","21 : 29"],"answer":"D","correct_option":"21 : 29","explanation":"Sol.\n7\/15 = 0.466,\n15\/23 = 0.652,\n17\/25 = 0.68<,br\/> 21\/29 = 0.724,\nClearly, 0.724 is greatest and therefore, 21 : 29 is greatest.\nAnswer D","dataset":"aqua_rat"}
{"question":"Which of the following is closest in value to (9^13)-(9^2)?","options":["9^9","9^8","9^13","9^6"],"answer":"C","correct_option":"9^13","explanation":"9^13 is much larger number than 9^2 and as we need approximate value then it's pretty much negligible in this case, so: (9^13)-(9^2) = ~9^9.\nAnswer: C.\nSimilar questions to practice:\nHope it helps.","dataset":"aqua_rat"}
{"question":"The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?","options":["2:5","2:9","2:2","2:2"],"answer":"A","correct_option":"2:5","explanation":"The volume of the cone = (1\/3)\u03c0r2h\nOnly radius (r) and height (h) are varying.\nHence, (1\/3)\u03c0 may be ignored.\nV1\/V2 = r12h1\/r22h2 => 1\/10 = (1)2h1\/(2)2h2\n=> h1\/h2 = 2\/5\ni.e. h1 : h2 = 2:5\nAnswer: A","dataset":"aqua_rat"}
{"question":"If 15 and 20 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?\nI. 10\nII. 20\nIII. 40","options":["I only","II only","I and II only","II and III only"],"answer":"C","correct_option":"I and II only","explanation":"The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.\nLet x be the length of the third side.\n20-15 < x < 20+15\n5 < x < 35\nThe answer is C.","dataset":"aqua_rat"}
{"question":"Any place at which two bones are joined is called a what?","options":["expression","modification","articulation","constriction"],"answer":"C","correct_option":"articulation","explanation":"An articulation is any place at which two bones are joined. The humerus is the largest and longest bone of the upper limb and the only bone of the arm. It articulates with the scapula at the shoulder and with the forearm at the elbow. The forearm extends from the elbow to the wrist and consists of two bones: the ulna and the radius. The radius is located along the lateral (thumb) side of the forearm and articulates with the humerus at the elbow. The ulna is located on the medial aspect (pinky-finger side) of the forearm. It is longer than the radius. The ulna articulates with the humerus at the elbow. The radius and ulna also articulate with the carpal bones and with each other, which in vertebrates enables a variable degree of rotation of the carpus with respect to the long axis of the limb. The hand includes the eight bones of the carpus (wrist), the five bones of the metacarpus (palm), and the 14 bones of the phalanges (digits). Each digit consists of three phalanges, except for the thumb, when present, which has only two. The Pelvic Girdle The pelvic girdle attaches to the lower limbs of the axial skeleton. Because it is responsible for bearing the weight of the body and for locomotion, the pelvic girdle is securely attached to the axial skeleton by strong ligaments. It also has deep sockets with robust ligaments to securely attach the femur to the body. The pelvic girdle is further strengthened by two large hip bones. In adults, the hip bones, or coxal bones, are formed by the fusion of three pairs of bones: the ilium, ischium, and pubis. The pelvis joins together in the anterior of the body at a joint called the pubic symphysis and with the bones of the sacrum at the posterior of the body. The female pelvis is slightly different from the male pelvis. Over generations of evolution, females with a wider pubic angle and larger diameter pelvic canal reproduced more successfully. Therefore, their offspring also had pelvic anatomy that enabled successful childbirth (Figure 38.13).","dataset":"science"}
{"question":"At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years","options":["3%","4%","5%","6%"],"answer":"D","correct_option":"6%","explanation":"Explanation:\nLet Rate will be R%\n1200(1+R\/100)2=134832 \/100\n(1+R\/100)2=134832\/120000\n(1+R\/100)2=11236\/10000\n(1+R\/100)=106\/100\n=>R=6%\nOption D","dataset":"aqua_rat"}
{"question":"The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 47 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?","options":["55","56","57","58"],"answer":"D","correct_option":"58","explanation":"20x + 47 = 21(x \u2013 5)\nX=58\nANSWER:D","dataset":"aqua_rat"}
{"question":"From theinteger n, if n*n*n is odd, then what is true from below options?","options":["n is odd and n*n is even","n is odd","n*n is even","n is even"],"answer":"A","correct_option":"n is odd and n*n is even","explanation":"n is odd and n*n is even\nOption A","dataset":"aqua_rat"}
{"question":"A man is three (3) years older than his wife and four (4) times as old as his son. If the son attains an age of fifteen (15) years after three (3) years, what is the present age of the mother?","options":["60 years","51 years","48 years","45 years"],"answer":"D","correct_option":"45 years","explanation":"Let mother age be x\nFather age be x+3\nX+3=4\u00d712\nX=45\nANSWER:D","dataset":"aqua_rat"}
{"question":"If c = 9\/25, m = 15\/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?","options":["c, m, w","c, w, m","m, w, c","w, c, m"],"answer":"D","correct_option":"w, c, m","explanation":"Answer D - w, c, m\nc ~ 1\/3\nm ~ 1\/2\nand m+w+c = 1 hence w ~ 1\/6\nHence increasing order would be w -> c -> m\nAnswer D","dataset":"aqua_rat"}
{"question":"What refers to the development and nourishment of an embryo within the mother\u2019s body but not inside an egg?","options":["adolescence","vivipary","birth","ovulation"],"answer":"B","correct_option":"vivipary","explanation":"Vivipary refers to the development and nourishment of an embryo within the mother\u2019s body but not inside an egg. Birth may be followed by a period of parental care of the offspring. This reproductive strategy occurs in almost all mammals including humans.","dataset":"science"}
{"question":"The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 11000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is","options":["14","21","22","23"],"answer":"A","correct_option":"14","explanation":"Sol.\nLet the total number of workers be x. Then,\n8000x = (10000 \u00d7 7) + 6000 ( x \u2013 7)\n\u2039=\u203a 2000x = 28000\n\u2039=\u203a x = 14.\nAnswer A","dataset":"aqua_rat"}
{"question":"Express of the following as a fraction: 4%","options":["2\/25","1\/25","4\/25","7\/25"],"answer":"B","correct_option":"1\/25","explanation":"4% =4\/100 =1\/25.\nAnswer is B.","dataset":"aqua_rat"}
{"question":"What is the major selective advantage of myelination?","options":["space efficiency","potentiation","heat regulation","storage capacity"],"answer":"A","correct_option":"space efficiency","explanation":"","dataset":"science"}
{"question":"Dawson got a weekly raise of $160. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.","options":["150","160","170","180"],"answer":"B","correct_option":"160","explanation":"Let the 1st paycheck be x (integer).\nDawson got a weekly raise of $ 160.\nSo after completing the 1st week she will get $ (x+160).\nSimilarly after completing the 2nd week she will get $ (x + 160) + $ 160.\n= $ (x + 160 + 160)\n= $ (x + 320)\nSo in this way end of every week her salary will increase by (B)$ 160.","dataset":"aqua_rat"}
{"question":"Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 8% greater than any other employee, what is the lowest possible salary that any one employee earned?","options":["$40,000","$41,667","$42,000","$46,460.17"],"answer":"D","correct_option":"$46,460.17","explanation":"Employee 1 earned $x(say)\nEmployee 2 will not earn more than $1.08x\nTherfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 20 employees\n(1.08x*20)+x=1,050,000\nSolving for x=$46,460.17\nAnswer D","dataset":"aqua_rat"}
{"question":"The difference between a number and its two-fifth is 510. What is 20% of that number?","options":["58","170","95","100"],"answer":"B","correct_option":"170","explanation":"Let the number be x. Then,\nx - 2\/5 x = 510\nx = (510 * 5)\/3 = 850\n20% of 850 = 170.\nAnswer:B","dataset":"aqua_rat"}
{"question":"Marge has W candies, where W is an integer such that 20 < W< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?","options":["0","1","2","3"],"answer":"C","correct_option":"2","explanation":"If Marge divides the candies equally among 5 children, she will have 2 candies remaining.\nThis tells us that the candies are of 5x + 2 type and so 22, 27, 32, 37, 42, or 47\nIf she divides the candies among 6 children, she will have 1 candy remaining.\nthis tells us it is if 6x+1 type and so 25, 31, 37, 43, or 49\nONLY 37 is common, so candies are 37 in number..\nif 37 is divided in 7 kids, remainder W= 2\nC","dataset":"aqua_rat"}
{"question":"A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1\/5-inch increase in the length of the shoe. If the largest size of this shoe is 40% longer than the smallest size, how long, in inches, is the shoe in size 15?","options":["5.4","5.9","6.3","6.7"],"answer":"B","correct_option":"5.9","explanation":"Let x be the length of the size 8 shoe.\nThen 0.4x = 9\/5\nx = 4.5 inches\nThe size 15 shoe has a length of 4.5 + 7\/5 = 5.9 inches\nThe answer is B.","dataset":"aqua_rat"}
{"question":"Of 10 applicants for a job, 3 had at least 5 years of prior work experience, 4 had advanced degrees, and 2 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?","options":["3","9","5","4"],"answer":"C","correct_option":"5","explanation":"Had advanced degrees and 5 years work experience: 2\nOnly had 5 years work experience: 3-2 = 1\nOnly had advanced degrees: 4-2 = 2\n10-2-1-2=5\nAnswer: C","dataset":"aqua_rat"}
{"question":"In eukaryotes, mrna may be modified before leaving what?","options":["mitochondria","epidermis","ribosome","nucleus"],"answer":"D","correct_option":"nucleus","explanation":"During transcription, a copy of mRNA is made that is complementary to a strand of DNA. In eukaryotes, mRNA may be modified before it leaves the nucleus.","dataset":"science"}
{"question":"The sum of all consecutive odd integers from \u221227 to 37, inclusive, is","options":["110","135","150","165"],"answer":"D","correct_option":"165","explanation":"The sum of the odd numbers from -27 to +27 is 0.\nLet's add the remaining numbers.\n29+31+33+35+37 = 5(33) = 165\nThe answer is D.","dataset":"aqua_rat"}
{"question":"Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 20 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?","options":["2 hours","4 hours","1 hour 30 min","5 hours"],"answer":"C","correct_option":"1 hour 30 min","explanation":"in three minute 1\/20+1\/30-1\/20=2\/60 = 1\/30 part is filled\n3 min--------1\/30 parts\nx min--------- 1 part(full)\nx=90 min =1 hour 30 min\nANSWER:C","dataset":"aqua_rat"}
{"question":"The difference between the simple and the compound interest compounded every six months at the rate of 10% p.a. at the end of two years is 124.05. What is the sum?","options":["10,000","6,000","12,000","8,000"],"answer":"D","correct_option":"8,000","explanation":"Let the sum be x.\nThen, [x(1+5\/100)4\u2212x]\u2212[x\u00d710\u00d72\/100]=124.05\nSolving the above eqns, we get x = 8,000.\nAnswer D","dataset":"aqua_rat"}
{"question":"[1\/4(2\/5) + 1\/2(4\/9)] = ?","options":["7\/11","5\/11","2\/11","1\/11"],"answer":"A","correct_option":"7\/11","explanation":"Explanation:\n[1\/4(2\/5) + 1\/2(4\/9)] = 1\/(22\/5) + 1\/(22\/9)\n= 5\/22 + 9\/22 = 14\/22 = 7\/11\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"What has a characteristic life cycle that includes alternation of generations?","options":["burrs","tulips","Oak","Trees"],"answer":"B","correct_option":"tulips","explanation":"tulips have a characteristic life cycle that includes alternation of generations.","dataset":"qasc"}
{"question":"If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?","options":["2:1","2:7","2:2","2:6"],"answer":"A","correct_option":"2:1","explanation":"Let 1 man's 1 day work = x and 1 boy's 1 day work = y.\nThen, 12x + 16y = 1\/5 and 13x + 24y = 1\/4\nSolving these two equations, we get:\nx = 1\/100 and y = 1\/200\nRequired ratio = x:y = 1\/100 : 1\/200 = 2:1.\nAnswer:A","dataset":"aqua_rat"}
{"question":"The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 88 and Rs. 80 respectively. The sum is:","options":["880","1450","1600","1800"],"answer":"A","correct_option":"880","explanation":"Sol.\nSum = S.I. * T.D. \/ (S.I)-(T.D.) = 88 * 80 \/ (88 - 80) = Rs.880.\nAnswer A","dataset":"aqua_rat"}
{"question":"A group of four girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three boys will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?","options":["7! \u2013 2!3!2!","7! \u2013 4!3!","7 \u00d7 2!3!2!","7! \u2013 5!3!"],"answer":"D","correct_option":"7! \u2013 5!3!","explanation":"There are 3 boys and 4 girls , we want to calculate the seating arrangements if three boys do not sit together, like MMM.\nLet's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 7 persons without restriction. Thus we'll get the # of arrangements asked in the question.\n1. Total # of arrangements of 7 is 7!.\n2. # of arrangements when 3 boys are seated together, like MMM;\nAmong themselves these 3 boys can sit in 3! # of ways,\nNow consider these 3 boys as one unit like this {MMM}. We'll have total of 5 units: {MMM}{W}{W}{W}{W}. The # of arrangements of these 5 units is 5!.\nHence total # of arrangements when 3 men sit together is: 3!5!.\n# of arrangements when 3 boys do not sit together would be: 7!-3!5!.\nAnswer: D).","dataset":"aqua_rat"}
{"question":"Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum E of their ages will be 51, how old is Stephanie ?","options":["6","10","14","20"],"answer":"B","correct_option":"10","explanation":"1) take C (14y.o.), so mean that S=14, J=28, their sum itself is 42+10 years from now is 52, it is over the 51,\nso eliminate C,D,E\n2) take B (10y.o.),E= meaning S=10,J=20, so 20+10+10=40 and for K=10-4\/3=2+9=11, finally 40+11=51. It is correct\nB","dataset":"aqua_rat"}
{"question":"There are, in a certain league, 20 teams, and each team face another team for a total of 4 times. How many games are played in the season?","options":["450","760","110","180"],"answer":"B","correct_option":"760","explanation":"By using the formula, t[n(n - 1) \/ 2], where t = no. of games between two teams and n = total no. of teams, we get: 760\nOption B.","dataset":"aqua_rat"}
{"question":"What was the last supercontinent on earth?","options":["pangaea","rodinia","eurasia","laurasia"],"answer":"A","correct_option":"pangaea","explanation":"There are times in Earth history when all of the continents come together to form a supercontinent . Supercontinents come together and then break apart. Pangaea was the last supercontinent on Earth, but it was not the first. The supercontinent before Pangaea is called Rodinia. Rodinia contained about 75% of the continental landmass that is present today. The supercontinent came together about 1.1 billion years ago. Rodinia was not the first supercontinent either. Scientists think that three supercontinents came before Rodina, making five so far in Earth history.","dataset":"science"}
{"question":"A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?","options":["11:10:15","20:17:23","19:19:18","5:4:9"],"answer":"C","correct_option":"19:19:18","explanation":"Explanation:\nA:B:CA:B:C =(25 lakhs\u00c3\u2014\u00c3\u20141)+(35 lakhs\u00c3\u2014\u00c3\u20142) :(35 lakhs\u00c3\u2014\u00c3\u20142+25 lakhs\u00c3\u2014\u00c3\u20141) :(30 lakhs\u00c3\u2014\u00c3\u20143)\n= 95 lakhs : 95 lakhs : 90 lakhs =19:19:18=19:19:18.\nANSWER IS C","dataset":"aqua_rat"}
{"question":"A sum of Rs.63000 is divided into three parts such that the simple interests accrued on them for three, six and nine years respectively may be equal. Find the amount deposited for 3 years.","options":["6000","2000","6500","4500"],"answer":"A","correct_option":"6000","explanation":"Let the amounts be x, y, z in ascending order of value. As the interest rate and interest accrued are same for 3 years 6 years and 9 years i.e. 3x = 6y = 9z = k.\nL.C.M. of 3,6,9 = 18 So x:y:z: = 6000 : 3000 :2000\nThe amount deposited for 3 years = 6000\nANSWER:A","dataset":"aqua_rat"}
{"question":"If in a race of 100m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:","options":["20m","16m","11m","10m"],"answer":"A","correct_option":"20m","explanation":"Explanation:\nThe difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.\nThe distance covered by B in 5 seconds = (100 * 5) \/ 25 = 20m\nHence, A beats B by 20m.\nANSWER A","dataset":"aqua_rat"}
{"question":"The ratio of boarders to day students at a school was originally 2 to 5. However, after a number of new boarders join the initial 60 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?","options":["12","15","20","24"],"answer":"B","correct_option":"15","explanation":"Let x be the number of new boarders.\nThe ratio changed from 2:5 = 4:10 up to 1:2 = 5:10.\n60 \/ (60+x) = 4\/5\nx = 15\nThe answer is B.","dataset":"aqua_rat"}
{"question":"The third proportional to 1 and 2 is?","options":["2","1","4","8"],"answer":"C","correct_option":"4","explanation":"(2*2)\/1 = 4\nAnswer: C","dataset":"aqua_rat"}
{"question":"What can be removed to preserve food?","options":["water","nutrients","toxins","salt"],"answer":"A","correct_option":"water","explanation":"Removing water preserves food. ","dataset":"qasc"}
{"question":"A car started running at a speed of 30 km\/hr and the speed of the car was increased by 2 km\/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.","options":["227","390","287","2771"],"answer":"B","correct_option":"390","explanation":"The total distance covered by the car in the first 10 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = sum of 10 terms in AP whose first term is 30 and last term is 48 = 10\/2 [30 + 48] = 390 km.\nAnswer: B","dataset":"aqua_rat"}
{"question":"The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)","options":["20043.94","20043.948","20043.93","20043.92"],"answer":"A","correct_option":"20043.94","explanation":"Let the rate of interest be R% p.a.\n(49500)(3)(R)\/100 = 17820\n495R = 5940\nR = 12\nCI on Rs.49500 at 12% p.a. for three years\n= 49500{[1 + 12\/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94\nwhen rounded off to two decimal places.\nAnswer:A","dataset":"aqua_rat"}
{"question":"A department of eight people - four men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?","options":["36","48","60","72"],"answer":"B","correct_option":"48","explanation":"They can make a team of 3 men and 2 women.\nThe number of ways to do this is 4C3*4C2=4*6 = 24\nThey can make a team of 2 men and 3 women.\nThe number of ways to do this is 4C2*4C3=6*4 = 24\nThe total number of distinct groups is 48.\nThe answer is B.","dataset":"aqua_rat"}
{"question":"The vitamins and minerals contained in all of the food we consume are important for all of our organ systems. however, there are certain nutrients that affect this?","options":["bone health","mental health","chain health","abnormal health"],"answer":"A","correct_option":"bone health","explanation":"Nutrition and Bone Tissue The vitamins and minerals contained in all of the food we consume are important for all of our organ systems. However, there are certain nutrients that affect bone health.","dataset":"science"}
{"question":"The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red","options":["4%","4.65%","6.125%","7.24%"],"answer":"C","correct_option":"6.125%","explanation":"Total Car.29.10 i.e., Honda +non Honda = 29400 Given: Whim. tractor .150W\nNow,5346 of 2..00 = Honda +Red Non-Honda 29400 .:4 =15582 Thus...El Mall... 1.0 Now Honda 15582 flow, Non-. Honda =15582 - 15.582-14700=8B2 96 non-Honda =1=1.100 = 6.125%\nC","dataset":"aqua_rat"}
{"question":"Electricity causes less pollution than what?","options":["sound","car propellant","water","sunlight"],"answer":"B","correct_option":"car propellant","explanation":"","dataset":"science"}
{"question":"Ships are used to do what on oceans?","options":["dump air in","take water from","stability","move people across"],"answer":"D","correct_option":"move people across","explanation":"Ships are used to move people across oceans","dataset":"qasc"}
{"question":"Find the principle on a certain sum of money at 5% per annum for 3 1\/5 years if the amount being Rs.1160?","options":["Rs.1000","Rs.1100","Rs.1010","Rs.10000"],"answer":"A","correct_option":"Rs.1000","explanation":"Explanation:\n1160 = P [1 + (5*16\/5)\/100]\nP= 1000\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"Two pipes A and B can separately fill a cistern in 60 minutes and 80 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. In how much time, the third pipe alone can empty the cistern?","options":["90 min","100 min","240 min","120 min"],"answer":"C","correct_option":"240 min","explanation":"1\/40-(1\/60+1\/80)=-1\/240\nthird pipe can empty in 240 minutes\nANSWER:C","dataset":"aqua_rat"}
{"question":"There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of $ 12,000 after 3 years at the same rate?","options":["2160","3120","3972","6240"],"answer":"C","correct_option":"3972","explanation":"Let P = $ 100. Then, S.I. $. 60 and T = 6 years.\nR = 100 x 60 = 10% p.a.\n100 x 6\nNow, P = $ 12000. T = 3 years and R = 10% p.a.\nCI = 3972\nANSWER C","dataset":"aqua_rat"}
{"question":"Together, Andrea and Brian weigh p pounds; Brian weighs 8 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p\/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?","options":["p\/2 - 10","3p\/4 - 4","3p\/2 - 5","5p\/4 - 10"],"answer":"B","correct_option":"3p\/4 - 4","explanation":"Together, Andrea and Brian weigh p pounds --> A + B = p.\nBrian weighs 10 pounds more than Andrea --> B = A + 8 --> A + (A + 8) = p --> A = (p - 8)\/2 = p\/2 - 4.\nBrian and Andrea's dog, Cubby, weighs p\/4 pounds more than Andrea --> C = A + p\/4 = (p\/2 - 4) + p\/4 = 3p\/4 -4.\nAnswer: B.","dataset":"aqua_rat"}
{"question":"The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?","options":["2387","500","286","298"],"answer":"B","correct_option":"500","explanation":"Let the sum be Rs. P. Then,\n[P(1 + 10\/100)2 - p] = 525\nP[(11\/10)2 - 1] = 525\nP = (525 * 100) \/ 21 = 2500\nSum = Rs. 2500\nSo, S.I. = (2500 * 5 * 4)\/100 = Rs. 500\nAnswer: B","dataset":"aqua_rat"}
{"question":"Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy\u2019s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 33 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?\nI think is a 700 level problem but I tag it as 600\/700, let me know. Either way I hope in an explanationThanks","options":["1\/3","3","27\/8","9"],"answer":"C","correct_option":"27\/8","explanation":"In 15 mins, Timothy travels=9\/4 miles.\nNow, let his mother takes x hours to reach him, traveling at 31mph.\nSo, 33x=9x+9\/4\nx=3\/32 hrs.\nThus, the distance traveled by his mother to reach= 36*3\/32=27\/8 miles. Ans C","dataset":"aqua_rat"}
{"question":"In six successive games, a baseball team scored 3 runs once, 6 runs twice, and 7 runs three times.\nWhat was the average (arithmetic mean) number of runs the team scored per game over the six-game period?","options":["8","7","6","5"],"answer":"C","correct_option":"6","explanation":"3 runs once (one game)\n6 runs twice (two game)\n7 runs three times (three games)\nSO we have (3*1 + 6*2 + 7*3)\/6 = 36\/6 = 6.\nANS: C.","dataset":"aqua_rat"}
{"question":"Lake A has a duck population of 30 females and 30 males. Lake B\u2019s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?","options":["144","105","78","72"],"answer":"D","correct_option":"72","explanation":"Lake A has a duck population of 30 females and 36 males --> the ratio is F:M = 30:30 = 1:1.\nLake B\u2019s duck population consists of the same ratio of females to males --> F:M = 1:1.\nD","dataset":"aqua_rat"}
{"question":"what dies if it becomes too cold?","options":["plants","starfish","trout","planets"],"answer":"A","correct_option":"plants","explanation":"if plants become too cold they will die","dataset":"qasc"}
{"question":"Find the value of 72517 x 9999 = m?","options":["456578972","436567874","653658791","725097483"],"answer":"D","correct_option":"725097483","explanation":"72517 x 9999 = 72517 x (10000 - 1)\n= 72517 x 10000 - 72517 x 1\n= 725170000 - 72517\n= 725097483\nD","dataset":"aqua_rat"}
{"question":"The name of a spinal cord region corresponds to the level at which spinal nerves pass through the what?","options":["synovial fluid","notochord","lumbar foramina","intervertebral foramina"],"answer":"D","correct_option":"intervertebral foramina","explanation":"The Spinal Cord The description of the CNS is concentrated on the structures of the brain, but the spinal cord is another major organ of the system. Whereas the brain develops out of expansions of the neural tube into primary and then secondary vesicles, the spinal cord maintains the tube structure and is only specialized into certain regions. As the spinal cord continues to develop in the newborn, anatomical features mark its surface. The anterior midline is marked by the anterior median fissure, and the posterior midline is marked by the posterior median sulcus. Axons enter the posterior side through the dorsal (posterior) nerve root, which marks the posterolateral sulcus on either side. The axons emerging from the anterior side do so through the ventral (anterior) nerve root. Note that it is common to see the terms dorsal (dorsal = \u201cback\u201d) and ventral (ventral = \u201cbelly\u201d) used interchangeably with posterior and anterior, particularly in reference to nerves and the structures of the spinal cord. You should learn to be comfortable with both. On the whole, the posterior regions are responsible for sensory functions and the anterior regions are associated with motor functions. This comes from the initial development of the spinal cord, which is divided into the basal plate and the alar plate. The basal plate is closest to the ventral midline of the neural tube, which will become the anterior face of the spinal cord and gives rise to motor neurons. The alar plate is on the dorsal side of the neural tube and gives rise to neurons that will receive sensory input from the periphery. The length of the spinal cord is divided into regions that correspond to the regions of the vertebral column. The name of a spinal cord region corresponds to the level at which spinal nerves pass through the intervertebral foramina. Immediately adjacent to the brain stem is the cervical region, followed by the thoracic, then the lumbar, and finally the sacral region. The spinal cord is not the full length of the vertebral column because the spinal cord does not grow significantly longer after the first or second year, but the skeleton continues to grow. The nerves that emerge from the spinal cord pass through the intervertebral formina at the respective levels. As the vertebral column grows, these nerves grow with it and result in a long bundle of nerves that resembles a horse\u2019s tail and is named the cauda equina. The sacral spinal cord is at the level of the upper lumbar vertebral bones. The spinal nerves extend from their various levels to the proper level of the vertebral column.","dataset":"science"}
{"question":"Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?","options":["8","14","43","44"],"answer":"B","correct_option":"14","explanation":"Explanation: This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2.\nAnswer: Option B","dataset":"aqua_rat"}
{"question":"Find the number of ways of arranging the letters of the word \"MATERIAL\" such that all the vowels in the word are to come together?","options":["1840 ways","1440 ways","1490 ways","1447 ways"],"answer":"B","correct_option":"1440 ways","explanation":"In the word, \"MATERIAL\" there are three vowels A, I, E.\nIf all the vowels are together, the arrangement is MTRL'AAEI'.\nConsider AAEI as one unit. The arrangement is as follows.\nM T R L A A E I\nThe above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!\/2! ways.\nNumber of required ways of arranging the above letters = 5! * 4!\/2!\n= (120 * 24)\/2 = 1440 ways.\nAnswer: B","dataset":"aqua_rat"}
{"question":"What is the study of how and why plants and animals live where they do?","options":["heredity","geomorphology","biogeography","lithography"],"answer":"C","correct_option":"biogeography","explanation":"Biogeography is the study of how and why plants and animals live where they do. It provides more evidence for evolution. Let\u2019s consider the camel family as an example.","dataset":"science"}
{"question":"Burning what substances increases carbon in the atmosphere?","options":["CO2","oil","tar","gas"],"answer":"B","correct_option":"oil","explanation":"burning oil increases carbon in the atmosphere","dataset":"qasc"}
{"question":"Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is","options":["4 : 5","5 : 4","3 : 2","4 :7"],"answer":"A","correct_option":"4 : 5","explanation":"Let the third number be x.\nThen, first number = 120% of x = 120x = 6x\n100 5\nSecond number = 150% of x = 150x = 3x\n100 2\nRatio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5.\n5 2\nA","dataset":"aqua_rat"}
{"question":"Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1\/3 as much as Veena paid and Veena paid 1\/2 as much as Lasya paid. What fraction of the bill did Veena pay ?","options":["3\/19","3\/12","3\/11","3\/10"],"answer":"D","correct_option":"3\/10","explanation":"Let Veena paid x,\nso Akshitha paid x\/3 , and Lasya paid 2x,\nSo total bill paid is given by\nx+(x\/3) +2x = 1, we get\ni.e. x = 3\/10\nAnswer: D","dataset":"aqua_rat"}
{"question":"During what time period did poor air quality become a problem?","options":["second world war","industrial revolution","coal industry boom","Chernobyl disaster"],"answer":"B","correct_option":"industrial revolution","explanation":"Poor air quality started to become a serious problem after the Industrial Revolution. The machines in factories burned coal. This released a lot of pollutants into the air. After 1900, motor vehicles became common. Cars and trucks burn gasoline, which adds greatly to air pollution.","dataset":"science"}
{"question":"A fruit wholesale dealer has been paid $329,864 in his savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if if he wants to be sure that all 9 of his salesmen have paid evenly?","options":["$1","$2","$3","$4"],"answer":"D","correct_option":"$4","explanation":"To find the least amount the fruit wholesale dealer should add to his account to ensure all 9 of his salemen have paid evenly,\nhe needs to make the total divisible by 9\nSimply add the individual digits of the total = 3+2+9+8+6+4 = 32\nIf you add 4 , the number is divisible by 9 (32+ 4)\nCorrect Option : D","dataset":"aqua_rat"}
{"question":"A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:","options":["100\/17% loss","100\/17% gain","20\/3% loss","None of these"],"answer":"B","correct_option":"100\/17% gain","explanation":"Explanation :\nLet the cost price of 1st transistor be Rs. x and the cost price of 2nd transistor be Rs. y\nS.P. of 1st transistor at 20% profit = Rs. 840\n=> (x + 20% of x) = 840\n=> x*(120\/100) = 840\n=> x = 700\nS.P. of 2nd transistor at 4% loss = Rs. 960\n=> (y - 4% of y) = 960\n=> y*(96\/100) = 960\n=> y = 1000\nSo, total C.P. = (x + y) = Rs. 1700\nTotal S.P. = 840 + 960 = 1800\nProfit = (S.P. - C.P.) = (1800 - 1700) = Rs. 100\n% Profit = (100\/1700\u2217100)% = 100\/17 %\nAnswer : B","dataset":"aqua_rat"}
{"question":"Dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?","options":["30%","28%","32%","33%"],"answer":"B","correct_option":"28%","explanation":"Say Dhoni's earning last month was $100.\nDhoni spent 40 percent of his earning last month on rent --> $40 on rent;\n20 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.8=$32 on the dishwasher.\nLeft over amount 100 - (40 + 32) = $28\nAnswer: B","dataset":"aqua_rat"}
{"question":"A furniture manufacturer has two machines, but only one can be used at a time. Machine K is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine K can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?","options":["14","13","11","9"],"answer":"D","correct_option":"9","explanation":"'Approximately' could actually make such a question ambiguous. Not this one though but a similar question with the answer as 9.2 days. You round off 8.89 days as 9 days and everything is fine in this question. What do you do when you get 9.2 days? Do you need 9 days or 10 days? Can you round off 9.2 as 9 even though that is what you do with numbers? No, because in 9 days your work is not over. You do need 10 days.\nTo finish a work say Machine K you need to work full 9 days and a part of the 10th day. If I ask you how many days do you need to complete the work, will you say 9 or 10? You will say 10 even if you don't use the 10th day fully=D","dataset":"aqua_rat"}
{"question":"In basket A there are 2 apples and 3 oranges, in basket B there are 2 apples and 5 oranges. A basket is chosen at random, what is the probability of picking up an orange in basket B?","options":["2\/5.","5\/12.","3\/10.","5\/14."],"answer":"D","correct_option":"5\/14.","explanation":"Probability of picking up one basket out of two= 1\/2\nprobability of picking 1 orange from basket B= 5\/7\nHence the desired probability= 1\/2*5\/7= 5\/14\nD is the answer","dataset":"aqua_rat"}
{"question":"If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a \u2013 d?","options":["2","8","10","11"],"answer":"B","correct_option":"8","explanation":"1155 = 3 * 5 * 7 * 11\na = 11\nd = 3\na - d = 8\nAnswer is B","dataset":"aqua_rat"}
{"question":"A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest freq is twice the lowest. For each of the 12 lower freq , the ratio of a frequency to the next higher freq is a fixed constant. If the lowest freq is 440 cycles per second, then the freq of the 7th note in the scale is how many cycles\/second?","options":["440 * sqrt 2","440 *2","400 * sqrt 2","320 * sqrt 3"],"answer":"A","correct_option":"440 * sqrt 2","explanation":"let the constant be k\nF1 = 440\nF2 = 440k\nF3 = 440 k * k = 440 * k^2\nF13= 440 * k^12\nwe know F13 = 2 *F1 = 2 * 440 = 880\n880\/440 = k^12\nk = twelfth root of 2\nfor F7...\nF7 = 440 * k^6 ( as we wrote for F2 and F3)\nF7 = 440 * (twelfth root of 2) ^ 6\nF7 = 440 * sqrt (2)\nAnswer A","dataset":"aqua_rat"}
{"question":"A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A","options":["300","450","750","800"],"answer":"A","correct_option":"300","explanation":"C's 1 day's work = 1\/3-(1\/6+1\/8)=24\nA : B : C = Ratio of their 1 day's work = 1\/6:1\/8:1\/24= 4 : 3 : 1.\nA\u2019s share = Rs. (600 *4\/8) = Rs.300, B's share = Rs. (600 *3\/8) = Rs. 225.\nC's share = Rs. [600 - (300 + 225\u00bb) = Rs. 75.\nAnswer is A","dataset":"aqua_rat"}
{"question":"A rock is boring, so a person wants to make it look different. A person could have it weathered by","options":["putting it in a bag","putting it in a yard","putting it in a dish","putting it in a tumbler"],"answer":"D","correct_option":"putting it in a tumbler","explanation":"","dataset":"science"}
{"question":"An example of irreversible denaturation of what substance occurs to the liquid albumin when an egg is fried?","options":["acids","bacterial","protein","liquid"],"answer":"C","correct_option":"protein","explanation":"Denaturation and Protein Folding Each protein has its own unique sequence and shape that are held together by chemical interactions. If the protein is subject to changes in temperature, pH, or exposure to chemicals, the protein structure may change, losing its shape without losing its primary sequence in what is known as denaturation. Denaturation is often reversible because the primary structure of the polypeptide is conserved in the process if the denaturing agent is removed, allowing the protein to resume its function. Sometimes denaturation is irreversible, leading to loss of function. One example of irreversible protein denaturation is when an egg is fried. The albumin protein in the liquid egg white is denatured when placed in a hot pan. Not all proteins are denatured at high temperatures; for instance, bacteria that survive in hot springs have proteins that function at temperatures close to boiling. The stomach is also very acidic, has a low pH, and denatures proteins as part of the digestion process; however, the digestive enzymes of the stomach retain their activity under these conditions. Protein folding is critical to its function. It was originally thought that the proteins themselves were responsible for the folding process. Only recently was it found that often they receive assistance in the folding process from protein helpers known as chaperones (or chaperonins) that associate with the target protein during the folding process. They act by preventing aggregation of polypeptides that make up the complete protein structure, and they disassociate from the protein once the target protein is folded.","dataset":"science"}
{"question":". Star question:\nIf f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=?","options":["125","977","289","1077"],"answer":"A","correct_option":"125","explanation":"Let x =1 and y = 1\nf(1 + 1) = f(1) + f(1) + 7 x 1 x 1 + 4 \u21d2\u21d2 f(2) = 19\nLet x =2 and y = 2\nf(2 + 2) = 19 + 19 + 7 x 2 x 2 + 4 \u21d2\u21d2 f(4) = 70\nLet x = 1 and y = 4\nf( 1 + 4) = 4 + 70 + 28 + 4 = 106\nf(2) + f(5) = 125\nAnswer:A","dataset":"aqua_rat"}
{"question":"Simplify: 8888 + 888 + 88 + 8","options":["9872","9782","9827","9287"],"answer":"A","correct_option":"9872","explanation":"8888\n888\n88\n8\n-------\n9872\nAnswer is A.","dataset":"aqua_rat"}
{"question":"When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?","options":["74000","75000","76000","77000"],"answer":"D","correct_option":"77000","explanation":"90 : 63000 = 110 : x\nx = (63000 x 110)\/90 = 77,000.\nHence, S.P. = Rs. 77,000.\nAnswer: Option D","dataset":"aqua_rat"}
{"question":"A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0017)?","options":["14.83","17.83","18.83","16.83"],"answer":"D","correct_option":"16.83","explanation":"You get 10^2 (100-1) (.0017)\nwe know 17\/10000 = .0017\n10^2 (99) * (17\/10000)\n10^2 = 100 and 100^2 = 10000\nCancel out the 100 with the 10^2\nLeft with 99(17\/100).\n0.99*17 = 16.83\nAnswer : D","dataset":"aqua_rat"}
{"question":"A football coach must choose 3 freshers from a team of 12players. How many different ways can the coach choose the freshers?","options":["220","650","729","800"],"answer":"A","correct_option":"220","explanation":"Choose 3 starters from a team of 12 players. Order is not important.\n\\inline {\\color{Black} 12C_{3}}= 220\nA","dataset":"aqua_rat"}
{"question":"A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?","options":["227m","228m","350m","167m"],"answer":"C","correct_option":"350m","explanation":"Speed = [300 \/ 18] m\/sec = 50\/3 m\/sec.\nLet the length of the platform be x meters.\nThen, x + 300 \/ 39 = 50\/3\n3(x + 300) = 1950 \u00e8 x = 350m.\nAnswer: C","dataset":"aqua_rat"}
{"question":"If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?","options":["30","33 1\/3","35","25"],"answer":"B","correct_option":"33 1\/3","explanation":"100---150\n150----50\n100-----? ==>33 1\/3\nANSWER B","dataset":"aqua_rat"}
{"question":"Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce,making a profit of 20 percent. What was the ratio of the mixture?","options":["1:10","1:5","2:7","3:8"],"answer":"B","correct_option":"1:5","explanation":"Let x ounce of ist be mixed with y ounce of 2nd\nthus total CP = 5x+6y\nSly SP = 7x+7y\nNow profit % = 20, its very easy to solve profit n loss problems using Fraction rule.\nSP = CP * 120\/100 ( since profit so SP >CP n hence multiplied by 120\/100 which is > 1\nthus 7x+ 7y= (5x+6y) * 120\/100\nor, x:y = 1:5\nANSWER:B","dataset":"aqua_rat"}
{"question":"Parasites usually harm their hosts (or they wouldn't be parasites), but what do they usually stop short of doing?","options":["killing their host","benefiting their hosts","mutating their hosts","reproducing with hosts"],"answer":"A","correct_option":"killing their host","explanation":"Some parasites kill their host, but most do not. It\u2019s easy to see why. If a parasite kills its host, the parasite may also die. Instead, parasites usually cause relatively minor damage to their host.","dataset":"science"}
{"question":"Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 6 km\/hr and 12 km\/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?","options":["28 sec","37 sec","17 sec","60 sec"],"answer":"D","correct_option":"60 sec","explanation":"Time taken to meet for the first time anywhere on the track\n= length of the track \/ relative speed\n= 200 \/ (6+ 12)5\/18 = 300* 18 \/ 18 * 5 = 60 seconds.\nAnswer : D","dataset":"aqua_rat"}
{"question":"A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.00. If the company\u2019s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?","options":["$960","$1,350","$1,725","$2,100"],"answer":"D","correct_option":"$2,100","explanation":"Total Volume is 288000\nGiven LBH = 8*10*12.\nthe number of hats inside it = 288000\/10 * 8 * 12 = 300.\nprice of each hat is 7.5 $ then total value is 300 * 7.0 = 2100.\nIMO option D is correct answer..","dataset":"aqua_rat"}
{"question":"0,1,2.9,5.61,9.05,?","options":["11.15","12.15","13.15","14.15"],"answer":"C","correct_option":"13.15","explanation":"The series is 0, 1, 2.9, 5.61, 9.05, ...\nFisrt oder differences are 1, 1.9, 2.71, 3.44, ...\nSecond order differences are 0.9, 0.81, 0.73, ...\nNote that the second order differences are powers of 0.9 (0.9, 0.81, 0.729, ...), rounded off to two decimal digits. So next term in second order difference is 0.9^4 = 0.6561 = 0.66. Then, the next term in first order difference is 3.44+0.66 = 4.1. So, the term in the series is 9.05+4.1 = 13.15\nANSWER:C","dataset":"aqua_rat"}
{"question":"852.68 \u00e2\u02c6\u2019 4.5 + 288.98 = ? \u00e2\u02c6\u2019 2132.54","options":["6078.58","5225.9","6258.58","6088.58"],"answer":"C","correct_option":"6258.58","explanation":"Option 'C'","dataset":"aqua_rat"}
{"question":"Earth rotates on its axis once each day and revolves around the sun how often?","options":["once each year","ever 3 years","once each month","every other year"],"answer":"A","correct_option":"once each year","explanation":"Earth rotates on its axis once each day and revolves around the Sun once every year.","dataset":"science"}
{"question":"In a card game, a combination of two queen beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?","options":["13\/221","1\/221","2\/52 D","3\/51"],"answer":"B","correct_option":"1\/221","explanation":"he best possible combination is the case when he wins in his first two draws\nThere are 52 cards in a deck of cards with 4 queens in it.\nProbability of first card to be queen = 4\/52\nProbability of Second card to be queen = 3\/51\nProbability of Best possible case = (4\/52)*(3\/51) = 1\/221\nB","dataset":"aqua_rat"}
{"question":"A single discount equivalent to the discount series of 20%, 20% and 5% is?","options":["31.9","39.2","31.6","31.5"],"answer":"B","correct_option":"39.2","explanation":"100*(80\/100)*(20\/100)*(95\/100) = 60.8\n100 - 60.8 = 39.2\nAnswer:B","dataset":"aqua_rat"}
{"question":"What is the name of an element with a different number of neutrons?","options":["mineral","isotope","reaction","solution"],"answer":"B","correct_option":"isotope","explanation":"All atoms of the same element have the same number of protons, but some may have different numbers of neutrons. For example, all carbon atoms have six protons, and most have six neutrons as well. But some carbon atoms have seven or eight neutrons instead of the usual six. Atoms of the same element that differ in their numbers of neutrons are called isotopes . Many isotopes occur naturally. Usually one or two isotopes of an element are the most stable and common. Different isotopes of an element generally have the same physical and chemical properties. That\u2019s because they have the same numbers of protons and electrons. For a video explanation of isotopes, go to this URL:.","dataset":"science"}
{"question":"Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 25. What is the value of x?","options":["25","50","75","100"],"answer":"D","correct_option":"100","explanation":"y = 0.5*0.5*x = x\/4\ny%*x = 25\n(y\/100)*x = 25\n(x\/400)*x = 25\nx^2 = 25*400\nx = 100\nThe answer is D.","dataset":"aqua_rat"}
{"question":"There are 7 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?","options":["15345","15120","15609","15680"],"answer":"B","correct_option":"15120","explanation":"6 subjects can be arranged in 7 periods in 7P6 ways.\nRemaining 1 period can be arranged in 6P1 ways.\nTwo subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.\nTotal number of arrangements = (7P6 x 6P1)\/2! = 15120\nANSWER:B","dataset":"aqua_rat"}
{"question":"Reduce\n368\/575 to the lowest terms.","options":["30\/25","28\/29","27\/29","16\/25"],"answer":"D","correct_option":"16\/25","explanation":"Explanation:\nWe can do it easily by in two steps\nStep1: We get the HCF of 368 and 575 which is 23\nStep2: Divide both by 23, we will get the answer 16\/25\nOption D","dataset":"aqua_rat"}
{"question":"If I want to avoid too much ultraviolet rays I can","options":["wear a bikini","wear shorts","wear nothing","wear thick socks"],"answer":"D","correct_option":"wear thick socks","explanation":"","dataset":"science"}
{"question":"Mary\u2019s annual income is $15,000 and John\u2019s annual income is $18,000. By how much must Mary\u2019s annual income increase so that it constitutes 50% of Mary and John\u2019s combined income?","options":["$3,000","$4,000","$7,000","$11,000"],"answer":"A","correct_option":"$3,000","explanation":"Let Mary's income increase by x, then the equation will be\n15,000 + x= (50 \/100)* (15,000 + x + 18000 )\n15,000 + x = (1\/2) * (33,000 + x)\n30,000 + 2x = x+ 33,000\nx =3,000\nSo, Answer will be A","dataset":"aqua_rat"}
{"question":"if a bad wiring affected a living room floor, which of these would be safest to climb?","options":["the mahogany desk","the metal chair","the steel lamp","the ceramic floor"],"answer":"A","correct_option":"the mahogany desk","explanation":"","dataset":"science"}
{"question":"What comes first in the life cycle of a plant?","options":["garden","seed","pair","flower"],"answer":"B","correct_option":"seed","explanation":"","dataset":"science"}
{"question":"The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?","options":["32","86","44","22"],"answer":"B","correct_option":"86","explanation":"Let the four integers be A, B, C and D where A > B > C > D.\n(A + B + C + D)\/4 = 69 => A + B + C + D = 276 ---> (1)\nA = 93, D = 39 and B - C = 28\n(1) => B + C = 276 - (A + D) = 276 - 132 = 144.\nB + B -28 = 144\nB = (144 + 28)\/2 = 86\nAnswer:Option B","dataset":"aqua_rat"}
{"question":"A glass was filled with 10 ounces of water, and 0.06 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?","options":["0.002%","0.02%","0.2%","12%"],"answer":"D","correct_option":"12%","explanation":"We are given that 0.06 ounces of water evaporated EACH DAY. Furthermore, we know that this process happened over a 20-DAY PERIOD. To calculate the total amount of water that evaporated during this time frame we need to multiply 0.06 by 20. This gives us:\n0.06 x 20 = 1.2 ounces\nFinally, we are asked for \u201cWhat percent\u201d of the original amount of water evaporated during this period. To determine this percentage, we have to make sure we translate the expression correctly. We can translate it to:\n(Amount Evaporated\/Original Amount) x 100%\n(1.2\/10) x 100%\n(12\/100) x 100% = 12%\nAnswer D","dataset":"aqua_rat"}
{"question":"If the digits of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?","options":["68","77","95","86"],"answer":"A","correct_option":"68","explanation":"Explanation :\nLet the no. be 10x + y.\nNo. formed by the interchange of digits = 10y + x\nWe have y - x = 2 .....(i)\ny + x = 14 .....(ii)\nSolving (i) and (ii), we get x = 6, and y = 8\n\u2234 the no. is 68.\nAnswer : Option A","dataset":"aqua_rat"}
{"question":"What's the most common disorder from having an extra chromosome?","options":["down syndrome","Williams syndrome","cri-du-chat syndrome","Turner syndrome"],"answer":"A","correct_option":"down syndrome","explanation":"One common example of an extra-chromosome disorder is Down syndrome ( Figure below ). Children with Down syndrome are mentally disabled and also have physical deformities. Down syndrome occurs when a baby receives an extra chromosome 21 from one of his or her parents. Usually, a child will receive one chromosome 21 from the mother and one chromosome 21 from the father. In an individual with Down syndrome, however, there are three copies of chromosome 21 ( Figure below ). Therefore, Down syndrome is also known as Trisomy 21. These people have 47 total chromosomes.","dataset":"science"}
{"question":"In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race ?","options":["20 min","15 min","10 min","5 min"],"answer":"C","correct_option":"10 min","explanation":"After 5 minutes (before meeting), the top runner covers 2 rounds i.e., 400 m and the last runner covers 1 round\ni.e., 200 m.\n\u2234 Top runner covers 800 m race in 10 minutes.\nAnswer C","dataset":"aqua_rat"}
{"question":"A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:","options":["4","9","12","21"],"answer":"B","correct_option":"9","explanation":"More cogs less revolution,..\nso\n6:14::x:21\n(21*6)\/14=9\nANSWER:B","dataset":"aqua_rat"}
{"question":"What kind of surface temperature is found on venus?","options":["extremely high","cold","cool","a little hot"],"answer":"A","correct_option":"extremely high","explanation":"Venus is the second planet from the Sun and the closest planet to Earth, in distance and in size. Venus has a very thick, corrosive atmosphere, and the surface temperature is extremely high.","dataset":"science"}
{"question":"A sum was put at SI at certain rate for 2 years.Had it been put at 3% higher rate, it would have fetched Rs.300 more.Find the Sum","options":["RS 4000","RS 5000","RS 6000","RS 7000"],"answer":"B","correct_option":"RS 5000","explanation":"let P be the sum.and X be the interest rate.\n(2*(X+3)*P\/100) - (2*X*P\/100)=300\nTHEREFORE 6P\/100=300\nP=RS 5000\nANSWER:B","dataset":"aqua_rat"}
{"question":"I need electrical energy to","options":["Go running","cook some bread","Ride a bike","Go swimming"],"answer":"B","correct_option":"cook some bread","explanation":"","dataset":"science"}
{"question":"Double of Quarter of 1 percent written as a decimal is :","options":["0.003","0.0005","0.25","0.005"],"answer":"D","correct_option":"0.005","explanation":"Explanation :\nSolution: (2)*(1\/4)*1% = 2*(1\/4 * 1\/100) = 1\/400 = 2*0.0025 = 0.005.\nAnswer : D","dataset":"aqua_rat"}
{"question":"A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed afurther 10% reduction on thedis counted price. If a staff member buys thedress what will she have to pay in terms of X?","options":["0.560X","0.560X","0.765X","0.608X"],"answer":"C","correct_option":"0.765X","explanation":"If the price is reduced by 15 %, then the new price will be 0.85D\nIf this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85X = 0.765X\nC","dataset":"aqua_rat"}
{"question":"The area of the square formed on the diagonal of a rectangle as its side is 108 1\/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?","options":["8m","7m","5m","2m"],"answer":"D","correct_option":"2m","explanation":"Let the sides of the rectangle be l and b respectively.\nFrom the given data,\n(\u221al2 + b2) = (1 + 108 1\/3 %)lb\n=> l2 + b2 = (1 + 325\/3 * 1\/100)lb\n= (1 + 13\/12)lb\n= 25\/12 lb\n=> (l2 + b2)\/lb = 25\/12\n12(l2 + b2) = 25lb\nAdding 24lb on both sides\n12l2 + 12b2 + 24lb = 49lb\n12(l2 + b2 + 2lb) = 49lb\nbut 2(l + b) = 28 => l + b = 14\n12(l + b)2 = 49lb\n=> 12(14)2 = 49lb\n=> lb = 48\nSince l + b = 14, l = 8 and b = 6\nl - b = 8 - 6 =2m.\nAnswer:D","dataset":"aqua_rat"}
{"question":"A cistern is filled by pipe A in 16 hours and the full cistern can be leaked out by an exhaust pipe B in 20 hours. If both the pipes are opened, in what time the cistern is full?","options":["50hrs","60hrs","70hrs","80hrs"],"answer":"D","correct_option":"80hrs","explanation":"time taken to full the cistern=(1\/16-1\/20)hrs\n=1\/80\n=80hrs\nANSWER:D","dataset":"aqua_rat"}
{"question":"2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened to fillthe tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?","options":["10 hrs","12 hrs","16 hrs","18 hrs"],"answer":"C","correct_option":"16 hrs","explanation":"1\/20 + 1\/30 = 1\/12\n1 + 1\/3 = 4\/3\n1 --- 12\n4\/3 --- ?\n4\/3 * 12 = 16 hrs\nC","dataset":"aqua_rat"}
{"question":"An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.","options":["3\/5","5\/9","9\/19","4\/9"],"answer":"C","correct_option":"9\/19","explanation":"An empty wooden vessel weighs 20% of its total weight when filled with paint:\nVessel = 0.2(Vessel + Paint);\n20V = V + P (so the weight of completely filled vessel is 10V)\nP = 19V (so the weight of the paint when the vessels is completely filled is 9V).\nThe weight of a partially filled vessel is one half that of a completely filled vessel:\nV + P' = 1\/2*20V;\nP' = 9V (so the weight of the paint when the vessels is partially filled is 9V).\nWhat fraction of the vessel is filled?\nSo, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:\nP'\/P = 9V\/19V = 9\/19.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"A fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. If the drink is made with 35 ounces of grape juice, how many ounces is the drink total?","options":["120","140","160","180"],"answer":"B","correct_option":"140","explanation":"Let the total number of ounces in the drink be x.\n% of orange = 15%\n% of watermelon = 60%\n% of grape = 100% - 75% = 25%\n0.25x = 35\nx = 140\nTherefore there are a total of 140 ounces in the drink.\nThe answer is B.","dataset":"aqua_rat"}
{"question":"The forth proportional to 24,8,15 is?","options":["5","12","18","20"],"answer":"A","correct_option":"5","explanation":"Let the fourth proportional to 24,8,15 be x\nthen 24:8::15:x\n24x = 8*15\nx = 5\nAnswer is A","dataset":"aqua_rat"}
{"question":"What causes gravity on the Earth?","options":["the Sun","friction","heat","Movement"],"answer":"A","correct_option":"the Sun","explanation":"the mass of the sun causes its gravity on Earth","dataset":"qasc"}
{"question":"In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 12 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.","options":["12\/7","4\/1","2\/3","3\/4"],"answer":"A","correct_option":"12\/7","explanation":"Given that Milk\/Water=4x\/x and 4x+x=45 --> x=9.\nThus Milk=4x=36 liters and Water=x=9 liters.\nNew ratio = 36\/(9+12) = 36\/21 = 12\/7.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"at a time A,do 20% less work than B.if A do any work in 15\/2 hour,then in how many hour B will finish work?","options":["5 hour","11\/2 hour","6 hour","13\/2 hour"],"answer":"C","correct_option":"6 hour","explanation":"let B will finish a work in x hour.then,in x hour A,80\/100=4\/5 work do\nratio of work done by A and B=inverse ratio of time taken\n4\/5:1=2\/15:1\/x\n4\/5*1\/x=1*2\/15=4\/5x=2\/15;x=6.\ntime= 6 hour\nanswer C","dataset":"aqua_rat"}
{"question":"How many different three-digit integers can be composed of digits 1, 2, and 3 ?","options":["27","54","64","72"],"answer":"A","correct_option":"27","explanation":"The possible number of variant =3*3*3=27\nOption A","dataset":"aqua_rat"}
{"question":"A cube of side 1.5 meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?","options":["2878","3375","1000","2997"],"answer":"B","correct_option":"3375","explanation":"Along one edge, the number of small cubes that can be cut\n= 150\/10 = 15\nAlong each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut\n= 15 * 15 * 15= 3375\nAnswer: B","dataset":"aqua_rat"}
{"question":"How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?","options":["120","150","160","180"],"answer":"C","correct_option":"160","explanation":"8:12 = 2:3\nIf 240 lrs of the 2nd variety taken then the 1st variety should be taken as 160 lr\nANSWER C","dataset":"aqua_rat"}
{"question":"If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number E of integers that can be negative?","options":["2","3","4","5"],"answer":"D","correct_option":"5","explanation":"Minimuum should be 1\nMaximum should be 4:\n1 out of a or b to make the multiplication negative\n3 out of c, d, e or f to make the multiplication negative.\nNegative+Negative<0\nAnswer:C\nmaximum will be 5..\nyou dont require both the multiplicatin to be negative for entire equation to be negative...\nany one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...\nactually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see E=5 or 1 will give you same equation..\nans D","dataset":"aqua_rat"}
{"question":"Sliding off concrete and onto gravel produces higher levels of","options":["shine","value","longevity","chafing"],"answer":"D","correct_option":"chafing","explanation":"","dataset":"science"}
{"question":"What forms when a glacier scrapes a large hole in the ground?","options":["melting lake","frozen lake","drift lake","glacial lake"],"answer":"D","correct_option":"glacial lake","explanation":"The depression that allows water to collect to form a lake may come about in a variety of ways. The Great Lakes, for example, are glacial lakes. A glacial lake forms when a glacier scrapes a large hole in the ground. When the glacier melts, the water fills the hole and forms a lake. Over time, water enters the lake from the sources mentioned above as well.","dataset":"science"}
{"question":"What is the average of 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125?","options":["419","551","601","590"],"answer":"D","correct_option":"590","explanation":"Add 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125\nGrouping numbers together may quicken the addition\nsum =5310\n5310\/9 =590\n.D","dataset":"aqua_rat"}
{"question":"What is the total number of positive integers that are less than 500 and that have no positive factor in common with 500 other than 1?","options":["50","100","200","300"],"answer":"C","correct_option":"200","explanation":"Since 500=2^2*5^3 then a number can not have 2 and\/or 5 as a factor.\nThe odd numbers do not have 2 as a factor and there are 250 odd numbers from 1 to 500.\nWe then need to eliminate the 50 numbers that end with 5, that is 5, 15, 25,...,495.\nThere are a total of 250 - 50 = 200 such numbers between 1 and 500.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"Scrubbing a toilet is","options":["predestined","innate","genetic","learned"],"answer":"D","correct_option":"learned","explanation":"","dataset":"science"}
{"question":"Paddles and hammers are examples of simple machines that increase the distance over which force is applied, while reducing what?","options":["momentum","gravity","strength","intensity"],"answer":"C","correct_option":"strength","explanation":"Examples of machines that increase the distance over which force is applied are paddles and hammers. Figure below explains how these machines work. In each case, the machine increases the distance over which the force is applied, but it reduces the strength of the applied force.","dataset":"science"}
{"question":"Marshmallows plus ____ technically make a different substance.","options":["steak","cookies","chocolate","fire"],"answer":"D","correct_option":"fire","explanation":"","dataset":"science"}
{"question":"Jane covered a distance of 360 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?","options":["2 hours 30 minutes","4 hours","2 hours","1 hour 45 minutes"],"answer":"B","correct_option":"4 hours","explanation":"Answer\nLet Jane travel 'x' at 60 miles per hour.\nAs the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.\nDistance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.\nDistance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.\nTotal distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.\nTherefore, total distance = 60x + 400 - 80x.\nTotal distance travelled = 340 miles.\nTherefore, 360 = 60x + 400 - 80x\n20x = 80 or x = 4 hours.\nChoice B","dataset":"aqua_rat"}
{"question":"If t>0.9, which of the following options can be the value of t?","options":["0.9^2","\u221a(0.9)","0.09","0.9"],"answer":"B","correct_option":"\u221a(0.9)","explanation":"Lets take a few examples\nWhen .2 is squared it gives .04\nwhen .5 is squared it gives .25\nWhen .9 is squared it gives .81\nSo raising a fraction to its power of 2 or 3 only reduces the value of the fraction\nThis is because\n.2 = 2\/10\n.2^2= 4\/100\n.2^3=8\/1000\nSince the denominator gets an extra 0 each time u increase the power , it is going to drag the value down\nBut if you just think about the opposite case :\nThen we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value\nthat is \u221a(0.04) will give you back 0.2\nso \u221a(0.04) > 0.04\nso obviously diminishing the power will appreciate the value\nSo t \u221a(0.9) > 0.9\nHence Correct Answer is (B)","dataset":"aqua_rat"}
{"question":"A man buys a watch for Rs.1950 in cash and sells it for Rs. 2200 at a credit of 1 year.If the rate of interest is 10% per annum,the man :","options":["gains Rs. 55","gains Rs. 50","loses Rs. 30","gains Rs. 30"],"answer":"B","correct_option":"gains Rs. 50","explanation":"Solution\nS.P. = P.W. of Rs. 2200 due 1 year hence = Rs. [ 2200x100\/100 + (10x 1) ]= Rs. 2000.\n\u2234 Gain = Rs. (2000 - 1950) = Rs. 50.\nAnswer B","dataset":"aqua_rat"}
{"question":"a flood is occurring there was most likely","options":["light hail","clear skies","some leaves","great drops repeating"],"answer":"D","correct_option":"great drops repeating","explanation":"","dataset":"science"}
{"question":"What percent of 7.2 kg is 18 gms ?","options":["25","66","288","19"],"answer":"A","correct_option":"25","explanation":"Explanation:\nRequired percentage = (18\/7200 * 100)% = 1\/4% = 0.25%\nAnswer: A) .25%","dataset":"aqua_rat"}
{"question":"Freezing point is best represented by","options":["water falls","flowing rivers","glass of water","static ice sculpture"],"answer":"D","correct_option":"static ice sculpture","explanation":"","dataset":"science"}
{"question":"In one hour,a boat goes 8 km along the stream and 2 km against the stream.The speed of the boat in still water (in km\/hr) is :","options":["3","5","8","9"],"answer":"B","correct_option":"5","explanation":"Solution\nSpeed in still water =1\/2(8+2)kmph.= 5 kmph. Answer B","dataset":"aqua_rat"}
{"question":"Which is the middle even number between 1 and 9?","options":["10","25","5","8"],"answer":"C","correct_option":"5","explanation":"1+x = 9-x\n2 x = 8\nX = 4\nNow 1+x = 5\nANSWER:C","dataset":"aqua_rat"}
{"question":"In how many different ways can the letters of the word 'BANANA' be arranged?","options":["10 ways","120 ways","30 ways","60 ways"],"answer":"B","correct_option":"120 ways","explanation":"Totally there are 6 letters on the word BANANA. it contains 1B,3A,2N.\nThe no of ways is 6!\/3!2!=120 ways.\nANSWER:B","dataset":"aqua_rat"}
{"question":"What organ absorbs about 90 percent of the water you ingest?","options":["small intestine","skin","lungs","large intestine"],"answer":"A","correct_option":"small intestine","explanation":"Absorption, Feces Formation, and Defecation The small intestine absorbs about 90 percent of the water you ingest (either as liquid or within solid food). The large intestine absorbs most of the remaining water, a process that converts the liquid chyme residue into semisolid feces (\u201cstool\u201d). Feces is composed of undigested food residues, unabsorbed digested substances, millions of bacteria, old epithelial cells from the GI mucosa, inorganic salts, and enough water to let it pass smoothly out of the body. Of every 500 mL (17 ounces) of food residue that enters the cecum each day, about 150 mL (5 ounces) become feces. Feces are eliminated through contractions of the rectal muscles. You help this process by a voluntary procedure called Valsalva\u2019s maneuver, in which you increase intra-abdominal pressure by contracting your diaphragm and abdominal wall muscles, and closing your glottis. The process of defecation begins when mass movements force feces from the colon into the rectum, stretching the rectal wall and provoking the defecation reflex, which eliminates feces from the rectum. This parasympathetic reflex is mediated by the spinal cord. It contracts the sigmoid colon and rectum, relaxes the internal anal sphincter, and initially contracts the external anal sphincter. The presence of feces in the anal canal sends a signal to the brain, which gives you the choice of voluntarily opening the external anal sphincter (defecating) or keeping it temporarily closed. If you decide to delay defecation, it takes a few seconds for the reflex contractions to stop and the rectal walls to relax. The next mass movement will trigger additional defecation reflexes until you defecate. If defecation is delayed for an extended time, additional water is absorbed, making the feces firmer and potentially leading to constipation. On the other hand, if the waste matter moves too quickly through the intestines, not enough water is absorbed, and diarrhea can result. This can be caused by the ingestion of foodborne pathogens. In general, diet, health, and stress determine the frequency of bowel movements. The number of bowel movements varies greatly between individuals, ranging from two or three per day to three or four per week.","dataset":"science"}
{"question":"To create paint with a certain shade of gray, one must combine 2.75 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?","options":["127.2","129.4","347.1","694.4"],"answer":"A","correct_option":"127.2","explanation":"Since the ratio of Black to White is 2.75 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.\nNow between A and B:\nBlack:White = 2.75:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. B is more than half so can not be the answer, A fits the criteria hence should be the correct answer. No calculation needed whatsoever.","dataset":"aqua_rat"}
{"question":"The rate that energy is released is known as","options":["flow","pressure","heat","power"],"answer":"D","correct_option":"power","explanation":"Power is the rate that energy is released. The units for power are watts (W), which equal joules per second . For example, a 60 W light bulb transforms 60 joules of electrical energy into light and heat energy every second.","dataset":"science"}
{"question":"A producer produces it's own","options":["nourishment","plays","rhythm","heartbeat"],"answer":"A","correct_option":"nourishment","explanation":"","dataset":"science"}
{"question":"A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 3 m, the volume of the box (in m3) is:","options":["3780","5120","6420","8960"],"answer":"A","correct_option":"3780","explanation":"Clearly, l = (48 - 6)m = 42 m,\nb = (36 -6)m = 30 m,\nh = 8 m.\nVolume of the box = (42 x 30 x 3) m3 = 3780 m3. Answer: Option A","dataset":"aqua_rat"}
{"question":"In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 30% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?","options":["80","95","105","120"],"answer":"D","correct_option":"120","explanation":"20% of the workerswithoutretirement plan are women, this means 80% of the workerswithoutretirement plan are men right? Makes 100% = no retirement plan.\nThen 40% of those wo have a retirement plan are men, which means 60% of those who have a retirement plan are women. These percentages are always refering to the subgroupsRetirement plan = YesandNo Retirement Plan.\nMake the total workers equal x and work from there and it should be fine > x\/3 have no retirement plan at all. I struggled with the question a lot, it was hard for me although usually I have no problems with sets questions like this. I believe it must be a 700+ question.\nYes, you are right. I read the question incorrectly! I glazed overnotfor some reason.\nIf20% of the workers who do not have a retirement plan are women,80% who do not have retirement plan are men. Also 40% who do have retirement plan are men. Since 1\/3 do not have retirement plan and 2\/3 do have, it becomes a simple weighted average question.\nCavg = (70*1 + 40*2)\/3 = 50% are men\nTotal = 120*100\/50 = 240\nNo. of women = 240 - 120 = 120\nD","dataset":"aqua_rat"}
{"question":"The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4\u03c0\u00b7R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams R?","options":["16","R=32","R=64","128"],"answer":"B","correct_option":"R=32","explanation":"Weight directly proportional to 4 pi r^2\nNow, 4pi is constant, so, weight is directly proportional to r^2.\nWhen radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;\n(0.15)^2 * 4 proportional to 8*4, solving further\n(0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (B)","dataset":"aqua_rat"}
{"question":"A plant photosynthesizing will do a more efficient job it it has","options":["thirty leaves","ten leaves","six leaves","one leaf"],"answer":"A","correct_option":"thirty leaves","explanation":"","dataset":"science"}
{"question":"Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?","options":["Rs.29.25","Rs.39.25","Rs.29.29","Rs.23.25"],"answer":"A","correct_option":"Rs.29.25","explanation":"Average of 9 = x\n9x = 8 * 3 + x * 2 x = 3.25\nTotal = 9 * 3.25 = 29.25\nAnswer:A","dataset":"aqua_rat"}
{"question":"Two stations A and B are 200 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?","options":["9","10","11","12"],"answer":"D","correct_option":"12","explanation":"Suppose they meet x hours after 7 a.m.\nDistance covered by A in x hours = 20x km.\nDistance covered by B in (x - 1) hours = 25(x - 1) km.\nTherefore 20x + 25(x - 1) = 200\n45x = 225\nx = 5.\nSo, they meet at 12 a.m.\nAnswer: Option D","dataset":"aqua_rat"}
{"question":"In what time a sum of money double itself at 6% per annum simple interest?","options":["33 1\/8%","16 2\/3%","33 7\/3%","32 1\/3%"],"answer":"B","correct_option":"16 2\/3%","explanation":"P = (P*6*R)\/100\nR = 16 2\/3%\nAnswer: B","dataset":"aqua_rat"}
{"question":"A diver's air bubbles increase in size as he approaches the surface because what decreases?","options":["water weight","water energy","water direction","water pressure"],"answer":"D","correct_option":"water pressure","explanation":"A scuba diver, like the one in Figure below , releases air bubbles when he breathes under water. As he gets closer to the surface of the water, the air bubbles get bigger. Boyle\u2019s law explains why. The pressure of the water decreases as the diver gets closer to the surface. Because the bubbles are under less pressure, they increase in volume even though the amount of gas in the bubbles remains the same.","dataset":"science"}
{"question":"What are the three classifications of elements?","options":["metals, metaloids, and alkaloids","alkaloids, metaloids, and non-metals","metals, non-metals and alkaloids","metals, non-metals and metaloids"],"answer":"D","correct_option":"metals, non-metals and metaloids","explanation":"The majority of known elements are classified as metals. Metals are elements that are lustrous, or shiny. They are also good conductors of electricity and heat. Examples of metals include iron, gold, and copper. Fewer than 20 elements are classified as nonmetals. Nonmetals lack the properties of metals. Examples of nonmetals include oxygen, hydrogen, and sulfur. Certain other elements have properties of both metals and nonmetals. They are known as metalloids. Examples of metalloids include silicon and boron.","dataset":"science"}
{"question":"what has a negative impact on the respiratory system?","options":["harmful substances","water-damaged carpets","a pathogens","lungs"],"answer":"B","correct_option":"water-damaged carpets","explanation":"water-damaged carpets have a negative impact on the respiratory system","dataset":"qasc"}
{"question":"Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 320 square feet. How many feet offence does Frank use?","options":["14","47","54","56"],"answer":"D","correct_option":"56","explanation":"Area = Length x Breadth\n320 = 40 x Breadth\nSo, Breadth = 8 Units\nFencing required is -\nBreadth + Breadth + Length\n8 + 8 + 40 => 56 feet\nAnswer must be (D) 56","dataset":"aqua_rat"}
{"question":"Find the HCF of 54, 288, 360","options":["18","36","54","108"],"answer":"A","correct_option":"18","explanation":"Explanation:\nLets solve this question by factorization method.\n18=2\u00d732,288=25\u00d732,360=23\u00d732\u00d75\nSo HCF will be minimum term present in all three, i.e.\n2\u00d732=18\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"The average of 45 results is 9. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?","options":["515","480","750","650"],"answer":"A","correct_option":"515","explanation":"23th result = sum of 45results - sum of 44 results\n9*45-15*22+20*22 = 450-330+440 = 515\nAnswer is A","dataset":"aqua_rat"}
{"question":"How many times are the hands of a clock at right angle in 6 hours?","options":["9","10","11","12"],"answer":"C","correct_option":"11","explanation":"In 12 hours, they are at right angles 22 times.\nIn 6 hours, they are at right angles 11 times. Answer: Option C","dataset":"aqua_rat"}
{"question":"At a meeting of the 6 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?","options":["56","64","72","80"],"answer":"C","correct_option":"72","explanation":"6 people can be arranged around a table in 5! ways.\nConsider the two chiefs who will not sit together as a single unit.\nThe number of ways to arrange 5 units around a table is 4!\nWe need to multiply this by 2 as the two people can be switched in each arrangement.\nThe total number of ways to arrange the chiefs is 5! - 2*4! = 3*4! = 72\nThe answer is C.","dataset":"aqua_rat"}
{"question":"What sum of money will produce Rs.90 as simple interest in 4 years at 3 1\/2 percent?","options":["263","500","367","642.9"],"answer":"D","correct_option":"642.9","explanation":"90 = (P*4*7\/2)\/100\nP = 642.9\nAnswer: D","dataset":"aqua_rat"}
{"question":"If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled?","options":["25\/216","50\/216","25\/72","25\/36"],"answer":"C","correct_option":"25\/72","explanation":"Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216\nTo get exactly one 3, there are three ways:\nA 3 on the first roll and non 3 on other two rolls. This can be done in 1*5*5 = 25 ways.\nThe 3 could be on the second or third roll too. So total favorable cases = 25*3 = 75\nRequired Probability = 75\/216 = 25\/72\nAnswer (C)","dataset":"aqua_rat"}
{"question":"A bat may use echolocation to","options":["the grocery store","call a friend","track a moth","a concert"],"answer":"C","correct_option":"track a moth","explanation":"","dataset":"science"}
{"question":"At present,the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun\u2019s age will be 26 years. What is the age of Deepak at present ?","options":["12 years","15 years","19\u00bd years","21 years"],"answer":"B","correct_option":"15 years","explanation":"Solution\nLet the present ages of Arun and Deepak be 4x years and 3x years respectively.\nThen, 4x +6 = 26 \u21d4 4x = 20 \u21d4 x =5.\n\u2234 Deepak's age =3x =15 years. Answer B","dataset":"aqua_rat"}
{"question":"Falcons reside best in","options":["volcanoes","Scottish moors","tar pits","ocean trenches"],"answer":"B","correct_option":"Scottish moors","explanation":"","dataset":"science"}
{"question":"There are 4 more women than men on Centerville's board of education. If there are 4 members on the board, how many are women?","options":["3","4","6","7"],"answer":"B","correct_option":"4","explanation":"Given: M=W-4 so, W+(W-4)=4 --> W=4.\nAnswer: B.","dataset":"aqua_rat"}
{"question":"Of the five numbers in a sequence, the first term is 7,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?","options":["6988.8","9,750.90","9,975.15","9,984.30"],"answer":"A","correct_option":"6988.8","explanation":"1st number= 7,000\n2nd number = 20% of 7,000= 1400\n3rd number= 20% of 1400= 280\n4th number = 20% of 280= 56\n5th number= 20% of 56= 11.2\nRange = 7,000-11.2= 6988.8\nA is the answer","dataset":"aqua_rat"}
{"question":"In an xy-coordinate plane, a line is defined by y = kx + 1. If (2, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?","options":["1\/2","1","3\/2","2"],"answer":"B","correct_option":"1","explanation":"b=2k+1...(1)\nb+1=ak+1...(2)\n4=ak+1...(3)\nTaking (2) and (3)\n4=b+1\nb=3\nTaking (1)\n3=2k+1\nk=1\nAnswer : B","dataset":"aqua_rat"}
{"question":"Cars C1 and C2 travel to a place at a speed of 30 and 45 km\/h respectively. If car C2 takes 21\u20442 hours less time than C1 for the journey, the distance of the place is","options":["300 km","400 km","350 km","225 km"],"answer":"D","correct_option":"225 km","explanation":"Let C1 takes t hrs. Then,\n\u2234 Distance is same.\n\u2234 30t = 45(t - 5\u20442)\n\u21d2 t = 15\u20442 hrs.\n\u2234 Distance = 30 \u00d7 15\u20442 = 225 km\nAnswer D","dataset":"aqua_rat"}
{"question":"The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average?","options":["78","56","80","27"],"answer":"C","correct_option":"80","explanation":"Sum of the marks for the 10 students\n= 10 * 40 = 400. The marks of each student are doubled, the sum also will be doubled.\nThe new sum = 400 * 2 = 800. So, the new average\n= 800\/10 = 80.\nAnswer: C","dataset":"aqua_rat"}
{"question":"The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.","options":["0.4869","0.5904","0.6234","0.5834"],"answer":"B","correct_option":"0.5904","explanation":"Explanation:\nP(winning prize atleast on one ticket)\n= 1 - P(\"Losing on all tickets\")\n= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)\n= (1.64)(0.36) = 0.5904\nANSWER IS B","dataset":"aqua_rat"}
{"question":"Sparrows gain lift with more grace than a vulture due to","options":["mental capacity","will power","feather color","size"],"answer":"D","correct_option":"size","explanation":"","dataset":"science"}
{"question":"A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that Exactly three are not spoiled.","options":["116\/495","224\/495","129\/495","187\/495"],"answer":"B","correct_option":"224\/495","explanation":"equired probability = 8C3 . 4C1\/12C4 = 56 x 4\/495\n= 224\/495.\nANSWER:B","dataset":"aqua_rat"}
{"question":"81,162,49,98,25,50,55","options":["110","127","129","128"],"answer":"A","correct_option":"110","explanation":"81*2=162\n49*2=98\n25*2=50\n55*2=110\nANSWER:A","dataset":"aqua_rat"}
{"question":"If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?","options":["60","28","26","17"],"answer":"A","correct_option":"60","explanation":"Explanation:\nWhen P scores 80, Q scores 64.\nWhen R scores 80, P scores 60\nHence, when R scores 150, Q scores (60 * 64 * 150) \/ (80 * 80) = 90\nTherefore, in a game of 150, R can give 60 points to Q.\nANSWER: A","dataset":"aqua_rat"}
{"question":"Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 480 pounds of the seed mixture?","options":["6","12","20","24"],"answer":"B","correct_option":"12","explanation":"If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.\nThus we need 40 pounds of mixture per acre.\n480 \/ 40 = 12 acres\nThe answer is B.","dataset":"aqua_rat"}
{"question":"Two different types of tea are mixed, at 6 Kg of type 1 and 4 Kg of type 2. One Kg of type 1 is Rs. 6 and that of type 2 is Rs. 7. The seller get 10% profit, by this action. Find at what price, he had sold the mixture\/Kg?","options":["Rs 5.04","Rs 7.04","Rs 6.04","Rs 8.04"],"answer":"B","correct_option":"Rs 7.04","explanation":"CP of 6 kg tea of type 1= 6*6=36 Rs.\nCP of 4 kg tea of type 2= 4*7=Rs 28\nCP of 10 kg mixed tea = Rs Rs 64\nSP of mixture for 10% profit = 64*1.1= Rs 70.4\nSP of 1kg mixed tea = Rs 7.04\nANSWER:B","dataset":"aqua_rat"}
{"question":"What is the sum of all remainders obtained when the first 300 natural numbers are divided by 9?","options":["397","401","403","405"],"answer":"D","correct_option":"405","explanation":"A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.\n1 divided by 9 gives the remainder of 1;\n2 divided by 9 gives the remainder of 2;\n...\n8 divided by 9 gives the remainder of 8;\n9 divided by 9 gives the remainder of 0.\nWe'll have 11 such blocks, since 99\/9=11. The last will be:\n91 divided by 9 gives the remainder of 1;\n92 divided by 9 gives the remainder of 2;\n...\n98 divided by 9 gives the remainder of 8;\n99 divided by 9 gives the remainder of 0.\nThe last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:\n11(1+2+3+4+5+6+7+8+0)+1=405.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 5 women will do that task.","options":["13\/14","13\/10","13\/18","13\/16"],"answer":"A","correct_option":"13\/14","explanation":"3 m + 8 w = 6 m + 2 w\n3 m = 6 w\n1 m = 2 w\nTherefore 3 m + 8 w = 14 w\n4 m + 5 w =13 w\nAnswer is 13\/14\nAnswer: A","dataset":"aqua_rat"}
{"question":"Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?","options":["120","720","125","729"],"answer":"D","correct_option":"729","explanation":"Explanation :\nThe first ring can be worn in any of the 3 fingers\n=> There are 3 ways of wearing the first ring\nSimilarly each of the remaining 5 rings also can be worn in 3 ways\nHence total number of ways\n=3\u00d73\u00d73\u00d73\u00d73\u00d76=36=729. Answer : Option D","dataset":"aqua_rat"}
{"question":"A train covers a distance of 6 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?","options":["120m","180m","240m","220m"],"answer":"A","correct_option":"120m","explanation":"Speed = (6\/10 * 60) km\/hr = (36 * 5\/18) m\/sec = 10 m\/sec.\nLength of the train = 10 * 12 = 120 m.\nANSWER:A","dataset":"aqua_rat"}
{"question":"One way to recycle paper is by using it to","options":["build oceans","build spaceships","wipe grime","build cars"],"answer":"C","correct_option":"wipe grime","explanation":"","dataset":"science"}
{"question":"which of the following is exactly in the middle between 3 and 1 in below arrangement?\nP R E 5 D A P $ 3 T I Q 7 9 B # 2 K % U 1 M W 4 * J 8 N","options":["7","8","9","6"],"answer":"C","correct_option":"9","explanation":"9. ITS THE 6TH LETTER FROM BOTH THE SIDE\nANSWER:C","dataset":"aqua_rat"}
{"question":"The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?","options":["2000","4000","5000","1000"],"answer":"B","correct_option":"4000","explanation":"Let monthly income A = a\nmonthly income of B = b\nmonthly income C= c\na+b=2*5050 --- 1\nb+c=2*6250----2\na+c=2*5200----3\nadd 3 eqns\na=4000\nmonthly income of A = 4000\nANSWER B","dataset":"aqua_rat"}
{"question":"If e = 20! + 17, then e is divisible by which of the following?\nI. 15\nII. 17\nIII. 19","options":["None","I only","II only","I and II"],"answer":"C","correct_option":"II only","explanation":"Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.\nSo e!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.","dataset":"aqua_rat"}
{"question":"In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 77 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?","options":["550","245","150","35"],"answer":"A","correct_option":"550","explanation":"Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7 = 0.14, or 14% of the boys in the camp are from school A and do not study science.\nWe are told that this number equals to 77, so 0.14*{total} = 77 --> {total} = 550.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 998 ?","options":["249","498","676","823"],"answer":"B","correct_option":"498","explanation":"slope of 2 and a y-intercept of 2\ny-coordinate is 998\ny = 2x + 2\n996 = 2x\nx = 498\nAnswer:\nB. 498","dataset":"aqua_rat"}
{"question":"What is the term for a theoretical framework for describing evolutionary change in populations through the change in allele frequencies?","options":["total genetics","density genetics","population genetics","percent genetics"],"answer":"C","correct_option":"population genetics","explanation":"CHAPTER SUMMARY 11.1 Discovering How Populations Change Evolution by natural selection arises from three conditions: individuals within a species vary, some of those variations are heritable, and organisms have more offspring than resources can support. The consequence is that individuals with relatively advantageous variations will be more likely to survive and have higher reproductive rates than those individuals with different traits. The advantageous traits will be passed on to offspring in greater proportion. Thus, the trait will have higher representation in the next and subsequent generations leading to genetic change in the population. The modern synthesis of evolutionary theory grew out of the reconciliation of Darwin\u2019s, Wallace\u2019s, and Mendel\u2019s thoughts on evolution and heredity. Population genetics is a theoretical framework for describing evolutionary change in populations through the change in allele frequencies. Population genetics defines evolution as a change in allele frequency over generations. In the absence of evolutionary forces allele frequencies will not change in a population; this is known as Hardy-Weinberg equilibrium principle. However, in all populations, mutation, natural selection, genetic drift, and migration act to change allele frequencies.","dataset":"science"}
{"question":"A contest will contain n questions each of which is to be answered either true or false. Anyone who answers all n questions correctly will be a winner what is the least value of n for which the probability is less then 1\/1000 then a person who randomly guesses the answer to each q's will be a winner?","options":["5","10","50","100"],"answer":"B","correct_option":"10","explanation":"The probability that a person will randomly guess all nn questions correctly is 1\/2n1, so we want the value of nmin for which 1\/2n<1<11000 --> 2n>1000 as nn is an integer nmin==10 (2^10=1024>1000).\nAnswer: B.","dataset":"aqua_rat"}
{"question":"City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?","options":["57","57.5","58.2","59"],"answer":"B","correct_option":"57.5","explanation":"The total distance is 1\u00d750+3\u00d760=2301\u00d750+3\u00d760=230. And the total time is 4 hours. Hence,\nAverage Speed=(Total DistanceTotal Time)=2304=57.5\nB","dataset":"aqua_rat"}
{"question":"is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 42, then how old is B?","options":["16","8","9","10"],"answer":"A","correct_option":"16","explanation":"Let C's age be x years.\nThen, B's age = 2x years.\nA's age = (2x + 2) years.\n(2x + 2) + 2x + x = 42\n5x = 40 => x = 8\nHence, B's age = 2x = 16 years.\nANSWER:A","dataset":"aqua_rat"}
{"question":"The lungs, kidneys, skin, and large intestine are all part of what organ system?","options":["digestive","respiratory","sensory","excretory"],"answer":"D","correct_option":"excretory","explanation":"Organs of the excretory system include the kidneys, large intestine, skin, and lungs.","dataset":"science"}
{"question":"A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2\/7th share. How much money is contributed by B?","options":["Rs.12828","Rs.12800","Rs.12829","Rs.12297"],"answer":"B","correct_option":"Rs.12800","explanation":"16*8: x*4 = 5:2\nx = 12.8 => Rs.12800\nAnswer: B","dataset":"aqua_rat"}
{"question":"A certain bag contains 60 balls \u2014 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?","options":["0.09","0.15","0.54","0.75"],"answer":"D","correct_option":"0.75","explanation":"According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)\/(total) = (22 + 18 + 5)\/60 = 45\/60 = 0.75.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value E of the ratio A\/B?","options":["1\/2","1\/3","2\/3","1\/4"],"answer":"A","correct_option":"1\/2","explanation":"E-> A\/B=20*21*\u2026\u2026*39\/21*22*\u2026.*39*40=20\/40=1\/2.\nTherefore, the answer is A.","dataset":"aqua_rat"}
{"question":"From a square piece of a paper having each side equal to 10 cm, the largest possible circle is being cut out. The ratio of the area of the circle to the area of the original square is nearly :","options":["4\u20445","3\u20445","5\u20446","6\u20447"],"answer":"A","correct_option":"4\u20445","explanation":"Area of the square = (10)2 = 100 cm2\nArea of the circle = 22\u20447 \u00d7 (5)2 = 22\u00d725\/7\nRequired ratio = 22\u00d725\/7\u00d7100=22\/28=11\/14\n= 0.785 \u2248 0.8 = 4\u20445\nAnswer A","dataset":"aqua_rat"}
{"question":"Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King","options":["1\/29","1\/26","1\/26","1\/25"],"answer":"B","correct_option":"1\/26","explanation":"Explanation:\nLet X be the event that cards are in a club which is not king and other is the king of club.\nLet Y be the event that one is any club card and other is a non-club king.\nHence, required probability:\n=P(A)+P(B)\n=\\inline {\\color{Black}[(12C_{1}\\times 1C_{1})\/52C_{2}]+[(13C_{1}\\times 3C_{1})\/52C_{2}]}\nAnswer: B) 1\/26\n== =","dataset":"aqua_rat"}
{"question":"If x^2 + y^2 = 13 and xy = 3, then (x \u2212 y)^2 =","options":["7","11","14","17"],"answer":"A","correct_option":"7","explanation":"but you cannot take xy+ 3 to mean xy=-3..\nonly if xy+3=0, it will mean xy=-3..\nrest your solution is perfect and you will get your correct answer as 13-2*3=7..\nAnswer A","dataset":"aqua_rat"}
{"question":"The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?","options":["22678","26699","26788","19000"],"answer":"D","correct_option":"19000","explanation":"Money paid in cash = Rs. 1000\nBalance payment = (20000 - 1000) = Rs. 19000\nAnswer: D","dataset":"aqua_rat"}
{"question":"The average salary of the employees in a office is Rs.120\/month.The avg salary of officers is Rs.440 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.","options":["400","420","480","450"],"answer":"C","correct_option":"480","explanation":"Let no. of non- officers be x\n15 * 440 + x * 110 = (x + 15) 120\nx = 480\nC","dataset":"aqua_rat"}
{"question":"The cost price of 20 books is the same as the selling price of \u2019X\u2019 books. If the profit is 28%, then the value of X is ?","options":["25","13.8","16","15"],"answer":"B","correct_option":"13.8","explanation":"let S.P. of X books = Rs 100 = C.P. of 20 books\nTherefore, C.P. of one book = Rs 5.6\nProfit = 28 %\nTherefore, S.P of one book = 7.2\nS.P of X articles = 7.2 X\n7.2 X = 100 => X = 13.8\nANSWER:B","dataset":"aqua_rat"}
{"question":"P , Q, R enter into a partnership & their share are in the ratio 1\/2 : 1\/3 : 1\/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is P's share?","options":["112","120","134","144"],"answer":"A","correct_option":"112","explanation":"Explanation :\nThe ratio of their initial investment = 1\/2 : 1\/3 : 1\/4\n= 6 : 4: 3\nLet's take the initial investment of P, Q and R as 6x, 4x and 3x respectively\nA:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12\n= (12+30) : 4*12 : 3*12\n=(4+10) : 4*4 : 12\n= 14 : 16 : 12\n= 7 : 8 : 6\nP's share = 378 * (7\/21) = 112. Answer : Option A","dataset":"aqua_rat"}
{"question":"The letters in the word \"PLACES\" are permuted in all possible ways and arranged in the alphabetical order.Find the word at 48 position.","options":["AESPCL","ALCEPS","ALSCEP","AESPLC"],"answer":"D","correct_option":"AESPLC","explanation":"for words AC**** possible ways for arranging * will be 4!=24\nnow next seq in alphabatical order will be AE**** so....\nsame way for AE**** possible ways for arranging * will be 4!=24\n..\n..\nThus, 48th element will be last element in AE**** that means AE followd by reverse alphabatical order! which is AESPLC\nANSWER:D","dataset":"aqua_rat"}
{"question":"A 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?","options":["300m","278m","350m","228m"],"answer":"A","correct_option":"300m","explanation":"Speed = [300 \/ 18] m\/sec = 50\/3 m\/sec.\nLet the length of the platform be x meters.\nThen, x + 300 \/ 36\n= 50\/3\n3(x + 300)\n= 1800 \u00e8 x\n= 300m.\nAnswer:A","dataset":"aqua_rat"}
{"question":"Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.","options":["2","3","4","5"],"answer":"C","correct_option":"4","explanation":"Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)\n= H.C.F. of 48, 92 and 140 = 4.\nanswer :C","dataset":"aqua_rat"}
{"question":"What is the limiting factor for bacteria in a dish?","options":["speed","space","material","density"],"answer":"B","correct_option":"space","explanation":"The blades of simple leaves are not divided. This provides the maximum surface area for collecting sunlight.","dataset":"science"}
{"question":"In a group of 12 engineers, 4 engineers have a PHD degree; the others have only an MS or BS degree. A team of 4 engineers is to be chosen which must have at least 1 engineer with a PHD, how many different teams can be chosen?","options":["495","70","245","425"],"answer":"D","correct_option":"425","explanation":"The problem asks for a combination, since order doesn't matter. Now, selecting r items from a set of n gives the Combination Formula: nCr= n!\/r!(n-r)!\nn = 12\nr = 4\nSo, total teams is 12C4 = 12!\/(4!(12 - 4)!) = 495, and\nn = 12 - 4 = 8\nr = 4\nfor teams without a PHD is 8C4 = 8!\/(4!(8 - 4)!) = 70,\nso, teams with at least 1 PHD = 495 - 70 = 425\nAnswer: D","dataset":"aqua_rat"}
{"question":"Bonding in molecules with resonance forms is better described by which theory?","options":["Geiger theory","Pascal's theory","molecular orbital theory","string theory"],"answer":"C","correct_option":"molecular orbital theory","explanation":"Hybridization involves only \u03c3 bonds, lone pairs of electrons, and single unpaired electrons (radicals). Structures that account for these features describe the correct hybridization of the atoms. However, many structures also include resonance forms. Remember that resonance forms occur when various arrangements of \u03c0 bonds are possible. Since the arrangement of \u03c0 bonds involves only the unhybridized orbitals, resonance does not influence the assignment of hybridization. For example, molecule benzene has two resonance forms (Figure 8.26). We can use either of these forms to determine that each of the carbon atoms is bonded to three other atoms with no lone pairs, so the correct hybridization is sp2. The electrons in the unhybridized p orbitals form \u03c0 bonds. Neither resonance structure completely describes the electrons in the \u03c0 bonds. They are not located in one position or the other, but in reality are delocalized throughout the ring. Valence bond theory does not easily address delocalization. Bonding in molecules with resonance forms is better described by molecular orbital theory. (See the next module.","dataset":"science"}
{"question":"30 men can do a work in 40 days. When should 14 men leave the work so that the entire work is completed in 40 days after they leave the work?","options":["87 days","16 days","55 days","44 days"],"answer":"B","correct_option":"16 days","explanation":"Total work to be done = 30 * 40 = 1200\nLet 14 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.\n40P + (14 * 40) = 1200\n40P = 640 => P = 16 days\nAnswer:B","dataset":"aqua_rat"}
{"question":"In expressing a length 810472 km as nearly as possible with three significant digits , find the percentage error","options":["0.34%","0.034%","0.0034%","0.00034%"],"answer":"B","correct_option":"0.034%","explanation":"Error = (81.5 \u2013 81.472)km = 0.028.\nRequired percentage = [(0.028\/81.472)*100]% = 0.034%.\nAnswer is B.","dataset":"aqua_rat"}
{"question":"Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 192 as interest at the end of the loan period, what was the rate of interest?","options":["3.6","6","4","Cannot be determined"],"answer":"C","correct_option":"4","explanation":"Let rate = R% and time = R years.\nThen,1200 x R x R\/100= 192\n12R2 = 192\nR2 = 16\nR = 4.\nAnswer:C","dataset":"aqua_rat"}
{"question":"The tax on a commodity is diminished by 25% and its consumption increased by 15%. The effect on revenue is?","options":["12% decrease","18% decrease","19% decrease","13.75% decrease"],"answer":"C","correct_option":"19% decrease","explanation":"100 * 100 = 10000\n75 * 115 = 9200\n-----------\n10000-----------1375\n100-----------? => 13.75% decrease\nAnswer: C","dataset":"aqua_rat"}
{"question":"A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 14% while buying and by 20% while selling. What is his percentage profit?","options":["10.22%","20.22%","21.22%","42.5%"],"answer":"D","correct_option":"42.5%","explanation":"The owner buys 100 kg but actually gets 114kg;\nThe owner sells 100 kg but actually gives 80kg;\nProfit: (114-80)\/80*100=~42.5%\nAnswer: D.","dataset":"aqua_rat"}
{"question":"What percent of a day is 6 hours?","options":["6.25%","20%","25%","12.5%"],"answer":"C","correct_option":"25%","explanation":"Total hours in a day = 24\nRequired percent =6\u00d7100=25%\n---\n24\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"What is the most important characteristic of a homogeneous mixture?","options":["uniform composition throughout","very reactive","high density","nonreactive"],"answer":"A","correct_option":"uniform composition throughout","explanation":"A homogeneous mixture is a mixture in which the composition is uniform throughout the mixture. The salt water described above is homogeneous because the dissolved salt is evenly distributed throughout the entire salt water sample. Often it is easy to confuse a homogeneous mixture with a pure substance because they are both uniform. The difference is that the composition of the substance is always the same. The amount of salt in the salt water can vary from one sample to another. All solutions would be considered homogeneous because the dissolved material is present in the same amount throughout the solution.","dataset":"science"}
{"question":"A group of 7 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the six other students from the group?","options":["5.76%","4.76%","15.75%","20.67%"],"answer":"B","correct_option":"4.76%","explanation":"The question basically asks about the probability that Bob and Lisa sit at the ends.\nThe total # of sitting arrangements is 7!.\nDesired arrangement is either BVWXYZL or LVWXYZB. Now, VWXYZ can be arranged in 5! ways, therefore total # of favorable arrangements is 2*5!.\nP=(favorable)\/(total)=(2*5!)\/7!=1\/21.\nAnswer: B.","dataset":"aqua_rat"}
{"question":"A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1628?","options":["s.109","s.108","s.110","s.103"],"answer":"C","correct_option":"s.110","explanation":"3x 4x 5x\n6 9 4\n18x + 36x + 20x = 1628\n74x = 1628 => x = 22\n5x = 110 Rs.\nAnswer:C","dataset":"aqua_rat"}
{"question":"A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?","options":["13","33","50","51"],"answer":"C","correct_option":"50","explanation":"The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.\nIt means there is no effect of change in volume of water to the costing of the solution\nSo a solution of 1 liter of spirit and 2 liters of water will cost 50 cents\nAnswer = 50\nANSWER:C","dataset":"aqua_rat"}
{"question":"At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?","options":["62.5","62.1","62.9","62.2"],"answer":"A","correct_option":"62.5","explanation":"CP = 47.50\nSP = 47.50*(125\/100) = 59.375\nMP*(95\/100) = 59.375\nMP = 62.5\nAnswer: A","dataset":"aqua_rat"}
{"question":"The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 1 year older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?","options":["20","21","22","23"],"answer":"D","correct_option":"23","explanation":"Let the average age of the whole team be x years.\n11x - (27 + 28) = 9 (x - 1)\n11x - 9x = 46\n2x = 46\nx = 23.\nThe average age of the team is 23 years.\nThe answer is D.","dataset":"aqua_rat"}
{"question":"In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?","options":["5 km\/hr","7 km\/hr","9 km\/hr","2 km\/hr"],"answer":"A","correct_option":"5 km\/hr","explanation":"Let Abhay's speed be x km\/\/hr.\nThen, 30\/x - 30\/2x = 3\nx = 5 km\/hr.\nAnswer:A","dataset":"aqua_rat"}
{"question":"Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 40 minutes, for how many kilometers total did she hike east?","options":["3.625","3.5","3","3.04"],"answer":"D","correct_option":"3.04","explanation":"Set up two R x T =D cases.\n1. 1\/12 km\/ min x T = 2.75\nfrom which T= 33 mins.\nWe know total journey time now is 40 +33 =73.\nThe rate is the same ie 1\/12km\/min.\nset up second R x T =D case.\n1\/12 km\/min x 73 = 6.08 km\nNow the total journey would be halved as distance would be same in each direction. 6.08\/2 =3.04\nD.","dataset":"aqua_rat"}
{"question":"If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?","options":["45\u00b0","30\u00b0","11.25\u00b0","18\u00b0"],"answer":"C","correct_option":"11.25\u00b0","explanation":"The complement of angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a right triangle are complements, for example.\nThe original angle is x, so the complement is 7x, and together, these add up to 90 degrees.\nx + 7x = 90\n8x = 90\nx = 11.25\u00b0\nAnswer = (C)","dataset":"aqua_rat"}
{"question":"A man swims downstream 96 km and upstream 40 km taking 8 hours each time; what is the speed of the current?","options":["3.5 kmph","1.5 kmph","13 kmph","6.5 kmph"],"answer":"A","correct_option":"3.5 kmph","explanation":"Explanation:\n96 --- 8 DS = 12\n? ---- 1\n40 ---- 8 US = 5\n? ---- 1 S = ?\nS = (12 - 5)\/2 = 3.5\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"What most likely caused the castle built by children at the beach to disappear?","options":["a cat ran off with it","a dog carried it away in its mouth","someone cast a magic spell on it","very strong eddies of fast moving air carried it away over time"],"answer":"D","correct_option":"very strong eddies of fast moving air carried it away over time","explanation":"","dataset":"science"}
{"question":"if members of a species are born then the species what increases?","options":["water","community","understanding","food"],"answer":"B","correct_option":"community","explanation":"","dataset":"science"}
{"question":"Felix earned 70% more per month than Oscar. If Felix\u2019s salary is decreased 10% and Oscar\u2019s salary is increased by 10%, then Felix would be earning what percent more than Oscar?","options":["10%","9.09%","40%","39.09%"],"answer":"D","correct_option":"39.09%","explanation":"This Q is all about taking the correct BASE for taking %s..\nthe very first step requires taking some numbers for each..\nONE should be 100...\nit is easy to take 30 and 100 here..\nbut the BASE is 100 here, so the salary can be 100 and 170..\n100 increases 10% =110..\n170 decreases 10%=153..\nso the increase is 43..\nagain the BASE is 110, so answer 43\/110 * 100= 39.09% D\nwithout calculations,\nanswer cannot be equal to or greater than 40, as 43 is on 110..\nso D is the only one left","dataset":"aqua_rat"}
{"question":"In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turnon to be white, if all possible hypothesis concerning thecolor of theballs that initiallyin the bag were equally possible ?","options":["2\/3","5\/8","3\/5","3\/8"],"answer":"B","correct_option":"5\/8","explanation":"Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.\n\u2234 Required probability = 1\/4 [1 + 3\/4 + 1\/2 + 1\/4]\n= 1\/4 [(4 + 3 + 2 + 1)\/4] = 5\/8\nB","dataset":"aqua_rat"}
{"question":"If the average cost of a house was $50,000 in 1965 and was x in 2000, what was the average increase in home prices per year over this period?","options":["A)(x+50,000)\/40","B)(x-50,000)\/35","C)(50,000\/40)+x","D)(50,000-x)\/40"],"answer":"B","correct_option":"B)(x-50,000)\/35","explanation":"Average house price in 2000: x\nAverage house price in 1965: 50,000\n2000-1965=35\nAverage increase per year: (x-50,000)\/35\nAnswer is B","dataset":"aqua_rat"}
{"question":"In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?","options":["85%","80%","75%","70%"],"answer":"A","correct_option":"85%","explanation":"The percent of employees who are unionized and men is 0.7*0.6 = 42%\nThe percent of employees who are unionized and women is 60 - 42 = 18%\n52% of all employees are women, so non-union women are 52%-18% = 34%\n40% of all employees are non-union.\nThe percent of non-union employees who are women is 34%\/40% = 85%\nThe answer is A.","dataset":"aqua_rat"}
{"question":"If a thing is going to shock you, you could block the shock best with","options":["a log cabin","a metal plane","an aluminium cup","a tin can"],"answer":"A","correct_option":"a log cabin","explanation":"","dataset":"science"}
{"question":"some birds are pollinators that co-evolved with what?","options":["potatoes","bushes","Oak","seeds"],"answer":"B","correct_option":"bushes","explanation":"some birds are pollinators that co-evolved with bushes","dataset":"qasc"}
{"question":"The sum of the ages of 4 children is 52 years. The age of the youngest child is 4. If the intervals of years each born is same find the interval?","options":["4","8","10","6"],"answer":"D","correct_option":"6","explanation":"Explanation:\nLet the interval is x .The youngest child's age is 4. Each of the other 3 children will then be 4+x, 4+2x, 4+3x\nWe know that the sum of their ages is 52 .\nso, 4+(4+x)+(4+2x)+(4+3x) = 52\nx= 6\nAnswer: D","dataset":"aqua_rat"}
{"question":"Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.9000. How much third person will get?","options":["2400","4000","2699","2662"],"answer":"B","correct_option":"4000","explanation":"First persons investment = x\nSecond persons investment = x + 1000\nThird persons investments = x + 2000\nx + x + 1000 + x + 2000 = 9000\n3x = 9000\nx = 2000\nRatio = 2000 : 3000 : 4000\n2:3:4\n4\/9 * 9000 = 4000\nAnswer: B","dataset":"aqua_rat"}
{"question":"A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?","options":["240","288","665","199"],"answer":"A","correct_option":"240","explanation":"S = 600\/40 = 15 mps\nS = 3600\/15 = 240 sec\n= 4 min\nAnswer: A","dataset":"aqua_rat"}
{"question":"Raju age after 45 years will be 5 times his age 5 years back, What is the present age of Raju","options":["28.5","17.2","10.2","17.5"],"answer":"D","correct_option":"17.5","explanation":"Clearly,\nx+45 = 5(x-5)\n<=> 4x = 70 => x = 17.5\nAnswer:D","dataset":"aqua_rat"}
{"question":"Three unbiased coins are tossed. What is the probability of getting at least 2 tails?","options":["0.75","0.5","0.25","0.2"],"answer":"B","correct_option":"0.5","explanation":"EXPLANATION:\nS = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}\nE = {HTT, THT, TTH, TTT}\nn(S) = 8\nn(E) = 4\nP(E) =n(E) \/ n(S) = 4\/8 = 0.5\nANSWER IS B","dataset":"aqua_rat"}
{"question":"30 carrots on a scale weigh 5.94 kg. When 3 carrots are removed from the scale, the average weight of the 27 carrots is 200 grams. What is the average weight (in grams) of the 3 carrots which were removed?","options":["165","170","175","180"],"answer":"D","correct_option":"180","explanation":"27*200=5400.\nThe other 3 carrots weigh a total of 540 grams.\nThe average weight is 540\/3 = 180 grams.\nThe answer is D.","dataset":"aqua_rat"}
{"question":"In a game, a person is declared winner, if he gets 4 consecutive tails in five throws of a coin. What is the probability of A to win if he has got a tail in the first throw?","options":["1\/5","1\/4","1\/8","1\/16"],"answer":"C","correct_option":"1\/8","explanation":"First throw = Tails\nFor a person to win, the next 3 throws must be tails and the 5th throw can be heads or tails. i.e. TTTTH or TTTTT\nSo the person can win in 2 ways if the first throw is Tails.\nTotal number of outcomes for the next 4 throws = 2^4 = 16\nProbability = 2\/16 = 1\/8\nAnswer: C","dataset":"aqua_rat"}
{"question":"Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $50 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?","options":["$752","$755","$765","$788"],"answer":"D","correct_option":"$788","explanation":"= (750*6+ 800 *20)\/26\n= 788\nAnswer is D.\nPosted from my mobile device","dataset":"aqua_rat"}
{"question":"A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set?","options":["33","35","38","48"],"answer":"D","correct_option":"48","explanation":"The average of 7 numbers is 23 --> the sum of these numbers is 7*23=161;\nThe median of 7 numbers is 23 --> 23 is the middle term: {*, *, *, 23, *, *, *};\nThe largest value is equal to 15 more than 4 times the smallest number --> say the smallest number is x then the largest number would be 4x+15, so our set is {x, *, *, 23, *, *, 4x+15};\nNow, in order to maximize the range we need to make the second and the third numbers equal to x and the fifth and sixth numbers equal to 23, so the set should be {x, x, x, 23, 23, 23, 4x+15}.\nSince the sum is 161 then x+x+x+23+23+23+4x+15=161 --> x=11.\nThe range is (4x+15)-x=3x+15=48.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"The source of a type of energy we use is a","options":["planet","star","meteor","rock"],"answer":"B","correct_option":"star","explanation":"","dataset":"science"}
{"question":"In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 40, the dividend is:","options":["A)5322","B)5330","C)4040","D)5340"],"answer":"C","correct_option":"C)4040","explanation":"Divisor = (5 * 40) = 200\n= 10 * Quotient = Divisor\n=> Quotient = 200\/10 = 20\nDividend = (Divisor * Quotient) + Remainder\nDividend = (200 * 20) + 40 = 4040.\nC","dataset":"aqua_rat"}
{"question":"Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?","options":["1261","1632","9177","1682"],"answer":"A","correct_option":"1261","explanation":"A = 8000(21\/20)3\n= 9261\n= 8000\n---------\n1261\nAnswer:A","dataset":"aqua_rat"}
{"question":"The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 140?","options":["3","6","28","42"],"answer":"C","correct_option":"28","explanation":"n includes the factors 2^2 (but not 2^3) and 3 (but not 3^2 or 5)\n140 = 4*5*7\nThe GCF could be 4 or 28\nThe answer is C.","dataset":"aqua_rat"}
{"question":"For integers x and y, if (x+2)(y+3) is even then 4xy must be divisible by:","options":["4","8","9","10"],"answer":"A","correct_option":"4","explanation":"Just looking at the question, (x+2)(y+3) could be even*even, odd*even, or even*odd in order for the whole expression to be even.\nHowever, just looking at 4xy, since x*y will always be an integer, it will always be divisible by 4. 4 divided by 4 is 1, hence preserving x*y.\nAnswer: A. 4","dataset":"aqua_rat"}
{"question":"Hazardous waste is material that is toxic, chemically active, corrosive, or what?","options":["organic","decomposed","inactive","flammable"],"answer":"D","correct_option":"flammable","explanation":"Hazardous waste is material that is toxic, chemically active, corrosive, or flammable.","dataset":"science"}
{"question":"Tom invested Rs. 15000 @ 8% per annum for two years. If the interest is compounded half-yearly, then the amount received by Tom at the end of the year will be?","options":["17,546.75","17,547.40","17,547.88","17,548.32"],"answer":"C","correct_option":"17,547.88","explanation":"P = Rs. 15000; R = 8% p.a. = 4% per half-year; T = 2 years = 4 half-year\nAmount = [15000 * (1 + 4\/100)4]\n= (15000 * (1.04)4) = Rs. 17547.88\nAnswer: C","dataset":"aqua_rat"}
{"question":"In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = b is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-b, -k), then what are the coordinates of the point P?","options":["(-5b, -5k)","(-3b, -3k)","(2b, 2k)","(3b, 3k)"],"answer":"D","correct_option":"(3b, 3k)","explanation":"firstly the Question tells us that RQ and PQ are perpendicular at Q..\nNow the coordinates of the point R are (-b, -k), so R is at a distance of 2b from line x and at dist of 2k from line Y..\nas line X bisect RQ .... length of RQ =4b and coord (3b,-k)..\nas line Y bisect PQ .... length of PQ =4k and coord (3b,3k).ans D","dataset":"aqua_rat"}
{"question":"what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ?","options":["1 or 7","3 or 21","4 or 28","2 or 14"],"answer":"C","correct_option":"4 or 28","explanation":"since the chord length=2sqrrt(r^2-d^2)\nchord length=32,r=20 then we get d=12\nchord length=24,r=20 then we get d=16\nthen we add\/subtract we get 4 or 28\nANSWER:C","dataset":"aqua_rat"}
{"question":"What is the smallest integer k for which 64^k > 4^16?","options":["4","5","6","7"],"answer":"C","correct_option":"6","explanation":"64^k > 4^16\n4^(3k) > 4^16\n3k > 16\nk = 6\nThe answer is C.","dataset":"aqua_rat"}
{"question":"What is the leastvalue of x. So that 23x57 is divisible by 3?","options":["3","4","1","5"],"answer":"C","correct_option":"1","explanation":"The sum of the digits of the number is divisible by 3, then the number is divisible by3.\n2 + 3 + x + 5 + 7 = 17 + x\nLeast value of x may be 1\nTherefore 17 + 1 = 18 is divisible by 3.\nC","dataset":"aqua_rat"}
{"question":"-64x29+165=?","options":["2436","2801","-2801","-1601"],"answer":"D","correct_option":"-1601","explanation":"Given exp.=-64x(30-1)+165\n=-(64x30)+64+165\n=-1830+229\n=-1601\nAnswer is D","dataset":"aqua_rat"}
{"question":"Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 4 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?","options":["2","2.5","3","3.25"],"answer":"C","correct_option":"3","explanation":"Let the distance to the top be x, so the total distance traveled by Natasha is 2x.\nThe total time is 4 + 2 = 6 hours\nThe average speed = total distance\/total time taken = 2x\/6 = x\/3\nThe average speed of the complete journey is 4 km\/hour\nx\/3 = 4\nx = 12 km\nThe average speed while climbing = distance\/time = 12\/4 = 3 km\/h\nThe answer is C.","dataset":"aqua_rat"}
{"question":"What object would be most attracted to a magnet?","options":["A feather","A brush","A pillow","A zipper"],"answer":"D","correct_option":"A zipper","explanation":"","dataset":"science"}
{"question":"What are connected to structural and functional units of the nervous system?","options":["eardrum","axons","bacteria","cilia"],"answer":"B","correct_option":"axons","explanation":"axons are connected to structural and functional units of the nervous system","dataset":"qasc"}
{"question":"In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.36, the number of 25 paisa coins is?","options":["30","36","32","34"],"answer":"B","correct_option":"36","explanation":"5x 6x 2x\n50 25 100\n250x + 150x + 200x = 3600\n600x = 3600\nx = 6 => 6x = 36\nANSWER:B","dataset":"aqua_rat"}
{"question":"There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total Q of the book?","options":["3003","3027","3024","3021"],"answer":"A","correct_option":"3003","explanation":"First, you have to find the common ratio for all 3 books. You have:\nP:C:B\n3:2 --> multiply by 2 (gives you row 3)\n4:6\n6:4:3\nHence:\nP:C:B:T(Total)=Q\n6:4:3:13 ----> This means, the Total Number must be a multiple of 13.\nAnswer A is correct since 299 is divisible by 13, hence is 2990 and so is 3003 (2990+13).","dataset":"aqua_rat"}
{"question":"Of 100 apples in a tree, 30 percent are green. How many red apples must be picked in order to bring the number of green apples up to 50 percent of the apples in the tree?","options":["40","50","30","70"],"answer":"A","correct_option":"40","explanation":"Now, there are 30 green apples (30% of 100) and 100-30=70 red apples in the tree. We need there to be 30 green apples and 30 red apples, in this case there will be 50% green apples and 50% red apples.\nTherefore 70-30=40 red apples must be picked.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"The sun is good for","options":["Brownies","Envrionments","Buildings","Cars"],"answer":"B","correct_option":"Envrionments","explanation":"","dataset":"science"}
{"question":"If two pipes function simultaneously the reservoir will be filled in 12 hours, one pipe fills the reservoir 10 hours faster than the other. How many hours it takes the second pipe to fill the reservoir?","options":["15 hours","18 hours","30 hours","20 hours"],"answer":"C","correct_option":"30 hours","explanation":"C\n30 hours","dataset":"aqua_rat"}
{"question":"The average age of 12 men in a group is increased by 2 years when two men whose ages are 20 years and 22 years, are replaced by new members. What is the average age of the new men included?","options":["22","767","77","33"],"answer":"D","correct_option":"33","explanation":"Explanation:\nTotal age of two men replaced = 20 + 22 = 42 years\nTotal increase in age on replacement = 2 \u00d7 12 = 24 years\nTotal age two new persons included = 42 + 24 = 66 years\nTherefore, Average age of new persons = 66\/2 = 33 years\nAnswer:D","dataset":"aqua_rat"}
{"question":"The radial artery and which artery parallel their namesake bones, giving off smaller branches until they reach the wrist, or carpal region?","options":["biceps","ulnar","humerus","triceps"],"answer":"B","correct_option":"ulnar","explanation":"Arteries Serving the Upper Limbs As the subclavian artery exits the thorax into the axillary region, it is renamed the axillary artery. Although it does branch and supply blood to the region near the head of the humerus (via the humeral circumflex arteries), the majority of the vessel continues into the upper arm, or brachium, and becomes the brachial artery (Figure 20.31). The brachial artery supplies blood to much of the brachial region and divides at the elbow into several smaller branches, including the deep brachial arteries, which provide blood to the posterior surface of the arm, and the ulnar collateral arteries, which supply blood to the region of the elbow. As the brachial artery approaches the coronoid fossa, it bifurcates into the radial and ulnar arteries, which continue into the forearm, or antebrachium. The radial artery and ulnar artery parallel their namesake bones, giving off smaller branches until they reach the wrist, or carpal region. At this level, they fuse to form the superficial and deep palmar arches that supply blood to the hand, as well as the digital arteries that supply blood to the digits. Figure 20.32 shows the distribution of systemic arteries from the heart into the upper limb. Table 20.9 summarizes the arteries serving the upper limbs.","dataset":"science"}
{"question":"In the parking lot there are 44 vehicles, 24 of them are buses, and the rest are cars. The color of 24 vehicles is red, of which 18 are buses. How many cars can be found in the parking lot which are not colored red?","options":["11","12","13","14"],"answer":"D","correct_option":"14","explanation":"The number of cars is 44-24 = 20.\nThe number of red cars is 24-18=6.\nThe number of cars which are not red is 20-6=14.\nThe answer is D.","dataset":"aqua_rat"}
{"question":"If |4x+10| = 46, what is the sum of all the possible values of x?","options":["2","-2","4","-5"],"answer":"D","correct_option":"-5","explanation":"There will be two cases\n4x+10= 46 or 4x+10 = -46\n=> x =9 or x= -14\nsum of both the values will be -14 +9 = -5\nAnswer is D","dataset":"aqua_rat"}
{"question":"40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?","options":["390","405","408","415"],"answer":"C","correct_option":"408","explanation":"Solution:\nLet X be the number of employees.\nWe are given that 40% of the employees are workers. Now, 40% of X is (40\/100)*X =0.4X.\nHence, the number of workers is 2X\/5.\nAll the remaining employees are executives, so the number of executives equals,\n(The number of Employees)\u2013(The number of Workers),\n= X\u2013(2X\/5)\n=(3X\/5)\nThe annual income of each worker is Rs. 390.\nHence, the total annual income of all the workers together is,\n= (2X\/5)*390 =156X.\nAlso, the annual income of each executive is Rs. 420. Hence, the total income of all the executives together is,\n(3X\/5)\u00d7420 =252X\nHence, the total income of the employees is,\n= 156X +252X =408X.\nThe average income of all the employees together equals,\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?","options":["22","18","12","88"],"answer":"C","correct_option":"12","explanation":"100 ---- 200 ---- 4\n400 ---- 4\n800 ---- 4\n------\n12 years\nAnswer: C","dataset":"aqua_rat"}
{"question":"A boat can move upstream at 32 kmph and downstream at 30 kmph, then the speed of the current is?","options":["5","9","1","9"],"answer":"C","correct_option":"1","explanation":"US = 32\nDS = 30\nM = (32 - 30)\/2 = 1\nAnswer: C","dataset":"aqua_rat"}
{"question":"Which of the following is closer to (20!+19!)\/(20!-19!)?","options":["11","13","1","3"],"answer":"C","correct_option":"1","explanation":"Notice that 20! = (20)(19!),\n(20!+19!)*(20!-19!)=[19!(20+1)]*[19!(20-1)]\n= 21\/19\n\u2248 1\nAnswer: C","dataset":"aqua_rat"}
{"question":"How many bricks each measuring 21cm x 10cm x 8cm, will be needed to build a wall 9m x 5m x 18.5m","options":["4955","4899","4650","7200"],"answer":"A","correct_option":"4955","explanation":"Explanation:\nno. of bricks= volume of the wall\/volume of 1 brick = (900 x 500 x 18.5) \/ (21 x 10 x 8) = 4955\nAnswer: A","dataset":"aqua_rat"}
{"question":"Which system of the body is responsible for bringing air into the body?","options":["digestive system","excretory system","vascular system","respiratory system"],"answer":"D","correct_option":"respiratory system","explanation":"We breathe because we need oxygen. Breathing also releases carbon dioxide from our bodies into the air. The respiratory system is the body system that brings air containing oxygen into the body and releases carbon dioxide into the atmosphere. Recall that oxygen is needed to make ATP.","dataset":"science"}
{"question":"Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor?","options":["5!\/5^5","5^5\/5!","5\/5!","5\/5^5"],"answer":"A","correct_option":"5!\/5^5","explanation":"Each person out of 5 has 5 options, hence total # of outcomes is 5^5;\nFavorable outcomes will be 5!, which is # of ways to assign 5 different buttons to 5 people\nSo basically # of arrangements of 5 distinct objects: 5!.\nP=favorable\/total=5!\/5^5\nAnswer: A.","dataset":"aqua_rat"}
{"question":"If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?","options":["550","551","560","561"],"answer":"D","correct_option":"561","explanation":"This is a perfect example of why you should not use formulas without understanding them properly. If you understand them, you will not make a mistake and will save time.\nThe formula quoted by the original poster: n(n+1) is absolutely fine. But one needs to understand that n is the number of even terms starting from the first even term. (I discuss why this is so here:\nSum of even numbers from 40 to 60 using this formula will be:\n30*31 - 19*20 = 10(3*31 - 19*2) = 550\nSince number of terms is 11, required sum is 561\nBut, I would not use this formula for this question and would do it the way many of you have done:\nAverage = 50 (it is the middle number), Number of terms = 11 (No formula again. Any 10 consecutive integers have 5 even and 5 odd numbers. 41 to 60 will have 10 even integers and 40 is the 11th one)\nSum = 50*11 + 11 = 561\nanswer is D","dataset":"aqua_rat"}
{"question":"A salesman\u00e2\u20ac\u2122s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 700 more than that by the previous schema, his sales were worth?","options":["s. 8,000","s. 9,000","s. 20,000","s.10,000"],"answer":"A","correct_option":"s. 8,000","explanation":"[1000 + (X-4000) * (2.5\/100)] - X * (5\/100) = 700\nX = 8000\nANSWER A","dataset":"aqua_rat"}
{"question":"Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.","options":["2:1","1:2","1:1","4:3"],"answer":"D","correct_option":"4:3","explanation":"Explanation:\n5% of A + 4% of B\n=2\/3(6% of A + 8% of B)\nA\/B=4\/3\nA : B = 4 : 3\nANSWER IS D","dataset":"aqua_rat"}
{"question":"The banker's discount on a sum of money for 1 1\/2 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:","options":["10%","13%","12%","15%"],"answer":"C","correct_option":"12%","explanation":"B.D. for 3\/2 years\t= Rs. 558.\nB.D. for 2 years\n= Rs.(558 x 2\/3 x 2)\n= Rs. 744\nT.D. for 2 years = Rs. 600.\nTherefore, Sum = B.D. x T.D.\/B.D. - T.D\n= Rs. (744 x 600\/144\t)= Rs. 3100.\nThus, Rs. 744 is S.I. on Rs. 3100 for 2 years.\nTherefore, Rate =(100 x 744\/3100 x 2)%\n= 12%\nAnswer is C","dataset":"aqua_rat"}
{"question":"If x, y, and a are positive numbers such that 10*x\/(x+y)+ 20*y\/(x+y)=a and if x is less than y, which of the following could be the value of a?","options":["10","12","15","18"],"answer":"D","correct_option":"18","explanation":"Answer choice C: a= 15\n(10x + 20y)\/(x+y) = 15\n10x + 20y = 15x + 15y\n5y = 5x\ny = x\nDoesn't work because the problem states that x<y.\nWe need y to be larger, so let's try answer choice D: a=18\n10x + 20y = 18x + 18y\n2y = 8x\ny\/x = 8\/2\nSuccess! x<y.\nThe correct answer is D.","dataset":"aqua_rat"}
{"question":"A can do a piece of work in 15 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?","options":["11 6\/7days","12 6\/7days","13 6\/7days","14 6\/7days"],"answer":"B","correct_option":"12 6\/7days","explanation":"8\/15 + 6\/x = 1\nX = 12 6\/7days\nANSWER:B","dataset":"aqua_rat"}
{"question":"Each side of a rectangle is increased by 100% .By what percentage does the area increase?","options":["300%","400%","500%","200%"],"answer":"A","correct_option":"300%","explanation":"original area=a*b where a and b are sides\nafter increase in side increase in area will be=(((2a*2b)-(a*b))*100)\/(a*b)=300%\nANSWER:A","dataset":"aqua_rat"}
{"question":"If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number D of integers that can be negative?","options":["2","3","4","5"],"answer":"D","correct_option":"5","explanation":"Minimuum should be 1\nMaximum should be 4:\n1 out of a or b to make the multiplication negative\n3 out of c, d, e or f to make the multiplication negative.\nNegative+Negative<0\nAnswer:C\nmaximum will be 5..\nyou dont require both the multiplicatin to be negative for entire equation to be negative...\nany one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...\nactually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see D=5 or 1 will give you same equation..\nans D","dataset":"aqua_rat"}
{"question":"One fourth of one third of two fifth of a number is 20. What will be40% of that number","options":["240","150","180","200"],"answer":"A","correct_option":"240","explanation":"Explanation:\n(1\/4) * (1\/3) * (2\/5) * x = 20 then x = 20 * 30 = 600\n40% of 600 = 240\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?","options":["1: 96","1: 99","1: 94","1: 92"],"answer":"A","correct_option":"1: 96","explanation":"Let the length and the breadth of the rectangle be 4x cm and 3x respectively.\n(4x)(3x) = 6912\n12x2 = 6912\nx2 = 576 = 4 * 144 = 22 * 122 (x > 0)\n=> x = 2 * 12 = 24\nRatio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.\nAnswer: A","dataset":"aqua_rat"}
{"question":"Chirag was conducting an experiment in which the average of 11 observation came to be 90. Average of first five observation was 87, and that of the last five was 84. What was the measure of the 6th observation?","options":["165","125","145","135"],"answer":"D","correct_option":"135","explanation":"Explanation :\n11 * 90 - 5 * 87 - 5 * 84 = 900 - 435 - 420 = 135.\nAnswer : D","dataset":"aqua_rat"}
{"question":"7 speakers gathered to deliver speeches on two topics. Even though 7 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?","options":["2","49","50","47"],"answer":"B","correct_option":"49","explanation":"1)there are 7 speeches in ONE topic and 7 in OTHER..\n2)there is a specific order for topics, so\na) both the topics are to be spoken on- so ONE from each\nb) the order does not matter since there is ONLY one specific order..\nso 7C1\u22177C1=7\u22177=49\nANSWER:B","dataset":"aqua_rat"}
{"question":"Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 742.","options":["120 ,122 , 124 ,126","120 ,122 , 124 ,128","120 ,121 , 122 ,123","123 ,125 , 127 ,129"],"answer":"A","correct_option":"120 ,122 , 124 ,126","explanation":"Let x, x + 2, x + 4 and x + 6 be the four integers. The sum of the first two\nx + (x + 2)\ntwice the sum of the last two is written as\n2 ((x + 4) + (x + 6)) = 4 x + 20\nsum of the first two added to twice the sum of the last two is equal to 742 is written as\nx + (x + 2) + 4 x + 20 = 742\nSolve for x and find all four numbers\nx = 120 , x + 2 = 122 , x + 4 = 124 , x + 6 = 126\nAnswer A","dataset":"aqua_rat"}
{"question":"An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?","options":["677 km\/hr","720 km\/hr","790 km\/hr","800 km\/hr"],"answer":"B","correct_option":"720 km\/hr","explanation":"Distance = (240 x 5) = 1200 km.\nSpeed = Distance\/Time\nSpeed = 1200\/(5\/3) km\/hr. [We can write 1 hours as 5\/3 hours]\nRequired speed = 1200 x 3 km\/hr = 720 km\/hr.\nB","dataset":"aqua_rat"}
{"question":"in the presence heat, which of these comes about?","options":["a piece of gum","a slurpy at the cafeteria","an ice cream cone","a large metamorphic rock"],"answer":"D","correct_option":"a large metamorphic rock","explanation":"","dataset":"science"}
{"question":"A 70 cm long wire is to be cut into two pieces so that one piece will be 2\/5th of the other, how many centimeters will the shorter piece be?","options":["12","20","88","77"],"answer":"B","correct_option":"20","explanation":"1: 2\/5 = 5: 2\n2\/7 * 70 = 20\nAnswer: B","dataset":"aqua_rat"}
{"question":"If P(A) = 2\/15, P(B) = 4\/15, and P(A \u222a B) = 6\/15 Find P(A|B)","options":["1\/2","2\/3","3\/2","4\/5"],"answer":"C","correct_option":"3\/2","explanation":"P(A|B) = P(A \u222a B)\/P(B)\nP(A|B) = (6\/15)\/(4\/15) = 3\/2.\nC","dataset":"aqua_rat"}
{"question":"Bobby had a new toy. It had lots of buttons on it. One of the buttons had a picture of a cow on it and every time Bobby pushed that button the toy would make a mooing noise. That's because","options":["a circuit was opened up when he pressed the button","His new toy was possessed","a cow was inside of the toy","a circuit was made intact when the button was pressed"],"answer":"D","correct_option":"a circuit was made intact when the button was pressed","explanation":"","dataset":"science"}
{"question":"What is it called when pollen from one plant fertilizes another plant of the same species?","options":["cross - vegetation","cross-typing","cross-pollination","cross-breeding"],"answer":"C","correct_option":"cross-pollination","explanation":"Pea plants are naturally self-pollinating. In self-pollination , pollen grains from anthers on one plant are transferred to stigmas of flowers on the same plant. Mendel was interested in the offspring of two different parent plants, so he had to prevent self-pollination. He removed the anthers from the flowers of some of the plants in his experiments. Then he pollinated them by hand with pollen from other parent plants of his choice. When pollen from one plant fertilizes another plant of the same species, it is called cross-pollination . The offspring that result from such a cross are called hybrids.","dataset":"science"}
{"question":"If a person wants to help the environment, that person should","options":["leave the faucet open.","watch a lot of TV","reuse pieces of paper","buy a new car"],"answer":"C","correct_option":"reuse pieces of paper","explanation":"","dataset":"science"}
{"question":"up to 20,how many no. are odd and prime both?","options":["9","5","6","7"],"answer":"D","correct_option":"7","explanation":"we have to calculate it manually.\nodd 1,3,5,7,9,11,13,15,17,19\nprime 2,3,5,7,11,13,17,19\ncommon 3,5,7,11,13,17,19\ntotal no. 7\nanswer D","dataset":"aqua_rat"}
{"question":"Three pieces of timber 30 m, 35 m and 45 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?","options":["7 m","4 m","5 m","6 m"],"answer":"C","correct_option":"5 m","explanation":"Answer\nGreatest possible length of each plank = H.C.F of 30, 35, 45 = 5 m\nCorrect Option: C","dataset":"aqua_rat"}
{"question":"Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.","options":["45","47","49","42"],"answer":"A","correct_option":"45","explanation":"Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.\n495 = 3^2 x 5 x 11, 900 = 2^2 x 3^2 x 5^2, 1665 = 3^2 x 5 x 37.\nTherefore, H.C.F. = 32 x 5 = 45.\nHence, required length = 45 cm.\nAnswer is A.","dataset":"aqua_rat"}
{"question":"A man on tour travels first 160 km at 64 km\/he and the next 160 km at 80 km\/hr. The average speed for the first 320 km of the tour is?","options":["71.61 km\/hr","71.11 km\/hr","71.18 km\/hr","77.11 km\/hr"],"answer":"B","correct_option":"71.11 km\/hr","explanation":"Total time taken = (160\/64 + 160\/8) = 9\/2 hrs.\nAverage speed = 320 * 2\/9\n=71.11 km\/hr.\nAnswer:B","dataset":"aqua_rat"}
{"question":"One-third less than 15% of 180 is equal to:","options":["18","30","35","40"],"answer":"A","correct_option":"18","explanation":"Lots of ways to tackle this.\n15% of 180 =27\n1\/3 of 27= 9\nSo, 1\/3less than 27 is equal to 27- 9 = 18\nAnswer: A","dataset":"aqua_rat"}
{"question":"Last year, the price per transaction of certain company increases P percent from the year before, and the number of transactions increase N percent from the year before. Total revenue is simply the number of transactions times the price per transaction. Assume this one transaction is this company's only source of revenue. Which of the following is the percent increase in revenue last year, from the year before?","options":["P\u2217N %","(P+N)","(P+N+P\u2217N\/100) %","(P+N-P\u2217N\/100) %"],"answer":"D","correct_option":"(P+N-P\u2217N\/100) %","explanation":"Assume\nx = price per transaction for previous year\ny = price per transaction for this year\nRelationship between x and y\ny =x (1+P\/100)\nSimilarly, if\nn1= no. of transactions for last year\nn2 = no. of transactions for this year\nn2 = n1(1+N\/100)\nNow, the question is [(n2y- n1x) \/n1x] * 100\nn2y = n1x(1+P\/100)(1+N\/100)\nSo, [(n2y - n1x)\/n1x] * 100 = (n1x[(1+P\/100) (1+N\/100) - 1]\/ n1x) * 100\nD is the answer.","dataset":"aqua_rat"}
{"question":"Find the sum 3\/10 + 5\/100 + 8\/1000 in decimal form ?","options":["0.853","0.358","3.58","8.35"],"answer":"B","correct_option":"0.358","explanation":"Answer\n3\/10 + 5\/100 + 8\/1000\n= 0.3 + 0.05 + 0.008\n= 0.358\nCorrect Option: B","dataset":"aqua_rat"}
{"question":"A river 2m deep and 45 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?","options":["6000 M3","4580 M3","18500 M3","4900 M3"],"answer":"A","correct_option":"6000 M3","explanation":"Explanation:\n(4000 * 2 * 45)\/60 = 6000 M3\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?","options":["7","6","5","4"],"answer":"A","correct_option":"7","explanation":"(Rajiv +venky+ravi) 2 days work= 2(1\/10+1\/12+1\/15)=1\/2\nravi works alone for last 3 days = 3*1\/15=1\/5\ntotal work 1\/2+1\/5=7\/10\nremaining work=1-7\/10=3\/10\n(venky+ravi) 1 days work=1\/12+1\/15=9\/60=3\/20\n3\/10 work will be done by venky and ravi in 3\/10*20\/3=2 days\ntotal days is the work completed= 2+3+2=7 days\nANSWER:A","dataset":"aqua_rat"}
{"question":"From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary?","options":["6000","3788","9009","6788"],"answer":"A","correct_option":"6000","explanation":"Suppose his total salary be Rs.x, then\n90% of 85% of 90% of x = 4131\n\\inline \\Rightarrow \\frac{90}{100}\\times \\frac{85}{100}\\times \\frac{90}{100}\\times x=4131\n\\inline \\therefore x=\\frac{4131\\times 100\\times 100\\times 100}{90\\times 85\\times 90}=6000\nHence , the salary of the officer is Rs.6000\nAnswer:A","dataset":"aqua_rat"}
{"question":"Double-replacement reactions generally occur between substances in what kind of solution?","options":["saline","reactive","aqueous","solid"],"answer":"C","correct_option":"aqueous","explanation":"In this reaction, and are positively-charged cations, while and are negatively-charged anions. Double-replacement reactions generally occur between substances in aqueous solution. In order for a reaction to occur, one of the products is usually a solid precipitate, a gas, or a molecular compound such as water.","dataset":"science"}
{"question":"The weights of three bags are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest bag is 45 kg more than the weight of the third bag, what is the weight of the lightest bag?","options":["45kg","38kg","66kg","36kg"],"answer":"D","correct_option":"36kg","explanation":"Let the weights of the three boys be 4k, 5k and 6k respectively.\n4k + 6k = 5k + 45\n=> 5k = 45 => k = 9\nTherefore the weight of the lightest boy\n= 4k = 4(9) = 36 kg.\nANSWER:D","dataset":"aqua_rat"}
{"question":"The number of meters in WB is equal to the square root of the number of centimeters in WB. What is the length of WB (1 meter=100 centimeters)?","options":["100 meters","10 meters","100 centimeters","10 centimeter"],"answer":"A","correct_option":"100 meters","explanation":"I'd plug in the options for this question.\nCheck option A: if the number of meters in WB is 100, then the number of centimeters is 100*100. The square root of 100*100 is 100: 100 = 100.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"If x+y=2z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?","options":["2z+1","3z","5z","z"],"answer":"D","correct_option":"z","explanation":"Pick any number like X=12, Y=10 and Z= 11 so that X+Y=2Z, now then the arithmetic mean will be (12+10+11)\/3=11. Now, just look at the answers and put the value of Z there.\n(A) 2.11+1=23, no.\n(B) 3.11=33,no\n(C) 5.11=55, no\n(D) 11, it can be the answer, lets check us the other options\n(E) (3.2)\/2=3, no\nso the answer will be D..","dataset":"aqua_rat"}
{"question":"Average of first five multiples of 8 is","options":["9","11","24","15"],"answer":"C","correct_option":"24","explanation":"Explanation:\nAverage=8(1+2+3+4+5)\/5=24\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 600. What is the manager's monthly salary ?","options":["Rs.16003","Rs.16029","Rs.11288","Rs.14100"],"answer":"D","correct_option":"Rs.14100","explanation":"Explanation:\nManager's monthly salary Rs. (2100 * 21 - 1500 * 20) = Rs.14100.\nAnswer: D","dataset":"aqua_rat"}
{"question":"The length of the bridge, which a train 130 meters long and travelling at 45 km\/hr can cross in 30 seconds, is?","options":["267 m","256 m","245 m","627 m"],"answer":"C","correct_option":"245 m","explanation":"Speed\n= (45 * 5\/18) m\/sec = (25\/2) m\/sec. Time\n= 30 sec. Let the length of bridge be x meters. Then, (130 + X)\/30 = 25\/2 ==> 2(130 + X)\n= 750 ==> X\n= 245 m.\nAnswer: C","dataset":"aqua_rat"}
{"question":"A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 3 days. How many more days are required to complete the remaining work if they work together?","options":["3 (5\/18)","3 (5\/16)","2 (5\/11)","3 (5\/13)"],"answer":"C","correct_option":"2 (5\/11)","explanation":"A can do 1\/10 of the work in a day.\nB can do 1\/12 of the work in a 1 day.\nBoth of them together can do (1\/10 + 1\/12) part of work in 1 day = (6 + 5)\/60 = 11\/60\nThey take 60\/11 days to complete the work together.\nGiven that they already worked for 3 days.\nThe number of days required to complete remaining work => 60\/11 - 3 = 27\/11 = 2 (5\/11) days.\nAnswer:C","dataset":"aqua_rat"}
{"question":"In a straight highway 2 cars starts from the same point in opposite directions each travels for 8 Kms and take left turn then travel for 6 Kms what is the distance between them now.","options":["16","20","25","10"],"answer":"B","correct_option":"20","explanation":"use pythagoras theorem\nc^2=a^2+b^2\n=8^2+6^2 =64+36\nc^2=100\nc=10\nthe distance between A and B is (10+10)=20\nANSWER:B","dataset":"aqua_rat"}
{"question":"The energy a chemical reaction needs to get started is called what kind of energy?","options":["fusion","conduction","activation","function"],"answer":"C","correct_option":"activation","explanation":"All chemical reactions, even exothermic reactions, need a certain amount of energy to get started. This energy is called activation energy . For example, activation energy is needed to start a car. Turning the key causes a spark that activates the burning of gasoline in the engine. The combustion of gas won\u2019t occur without the spark of energy to begin the reaction.","dataset":"science"}
{"question":"Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 42 kmph. For how many minutes does the bus stop per hour?","options":["10 min","7 min","8.2 min","9.6 min"],"answer":"D","correct_option":"9.6 min","explanation":"D\n9.6 min\nDue to stoppages, it covers 8 km less.\nTime taken to cover 9 km = (8\/50 x 60) min = 9.6 min","dataset":"aqua_rat"}
{"question":"An exertion on a thing that is going against the thing's intended direction, when in motion will","options":["melt it","oppose it","speed it up","burn it"],"answer":"B","correct_option":"oppose it","explanation":"","dataset":"science"}
{"question":"Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?","options":["Rs.320","Rs.450","Rs.550","Rs.640"],"answer":"C","correct_option":"Rs.550","explanation":"Find Selling Price to gain 10 %.\nNow, we are asked to find selling price to gain 10% profit.\nHint:\nSelling Price = (100 + Gain%) \u00d7 C.P.\n100\nSelling Price = (100 + 10) \u00d7 500\n100\nSelling Price = (110) \u00d7 500\n100\nTherefore, selling Price = Rs.550\nC","dataset":"aqua_rat"}
{"question":"What helps us see rainbows in the sky?","options":["prism","visible light","spectral light","myopia"],"answer":"B","correct_option":"visible light","explanation":"We can see rainbows because they are formed by visible light. Visible light includes all the wavelengths of light that the human eye can detect. It allows us to see objects in the world around us. Without visible light, we would only be able to sense most objects by sound or touch, and we would never see rainbows. Like humans, most other organisms also depend on visible light, either directly or indirectly. Many animals use it to see. All plants use it to make food in the process of photosynthesis. Without the food made by plants, most other organisms could not survive.","dataset":"science"}
{"question":"Population is 23000. Population increases by 10% every year, then the population after 3 years is?","options":["26630","26640","36623","30613"],"answer":"D","correct_option":"30613","explanation":"population after 1st year = 23000*10\/100 = 2300 ===> 23000+2000 = 25300\npopulation after 2nd year = 25300*10\/100 = 2530 ===> 25300+2530= 27830\npopulation after 3rd year = 27830*10\/100 = 2783 ===> 27830+2783 = 30613\nANSWER:D","dataset":"aqua_rat"}
{"question":"The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability R that the next couple the maitre 'd seats will not order dessert?","options":["20%","25%","40%","60%"],"answer":"B","correct_option":"25%","explanation":"could you use a venn diagram and just go with the number 100.\n60 people order dessert and coffee... which is the union of D and C.\nR=2\/10 of D aren't in D U C = so 8\/10 of D are in DUC which means =60 =8\/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.\nB 25%","dataset":"aqua_rat"}
{"question":"Find the missing number: ? - 1936248 = 1635773","options":["3572021","3572012","3770221","3570221"],"answer":"B","correct_option":"3572012","explanation":"Let x - 1936248=1635773.\nThen, x = 1635773 + 1936248\n=3572021.\nAnswer is B.","dataset":"aqua_rat"}
{"question":"If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $81, how much does one shirt cost?","options":["$10","$12","$13.20","$21"],"answer":"D","correct_option":"$21","explanation":"3J + 2S = 69\n2J + 3S = 81\n----------------\n5J + 5S = 150 ----(divide by 5)---> J + S = 30\n3J + 2S = J + 2(J + S) = J + 60 = 69 ---> J = 9\n3*9 + 2S = 69\n27 + 2S = 69\n2S = 42\nS = 21\nAnswer: D","dataset":"aqua_rat"}
{"question":"If a(a + 2) = 48 and b(b + 2) = 48, where a \u2260 b, then a + b =","options":["-10","-9","-5","-4"],"answer":"B","correct_option":"-9","explanation":"i.e. if a = 6 then b = -8\nor if a = -8 then b = 6\nBut in each case a+b = -8+6 = -2\nAnswer:B","dataset":"aqua_rat"}
{"question":"Weights of two friends Ram and Shyam are in the ratio 3:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?","options":["18%","10%","21%","16%"],"answer":"A","correct_option":"18%","explanation":"Solution:\ngiven ratio of Ram and Shayam's weight = 3:5\nHence, (x-15)\/(15-10) = 3\/5\nOr, x = 18%.\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"If a - b = 3 and a2 + b2 = 29, find the value of ab?","options":["10","12","14","17"],"answer":"A","correct_option":"10","explanation":"2ab = (a2 + b2) - (a - b)2\n= 29 - 9 = 20\nab = 10\nA)","dataset":"aqua_rat"}
{"question":"Something that died millions of years ago can still be relevant","options":["because we drive cars","because they are in our memories","because we still see them","because we miss them"],"answer":"A","correct_option":"because we drive cars","explanation":"","dataset":"science"}
{"question":"As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers?","options":["4%","12%","16%","20%"],"answer":"A","correct_option":"4%","explanation":"Ans:a)\n1st person has option no's- (1,2,3,4,5) - there fore probability of getting a no = 5c1\/5c1 = 1\n2nd person has option no's any four ,\nhe has to choose a no from four no's - there fore probability of getting a no = 4c1\/5c1 = 4\/5\n3rd person has option no's any three ,\nhe has to choose a no from three no's -there fore probability of getting a no = 3c1\/5c1 = 3\/5\n4th person has option no's any two - there fore probability of getting a no = 2c1\/5c1 = 2\/5\n4th person has option no's only one - there fore probability of getting a no = 1c1\/5c1 = 1\/5\n=1*4\/5*3\/5*2\/5*1\/5 = 4%","dataset":"aqua_rat"}
{"question":"find value for x from below equation? x + 1 = 5","options":["-5","-4","4","3"],"answer":"C","correct_option":"4","explanation":"1. Subtract 1 from both sides:\nx + 1 - 1 = 5 - 1\n2. Simplify both sides:\nx = 4\nC","dataset":"aqua_rat"}
{"question":"Several neuropeptides, relatively short chains of amino acids, serve as neurotransmitters that operate via metabotropic what?","options":["lipids","membranes","receptors","organelles"],"answer":"C","correct_option":"receptors","explanation":"","dataset":"science"}
{"question":"At what rate percent on simple interest will a sum of money double itself in 30 years?","options":["3 1\/3%","3 1\/8%","3 7\/3%","3 1\/7%"],"answer":"A","correct_option":"3 1\/3%","explanation":"P = (P*30*R)\/100\nR = 3 1\/3%\nAnswer: A","dataset":"aqua_rat"}
{"question":"How many two-digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4?\nOptions:","options":["ONE","TWO","THREE","FOUR"],"answer":"D","correct_option":"FOUR","explanation":"Numbers giving remainder 3 when divided by 10 = 13,23, 33,43, 53,63, 73,83, 93\nNumbers giving remainder 3 when divided by 4 = Alternate numbers (coloured in red) = 4\nCorrect Option:\tD","dataset":"aqua_rat"}
{"question":"If 222 = 6\n333 = 12\n444 = 20\nThen, 555 = ??","options":["30","35","40","45"],"answer":"A","correct_option":"30","explanation":"222=2*2+2=6\n333=3*3+3=12\n444=4*4+4=20\n555=5*5+5=30\nANSWER:A","dataset":"aqua_rat"}
{"question":"Ben is driving on the highway at z miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?","options":["5,280(z\/y)","5,280(y\/x)","5,280(xy)","5,280\/(xy)"],"answer":"A","correct_option":"5,280(z\/y)","explanation":"In one hour, at the rate of z miles per hour, Ben covers z miles, so 5,280z feet.\nThe number of revolutions = distance\/circumference = 5,280z\/y.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"Anne bought doughnuts for a class breakfast party. She bought 15 chocolate doughnuts, 12 coconut doughnuts, and 14 jam-filled doughnuts. How many doughnuts did Anne buy in all?","options":["41","36","39","21"],"answer":"A","correct_option":"41","explanation":"Add the numbers of doughnuts.\n15 + 12 + 14 =41.\nAnswer is A.","dataset":"aqua_rat"}
{"question":"A man purchased a grinder for Rs. 640 and sold it at a profit of 15%. The selling price is:","options":["Rs. 736","Rs. 812","Rs. 684","None of these"],"answer":"A","correct_option":"Rs. 736","explanation":"s.p.=115\/100 \u00d7 640=736\nAnswer: A","dataset":"aqua_rat"}
{"question":"If 1< x < 2, which of the following must be true?\nI. x^3 < x^2\nII. x^2 < 2 + x\nIII. x^2 < x^4","options":["I only","I and II only","III only","I and III only"],"answer":"C","correct_option":"III only","explanation":"I. x^3 < x^2 --> for values greater than 1 x^3 > x^2, so this statement is false.\nII. x^2 < 2 + x --> x(x-1) < 2 --> 2*(2-1)= 2 !< 2, so this statement is also false.\nIII. x^2 < x^4 --> for values of x between 1 and 2 x^2< x^4, so this statement is true.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2500 resolutions?","options":["1187 m","1704 m","2179 m","3520 m"],"answer":"D","correct_option":"3520 m","explanation":"In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 2500 resolutions.\n= 2500 * 2 * 22\/7 * 22.4\n= 352000 cm\n= 3520 m\nAnswer:D","dataset":"aqua_rat"}
{"question":"The angles of a triangle are in the ratio 1:3:8. Find the measurement of the three angles of triangle.","options":["90\u00b0","100\u00b0","120\u00b0","140\u00b0"],"answer":"C","correct_option":"120\u00b0","explanation":"If the ratio of the three angles is 1:3:8, then the measures of these angles can be written as x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180\u00b0. Hence\nx + 3x + 8x = 180\nSolve for x\n12x = 180\nx = 15\nThe measures of the three angles are\nx = 15\u00b0\n3x = 3 \u00d7 15 = 45\u00b0\n8x = 8 \u00d7 15 = 120\u00b0\nC","dataset":"aqua_rat"}
{"question":"A cyclist bikes x distance at 12 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?","options":["8.1","8.3","9.6","8.9"],"answer":"C","correct_option":"9.6","explanation":"Distance = d1 = x miles\nSpeed = s1 = 12 miles per hour\nTime = t1 = Distance\/ Speed = x\/12\n2. Going from B to A\nDistance = d2 = x miles\nSpeed = s2 = 8 miles per hour\nTime = t2 = Distance\/ Speed = x\/8\n3. Average Speed = Total Distance\/Total Time\nTotal Distance = x + x = 2x\nTotal Time = x\/12 + x\/8 = x (1\/12 + 1\/8) = =5x\/24\nSpeed = 2x\/(5x\/24) = 48\/5\n= 9.6\nAnswer : C","dataset":"aqua_rat"}
{"question":"The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?","options":["2:5","2:7","4:3","2:4"],"answer":"A","correct_option":"2:5","explanation":"The volume of the cone = (1\/3)\u03c0r2h\nOnly radius (r) and height (h) are varying.\nHence, (1\/3)\u03c0 may be ignored.\nV1\/V2 = r12h1\/r22h2 => 1\/10 = (1)2h1\/(2)2h2\n=> h1\/h2 = 2\/5\ni.e. h1 : h2 = 2 : 5\nAnswer:A","dataset":"aqua_rat"}
{"question":"What kind of charge do iconic compounds have?","options":["net neutral charge","net negative charge","net positive charge","white neutral charge"],"answer":"A","correct_option":"net neutral charge","explanation":"Ionic compounds consist of oppositely charged ions that are held together by ionic bonds. The opposite charges cancel out so ionic compounds have a net neutral charge. Ionic compounds form when metals transfer valence electrons to nonmetals.","dataset":"science"}
{"question":"What color is the brittle metalloid tallurium?","options":["purplish blue","silvery white","brownish black","yellowish green"],"answer":"B","correct_option":"silvery white","explanation":"Tellurium is a silvery white, brittle metalloid. It is toxic and may cause birth defects. Tellurium can conduct electricity when exposed to light, so it is used to make solar panels. It has several other uses as well. For example, it makes steel and copper easier to work with and lends color to ceramics.","dataset":"science"}
{"question":"A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?","options":["600","887","256","650"],"answer":"D","correct_option":"650","explanation":"Cost price = Rs.500\nprofit = 30% of 500 = Rs.150\nSelling price = Cost price + Profit\n= 500 + 150 = 650\nAnswer: D","dataset":"aqua_rat"}
{"question":"3889 + 12.952 - ? = 3854.002","options":["47.95","49.75","45.97","47.59"],"answer":"A","correct_option":"47.95","explanation":"Let 3889 + 12.952 - x = 3854.002.\nThen x = (3889 + 12.952) - 3854.002\n= 3901.952 - 3854.002\n= 47.95.\nAnswer is A","dataset":"aqua_rat"}
{"question":"Virginia, Adrienne, and Dennis have taught history for a combined total of 75 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?","options":["23","34","35","41"],"answer":"B","correct_option":"34","explanation":"Let number of years taught by Virginia = V\nnumber of years taught by Adrienne = A\nnumber of years taught by Dennis = D\nV+A+D = 75\nV= A+9\n=>A = V-9\nV= D-9\n=> A = (D-9)-9 = D-18\nD-9 + D-18 + D = 96\n=> 3D = 75+ 27 = 102\n=> D = 34\nAnswer B","dataset":"aqua_rat"}
{"question":"Find the perimeter of a triangle with sides measuring 5 centimeters,20 centimeters and 30 centimeters.","options":["30cm","40cm","50cm","55cm"],"answer":"D","correct_option":"55cm","explanation":"perimeter of triangle=a+b+c\nPerimeter = 5 cm + 20 cm + 30 cm = 55 cm\nAnswer: D.","dataset":"aqua_rat"}
{"question":"Krista, a personal trainer, is buying energy drinks for her clients. If she has $20 on hand, which of the following options could Krista NOT buy if:\nRock Star = $2.00\nRed Bull = $3.25\nMonster = $2.50\nNOs = 1.25","options":["5 Rock Stars, 2 Red Bulls, 1 Monster & 1 NO's (20.25)","8 Monster's (17.50)","1 Rockstar, 4 Red Bulls & 4 No's (20)","10 Rock Stars (20)"],"answer":"A","correct_option":"5 Rock Stars, 2 Red Bulls, 1 Monster & 1 NO's (20.25)","explanation":"The Correct Answer would exceed the $20 Krista had on hand.\nA= $20.25 (exceeds budget by 25 cents)\nB= $20\nC= $20\nD= $20\nE= $20\nThe Correct answer is A","dataset":"aqua_rat"}
{"question":"30 quintals is what percent of 2 metric tonnes ?","options":["15%","1.5%","150%","30%"],"answer":"C","correct_option":"150%","explanation":"Answer\nRequired percent = {30\/(2 x 10)} x 100 % = 150%\nCorrect Option: C","dataset":"aqua_rat"}
{"question":"Bradley owns b video game cartridges. If Bradley\u2019s total is one-sixth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?","options":["23b \/ 4","25b \/ 4","27b \/ 4","29b \/ 4"],"answer":"D","correct_option":"29b \/ 4","explanation":"b = Bradley\u2019s total\n6b = Andrew\u2019s total\nb\/4 = Charlie\u2019s total\nThe total number of cartridges is:\nb + 6b+ b\/4 = (4b + 24b + b) \/ 4 = 29b \/ 4\nThe answer is D.","dataset":"aqua_rat"}
{"question":"A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120\/- extra, then how much amount he took?","options":["Rs.5500\/-","Rs.6000\/-","Rs.4000\/-","Rs.7000\/-"],"answer":"B","correct_option":"Rs.6000\/-","explanation":"Explanation:\n2 years = Rs.120\/-\nyear = 120\/2\nRate of Interest = 1%\n100\/1% \u00d7 120\/2 = Rs.6000\/-\nP = Rs.6000\/-\nAnswer: Option B","dataset":"aqua_rat"}
{"question":"Within organs, arteries branch into what small vessels that convey blood to the capillaries?","options":["blood valves","arterioles","Metarterioles","aeortic vessels"],"answer":"B","correct_option":"arterioles","explanation":"","dataset":"science"}
{"question":"How many even number in the range between 10 to 100 inclusive are not divisible by 3","options":["15","30","31","33"],"answer":"C","correct_option":"31","explanation":"We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)\nFor 2,\n10,12,14...100\nusing AP formula, we can say 100 = 10 + (n-1) *2\nor n=46.\nFor 6,\n12,18,...96\nusing AP formula, we can say 96 = 12 + (n-1) *6\nor n=15.\nHence, only divisible by 2 but not 3 = 46-15 = 31. hence, Answer C","dataset":"aqua_rat"}
{"question":"A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km\/hr, what is the length of the platform?","options":["299","200","240","111"],"answer":"C","correct_option":"240","explanation":"Speed = [54 * 5\/18] m\/sec = 15 m\/sec.\nLength of the train = (15 * 20) m = 300 m.\nLet the length of the platform be x meters.\nThen, x + 300 \/ 36 = 15\nx + 300 = 540\nx = 240 m. Answer:C","dataset":"aqua_rat"}
{"question":"The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?","options":["4000","345","5673","7248"],"answer":"D","correct_option":"7248","explanation":"Area of the four walls = 2h(l + b)\nSince there are doors and WINDOWS, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.\nTotal cost = 906 * 8 = Rs. 7248\nAnswer: Option D","dataset":"aqua_rat"}
{"question":"What happens before the rigid structure that surrounds the plant cell dilates?","options":["It decreases","competition","air cools","relaxation"],"answer":"D","correct_option":"relaxation","explanation":"Dilation occurs when the rigid structure that surrounds the plant cell relaxes.","dataset":"qasc"}
{"question":"if remainder is 1 , quotient is 54 and dividend is 217 then what is divisor ?","options":["2","4","6","14"],"answer":"B","correct_option":"4","explanation":"we know\ndividend = divisor * quotient + remainder===> 217 = divisor * 54 + 1 =====> 216\/54 = divisor ===> divisor = 4 Ans - B","dataset":"aqua_rat"}
{"question":"How many integers are there between 55 and 108, inclusive?","options":["51","54","56","57"],"answer":"B","correct_option":"54","explanation":"I guess the easiest way to answer this is -\nSay you have two positive integers, x and y where y > x\nThen the number of integers between x and y is given by - (y - x) + 1\nIn this case, it's (108 - 55) + 1 =54. Option B","dataset":"aqua_rat"}
{"question":"What happens to a chain of amino acids after it reaches a stop codon?","options":["released from the ribosome","digestion stops","metabolism begins","stays in ribosome"],"answer":"A","correct_option":"released from the ribosome","explanation":"The chain of amino acids keeps growing until a stop codon is reached. Then the chain is released from the ribosome.","dataset":"science"}
{"question":"What is made of diverse hydrophobic molecules? ","options":["solid, liquid, gas","gastropod shells","fur and fat","Steroid hormones"],"answer":"D","correct_option":"Steroid hormones","explanation":"Steroid hormones are made of diverse hydrophobic molecules","dataset":"qasc"}
{"question":"A train 125 m long passes a man, running at 5 km\/hr in the same direction in which the train is going, in 15 seconds. The speed of the train is?","options":["35","50","88","66"],"answer":"A","correct_option":"35","explanation":"Speed of the train relative to man\n= (125\/15) m\/sec = (25\/3) m\/sec. [(25\/3) * (18\/5)] km\/hr\n= 30 km\/hr. Let the speed of the train be x km\/hr. Then, relative speed = (x - 5) km\/hr. x - 5\n= 30 ==> x\n= 35 km\/hr.\nAnswer:A","dataset":"aqua_rat"}
{"question":"A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km\/hr. If the average speed of the bus is increased by 5km\/hr, how much time will it take to cover the same distance?","options":["10 min","20 min","30 min","40 min"],"answer":"D","correct_option":"40 min","explanation":"Sol. Distance between Ramgarh and Devgarh =(50*44)\/60=110\/3\nAverage speed of the bus is increased by 5 km\/hr then the\nspeed of the bus = 55 km\/hr\nRequired time = 110\/3*60\/55 = 40 min\nD","dataset":"aqua_rat"}
{"question":"In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?","options":["120","130","150","195"],"answer":"D","correct_option":"195","explanation":"The committee of 4 persons is to be so formed that it has at least 1 woman The different ways that we can choose to form such a committee are:\n(i) lw. 3 m in t 6X5X4' x 6C3 = 4x \u2014 \u2014 80 3X2X1\nx 6c2 =42:: x 26:: = 90 (ii) 2w. 2 m in \u00b0C2 (iii) 3w. 1 m in 4C3 x 6C1 = 4 x 6 = 24 (iv) 4w in 6C4 = 1 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least one woman. = 80 + 90 + 24 + 1 = 195\nD","dataset":"aqua_rat"}
{"question":"Brittany's income is 12 percent more than Tina's income, and Tina's income is 15 percent less than Jean's income. What percent of Jean's income is Brittany's income?","options":["95.2%","91.2%","96.2%","94.2%"],"answer":"A","correct_option":"95.2%","explanation":"Jean's income = 100 (assume);\nTina's income = 85 (15 percent less than Jean's income);\nBrittany's income = 95.2 (12 percent more than Tina's income).\nThus, Brittany's income (95.2) is 95.2% of Jean's income (100).\nAnswer: A","dataset":"aqua_rat"}
{"question":"David paid $7,000 for 100 shares of stock X and $5,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3\/4 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:","options":["A Gain of 1.67 times as much","A Gain of 1.4 times as much","A Gain of 2 times as much","A Gain of 1.6 times as much"],"answer":"B","correct_option":"A Gain of 1.4 times as much","explanation":"A = 7000; B = 5000; Profit = (3\/4)*5000 = 3750\nAfter prices are reversed:\nA = 5000; B =7000; Profit = (3\/4)*7000 =5250\n5250 --> Gain of 1.4 times 3750\nAnswer: B","dataset":"aqua_rat"}
{"question":"One hour after Matthew started waking from r to y, a distance of 45km, Johnny started walking along the same road from y to r. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?","options":["24","23","22","21"],"answer":"A","correct_option":"24","explanation":"Just an alternative method...\nAfter the first hour the distance r is 42 km (45-3). Now the problem can be treated as if bothof them started at the same time. Since the speeds are in the ratio 3 : 4, the distances will also be in the same ratio. Splitting 42 in that ratio we get 18 : 24. So answer is 24.\nHence A.","dataset":"aqua_rat"}
{"question":"What is the greatest prime factor of 8^12 - 2^30?","options":["2","3","5","7"],"answer":"D","correct_option":"7","explanation":"8^12 - 2^30?\n8 = 2^3\n8^12 = 2^36\n2^36 - 2^30 = 2^30 (2^6 - 1) = 2^30 (64 - 1) = 2^30 (63) = 2^30 (7*3*3)\nhence 2,3,7 are the prime factors of 8^12 - 2^30. here, 7 is the greatest prime factor.\nOption D is correct.","dataset":"aqua_rat"}
{"question":"John purchased a fridge and a mobile for Rs.5000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.","options":["Rs. 100","Rs. 150","Rs. 200","Rs. 260"],"answer":"C","correct_option":"Rs. 200","explanation":"Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.\nr = 15000(1 - 4\/100) = 15000 - 600\nm = 8000(1 + 10\/100) = 8000 + 800\nTotal SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200\nAs this is positive, an overall profit of Rs. 200 was made.\nC","dataset":"aqua_rat"}
{"question":"A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?","options":["59028","59010","59190","59000"],"answer":"D","correct_option":"59000","explanation":"Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.\nAmount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.\nLet 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)\nTotal income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.\nIncome of A = Twice the income of B\n(2500 + 18000 + P) = 2(P)\nP = 20500\nTotal profit = 2P + 18000\n= 2*20500 + 18000 = 59000\nAnswer:D","dataset":"aqua_rat"}
{"question":"Individuals with sickle cell anemia have crescent-shaped what?","options":["red blood cells","white blood cells","nerve cells","glial cells"],"answer":"A","correct_option":"red blood cells","explanation":"Figure 39.21 Individuals with sickle cell anemia have crescent-shaped red blood cells. (credit: modification of work by Ed Uthman; scale-bar data from Matt Russell).","dataset":"science"}
{"question":"In order to survive and maintain what state, an organism must quickly adapt to changing environmental conditions?","options":["homeostasis","regulation","acclimatization","ketosis"],"answer":"A","correct_option":"homeostasis","explanation":"In prokaryotes, a combination of activators and repressors determines whether a gene is transcribed. As you know, prokaryotic organisms are fairly simple organisms with much less DNA. Prokaryotic genes are arranged in operons , a region of DNA with a promoter, an operator , and one or more genes that encode proteins needed to perform a certain task. To maintain homeostasis (and survive), the organism must quickly adapt changing environmental conditions. The regulation of transcription plays a key role in this process.","dataset":"science"}
{"question":"Winter in the Northern Hemisphere","options":["correlate to warm sunny days in the Southern Hemisphere","are in sync with weather in the Southern Hemisphere","led to brisk fall days in the Northern Hemisphere","correlate to cold months in the Southern Hemisphere"],"answer":"A","correct_option":"correlate to warm sunny days in the Southern Hemisphere","explanation":"","dataset":"science"}
{"question":"A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?","options":["22","27","60","88"],"answer":"B","correct_option":"27","explanation":"In 120days, only 240m of the tunnel is constructed by 60 men.\nThe remaining 120days, 480m of the tunnel can be constructed by 120 men.\nAdditional number of men required = 120 - 60 = 60 men.\nAnswer: B","dataset":"aqua_rat"}
{"question":"Every person at a birthday party either wants candy or a wants cake, but not both. The ratio of people who want cake to people who want candy is 9 to 6 . If 9 people decided they wanted candy instead of cake, the ratio of people who want cake to people who want candy will be 1 to 1. How many people could be at the party?","options":["60","50","90","45"],"answer":"C","correct_option":"90","explanation":"By checking the answer choices:\nSince we have an initial ratio of 9:6, the total count should be divisible by 15.\nA. 60\/15=4, Cake People = 36, Candy People = 24, Since 36-9 is not equal to 24+9 this can not be the answer.\nB. Out, Since not divisible by 15.\nC. 90\/15=6, Cake People = 54, Candy People = 36, Since 54-9 is equal to 36+9, this is the correct answer.\nD. 45\/15=3, Cake People = 27, Candy People = 18, Since 27-9 is not equal to 18+9 this as well can not be the answer.\nE. Since choice D is not correct, choice E is also not correct.\nC is the correct answer.","dataset":"aqua_rat"}
{"question":"What shape is each face of a tetrahedron?","options":["trapezoid","oval","equilateral triangle","asymmetric triangle"],"answer":"C","correct_option":"equilateral triangle","explanation":"In order to maximize their distance from one another, the four groups of bonding electrons do not lie in the same plane. Instead, each of the hydrogen atoms lies at the corners of a geometrical shape called a tetrahedron. The carbon atom is at the center of the tetrahedron. Each face of a tetrahedron is an equilateral triangle.","dataset":"science"}
{"question":"How many arrangements can be made if there are 5 balls from which 3 are red, 1 is green, 1 is yellow. find the probability of getting all 3?","options":["3\/10","4\/10","6\/10","7\/10"],"answer":"A","correct_option":"3\/10","explanation":"arrangement = 5!\/3!=20\nProbability of getting all 3 balls=\n3 from 5=5c3\n1 from 3 red ball,1 green,1 yellow\n(3c1*1c1*1c1)\/5c3 =3\/10\nANSWER:A","dataset":"aqua_rat"}
{"question":"If log3(2), log3(2x - 5), log3(2x - 7\/2) are in arithmetic progression, then the value of x is equal to","options":["5","4","2","3"],"answer":"D","correct_option":"3","explanation":"Explanation :\nUsing log a \u2013 log b = log(a\/b) ,\n=> 2\/(y-5) = (y-5) \/ (y-3.5), where y = 2x.\nSolving we get, y= 4 or 8 i.e x = 2 or 3.\nIt can't be 2 as log of negative number is not deifned.\nAnswer : D","dataset":"aqua_rat"}
{"question":"A watch was sold at a loss of 10%. If it was sold for Rs.540 more, there would have been a gain of 8%. What is the cost price?","options":["1000","2998","3000","2788"],"answer":"C","correct_option":"3000","explanation":"90%\n108%\n--------\n18% ---- 540\n100% ---- ? => Rs.3000\nAnswer:C","dataset":"aqua_rat"}
{"question":"A pupil's marks were wrongly entered as 83 instead of 70. Due to the average marks for the class got increased by half. The number of pupils in the class is?","options":["18","82","26","27"],"answer":"C","correct_option":"26","explanation":"Let there be x pupils in the class.\nTotal increase in marks\n= (x * 1\/2) = x\/2\nx\/2 = (83 - 70) => x\/2\n= 13 => x = 26.\nAnswer: C","dataset":"aqua_rat"}
{"question":"The traffic lights at 3 different roads change after every 12 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.","options":["9:18:36","9:42:15","10:15:24","9:54:12"],"answer":"A","correct_option":"9:18:36","explanation":"LCM of 12,72,108 =216 = 3mnts 36sec\nThe lines will change every 3m 36sec\nThe light will change again after 9:15 AM is = 9:15+0:03:36 = 9:18:36\nAnswer is A","dataset":"aqua_rat"}
{"question":"What is the area of a square field whose diagonal of length 30 m?","options":["287","269","450","200"],"answer":"C","correct_option":"450","explanation":"d2\/2 = (30 * 30)\/2\n= 450\nAnswer:C","dataset":"aqua_rat"}
{"question":"There are 5 orators A, B, C, D, E. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.","options":["5! \/ 3!","8! \/ 6!","5! x 3!","8! \/ (5! x 3!)"],"answer":"A","correct_option":"5! \/ 3!","explanation":"Select any three places for A, B and C. They need no arrangement amongst themselves as A would always come before B and B would always come before C.\nThe remaining 2 people have to be arranged in 2 places.\nThus, 5C3 x 2! = 5! \/ 3!\nANSWER:A","dataset":"aqua_rat"}
{"question":"If T = 5\/9 * (K - 32), and if T = 35, then what is the value of K?","options":["92","95","98","101"],"answer":"B","correct_option":"95","explanation":"K-32=9T\/5\nK=9T\/5 + 32\nK=9(35)\/5 + 32 = 95\nThe answer is B.","dataset":"aqua_rat"}
{"question":"The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.","options":["288 m","704 m","898 m","556 m"],"answer":"B","correct_option":"704 m","explanation":"In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.\n= 500 * 2 * 22\/7 * 22.4 = 70400 cm = 704 m\nAnswer: B","dataset":"aqua_rat"}
{"question":"An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many E ways can the assembly line be arranged?","options":["120","240","360","480"],"answer":"C","correct_option":"360","explanation":"C) 360\nshort way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want E=6C!\/2 -> 720\/2 = 360","dataset":"aqua_rat"}
{"question":"The owner of an electronic store charges his customer 9% more than the cost price. If a customer paid 1,26440 for an LED T.V., then what was the original price of the T.V.?","options":["115000","115500","116000","117000"],"answer":"D","correct_option":"117000","explanation":"Selling Price = 109% of CP;\n:. CP = 126440 \u00d7 100\/109 = 116000\nD)","dataset":"aqua_rat"}
{"question":"What do some animals use to get a feel for their environment?","options":["mechanoreceptors","neuroreceptors","nociceptors","fibroblasts"],"answer":"A","correct_option":"mechanoreceptors","explanation":"","dataset":"science"}
{"question":"Solar cells create voltages directly from light, while thermoelectric devices create voltage from differences in what?","options":["wire width","oxygen","wattage","temperature"],"answer":"D","correct_option":"temperature","explanation":"Electromotive Force You can think of many different types of voltage sources. Batteries themselves come in many varieties. There are many types of mechanical\/electrical generators, driven by many different energy sources, ranging from nuclear to wind. Solar cells create voltages directly from light, while thermoelectric devices create voltage from temperature differences.","dataset":"science"}
{"question":"Seven machines at a certain factory operate at the same constant rate. If six of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all seven machines, operating simultaneously, to fill the same production order?","options":["3","4","5","6"],"answer":"D","correct_option":"6","explanation":"The total work is 6*42 = 252 machine hours\nThe time required for seven machines is 252\/7 = 36 hours, thus 6 fewer hours.\nThe answer is D.","dataset":"aqua_rat"}
{"question":"Which of the following integers doesn't have a divisor greater than 1 that is the square of an integer?","options":["12","36","100","61"],"answer":"D","correct_option":"61","explanation":"Prime Factorization\n12=2*2*3=2^2*3. Includes a perfect square of 4.\n36=2*2*3*3=2^2*3^2. Includes perfect squares of 4 and 9.\n100=2*2*5*5=2^2*5^2. Includes the perfect squares 4 and 25.\n61=61*1. 61 is prime, no perfect squares so a possibility.\n72= 2*3*2*3*2=6^2*3. Includes perfect square of 36.\n28=2*2*7=2^2*7. Includes a perfect square of 4.\nAll but 61 have a perfect square as a factor so the answer is D.\n12=4*3. Perfect square of 4.\n36=4*9. Perfect squares of 4 and 9.\n100=4*25. Perfect squares 4 and 25.\n61=61*1. No perfect squares.\n72= 36*2. Perfect square of 36.","dataset":"aqua_rat"}
{"question":"A motorist travels for 6 hours, the first half at 60 Kmph and the rest at 48 Kmph. Find the distance Traveled by him.","options":["234","124","324","452"],"answer":"C","correct_option":"324","explanation":"Distance = 3 * 60 + 3 * 48\n= 180 + 144\n= 324 Km\nAnswer C.","dataset":"aqua_rat"}
{"question":"A white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. What is the area of the white paper, in square inches?","options":["96","196","128","144"],"answer":"B","correct_option":"196","explanation":"This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want.\nWe're told that a white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. We're asked for the area of the frame, in square inches.\nArea of a rectangle = (length)(width)\nSo the area of the black paper is... (8)(12) = 96\nThe white paper 'adds' 2 inches to the top, bottom, left and right 'sides' of the picture, so the area of EVERYTHING is...\n(8+2+2)(12+2+2) = (12)(16) = 196\nWhen we 'punch out' the area of the black paper, we'll be left with the area of the white paper:\n192 - 96 = 96\nFinal Answer:\nB","dataset":"aqua_rat"}
{"question":"A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?","options":["Rs. 1991","Rs. 2991","Rs. 3991","Rs. 4991"],"answer":"D","correct_option":"Rs. 4991","explanation":"Explanation:\nTotal sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.\nRequired sale = Rs. [ (6500 x 6) \u2013 34009 ]\n= Rs. (39000 \u2013 34009)\n= Rs. 4991.\nAnswer D","dataset":"aqua_rat"}
{"question":"What is a relationship between living things that depend on the same resources?","options":["contention","competition","symbiotic","parasitic"],"answer":"B","correct_option":"competition","explanation":"Competition is a relationship between living things that depend on the same resources. The resources may be food, water, or anything else they both need. Competition occurs whenever they both try to get the same resources in the same place and at the same time. The two organisms are likely to come into conflict, and the organism with better adaptations may win out over the other organism.","dataset":"science"}
{"question":"How many positive even integers less than 100 contain digits 5 or 7?","options":["10","17","18","19"],"answer":"A","correct_option":"10","explanation":"Two digit numbers:\n5 at tens place: 50,52,54,56,58\n7 at tens place: 70,72,74,76,78\nIf 5 and 7 is at units place, the number cant be even\nTotal:5+5= 10\nAnswer A","dataset":"aqua_rat"}
{"question":"Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?","options":["16 days","12 days","8 days","6 days"],"answer":"C","correct_option":"8 days","explanation":"Answer\nRam takes 24 days to complete the task, if he works alone.\nKrish is twice as efficient as Ram is. So, working alone, Krish will take half the time to complete the task.i.e., 12 days.\nRam will complete 1\/24th of the task in a day.\nKrish will complete 1\/12th of the task in a day.\nWhen they work together, they will complete 1\/24+1\/12=1\/8th of the task in a day.\nTherefore, when they work together they will complete the task in 8 days.\nChoice C","dataset":"aqua_rat"}
{"question":"A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 4.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?","options":["6%.","7.7%.","9.2%.","10.5%."],"answer":"B","correct_option":"7.7%.","explanation":"Denominator:\n340+10+4.2+6.8=361\nNumerator:\n340(1-.88-.05)+4.2\n340(0.07)+4.2\n23.8+4.2\n28\nRatio:\n28\/361=0.077\nAnswer: B","dataset":"aqua_rat"}
{"question":"What is defined as the change of water from its liquid phase to its gaseous phase?","options":["absorption","transpiration","evaporation","condensation"],"answer":"C","correct_option":"evaporation","explanation":"","dataset":"science"}
{"question":"From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a black card and the second card is a king or queen?","options":["1\/52","1\/13","1\/26","3\/26"],"answer":"B","correct_option":"1\/13","explanation":"P(black card) = 1\/2\nP(king or queen) = 2\/13\nP(black card then a king\/queen) = 1\/2 * 2\/13 = 1\/13\nThe answer is B.","dataset":"aqua_rat"}
{"question":"What guards the opening between the right atrium and the right ventricle?","options":["brachiocephalic trunk","tricuspid valve","aorta","superior vena cava"],"answer":"B","correct_option":"tricuspid valve","explanation":"Right Atrium The right atrium serves as the receiving chamber for blood returning to the heart from the systemic circulation. The two major systemic veins, the superior and inferior venae cavae, and the large coronary vein called the coronary sinus that drains the heart myocardium empty into the right atrium. The superior vena cava drains blood from regions superior to the diaphragm: the head, neck, upper limbs, and the thoracic region. It empties into the superior and posterior portions of the right atrium. The inferior vena cava drains blood from areas inferior to the diaphragm: the lower limbs and abdominopelvic region of the body. It, too, empties into the posterior portion of the atria, but inferior to the opening of the superior vena cava. Immediately superior and slightly medial to the opening of the inferior vena cava on the posterior surface of the atrium is the opening of the coronary sinus. This thin-walled vessel drains most of the coronary veins that return systemic blood from the heart. The majority of the internal heart structures discussed in this and subsequent sections are illustrated in Figure 19.9. While the bulk of the internal surface of the right atrium is smooth, the depression of the fossa ovalis is medial, and the anterior surface demonstrates prominent ridges of muscle called the pectinate muscles. The right auricle also has pectinate muscles. The left atrium does not have pectinate muscles except in the auricle. The atria receive venous blood on a nearly continuous basis, preventing venous flow from stopping while the ventricles are contracting. While most ventricular filling occurs while the atria are relaxed, they do demonstrate a contractile phase and actively pump blood into the ventricles just prior to ventricular contraction. The opening between the atrium and ventricle is guarded by the tricuspid valve.","dataset":"science"}
{"question":"Three models (S, T, and P) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model S, 17 cars of Model T, and 15 cars of Model P. What is the maximum number of cars of model S in any showroom ?","options":["17","16","15","14"],"answer":"C","correct_option":"15","explanation":"The total number of cars is 51. So each showroom has 17 cars(since the number of cars in each showrooms should be equal 51\/3=17).\nMoreover that the number of model S is maximum means that the numbers of model T and P should be minimum. Since each model must be represented by at least one car in every showroom that minimum number should be 1.\nSo Maximum number of model S is 17-2= 15.\nThe answer is (C)","dataset":"aqua_rat"}
{"question":"If a thing has both seeds and reproductive dust, it is","options":["a producer","a meat source","a consumer","a marine mammal"],"answer":"A","correct_option":"a producer","explanation":"","dataset":"science"}
{"question":"A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?","options":["77.9 litres","72.9 litres","72.8 litres","62.9 litres"],"answer":"B","correct_option":"72.9 litres","explanation":"Let the initial quantity of milk in vessel be T litres.\nLet us say y litres of the mixture is taken out and replaced by water for n times, alternatively.\nQuantity of milk finally in the vessel is then given by [(T - y)\/T]n * T\nFor the given problem, T = 90, y = 9 and n = 2.\nHence, quantity of milk finally in the vessel\n= [(90 - 9)\/90]2 (90) = 72.9 litres.\nAnswer: B","dataset":"aqua_rat"}
{"question":"The average of the marks of 25 students in a class is 70. If the marks of each student are doubled, find the new average?","options":["140","100","85","160"],"answer":"A","correct_option":"140","explanation":"Sum of the marks for the 25 students\n= 25 * 70 = 1750. The marks of each student are doubled, the sum also will be doubled.\nThe new sum = 1750 * 2 = 3500. So, the new average\n= 3500\/25 = 140.\nAnswer:A","dataset":"aqua_rat"}
{"question":"In Cricket game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?","options":["1\/3","4\/9","5\/9","2\/3"],"answer":"C","correct_option":"5\/9","explanation":"In Cricket game Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:\nP(win) = 1- P(not win) = 1 - 4\/6*4\/6 = 5\/9.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. What is the number of participants?","options":["21","22","23","24"],"answer":"C","correct_option":"23","explanation":"Let n be the number of participants.\nThe number of games is nC2 = n*(n-1) \/ 2 = 253\nn*(n-1) = 506 = 23*22 (trial and error)\nThe answer is C.","dataset":"aqua_rat"}
{"question":"An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3\/4 %, then the amount invested in each share was?","options":["23777","37500","29977","26777"],"answer":"B","correct_option":"37500","explanation":"Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,\n(x * 9 * 1)\/100 + [(100000 - x) * 11 * 1]\/100 = (100000 * 39\/4 * 1\/100)\n(9x + 1100000 - 11x)\/100 = 39000\/4 = 9750\nx = 62500\nSum invested at 9% = Rs. 62500\nSum invested at 11% = Rs. (100000 - 62500) = Rs. 37500.\nAnswer: B","dataset":"aqua_rat"}
{"question":"Train X and train Y pass one another traveling in opposite directions. Thirty minutes later they are 100 miles apart. If train X\u2019s constant speed is 40 miles per hour greater than train Y\u2019s, how far does train X travel during that time?","options":["28","40","60","72"],"answer":"C","correct_option":"60","explanation":"Let the rate of the Train Y be R\nThen the rate of the Train X will be R+40 (given)\nAs per relative rate concept, the rate at which they are increasing the distance between them is R+(R+40) [add the rates] i.e. 2R+40\nd=100 and t = 30 min i.e 30\/60 hr\nusing RTD table, (2R+40) * 30\/60 = 100 ==> R= 80 miles\/hr\nSo the rate of train X is 120 miles\/hr (since R+40)\nThe distance traveled by Train X in 30 min is R*T = 120 * 30\/60 = 60 miles (C)","dataset":"aqua_rat"}
{"question":"If 170!\/10^n is an integer, what is the largest possible value of n?","options":["47","46","41","48"],"answer":"C","correct_option":"41","explanation":"The question actually asks the highest power of 10 which divides 300! ( For a number to be an integer - Without any remainder all the trailing zeroe's must be divided by the denominator)\n10 = 2 x 5\n170 factorial will have 41 as -\n170\/5 = 34\n34\/5 = 6\n6\/5 =1\nSo answer will be (C) 41","dataset":"aqua_rat"}
{"question":"A letter lock consists of three rings each marked with twelve different letters. The number of distinct unsuccessful attempts to open the lock is at the most?","options":["1762","1783","1727","1728"],"answer":"C","correct_option":"1727","explanation":"Since each ring consists of twelve different letters, the total number of attempts possible with the three rings is\n= 12 * 12 * 12= 1728. Of these attempts, one of them is a successful attempt.\nMaximum number of unsuccessful attempts\n= 1728 - 1 = 1727.\nAnswer: C","dataset":"aqua_rat"}
{"question":"I can use a stopwatch to track","options":["The number of freckles I have on my back","How long the road is","My weight loss in 6 months","how many marshmallows I can eat in 10 minutes"],"answer":"D","correct_option":"how many marshmallows I can eat in 10 minutes","explanation":"","dataset":"science"}
{"question":"What is 10-8+6-4+...+(-18)?","options":["-8","10","12","-4"],"answer":"D","correct_option":"-4","explanation":"The expression considers all even numbers between 10 and -18 with alternate addition and subtraction of the numbers.\nThe numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, and -18.\nNow, the first term is positive and the next term is subtracted. So, the required expression becomes,\n10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10) - (-12) + (-14) - (-16) + (-18)\n= 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10 + 12 - 14 + 16 - 18\n= 58 - 62\n= -4\nHence the correct answer choice is D.","dataset":"aqua_rat"}
{"question":"A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?","options":["35","35.5","36","36.5"],"answer":"C","correct_option":"36","explanation":"40 * T = 1 km => T = 1\/40 km\/h\nV*(T+10\/3600) = 1\nV (1\/40 + 10\/3600) = 1\nV (100\/3600) = 1\nV = 36 km\/h\nThe answer is C.","dataset":"aqua_rat"}
{"question":"4840\u00f78\u00f74=?","options":["151","156","189","134"],"answer":"A","correct_option":"151","explanation":"4840 \u00f7 8 = 605\n605 \u00f7 4 = 151\nAnswer is A","dataset":"aqua_rat"}
{"question":"By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?","options":["26%","25%","15%","28%"],"answer":"B","correct_option":"25%","explanation":"SP = CP + g\n150 SP = 150 CP + 30 SP\n120 SP = 150 CP\n120 --- 30 CP\n100 --- ? => 25%\nAnswer:B","dataset":"aqua_rat"}
{"question":"If a-b= 9 and a^2+b^2=281, find the value of ab","options":["100","12","15","18"],"answer":"A","correct_option":"100","explanation":"2ab = (a^2 + b^2) - (a - b)^2\n= 281 - 81 = 200\n=> ab = 100\nANSWER:A","dataset":"aqua_rat"}
{"question":"Simplify: 5005-5000+10","options":["4505","4509","4501","4508"],"answer":"A","correct_option":"4505","explanation":"5005-5000+10\n=5005-(5000\/10)\n=5005-500\n=4505.\nAnswer is A","dataset":"aqua_rat"}
{"question":"Today Joelle opened an interest-bearing savings account and deposited $10,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?","options":["$12025","$11075","$11025","$11095"],"answer":"C","correct_option":"$11025","explanation":"Interest for 1st year =10000*5\/100 = 500\nInterest for 2nd year = 10500 *5\/100 = 525\nTotal =10000+500+525 = 11025\nAnswer : C","dataset":"aqua_rat"}
{"question":"Divide Rs. 1500 among A, B and C so that A receives 1\/3 as much as B and C together and B receives 2\/3 as A and C together. A's share is?","options":["250","375","300","540"],"answer":"B","correct_option":"375","explanation":"A+B+C = 1500\nA = 1\/3(B+C); B = 2\/3(A+C)\nA\/(B+C) = 1\/3\nA = 1\/4 * 1500 => 375\nANSWER B","dataset":"aqua_rat"}
{"question":"B and C walk around a circular track. They start at 9 a.m from the same point in the opposite directions. B and C walk at a speed of 5 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 1 p.m","options":["34","35","36","37"],"answer":"C","correct_option":"36","explanation":"Explanation:\nRelative speed = (5+4) =9 rounds per hour\nSo, they cross each other 9 times in an hour hence, they cross 36 times before 1 p.m\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?","options":["17","19","12","28"],"answer":"C","correct_option":"12","explanation":"Initial average age of the 10 persons be P.\nAge of the new person Q.\nSum of the ages of the initial 10 persons = 10P\nNew average = (P-3) 10(P-3) = 10P - 42 + Q => Q = 12\nAnswer:C","dataset":"aqua_rat"}
{"question":"What is the smallest particle of an element that still has the element\u2019s properties?","options":["an ion","an electron","an atom","a nucleus"],"answer":"C","correct_option":"an atom","explanation":"The smallest particle of an element that still has the element\u2019s properties is an atom . All the atoms of an element are alike, and they are different from the atoms of all other elements. For example, atoms of gold are the same whether they are found in a gold nugget or a gold ring (see Figure below ). All gold atoms have the same structure and properties.","dataset":"science"}
{"question":"In what time will a train 120 metres long cross an electric pole, if its speed be 72 km\/hr?","options":["7 sec","6 sec","8 sec","9 sec"],"answer":"B","correct_option":"6 sec","explanation":"Solution\nSpeed\t= (72 x 5 \/18) m\/sec\n= 20 m \/ sec\nTime taken\t= (120 \/20) sec\n= 6 sec.\nAnswer B","dataset":"aqua_rat"}
{"question":"A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 4000. The difference between the profit shares of A and C is?","options":["621","276","236","1600"],"answer":"D","correct_option":"1600","explanation":"Explanation:\nRatio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6\nAnd also given that, profit share of B is Rs. 4000\n=> 5 parts out of 15 parts is Rs. 4000\nNow, required difference is 6 - 4 = 2 parts\nRequired difference = 2\/5 (4000) = Rs. 1600\nAnswer: D","dataset":"aqua_rat"}
{"question":"If the sum of 7 consecutive negative integers is -70, what is the value of the 2nd number in the sequence?","options":["8","-9","-8","9"],"answer":"C","correct_option":"-8","explanation":"if sum is -70, the average = median = -70\/7 = -10 = which is the middle in the sequence.\n7\/2 = 3.5. When rounded up = 4. So -10 is the 4th in the sequence.\n4th - 2nd = 2 numbers away.\n-10 + 2= -8\nAnswer: C","dataset":"aqua_rat"}
{"question":"Which of the following could be the value of x, if |14x \u2013 56| = 196?","options":["-14","-18","-10","10"],"answer":"C","correct_option":"-10","explanation":"|14x \u2013 56| = 196\n=> 14x - 56 = 196\nor 14x - 56 = -196\n=> 14x = 252 or 14x = -140\n=> x = 18 or x = -10\nAnswer C","dataset":"aqua_rat"}
{"question":"Awordis defined as a sequence of four dots arranged in a row. Each dot is colored either red or blue. How many distinct words can be formed?","options":["16","15","6","18"],"answer":"A","correct_option":"16","explanation":"Each dot can be either yellow or blue, so 2 options for each dot: 2*2*2*2 = 16.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 756. What is the banker's discount?","options":["1240","1120","1190","1806"],"answer":"D","correct_option":"1806","explanation":"Explanation :\nTD = (BG \u00d7100)\/TR = (756\u00d7100)\/(6\u00d712) = Rs. 1050\nBG = BD \u2013 TD\n=> 756 = BD - 1050\n=> BD = 1050+ 756 = 1806 Answer : Option D","dataset":"aqua_rat"}
{"question":"If X+Y = 2X-2Z, X+2Y = 4Z and X+Y+Z = 21, what is the value of Y\/Z?","options":["-4.5.","0.667.","1.7.","3."],"answer":"B","correct_option":"0.667.","explanation":"X+Y = 2X-2Z\nY= X-2Z---------- 1\nX+2Y = 4Z\n-X+4Z= 2Y--------- 2\nAdding equation 1 from equation 2\n2Z = 3Y\nY\/Z = 0.667\nB is the answer","dataset":"aqua_rat"}
{"question":"If 15648 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?\nOptions:\n8","options":["12 books","6 books","24 books","18 books"],"answer":"B","correct_option":"6 books","explanation":"The number of books that can be placed in boxes of 9 books is the first number that is divisible by 9 that occurs before 15648.\nIn order to divide the sum in 9 parts, the amount must be divisible by 9\nDivisibility rule of 9: The sum of the digits must be divisible by 9\nSum of digits of 15648 =24 and 18 is divisible by 9.\nHence, we need to remove 6 to this number for it to be divisible by 9\nCorrect Option:B","dataset":"aqua_rat"}
{"question":"What gives rise to offspring?","options":["sex","spring","bird","DNA"],"answer":"A","correct_option":"sex","explanation":"sex gives rise to offspring","dataset":"qasc"}
{"question":"Salesperson A's compensation for any week is $360 plus 8 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?","options":["$21,000","$18,000","$15,000","$ 7,750"],"answer":"D","correct_option":"$ 7,750","explanation":"sometime, setting up an equation is an easy way to go with:\n350 + 0.04(x - 1000) = 0.08 x\nx = 7,750\nAns : D","dataset":"aqua_rat"}
{"question":"The inverse ratio of 3: 6: 1 is?","options":["2:3:7","2:3:9","2:1:6","2:3:6"],"answer":"C","correct_option":"2:1:6","explanation":"1\/3: 1\/6: 1\/1 = 2:1:6\nAnswer:C","dataset":"aqua_rat"}
{"question":"In an election between two candidates first candidate got 60% of votes polled and second Candidate got 260 votes. The total number of votes polled was?","options":["votes","votes","votes","votes"],"answer":"A","correct_option":"votes","explanation":"Total = 100 %,\nFirst person got 60%\nsecond person got remaining 40 % of votes.\nthan 40 % = 260\n40% = 40\u00d77 = 260\n100% =100\u00d77 =700 votes\nA)","dataset":"aqua_rat"}
{"question":"A ladies hostel had provision of food for 120 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:","options":["39.47","39","39.23","39.74"],"answer":"A","correct_option":"39.47","explanation":"Explanation :\nAfter 10 days : 120 women had food for 25 days.\nSuppose 95 women had food for x days.\nNow, Less women, More days (Indirect Proportion)\n95 : 150 :: 25 : x\n=> 95 x x = 150 x 25\n=> x = 150 x 25 \/ 95\n=> x = 39.47\nAnswer : A","dataset":"aqua_rat"}
{"question":"How many digits are required to number a book containing 240 pages?","options":["756","612","492","372"],"answer":"B","correct_option":"612","explanation":"9 pages from 1 to 9 will require 9 digits.\n90 pages from 10 to 99 will require 90*2=180 digits.\n240-(90+9)=141 pages will require 141*3=423 digits.\nThe total number of digits is 9+180+423=612.\nThe answer is B.","dataset":"aqua_rat"}
{"question":"A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?","options":["288","2778","299","400"],"answer":"D","correct_option":"400","explanation":"2*12 : 3*12 : 4*24\n1: 3: 4\n1\/8 * 3200 = 400\n27. A and B start a busin. Answer: D","dataset":"aqua_rat"}
{"question":"What is 15% of 2\/3 of 0.5?","options":["0.05","0.9","9","90"],"answer":"A","correct_option":"0.05","explanation":"The best way to solve these questions is to convert every term into fraction\n(15\/100)*(2\/3)*(5\/10) = 150\/3000 = 0.05\nOption A","dataset":"aqua_rat"}
{"question":"A girl has 12 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?","options":["A)100","B)102","C)108","D)144"],"answer":"D","correct_option":"D)144","explanation":"The girl can select one jeans in 12 ways.\nThe girl can select one shirt in 12 ways.\nThe number of ways in which he can select one jeans and one shirt is 12 * 12 = 144 ways.\nD","dataset":"aqua_rat"}
{"question":"In what time will a train 100 meters long cross an electric pole, if its speed is 36 km\/hr","options":["8.5 seconds","10 seconds","3.5 seconds","2.5 seconds"],"answer":"B","correct_option":"10 seconds","explanation":"First convert speed into m\/sec\nSpeed = 36*(5\/18) = 10 m\/sec\nTime = Distance\/speed\n= 100\/10 = 10 seconds\nAnswer: B","dataset":"aqua_rat"}
{"question":"From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?","options":["3252","1365","5325","1432"],"answer":"B","correct_option":"1365","explanation":"11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!\/11!x4! = 1365 ways. Ans: B","dataset":"aqua_rat"}
{"question":"In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?","options":["720","620","520","820"],"answer":"A","correct_option":"720","explanation":"The word 'LEADING' has 7 different letters.\nWhen the vowels EAI are always together, they can be supposed to form one letter.\nThen, we have to arrange the letters LNDG (EAI).\nNow, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.\nThe vowels (EAI) can be arranged among themselves in 3! = 6 ways.\nRequired number of ways = (120 x 6) = 720.\nAnswer is A.","dataset":"aqua_rat"}
{"question":"A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, how many birds A has killed?","options":["10","20","30","40"],"answer":"C","correct_option":"30","explanation":"Let the total number of shots=x\nShots fired by A=5x\/8\nShots fired by B=3x\/8\nKilling shots by A=5x\/8\u00d71\/3=5x\/24\nMissing shots by B=3x\/8\u00d71\/2=3x\/16\nB has missed 27 times\u21d23x\/16=27\n\u21d2x=27\u00d716\/3=144\nHence, killing shots by A=5x\/24=(5\u00d7144)\/24=5\u00d712\/2=30\ni.e., A has killed 30 birds\nAnswer is C.","dataset":"aqua_rat"}
{"question":"In a Question paper there are 3 multiple choice questions. Each question has 4 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 3 answers correct?","options":["19","85","63","54"],"answer":"C","correct_option":"63","explanation":"A candidate can answer the test in 4^3 number of ways (each question has 4 choices and we have total of 3 questions). Now, out of these cases there will be only one case when the candidate answered all the four questions correct. Therefore the total number of ways in which a candidate will NOT get all the four answers correct is 4^3-1=63.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"Jim wishes to buy 3 gifts that cost 19 dollars, 9 dollars, and 12 dollars. He has 1\/4 of the money\nhe needs. How much more money must he earn in order to buy the gifts?","options":["$57","$47","$7","$30"],"answer":"D","correct_option":"$30","explanation":"$19 + $9 + $12 = $40 needed\n1\/4 x $40 = $10 on hand\n$40 - $10 = $30 to earn\ncorrect answer D","dataset":"aqua_rat"}
{"question":"Jhaveri invested in Upendra&Upendra,Celco and Winger shares at Rs. 300,Rs.200 and Rs.5 per share respectively. He bought 100 shares for Rs.1000.The number of Upendra&Upendra and Celco shares he bought are respectively","options":["23,17","17,23","17,60","15,25"],"answer":"D","correct_option":"15,25","explanation":"300a + 200 b + 5c = 10000\na + b + c = 100\n295 a + 195 b = 9500\n59 a + 39 b = 1900\nusing options a = 17 b = 23 we can solve it\nANSWER:D","dataset":"aqua_rat"}
{"question":"A radio station has to choose one day of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays \u2014- weekdays vs. weekends don\u2019t matter at all \u2014- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?","options":["7","15","21","35"],"answer":"A","correct_option":"7","explanation":"Behind the story, we are really being asked to evaluate 7C1. We could use the factorial formula, but above we conveniently happen to have Pascal\u2019s Triangle written out to the seventh row. We see that 7C1, the third entry of the seventh row, is 7. Answer = A.","dataset":"aqua_rat"}
{"question":"What makes luminous dials glow in the dark?","options":["devil substances","phosphorescent substances","polymer substances","eerie substances"],"answer":"B","correct_option":"phosphorescent substances","explanation":"Once excited, an atom or molecule will usually spontaneously de-excite quickly. (The electrons raised to higher levels are attracted to lower ones by the positive charge of the nucleus. ) Spontaneous de-excitation has a very short mean lifetime of \u22128 typically about 10 s . However, some levels have significantly longer lifetimes, ranging up to milliseconds to minutes or even hours. These energy levels are inhibited and are slow in de-exciting because their quantum numbers differ greatly from those of available lower levels. Although these level lifetimes are short in human terms, they are many orders of magnitude longer than is typical and, thus, are said to be metastable, meaning relatively stable. Phosphorescence is the de-excitation of a metastable state. Glow-in-the-dark materials, such as luminous dials on some watches and clocks and on children\u2019s toys and pajamas, are made of phosphorescent substances. Visible light excites the atoms or molecules to metastable states that decay slowly, releasing the stored excitation energy partially as visible light. In some ceramics, atomic excitation energy can be frozen in after the ceramic has cooled from its firing. It is very slowly released, but the ceramic can be induced to phosphoresce by heating\u2014a process called \u201cthermoluminescence. \u201d Since the release is slow, thermoluminescence can be used to date antiquities. The less light emitted, the older the ceramic. (See Figure 30.35.","dataset":"science"}
{"question":"What is the probability of getting a sum 9 from two throw of a dice?","options":["1\/6","1\/8","1\/9","1\/12"],"answer":"C","correct_option":"1\/9","explanation":"In two throws of die, n(S)=36\nLet E =event of getting a sum 9\n={(3,6), (4,5),(5,4),(6,3)}\nP(E)=4\/36=1\/9\nANSWER C 1\/9","dataset":"aqua_rat"}
{"question":"In the given series find the number which is wrong.\n215,28,63,126,7,343","options":["215","28","126","343"],"answer":"D","correct_option":"343","explanation":"215=6*6*6-1\n28=3*3*3+1\n63=4*4*4-1\n126=5*5*5+1\n7=2*2*2-1\n343 should be 7*7*7+1= 344 but it is 343\nANSWER:D","dataset":"aqua_rat"}
{"question":"A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4\u00bd % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is","options":["2 years","3years","4 years","5 years"],"answer":"C","correct_option":"4 years","explanation":"Let the time be x years. Then (600 *3* x)\/100 + (800*9*x)\/(2*100) = 24\n18x+ 36x = 246 ; x = 246\/54 = 4 years\nRequired time = 4 years\nANSWER:C","dataset":"aqua_rat"}
{"question":"Find the odd man out. 1, 8, 27, 64, 125, 196, 216, 343","options":["64","196","216","1"],"answer":"B","correct_option":"196","explanation":"Explanation :\nThe pattern is 1^3, 2^3, 3^3, 4^3, 5^3, 6^3, 7^3.\n196 is not a perfect cube\nAnswer : Option B","dataset":"aqua_rat"}
{"question":"A train starts full of passengers at the first station it drops 1\/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 240 passengers. Find the no of passengers in the beginning?","options":["264","180","192","144"],"answer":"A","correct_option":"264","explanation":"Let no of passengers in the beginning be X\nAfter first station no passengers=(X-X\/3)+280=2X\/3 +280\nAfter second station no passengers =1\/2(2X\/3+280)+12\n1\/2(2X\/3+280)+12=240\n2X\/3+280=2*228 = 456 - 280 = 176\n2X\/3=176\nX=264. So the answer is option A) 264.","dataset":"aqua_rat"}
{"question":"Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time W it could take for 10 cars to be complete?","options":["111 1\/9 minutes","115 2\/5 minutes","116 minutes","120 minutes"],"answer":"D","correct_option":"120 minutes","explanation":"A builds 4 cars in 80 min\nB builds 4 cars in 100 min\nSo A builds another car in another 20 min (i.e total 5 cars)\nB builds another car in another 25 minutes (i.e, total 5 cars)\nHowever, A can build another car in next 20 min (i.e total 6 cars)\nSo total time W= 125 min by B, which is > 120 min by A\nB - 4 cars, A - 6 cars\nAnswer = D","dataset":"aqua_rat"}
{"question":"A coin is tossed live times. What is the probability that there is at the least one tail?","options":["31\/32","31\/37","31\/18","31\/10"],"answer":"A","correct_option":"31\/32","explanation":"Let P(T) be the probability of getting least one tail when the coin is tossed five times.\n= There is not even a single tail.\ni.e. all the outcomes are heads.\n= 1\/32 ; P(T) = 1 - 1\/32 = 31\/32\nAnswer: A","dataset":"aqua_rat"}
{"question":"What is generated when a heart ventricle contracts?","options":["blood pressure","artery pressure","vein pressure","blood force"],"answer":"A","correct_option":"blood pressure","explanation":"","dataset":"science"}
{"question":"Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?","options":["2\/5","1\/6","1\/4","1\/9"],"answer":"B","correct_option":"1\/6","explanation":"B\n1\/6\nA's one day's work = 1\/30\nB's one day's work = 1\/45\n(A + B)'s one day's work = 1\/30 + 1\/45 = 1\/18\nThe part of the work completed in 3 days = 3 (1\/18) = 1\/6.","dataset":"aqua_rat"}
{"question":"The pages of a report are numbered consecutively from 1 to 6. If the sum of the page numbers up to and including page number x of the report is equal to one less than the sum of the page numbers following page number x, then x =","options":["4","5","6","3"],"answer":"A","correct_option":"4","explanation":"sum of the first few numbers =1+2+3+4 =10\nsum of the last few = 5 +6 =11 page no.4 answer .A","dataset":"aqua_rat"}
{"question":"A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?","options":["4 films and 12 photos","5 films and 6 photos","5 films and 14 photos","6 films and 4 photos"],"answer":"A","correct_option":"4 films and 12 photos","explanation":"1st photo = 0.55\nSubsequent = 0.55*0.6=0.33\nPrice of 1 full film=0.55+0.33*35=12.1\nPrice of 4 full film = 12.1*4=48.4\n52.58-48.4=4.18\n4.18=0.55+0.33x\nx=11\n52.58--->4 full films and 1+11=12 photos\nAnswer: A\nShortcut:\nPrice of 1 full film is 12.1 so we cannot have 5 full films as 12.1*5=60.5 and we need 52.58. Only option A seems valid.","dataset":"aqua_rat"}
{"question":"Plant cells have cell walls that are made of what?","options":["carbonate","nucleus","cellulose","tissue"],"answer":"C","correct_option":"cellulose","explanation":"Plants are multicellular eukaryotes that are placed in the Plant Kingdom . Plant cells have cell walls that are made of cellulose. Plant cells also have chloroplasts. They allow plants to make food by photosynthesis. In addition, plants have specialized reproductive organs that produce gametes. Male reproductive organs produce sperm. Female reproductive organs produce eggs. Male and female reproductive organs may be on the same plant or on different plants.","dataset":"science"}
{"question":"If |x| < x^2, which of the following must be true ?","options":["x\u00b2 >- 1.","x\u00b2 > -2.","x\u00b2 > 0.","x\u00b2 > 1."],"answer":"D","correct_option":"x\u00b2 > 1.","explanation":"|x| < x\u00b2 implies that x is NONZERO.\nSince x is nonzero, |x| > 0 and x\u00b2 > 0.\nImplication:\nBoth sides of the inequality are positive, allowing us to SQUARE the inequality.\n(|x|)\u00b2 < (x\u00b2)\u00b2\nx\u00b2 < x\u2074.\nSince x\u00b2 > 0, we can safely DIVIDE both sides by x\u00b2:\nx\u00b2\/x\u00b2 < x\u2074\/x\u00b2\n1 < x\u00b2\nx\u00b2 > 1.\nAnswer D","dataset":"aqua_rat"}
{"question":"The mass of 1 cubic meter of a substance is 300 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)","options":["3.33","3.34","3.53","5.32"],"answer":"A","correct_option":"3.33","explanation":"300 kg - 1 cubic meter;\n300,000 g - 1 cubic meter;\n300,000 g - 1,000,000 cubic centimeters;\n1 g - 1,000,000\/300,000 = 10\/3 = 3.33 cubic centimeters.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"Which of the following is a prime number ?","options":["65","35","97","35"],"answer":"C","correct_option":"97","explanation":"C\n97\nExplanation: Clearly, 97 is a prime number.","dataset":"aqua_rat"}
{"question":"Many ionic compounds with relatively large cations and a 1:1 cation:anion ratio have this structure, which is called the what?","options":["boron chloride structure","hydrocarbon structure","analogous structure","cesium chloride structure"],"answer":"D","correct_option":"cesium chloride structure","explanation":"Common Structures of Binary Compounds As shown in part (a) in Figure 12.8 \"Holes in Cubic Lattices\", a simple cubic lattice of anions contains only one kind of hole, located in the center of the unit cell. Because this hole is equidistant from all eight atoms at the corners of the unit cell, it is called acubic hole. An atom or ion in a cubic hole therefore has a coordination number of 8. Many ionic compounds with relatively large cations and a 1:1 cation:anion ratio have this structure, which is called the cesium chloride structure (Figure 12.9 \"The Cesium Chloride Structure\") because CsCl is a common example.","dataset":"science"}
{"question":"he average of 25 numbers is zero. Of them, at the most, how many may be greater than zero?","options":["0","1","24","19"],"answer":"C","correct_option":"24","explanation":"Average of 25 numbers = 0.\nSum of 25 numbers (0 x 25) = 0.\nIt is quite possible that 24 of these numbers may be positive and if their sum is a the 25th number is (-a).\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters\nLook at this series: C19, E21, __, I25, K27, ... What number should fill the blank?","options":["D20","E21","F22","G23"],"answer":"B","correct_option":"E21","explanation":"B\nG23\nIn this series, the letters progress by 2, and the numbers increase by 2.","dataset":"aqua_rat"}
{"question":"An automobile engine transforms chemical energy into what?","options":["driving","Greenhouse gases","moving objects","Something to move"],"answer":"C","correct_option":"moving objects","explanation":"An automobile engine transforms chemical energy into moving objects.","dataset":"qasc"}
{"question":"what must organisms that live in maine biomes be adapted to?","options":["wetland","bamboo","heat","oceans"],"answer":"D","correct_option":"oceans","explanation":"organisms that live in marine biomes must be adapted to oceans","dataset":"qasc"}
{"question":"John and Tony began business with Rs.12000 and Rs.14000 after 8 months, John withdraws Rs.2000 and Tony withdraws Rs.4000. At the end of the year, their profits amounted to Rs.4500 find the share of Tony.","options":["2375","2325","2300","3375"],"answer":"A","correct_option":"2375","explanation":"(12*8 + 10*4):(14*8 + 10*4)\n17:19\n19\/36 * 4500 = 2375. Answer: A","dataset":"aqua_rat"}
{"question":"The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?","options":["30, 40","30, 47","30, 46","30, 498"],"answer":"A","correct_option":"30, 40","explanation":"Their present ages be 3X and 4X.\n5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7\nX = 35 - 25 => X = 10.\nTheir present ages are: 30, 40.\nAnswer: A","dataset":"aqua_rat"}
{"question":"A man can row 9km\/hrin still water. it takes him twice as long to row upas to row down the river find the rate of the stream Rate of the current ?","options":["2km\/hr","63.8km\/hr","8.9km\/hr","9.6km\/hr"],"answer":"A","correct_option":"2km\/hr","explanation":"Lets man's rate in upstream =xkm\/hr.\nman's rate down stream =2xkm\/hr. man's rate in still water =1\/2(x+2x)km\/hr ==>3x\/2=6==>x=4 The rate upstream=4km\/hr . The rate down stream=8km\/hr. Rate of the current=1\/2(8-4)km\/hr=2km\/hr\nAnswer is (A)","dataset":"aqua_rat"}
{"question":"Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km\/hr and 90 km\/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?","options":["48","93","24","23"],"answer":"C","correct_option":"24","explanation":"Relative speed = 60 + 90 = 150 km\/hr.\n150 * 5\/18 = 125\/3 m\/sec.\nDistance covered = 500 + 500 = 1000 m.\nRequired time = 1000 * 3\/125 = 24 sec.\nAnswer:C","dataset":"aqua_rat"}
{"question":"Fish use some of their fins to propel themselves through the water and others to do what?","options":["rest","reproduce","steer","breathe"],"answer":"C","correct_option":"steer","explanation":"Most fish have several fins for swimming. They use some of their fins to propel themselves through the water and others to steer the body as they swim.","dataset":"science"}
{"question":"Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1\/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 3125 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year period.","options":["1287","1285","1283","1280"],"answer":"D","correct_option":"1280","explanation":"Trees increase by 1\/4 the number of trees in preceding year. Hence, correct answer must be divisible by 4. Based on divisibility rules, if last 2 digits are divisible by 4 then the number is divisible by 4. Thus, we can eliminate A, B, C,E The answer to be D\nAgain, trees increase by 1\/4 the number of trees in preceding year. Hence, the number of trees increase by 5\/4 times the number of trees the preceding year.\nIf x = initial number of trees = 1280\nYear 1 = 5\/4x\nYear 2 = (5\/4)(5\/4)x\nYear 3 = (5\/4)(5\/4)(5\/4)x\nYear 4 = (5\/4)(5\/4)(5\/4)(5\/4)x\nOnly for Answer D: (5\/4)(5\/4)(5\/4)(5\/4)1280 = 3125\nHence, correct answer = D","dataset":"aqua_rat"}
{"question":"If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:","options":["3","2","1","5"],"answer":"A","correct_option":"3","explanation":"Answer: Option A\nGiven number = 97215x6\n(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.\nx = 3","dataset":"aqua_rat"}
{"question":"If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?","options":["12","18","20","24"],"answer":"C","correct_option":"20","explanation":"2:3\n2x + 10 : 3x + 10 = 3 : 4\n4[2x + 10] = 3[3x + 10]\n8x + 40 = 9x + 30\n9x - 8x = 40 - 30\nx = 10\nThen smallest number is = 2\n2x = 20\nC","dataset":"aqua_rat"}
{"question":"Light is scattered from what in our atmosphere?","options":["ions","molecules","matter","particles"],"answer":"B","correct_option":"molecules","explanation":"Light is scattered from the molecules in our atmosphere.","dataset":"science"}
{"question":"After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?","options":["1218","2777","1200","2688"],"answer":"C","correct_option":"1200","explanation":"CP* (76\/100) = 912\nCP= 12 * 100 => CP = 1200\nAnswer: C","dataset":"aqua_rat"}
{"question":"The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 78, and last 6numbers is 75 then find 6th number?","options":["A)258","B)65","C)58","D)62"],"answer":"A","correct_option":"A)258","explanation":"6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s\nanswer = 6*78+6*75-11*60 = 258\nAnswer is A","dataset":"aqua_rat"}
{"question":"Students are partnered in the class and are given stickers for their behavior. Green stickers are for good behavior, yellow stickers are for okay behavior, and red stickers for for behavior requiring discipline. The students' desks are labeled A, B, C, and D. If A:B = green\/yellow, B:C = yellow\/red, C:D = red\/student absent no sticker, and then D:A are partnered. What will D:A sticker color be if behavior does not change?","options":["green only","yellow only","red only","A & C"],"answer":"A","correct_option":"green only","explanation":"Solution\nA : B = green : yellow, B : C = yellow : red, C : D = red : student absent no sticker\n\u00e2\u02c6\u00b4A\u00e2\u02c6\u00b6B\u00e2\u02c6\u00b6C\u00e2\u02c6\u00b6D= green : yellow : red : student absent no sticker.\nThus, A : D = green : student absent no sticker Or D : A = student absent no sticker: green\nCorrect Option A","dataset":"aqua_rat"}
{"question":"A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?","options":["688","798","698","699"],"answer":"C","correct_option":"698","explanation":"S.I. for 1 year = Rs. (854 - 815) = Rs. 39.\nS.I. for 3 years = Rs.(39 x 3) = Rs. 117.\nPrincipal = Rs. (815 - 117) = Rs. 698.\nAnswer:C","dataset":"aqua_rat"}
{"question":"There are 300 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?","options":["200","175","150","125"],"answer":"C","correct_option":"150","explanation":"There are 297 managers and 3 others. The 3 others would compose 2% of the total number of people if there were 150 people in the room. Thus 150 managers must leave.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"Most air masses form over what two types of regions?","options":["polar and arctic","polar and tropical","marine and tropical","arctic and marine"],"answer":"B","correct_option":"polar and tropical","explanation":"Most air masses form over polar or tropical regions. They may form over continents or oceans. Air masses are moist if they form over oceans. They are dry if they form over continents. Air masses that form over oceans are called maritime air masses. Those that form over continents are called continental air masses. Figure below shows air masses that form over or near North America.","dataset":"science"}
{"question":"If the sum of two integers is 6, then it must be true that","options":["both integers are even","both integers are odd","both integers are positive","if one integer is negative, the other is positive"],"answer":"D","correct_option":"if one integer is negative, the other is positive","explanation":"We're asked to find a statement that MUST be true. So, if we can find a case where a statement is false, we can ELIMINATE that answer choice.\n(A) both integers are even : it could be the case that the numbers are 1 and 5. ELIMINATE A\n(B) both integers are odd : it could be the case that the numbers are 2 and 4. ELIMINATE B\n(C) both integers are positive : it could be the case that the numbers are -1 and 7. ELIMINATE C\n(D) if one integer is negative, the other is positive : Can't think of a counterexample so KEEP D for now\n(E) if one integer is positive, the other is negative : it could be the case that the numbers are 1 and 5. ELIMINATE E\nBy the process of elimination, the correct answer is D","dataset":"aqua_rat"}
{"question":"A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 8% special additives. If the machine needs exactly 40 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?","options":["a.\tA \u2013 53.33","b.\tB \u2013 280","c. C \u2013 290","d.\tD \u2013 300"],"answer":"A","correct_option":"a.\tA \u2013 53.33","explanation":"5%*x + 8% *(480-x)=40\n1.6 = 3 %*x\nx=53.33\nA","dataset":"aqua_rat"}
{"question":"The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?","options":["125","189","297","267"],"answer":"A","correct_option":"125","explanation":"Sum of the 35 numbers = 35 * 25 = 875\nIf each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.\nThus, the new average = 25 * 5\n= 125.\nAnswer:A","dataset":"aqua_rat"}
{"question":"The banker's discount on $1600 at 15% per annum is the same as true discount on $1680 for the same time and at the same rate. The time is:","options":["2 months","1 months","4 months","8 months"],"answer":"C","correct_option":"4 months","explanation":"S.I. on $1600 = T.D. on $1680.\nTHEREFORE $1600 is the P.W. of $1680, i.e., $80 is on $1600 at 15%.\nTime =(100 x 80\/ 1600 x 15) year\t=\t1\/3\tyear = 4 months.\nANSWER:C","dataset":"aqua_rat"}
{"question":"Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come. Conclusions: 1) The population of developing countries will not continue to increase in future. 2) It will be very difficult for the governments of developing countries to provide its people decent quality of life.","options":["Only conclusion I follows","Only conclusion II follows","Either I or II follows","Neither I nor II follows"],"answer":"B","correct_option":"Only conclusion II follows","explanation":"The fact given in I is quite contrary to the given statement. So, I does not follow. II mentions the direct implications of the state discussed in the statement. Thus, II follows.\nB","dataset":"aqua_rat"}
{"question":"65% of x = 20% of 552.50. Find the value of x?","options":["100","170","150","180"],"answer":"B","correct_option":"170","explanation":"65% of x = 20% of 552.50\nThen, 65\/100 * x = 20\/100 * 5525\/10\nx = 170\nAnswer is B","dataset":"aqua_rat"}
{"question":"How long does a train 140 m long running at the speed of 72 km\/hr takes to cross a bridge 132 m length?","options":["13.6 sec","12.1 sec","17.9 sec","16.8 sec"],"answer":"A","correct_option":"13.6 sec","explanation":"Speed = 72 * 5\/18 = 20 m\/sec\nTotal distance covered = 140 + 132 = 272 m.\nRequired time = 272\/20 = 13.6 sec.\nAnswer: A","dataset":"aqua_rat"}
{"question":"Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?","options":["10","88","267","28"],"answer":"A","correct_option":"10","explanation":"Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.\nx + y = 7 --- (1) ; 2x = 4 --- (2)\nsolving both the equations, we get y = 5\nSo, time taken to cover both ways by cycle = 2y hours = 10 hours.\nAnswer: A","dataset":"aqua_rat"}
{"question":"Arun, Akash, Amir and Aswanth go for a picnic. When Arun stands on a weighing machine, Akash also climbs on, and the weight shown was 132 kg. When Akash stands, Amir also climbs on, and the machine shows 130 kg. Similarly the weight of Amir and Aswanth is found as 102 kg and that of Akash and Aswanth is 116 kg. What is Aswanth\u2019s weight?","options":["58kg","78 kg","44 kg","48 kg"],"answer":"C","correct_option":"44 kg","explanation":"arun+akash=132-----eq1\nakash+amir=130------eq2\namir+aswanth=102------eq3\nakash+aswanth=116-------eq4\nsolving eq 2 and 4\nwe get amir-aswanth=14-------eq5\nnow solving eq 3 and 5\nwe get aswanth=44\nANSWER:C","dataset":"aqua_rat"}
{"question":"65% of x = 20% of 422.50. Find the value of x?","options":["100","130","150","180"],"answer":"B","correct_option":"130","explanation":"65% of x = 20% of 422.50\nThen, 65\/100 * x = 20\/100 * 4225\/10\nx = 845\/10 * 100\/65 = 130\nAnswer is B","dataset":"aqua_rat"}
{"question":"How are genetic traits passed down to offspring?","options":["Through mucus","Through chromosomes","Through bacteria","Plant reproduction"],"answer":"B","correct_option":"Through chromosomes","explanation":"Genetic traits are passed down to offspring through chromosomes","dataset":"qasc"}
{"question":"A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?","options":["50 kmph","62 kmph","54 kmph","74 kmph"],"answer":"B","correct_option":"62 kmph","explanation":"B\n54 kmph\nS = 240\/16 * 18\/5 = 54 kmph","dataset":"aqua_rat"}
{"question":"If a = 0.1039, then the value of \u00e2\u02c6\u01614a2 - 4a + 1 + 3a is:","options":["0.1039","0.2078","1.1039","2.1039"],"answer":"C","correct_option":"1.1039","explanation":"Explanation:\n\u00e2\u02c6\u01614a2 - 4a + 1 + 3a = \u00e2\u02c6\u0161(1)2 + (2a)2 - 2 x 1 x 2a + 3a\n=\u00e2\u02c6\u0161(1 - 2a)2 + 3a\n= (1 - 2a) + 3a\n= (1 + a)\n= (1 + 0.1039)\n= 1.1039\nANSWER IS C","dataset":"aqua_rat"}
{"question":"Soymilk are sold in packages of two or three only. If Hannah bought 17 Soymilk exactly, what could be the number of large packs Hannah bought?","options":["1","4","3","5"],"answer":"C","correct_option":"3","explanation":"Let number of packs of three = t\nlet number of packs of two = w\n3t + 2w = 17\nNow , we need to test for values of w .\nSince sum 17 is odd and 2w will always be even, therefore w can't be even .\nNow , we can test for values w = 1 , 3 and 5\n2*4 + 3*3 = 8 + 9 = 17\nAnswer C","dataset":"aqua_rat"}
{"question":"A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?","options":["20 kmph","40 kmph","30 kmph","55 kmph"],"answer":"C","correct_option":"30 kmph","explanation":"US = 25\nDS = 35\nM = (35 + 25)\/2 = 30\nAnswer:C","dataset":"aqua_rat"}
{"question":"The paragraph can start only with the sentence E. The opening words of the sentence of \u2018B\u2019 \u2013 \u2018these two parties\u2019 is a continuation of the last words of the sentence E\u2013 \u2018two parties\u2019. There are only two options with EB; in the option 4, D follows B; but whom the opening pronoun \u2018he\u2019 of D does refer to? F is the further explanation of B. Hence EBFCAD.","options":["11","77","26","99"],"answer":"B","correct_option":"77","explanation":"Answer:\tB","dataset":"aqua_rat"}
{"question":"12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?","options":["5 days","6 days","7 days","8 days"],"answer":"D","correct_option":"8 days","explanation":"That is, 1 work done = 12 \u00d7 8 \u00d7 10\nThen, 12 8 \u00d7 10 = ? \u00d7 15 \u00d7 8\n? (i.e. No. of men required) = 12 \u00d7 8 \u00d7 10\/15\u00d7 10 = 8 days\nD)","dataset":"aqua_rat"}
{"question":"In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?","options":["209","145","321","521"],"answer":"A","correct_option":"209","explanation":"We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).\nRequired number\nof ways\t= (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)\n= (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)\n= (24 + 90 + 80 + 15)\n= 209.\nAns: A","dataset":"aqua_rat"}
{"question":"The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made?","options":["Rs. 1,10,000","Rs. 1,20,000","Rs. 1,24,000","Rs. 1,21,000"],"answer":"C","correct_option":"Rs. 1,24,000","explanation":"The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000\nSP such that a profit of Rs. 24,000 is made = 96,000 + 28,000 = Rs. 1,24,000\nANSWER:C","dataset":"aqua_rat"}
{"question":"The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?","options":["794 m","704 m","454 m","186 m"],"answer":"B","correct_option":"704 m","explanation":"In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.\n= 500 * 2 * 22\/7 * 22.4\n= 70400 cm\n= 704 m\nAnswer: B","dataset":"aqua_rat"}
{"question":"The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?","options":["81:121","81:131","81:145","81:167"],"answer":"A","correct_option":"81:121","explanation":"Ratio of the sides\n= \u00b3\u221a729 : \u00b3\u221a1331 = 9 : 11\nRatio of surface areas\n= 92 : 112 = 81:121\nAnswer:A","dataset":"aqua_rat"}
{"question":"An error 19% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?","options":["6.64%","41.61%","45.64%","46.64%"],"answer":"B","correct_option":"41.61%","explanation":"Percentage error in calculated area\n=(19+19+(19\u00c3\u201419)\/100)%=41.61%\nANSWER:B","dataset":"aqua_rat"}
{"question":"V is the volume of a cylinder; the radius r is 3.4. The height is 350% more than the radius. Which of the following is true?","options":["100 < V < 300","300 < V < 500","500 < V < 700","700 < V < 900"],"answer":"C","correct_option":"500 < V < 700","explanation":"As we see the answers are in form of range we can use approximation\nVolume of cylinder is \u03c0r^2h\nGiven \u03c0= 22\/7 and r = 3.4 so r^2 ~ 12 and h = 4.5 * 3.4 ~ 15\nSo 22\/7 * 12 * 15 = 566\nso answer should be\nC. 500 < V < 700\nAnswer : C","dataset":"aqua_rat"}
{"question":"John want to buy a $100 Trouser at the store, but he think it\u00e2\u20ac\u2122s too expensive. Finally, it goes on sale for $50. What is the percent decrease?","options":["20%","30%","40%","50%"],"answer":"D","correct_option":"50%","explanation":"The is always the difference between our starting and ending points. In this case, it\u00e2\u20ac\u2122s 100 \u00e2\u20ac\u201c 50 = 40. The \u00e2\u20ac\u0153original\u00e2\u20ac\u009d is our starting point; in this case, it\u00e2\u20ac\u2122s 100. (50\/100)*100 = (0.5)*100 = 50%.\nD","dataset":"aqua_rat"}
{"question":"The annual interest rate earned by an investment increased by 11 percent from last year to this year. If the annual interest rate earned by the investment this year was 22 percent, what was the annual interest rate last year?","options":["17%","19%","18%","20%"],"answer":"D","correct_option":"20%","explanation":"let i = interest rate\ni(this year) = i(last year) + 0.11i(last year) = 1.11i(last year)\n22 = 1.11 x i(last year)\ni(last year) = 22\/1.1 = 220\/11 = 20%\nAnswer : D","dataset":"aqua_rat"}
{"question":"A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is :","options":["45 runs","46 runs","48 runs","49 runs"],"answer":"C","correct_option":"48 runs","explanation":"10(x-8) + 108 = 11x , x = 48 . This is the shortest way\nor\n10*6=60 runs for 10 innings and 108 in 11th innings then 108-60=48 runs\nANSWER:C","dataset":"aqua_rat"}
{"question":"Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 12 scones must be equal to which of the following?","options":["Y\/5","3Y\/10","100Y\/(15X)","XY\/250"],"answer":"B","correct_option":"3Y\/10","explanation":"Rachel eats 4 scones\/10 minutes = 2\/5 scones per minute\nThe time for Rachel to eat 1 scone is 5\/2 minutes.\nThe time for Rachel to eat Y scones is 5Y\/2 minutes.\nThe time for Henry to eat X scones is 5YX\/200 minutes.\nThe time for Henry to eat 1 scone is 5Y\/200 minutes.\nThe time for Henry to eat 12 scones is 60Y\/200 = 3Y\/10 minutes.\nThe answer is B.","dataset":"aqua_rat"}
{"question":"There is a total of 90 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1\/6 and the probability that it will be green is 1\/5. What is the probability that the marble will be either red or blue?","options":["3\/5","7\/15","11\/15","19\/30"],"answer":"D","correct_option":"19\/30","explanation":"P(red or blue) = 1 - P(white) - P(green) = 30\/30 - 5\/30 - 6\/30 = 19\/30\nThe answer is D.","dataset":"aqua_rat"}
{"question":"If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet?","options":["90","100","110","120"],"answer":"D","correct_option":"120","explanation":"The projectiles travel a total of 999 km per hour.\nThe time to meet is 1998\/999=2 hours = 120 minutes\nThe answer is D.","dataset":"aqua_rat"}
{"question":"Adding salt to liquid decreases what?","options":["light","energy","magnetism","thawing temp"],"answer":"D","correct_option":"thawing temp","explanation":"","dataset":"science"}
{"question":"In a village of 100 households, 75 have at least one DVD player, 85 have at least one cell phone, and 70 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x \u2013 y is:","options":["65","55","40","35"],"answer":"C","correct_option":"40","explanation":"Am I missing something here??? it seems straightforward......\nThe obvious maximum that have all 3 is 70, because you are limited by the SMALLEST number.\nThe minimum is simply the sum of the max of each people who DONT have the product, so:\n100-85 = 15 don't have Cell\n100-75 = 25 don't have DVD\nand 100-70 = 30 don't have MP3\nSO a total of 15+25+30 = 70 combined who might NOT have SOME combination of the 3 products. So subtract that from 100, to give you the minimum of the people who COULD have all 3 and you get 100-70 = 30.\n70-30 = 40\nC","dataset":"aqua_rat"}
{"question":"A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?","options":["69.5 km\/hr","70 km\/hr","79 km\/hr","79.2 km\/hr"],"answer":"D","correct_option":"79.2 km\/hr","explanation":"Let the length of the train be x m and its speed be y m\/sec.\nThen, x\/y = 8 => x = 8y\n(x + 264)\/20 = y\ny = 22\nSpeed = 22 m\/sec = 22 * 18\/5 = 79.2 km\/hr.\nANSWER:D","dataset":"aqua_rat"}
{"question":"what unites to form a diploid zygote?","options":["plant reproduction","Most plants","orchids","sperm and ova"],"answer":"D","correct_option":"sperm and ova","explanation":"sperm and ova unite to form a diploid zygote","dataset":"qasc"}
{"question":"If x = y+3+4.5x and y = x+17, what is the value of x\/y ?","options":["-6\/5.","-40\/113.","1\/4.","5\/6."],"answer":"B","correct_option":"-40\/113.","explanation":"(1) x = y + 3 + 4.5x\nSubstitute y for y = x + 17 (Eq. we are given)\nx = x + 17 + 3 + 4.5x\nCombine like terms\nx = 5.5x + 20 --> -4.5x = 20 --> x = -40\/9\n(2) y = x + 17\nSubstitute x for x = -40\/9\ny = (-40\/9) + 17 = 113\/9\n(3) x\/y = ?\nSubstitute x and y we found above\nx\/y = (-40\/9) \/ (113\/9) = (-40\/9) * (9\/113) = -40\/113\nMy answer: B","dataset":"aqua_rat"}
{"question":"If x is an integer, then x(x \u2013 1)(x \u2013 k) must be evenly divisible by six when k is any of the following values EXCEPT","options":["-4","-2","-1","2"],"answer":"D","correct_option":"2","explanation":"We have the product of 3 integers: (x-1)x(x-k).\nNote that the product of 3 integers is divisible by 6 if at least one multiple is divisible by 6. Now, to guarantee that at least one integer out of x, (x \u2013 1), and (x \u2013 k) is divisible by 6 these numbers must have different remainders upon division by 3, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 6.\nNext, if k=2 then we'll have (x-1)x(x-2)=(x-1)x(x-2) --> which means that (x-1) and (x-2) will have the same remainder upon division by 6. Thus for k=2 we won't be sure whether (x-1)x(x-k) is divisible by 6.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"what are living things that cannot make their own food?","options":["hydrogen","clouds","animals","humans"],"answer":"C","correct_option":"animals","explanation":"animals are living things that cannot make their own food","dataset":"qasc"}
{"question":"If 4 men working 10 hours a day earn Rs. 1000 per week, then 9 men working 6 hours a day will earn how much per week?","options":["Rs 840","Rs 1350","Rs 1620","Rs 1680"],"answer":"B","correct_option":"Rs 1350","explanation":"Explanation :\n(Men 4:9) : (Hrs\/Day 10:6) :: 1000 : x\nhence 4 * 10 *x = 9 * 6 * 1000\nor x = 9*6*1000\/ 4*10 = 1350\nAnswer : B","dataset":"aqua_rat"}
{"question":"If the price of a certain computer increased 30 percent from a dollars to 351 dollars, then 2a =","options":["540","570","619","649"],"answer":"A","correct_option":"540","explanation":"Before Price increase Price = a\nAfter 30% Price increase Price = a+(30\/100)*a= 1.3a = 351 (Given)\ni.e. a= 351\/1.3 = $270\ni.e. 2a = 2*270 = 540\nAnswer: option A","dataset":"aqua_rat"}
{"question":"How Many 7\u00e2\u20ac\u2122s are there in the following sequence which are immediately preceded by 6 but not immediately followed by 4?\n6 7 4 2 7 4 9 3 6 7 1 9 4 7 2 9 6 7 1 3 6 7 4 3 6","options":["1","2","3","4"],"answer":"B","correct_option":"2","explanation":"Answer: B . 2","dataset":"aqua_rat"}
{"question":"If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?","options":["2662","1286","1987","8112"],"answer":"D","correct_option":"8112","explanation":"Explanation:\nA = 7500(26\/25)2 = 8112\nAnswer:D","dataset":"aqua_rat"}
{"question":"If the product of the integers from 1 to n is divisible by 1029, what is the least possible value of n?","options":["7","14","21","28"],"answer":"C","correct_option":"21","explanation":"1029 = 7 x 7 x 7 x 3\nN must include at least 7, 2*7, and 3*7.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"The average of 45 students in a class is 18 years. The average age of 21 students is 16. What is the average age of remaining 14 students?","options":["21","16","17","18"],"answer":"D","correct_option":"18","explanation":"Sum of the ages of 14 students\n= (18* 45) - (18 * 21) = 810 - 378 = 432\nRequired average = (266\/23)\n= 18 years.\nAnswer: D","dataset":"aqua_rat"}
{"question":"what requires great amounts of water to survive","options":["sunlight","beavers","octopus","mussels"],"answer":"B","correct_option":"beavers","explanation":"beavers require great amounts of water to survive","dataset":"qasc"}
{"question":"A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?","options":["17","16","70","36"],"answer":"D","correct_option":"36","explanation":"1\/12 - 1\/18 = 1\/36\n36 minutes\nAnswer: D","dataset":"aqua_rat"}
{"question":"There are w members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of w?","options":["11","12","15","18"],"answer":"B","correct_option":"12","explanation":"Combinations of two persons, in which Michael was not selected = 55\nnumber of ways two persons can be selected from m people = m*(m-1)\/2\nLet m be the number of people excluding Michael, then m*(m-1) = 110 => m=11\nThus, w = m + 1(Michael) = 12\noption B","dataset":"aqua_rat"}
{"question":"Find the principle on a certain sum of money at 5% per annum for 2 2\/5 years if the amount being Rs.1792?","options":["1600","2777","2889","27670"],"answer":"A","correct_option":"1600","explanation":"1792 = P [1 + (5*12\/5)\/100]\nP= 1600.Answer:A","dataset":"aqua_rat"}
{"question":"If x and y are integers and x divided by y is 19.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3","options":["I,III only","II only","I only","III only"],"answer":"A","correct_option":"I,III only","explanation":"x=19.15y from which x = 19y + 15y\/100 or x = 19y + 3y\/20.\nSince x and y are integers, 3y\/20 must also be an integer. 3 is not divisible by 20, then y must be divisible by 20, and therefore, y\/20 is an integer and 3y\/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3.\nAnswer A","dataset":"aqua_rat"}
{"question":"Which of the following must be an integer if the integer x is divisible by both 28 and 21?","options":["x\/252","x\/84","x\/126","x\/108"],"answer":"B","correct_option":"x\/84","explanation":"the integer has to be multiple of LCM of 28 and 21, which is 84..\nso x\/84 will be an integer\nans B","dataset":"aqua_rat"}
{"question":"What does a planet receive more of when it is tilted?","options":["light","sun","Energy.","rain"],"answer":"A","correct_option":"light","explanation":"a hemisphere receives less sunlight when it points away","dataset":"qasc"}
{"question":"Find the average of all the numbers between 6 and 34 which are divisible by 5","options":["18","20","24","30"],"answer":"B","correct_option":"20","explanation":"Exp. Multiples of 5 between 6 and 34 are 10,15,20,25,30\nAverage = (10+15+20+25+30)\/5 =5(10+30)\/2*5 = 40\/2 =20\nAnswer:B","dataset":"aqua_rat"}
{"question":"How many different letter arrangements can be made from the letters of the word RECOVER?","options":["1210","5040","1260","1200"],"answer":"C","correct_option":"1260","explanation":"Possible arrangements are :\n7!\/2!\u00d72!=1260 [division by 2 times 2! is because of the repetition of E and R]\nAnswer C","dataset":"aqua_rat"}
{"question":"Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?","options":["20","21","22","23"],"answer":"D","correct_option":"23","explanation":"The part of her salary that is spent on food is $280 out of her monthly salary of $1200\npercent = part \/ whole = 280 \/ 1200 = 0.23 (rounded to 2 decimal places)\nMultiply and divide 0.23 by 100 to convert in percent\npercent = 0.23 * 100 \/ 100 = 23 \/ 100 = 23%\nOption D is correct.","dataset":"aqua_rat"}
{"question":"In an examination 60% failed in Math and 40% failed in French. If 15% failed in both. What % of students passed in both.","options":["25%","15%","20%","30%"],"answer":"B","correct_option":"15%","explanation":"Passed in Math = 100 - 60 = 40%\nPassed in French = 100 - 40 = 60%\nStudents who passed Math or French = 100 -15 = 85%\nStudents passed in Math and French = (Passed in Math) + (Passed in French) - (Students who passed Math or French) = 60+40-85 =15%\nANSWER:B","dataset":"aqua_rat"}
{"question":"A can do a piece of work 60 days. B can do work in 90 days. In how many days they will complete the work together?","options":["36 days","32 days","19 days","17 days"],"answer":"A","correct_option":"36 days","explanation":"LCM = 180, Ratio= 60:90=2:3\nNo of days= 180\/(2 + 3) = 180\/5 = 36 days\nANSWER:A","dataset":"aqua_rat"}
{"question":"A train 125 m long passes a man, running at 5 km\/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?","options":["28","50","99","121"],"answer":"B","correct_option":"50","explanation":"Speed of the train relative to man = 125\/10 = 25\/2 m\/sec.\n= 25\/2 * 18\/5 = 45 km\/hr\nLet the speed of the train be x km\/hr. Then, relative speed = (x - 5) km\/hr.\nx - 5 = 45 => x = 50 km\/hr.\nAnswer: B","dataset":"aqua_rat"}
{"question":"Lines y=\u221a2\u00b7x+2 and y=3\u221a2\u00b7x\u22121 intersect at what height above the x axis?","options":["(13\u221a2)\/2","13\/2","13","2"],"answer":"B","correct_option":"13\/2","explanation":"Solve two equations for y\ny=\u221a2\u00b7x+2\ny=3\u221a2\u00b7x\u22121\nSet the two equations equal to each other and solve for x\n\u221a2\u00b7x+2 = 3\u221a2\u00b7x\u22121\n3 = 2\u221a2\u00b7x\n3\/(2\u221a2) = x\nPlug x = 3\/(2\u221a2) into any one of the original equations to find the y value (height above x axis) where the two lines intersect\ny=\u221a2\u00b7x+2\ny=\u221a2\u00b7(3\/(2\u221a2))+2\ny = 3\/2 + 5\ny = 3\/2 + 10\/2\ny = 13\/2\nFinal answer:\nB) 13\/2","dataset":"aqua_rat"}
{"question":"Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 40 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?","options":["20","34","38","40"],"answer":"C","correct_option":"38","explanation":"Nice question +1\nWe have that X\/24 - (60-X)\/2R = 40\nAlso X\/R - (60-X)\/2R = 120\nSo we get that 2x - 60 = 80R\n3x - 60 = 240R\nGet rid of R\n120 = 3x\nx = 38\nHence answer is C","dataset":"aqua_rat"}
{"question":"A person covered one-fourth of the total distance at 6 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?","options":["10(5\/7)kmph","21(2\/3) kmph","13 (5\/7)kmph","15 (5\/7)kmph"],"answer":"C","correct_option":"13 (5\/7)kmph","explanation":"Let the total distance be x km\ntotal time taken = (x\/4)\/6 + (3x\/4)\/24 = x\/24 + x\/32 = 7x\/96\nAverage speed = x\/(7x\/96) = 96\/7kmph = 13 (5\/7)kmph.\nANSWER:C","dataset":"aqua_rat"}
{"question":"One component of rock formations in caves is","options":["liberal tears","bat urine","salty ocean water","granite statues"],"answer":"B","correct_option":"bat urine","explanation":"","dataset":"science"}
{"question":"How many revolutions does the moon make around the Earth during spring?","options":["one","six","three","twelve"],"answer":"C","correct_option":"three","explanation":"","dataset":"science"}
{"question":"A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?","options":["200 Sec","190 Sec","167 Sec","197 Sec"],"answer":"B","correct_option":"190 Sec","explanation":"L = S*T\nS= 1200\/120\nS= 10 m\/Sec.\nTotal length (D)= 1900 m\nT = D\/S\nT = 1900\/10\nT = 190 Sec\nAnswer: B","dataset":"aqua_rat"}
{"question":"In a 100-mile trip, the first 30 miles were completed at 60 mph. If the average speed for the whole trip was 40 mph, what was the average speed in the last 70 miles?","options":["30 mph","32 mph","35 mph","37 mph"],"answer":"C","correct_option":"35 mph","explanation":"The time to complete the first 30 miles was (30 miles \/ 60 mph) = (1\/2) hours.\nThe time to complete the whole trip was (100 miles \/ 40 mph) = (5\/2) hours.\nThe time to complete the last 70 miles was (5\/2) - (1\/2) = (2) hours.\nThe average speed in the last 70 miles was (70 miles \/ 2 hours) = 35 mph.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"Find the fourth proportional to 2.4, 4.6 and 7.6?","options":["14","14.56","15.14","15.17"],"answer":"B","correct_option":"14.56","explanation":"Formula = Fourth proportional = (b \u00d7 c)\/a\nA = 2.4 , B = 4.6 and C = 7.6\n(4.6 \u00d7 7.6)\/2.4 = 14.56\nB","dataset":"aqua_rat"}
{"question":"The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?","options":["887","267","342","276"],"answer":"C","correct_option":"342","explanation":"400*(90\/100)*(95\/100)\n= 342\nAnswer: C","dataset":"aqua_rat"}
{"question":"What is the remainder when you divide 2^200+2 by 7?","options":["1","2","3","6"],"answer":"D","correct_option":"6","explanation":"answer is D. this is very similar to the 32^32^32+2 divided by 7 question.","dataset":"aqua_rat"}
{"question":"The G.C.D of 1.08, 0.42 and 0.9 is","options":["0.19","0.1","0.06","0.11"],"answer":"C","correct_option":"0.06","explanation":"Explanation:\nGiven numbers are 1.08 , 0.42 and 0.90\nH.C.F of 108, 42 and 90 is 6 [because G.C.D is nothing but H.C.F]\ntherefore H.C.F of given numbers = 0.06\nAnswer: C)","dataset":"aqua_rat"}
{"question":"If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.","options":["110","120","130","140"],"answer":"B","correct_option":"120","explanation":"Explanation:\nlet length = x and breadth = y then\n2(x+y) = 46 => x+y = 23\nx\u00b2+y\u00b2 = 17\u00b2 = 289\nnow (x+y)\u00b2 = 23\u00b2\n=>x\u00b2+y\u00b2+2xy= 529\n289+ 2xy = 529\n=> xy = 120\narea =xy=120 sq. cm Answer: B","dataset":"aqua_rat"}
{"question":"Average of 15 results is 43. If the average of first seven results is 41 and average of last seven results is 45 Then find the eighth result?","options":["41","39","43","45"],"answer":"C","correct_option":"43","explanation":"Option 'C'","dataset":"aqua_rat"}
{"question":"In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)","options":["L(L-N) \/L-M","L(N-M) \/ L-M","L-N","M-N"],"answer":"A","correct_option":"L(L-N) \/L-M","explanation":"the ans is quite simple N-M but since the ans is not given, the best way to 'find' the correct option is to plug in the numbers. For my work, i took the following numbers:\nL = 200\nM = 10\nN =20.\nSo basically, L beat G by 20 meters. Now whatever options comes close to the figure 10 is the right ans..\nlooking the the opion C to E, one can make out that they are incorrect, A.\nOut of which, i choose A.","dataset":"aqua_rat"}
{"question":"A train starts from Delhi at 6.00 a.m. and reaches Meerut at 10 a.m. The other train starts from Meerut at 8 a.m. and reaches Delhi at 11.30 a.m. If the distance between Delhi and Meerut is 200 km, then at what time did the two trains meet each other?","options":["8.56 a.m","8.46 a.m","7.56 a.m","8.30 a.m"],"answer":"A","correct_option":"8.56 a.m","explanation":"The Speed of the train starting from Delhi = 200\/4 = 50 km\/h\nThe Speed of train starting from Meerut = 200\/3.5 = 400\/7 km\/h\nSuppose the two trains meet x hours after 6.00 am\nThen x X 50 + (x - 2) x 400\/7 = 200\nor, 350x + 400x - 800 = 1400\nor, 750x = 2200\nor, x = 2200\/750 = 2h 56 min\nHence, the required time = 8.56 am\nANSWER:A","dataset":"aqua_rat"}
{"question":"Robin's average (arithmetic mean) test score on 9 tests is 82. What must be Robin's score on a 10th test for his average score on the 10 tests to be 83?","options":["92","82","72","62"],"answer":"A","correct_option":"92","explanation":"(9*82+x)\/10=83\nx=(10*83)-(9*82)\nx= 830 - 738\ntotal score required 830 - 738=92\nCorrect answer is A","dataset":"aqua_rat"}
{"question":"If T = 5\/9 * (K - 32), and if T = 20, then what is the value of K?","options":["68","70","72","74"],"answer":"A","correct_option":"68","explanation":"K-32=9T\/5\nK=9T\/5 + 32\nK=9(20)\/5 + 32 = 68\nThe answer is A.","dataset":"aqua_rat"}
{"question":"The average of 5 numbers is 7.4. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 9.2. What number is multiplied by 3?","options":["1.5","3.0","3.9","4.5"],"answer":"D","correct_option":"4.5","explanation":"The average of 5 numbers is 7.4\nThe sum of 5 numbers will be 7.4 x 5 = 37\nThe average of 5 number after one of the number is multiplied by 3 is 9.2\nThe sum of the numbers will now be 9.2 x 5 = 46\nSo the sum has increased by 46-37 = 9\nLet the number multiplied by 3 be n\nThen,\n3n = n+9\nor 2n = 9\nor n = 4.5\nAnswer:- D","dataset":"aqua_rat"}
{"question":"A car after covering \u00bd of a journey of 100 km develops engine trouble and later travels at \u00bd of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?","options":["11","67","88","25"],"answer":"D","correct_option":"25","explanation":"[50\/x + 50\/(x\/2)] \u2013 100\/x = 2\nx = 25\nAnswer:D","dataset":"aqua_rat"}
{"question":"A lady bought five books namely A,B,C,D,E to distribute her 3 child. How many ways she can distribute books?","options":["3^3","3^4","3^5","3^6"],"answer":"C","correct_option":"3^5","explanation":"3*3*3*3*3\n3^5\nANSWER:C","dataset":"aqua_rat"}
{"question":"The difference between compound interest and simple interest on an amount of $15,000 for 2 years is $96. What is the rate of interest per annum?","options":["6%","7%","9%","8%"],"answer":"D","correct_option":"8%","explanation":"[15000 x (1 + R\/100)^2 - 15000] - [(15000 x R x 2)\/100] = 96\n==> 15000[(1 + R\/100)^2 - 1 - 2R\/100] = 96\n==> 15000[((100 + R)^2 - 10000 - (200 x R))\/10000] = 96\n==> R^2 = (96 x 2)\/3 = 64\n==> R = 8. Rate = 8%\nAnswer D)8%","dataset":"aqua_rat"}
{"question":"In expressing a length 81.469 km as nearly as possible with three significant digits, find the percentage error?","options":["0.075%","0.156%","0.034%","0.038%"],"answer":"D","correct_option":"0.038%","explanation":"Error = 81.5-81.469 = 0.031\nRequired percentage = (0.031\/81.469)*100 = 0.038%\nAnswer is D","dataset":"aqua_rat"}
{"question":"The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:","options":["10 d","0 d","15 d","5 d"],"answer":"A","correct_option":"10 d","explanation":"Angle traced hr 13\/3 = (360\/12 * 13\/3) = 130\ntraced by min hand 20 min = (360\/60*20) = 120\nreq = (130-120) = 10 d\nANSWER A","dataset":"aqua_rat"}
{"question":"If p and y are both odd prime numbers and p < y, how many distinct positive integer factors does 2py have?","options":["3","4","6","8"],"answer":"D","correct_option":"8","explanation":"Since 2py prime factors are p^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think D would be the correct answer.","dataset":"aqua_rat"}
{"question":"What are resources that don't run out?","options":["residual resources","general resources","orbital resources","renewable resources"],"answer":"D","correct_option":"renewable resources","explanation":"Renewable resources can be renewed as they are used. An example is timber , which comes from trees. New trees can be planted to replace those that are cut down. Sunlight is a renewable resource. It seems we will never run out of that! What are some other renewable resources?.","dataset":"science"}
{"question":"Hydrostatic skeletons are well suited for life in what kind of environments?","options":["pelagic","aquatic","bacterial","surface"],"answer":"B","correct_option":"aquatic","explanation":"","dataset":"science"}
{"question":"A walks with a speed of 6 km\/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km\/hr. At what distance from start will B catch A.","options":["100","110","120","140"],"answer":"C","correct_option":"120","explanation":"In 5hrs, A will cover 30 km. Now, at some distance \u2018x\u2019. So A will cover X distance and B will cover 30 + X.\rx\/6 = (30+x)\/8\rx = 90. So distance from start after which B will catch A = 90+30 =120km Answer : C","dataset":"aqua_rat"}
{"question":"Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?","options":["5","6","1","7"],"answer":"A","correct_option":"5","explanation":"2M + 3W ----- 35 h\n4M + 4W ------- 21 h\n7M -------? d\n70M + 105W = 84M +84M\n21W = 14M => 2M = 3W\n4 * 35 = 7 * x => x = 20 hours\n20\/4 = 5 days\nAnswer: A","dataset":"aqua_rat"}
{"question":"If a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet, what is the length of each of the shorter sides?","options":["4","7","8","13"],"answer":"C","correct_option":"8","explanation":"This question can be solved algebraically or by TESTing THE ANSWERS.\nWe're told that a rectangle has an area of 120 and a perimeter of 46. We're asked for the length of one of the SHORTER sides of the rectangle.\nSince the answers are all INTEGERS, and the area is 120, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 120,\nLet's TEST Answer C: 8\nIF...\nThe shorter side = 8...\nThe area = 120....120\/8 = 15 = the longer side\nPerimeter = 8+8+15+15 = 46\nC","dataset":"aqua_rat"}
{"question":"Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 400 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?","options":["1:40 PM","1:50 PM","2:00 PM","2:10 PM"],"answer":"C","correct_option":"2:00 PM","explanation":"Say time needed for Abby to type 200 more words than Bobby is t. In that time she would type 80t words and Bobby would type 60t words.\nNow, total words typed by Bobby would be 600+60t and we want that number to be 200 less than 80t: 400+60t=80t-200 --> t=30.\n1:30 PM + 30 minutes = 2:00 PM.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"How much interest can a person get on Rs. 7200 at 17.5% p.a. simple interest for a period of two years and six months?","options":["Rs. 4150","Rs. 3850","Rs. 3770","Rs. 3150"],"answer":"D","correct_option":"Rs. 3150","explanation":"I = (7200 * 2.5 * 17.5)\/100 = (7200 * 5 * 35)\/(100 * 2 * 2)\n= Rs. 3150\nANSWER:D","dataset":"aqua_rat"}
{"question":"In the decimal expansion of (2\/5)^8 what is the eighth digit to the right of the decimal point?","options":["6","5","4","3"],"answer":"A","correct_option":"6","explanation":"Step 1 Convert fraction to decimal with two decimal places 2\/5 = 0.40 then convert to scientific number = 4*10^-1\nStep 2 Multiply 4^8 by 10^-8\nStep 3 4 has the sequence 4, 16, 64\nAnswer is A","dataset":"aqua_rat"}
{"question":"Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4,3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (4,3). What would be the exact root of the original quadratic equation ?","options":["(6, 1)","(-3,-4)","( 4, 3)","(-4, -3)"],"answer":"A","correct_option":"(6, 1)","explanation":"Explanation :\nEquation of quadratic equation is\nax2 + bx + c = 0 .\nx2 + bx + c = 0 . First roots = (4, 3)\nSum of the roots -b \/ a = -7 .\n=> b = 7.\nProduct of the roots = c \/ a = 12.\n=> c =12.\n\u2234 Equation formed x2 \u2013 7b + 12 = 0 ............ (i)\nAnother boy gets the wrong roots (2, 3).\n\u2234 Sum of the roots = -b \/ a = -5.\n=> b = 5.\nProducts of the roots = c \/ a = 6.\n=> c = 6.\nEquation formed x2 \u2013 5b + 6 = 0 ............ (ii)\nx2 + b\u2032x + c1 = 0.\nb\u2032 = 2 + 3 .\n\u2234 c = 6\nHence, x2 \u2013 7x + 6 = 0.\n=> x2 \u2013 6x \u2013 x + 6 = 0.\n=> x(x \u2013 6) \u2013 1(x \u2013 6) = 0.\n=> (x \u2013 6)(x \u2013 1) = 0.\n\u2234 x = 6, 1.\nHence, the actual roots = (6, 1).\nAnswer : A","dataset":"aqua_rat"}
{"question":"The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 285, then the mean profit for the last 15 days would be","options":["Rs. 200","Rs. 350","Rs. 275","Rs. 415"],"answer":"D","correct_option":"Rs. 415","explanation":"Average would be : 350 = (285 + x)\/2\nOn solving, x = 415.\nAnswer: D","dataset":"aqua_rat"}
{"question":"The smallest 3 digit prime number is","options":["A)113","B)103","C)109","D)101"],"answer":"D","correct_option":"D)101","explanation":"The smallest 3-digit number is 100, which is divisible by 2.\n100 is not a prime number.\n101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.\n101 is a prime number.\nHence 101 is the smallest 3-digit prime number.\nD)","dataset":"aqua_rat"}
{"question":"P and Q started a business investing Rs 10000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.","options":["2:7","2:6","17:6","2:3"],"answer":"D","correct_option":"2:3","explanation":"Explanation:\nIn this type of question as time frame for both investors is equal then just get the ratio of their investments.\nP:Q = 10000:15000\n= 10:15\n= 2:3\nOption D","dataset":"aqua_rat"}
{"question":"A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.","options":["17 days","97 days","19 days","60 days"],"answer":"D","correct_option":"60 days","explanation":"A = 140 days\nB = 105 days\n1\/140 + 1\/105 = 7\/420 = 1\/60\n=>60 days\nAnswer: D","dataset":"aqua_rat"}
{"question":"Find the odd man out\n5,15,45,60,90,180","options":["60","180","90","5"],"answer":"A","correct_option":"60","explanation":"5*3= 15\n15*3 =45\n45*2=90\n90*2=180\n180*2=360\nANSWER:A","dataset":"aqua_rat"}
{"question":"A tap can fill a tank in 12 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?","options":["1 hr 20 min","4 hr","6 hr","8 hr 00 min"],"answer":"D","correct_option":"8 hr 00 min","explanation":"Explanation:\n1 tap can fill the tank in 12 hours.\nTherefore\n1 tap can fill half tank in 6 hours.\n3 taps can fill the tank in 12\/3 hour = 4 hours.\nTherefore\n3 taps can fill half tank in 4\/2 hour = 2 hours.\nTotal time taken=8 hour 00 minutes\nAnswer: Option D","dataset":"aqua_rat"}
{"question":"If 2\/3 of the air in a tank is removed with each stroke of a vacuum pump, how many strokes does it take before less than 1% of the original amount of air in the tank remains?","options":["2","3","4","5"],"answer":"D","correct_option":"5","explanation":"My approach is to find more or less good number and plug in. Lets take 90 as the total volume of an air, and the question asks after how many stokes there will be less than 0,9 air in a tank, if each stroke takes 2\/3 of an air.\nSo after he1 strokethe volume will be 30 (90-60=30), and so on\n2 stroke- 30-20=10\n3 stroke- 10-6,7=3,3\n4 stroke- 3,3-2,2=1,1\n5 stroke- 1,1 - minus something that gets us less than 0,9 for sure. so the answer is: after 5 strokes there will be less than 1% of air left in a tank. OptionD.","dataset":"aqua_rat"}
{"question":"A committee has 6 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?","options":["127","300","882","272"],"answer":"B","correct_option":"300","explanation":"The number of ways to select two men and three women\n= 6C\u2082 * \u2076C\u2083\n= (6*5)\/(2 * 1) * (6 * 5 * 4)\/(3 * 2)\n= 300\nAnswer: B","dataset":"aqua_rat"}
{"question":"The difference between the number and its three fifth is 40, what is the number?","options":["80","100","90","120"],"answer":"B","correct_option":"100","explanation":"Explanation:\nLet the number be x. Then,\nx - (3\/5)x = 40\n(2\/5)x = 40\nx = (40 x 5)\/2 = 100\nAnswer: Option B","dataset":"aqua_rat"}
{"question":"Simplify: 256 x 256 - 144 x 144","options":["761200","44800","761800","761500"],"answer":"B","correct_option":"44800","explanation":"(256)^2 - (144)^2 = (256 + 144) (256 - 144) = 400 x 112 = 44800\nAnswer is B","dataset":"aqua_rat"}
{"question":"In how many ways Chief Minister and Minister be elected from a team of 14 members?","options":["182","131","132","143"],"answer":"A","correct_option":"182","explanation":"To do this, if captain is elected first, then we have 14 ways of doing this.\nFor election of vice-captain, we have only 13 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)\nSo, the ans is 14*13 = 182 ways.\nAnswer : A","dataset":"aqua_rat"}
{"question":"Atoms of one element can be transformed into another through which process?","options":["magnetic reactions","longer reactions","developed reactions","nuclear reactions"],"answer":"D","correct_option":"nuclear reactions","explanation":"Not all atoms of an element must have precisely the same mass. Atoms of one element can be transformed into another through nuclear reactions. The compositions of many solid compounds are somewhat variable. Under certain circumstances, some atoms can be divided (split into smaller particles). These modifications illustrate the effectiveness of the scientific method; later experiments and observations were used to refine Dalton\u2019s original theory.","dataset":"science"}
{"question":"The banker\u2019s discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is","options":["210","280","360","450"],"answer":"C","correct_option":"360","explanation":"Sol.\nSum = B.D. * T.D. \/ B.D. - T.D. = Rs.[72 * 60 \/ 72 - 60] = Rs. [72 * 60 \/ 12] = Rs. 360.\nAnswer C","dataset":"aqua_rat"}
{"question":"If y is a positive number and 1\/2 the square root of x is the cube root of y, then y=","options":["64","32","16","4"],"answer":"A","correct_option":"64","explanation":"1\/2 the square root of x is cube root of y.\nif y= 64..\nthen 1\/2 the square root of y= 4 and cube of y is 64.\nOption A.","dataset":"aqua_rat"}
{"question":"A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :","options":["253","366","298","266"],"answer":"A","correct_option":"253","explanation":"Explanation:\nLet the middle digit be x.\nThen, 2x = 10 or x = 5. So, the number is either 253 or 352\nSince the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit.\nHence, required number = 253.\nAnswer: A) 253","dataset":"aqua_rat"}
{"question":"Cal wants to invest Rs. 50000 at the local bank that offers a rate of 12% per annum per year. If the interest is compounded monthly, how much will Cal get at the end of 3 years?","options":["71534.84","71534.48","71538.44","71543.84"],"answer":"C","correct_option":"71538.44","explanation":"P = Rs. 50000; R = 12% p.a. = 1% per month; T = 3 years = 36 months\nAmount = [50000 * (1 + 1\/100)36]\n= (50000 * (1.01)36) = Rs. 71538.44\nAnswer: C","dataset":"aqua_rat"}
{"question":"The difference between a number and its three fifth is 50. What is the number?","options":["75","100","125","175"],"answer":"C","correct_option":"125","explanation":"Sol.\nLet the numbers be x.\nThen, x-3\/5x = 50\n\u21d42\/5x = 50\u21d4 x = (50x5\/2) = 125.\nAnswer C","dataset":"aqua_rat"}
{"question":"If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time","options":["0.49","0.48","0.41","0.482"],"answer":"B","correct_option":"0.48","explanation":"Explanation:\nProbability that A speaks truth is 80\/100 = 0.8\nProbability that B speaks truth is 60\/100 = 0.6\nSince both A and B are independent of each other\nSo probability of A intersection B is P(A) \u00d7 P(B) =0.8 \u00d7 0.6 = 0.48\nAnswer: B","dataset":"aqua_rat"}
{"question":"In a hotel, 60% had vegetarian lunch while 30% had non-vegetarian lunch and 15% had both type of lunch. If 96 people were present, how many did not eat either type of lunch ?","options":["21","22","23","24"],"answer":"D","correct_option":"24","explanation":"n(A)=(60\/100 \u221796)=288\/5\nn(B)=(30\/100 \u221796)=144\/\nn(A\u2229B)=(15\/100 \u221796)=72\/5\nPeople who have either or both lunchn(A\u222aB)=288\/5 +144\/5 \u221272\/5 =360\/5 =72\nSo People who do no have either lunch were = 96 -72 = 24 ANSWER : D","dataset":"aqua_rat"}
{"question":"138.009 + 341.981 \u2013 146.305 = 123.6 + ?","options":["120.085","120.85","220.085","None of these"],"answer":"D","correct_option":"None of these","explanation":"Solution\nLet 138.009 + 341.981 - 146.305 = 123.6 + x.\nThen, x = (138.009 + 341.981) - (146.305 + 123.6) = 479.99 - 269.905 = 210.085 . Answer D","dataset":"aqua_rat"}
{"question":"Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 125 mangoes.","options":["360","380","400","416"],"answer":"D","correct_option":"416","explanation":"Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.\nMethod 1:\nLet price per mango = x. Let number of mangoes be n. Then, nx = 360.\nNow price = 0.9x; number of mangoes = n + 12. Total amount = 0.9x*(n+12) = 360.\nnx = 0.9nx + 10.8x => 0.1nx = 10.8x => n = 108 => x = 360\/108 = 3.33\nOriginal price of 125 mangoes = 125*3.33 = 416.\nAnswer D","dataset":"aqua_rat"}
{"question":"The standard reduction potential can be determined by subtracting the standard reduction potential for the reaction occurring at the anode from the standard reduction potential for the reaction occurring at this?","options":["electrode","cathode","Spinner","plasma"],"answer":"B","correct_option":"cathode","explanation":"The standard reduction potential can be determined by subtracting the standard reduction potential for the reaction occurring at the anode from the standard reduction potential for the reaction occurring at the cathode. The minus sign is necessary because oxidation is the reverse of reduction. E\u00b0cell = E\u00b0cathode \u2212 E\u00b0anode +0.34 V = E\u00b0 2+ \u2212 E\u00b0H + \/H = E\u00b0 2+ \u2212 0 = E\u00b0 Cu.","dataset":"science"}
{"question":"The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paise per meter is Rs. 36. The breadth of the room is ?","options":["6 meters","7 meters","8 meters","9 meters"],"answer":"A","correct_option":"6 meters","explanation":"Length of carpet = Total Cost \/ Rate\n= 3600 \/ 30\n= 120 m\nArea of carpet = (120 x 75) \/ 100 m2\n= 90 m2\n\u2234 Area of the room = 90 m2\nBreadth of the room = Area \/Length\n= 90 \/ 15 m\n= 6m\nAnswer : A","dataset":"aqua_rat"}
{"question":"In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that at least 1 women is included in the committee","options":["40","46","52","54"],"answer":"B","correct_option":"46","explanation":"1W 2M 2W 1M 3W\n= 3C1 \u00d7 5C2 + 3C2 \u00d7 5C1 + 3C3s\n= 3 \u00d7 (5 \u00d7 4)\/2 + 3 \u00d7 5 + 1\n= 30 + 15 + 1 = 46\nTotal 5M 3W\n8C3 = 56\n5C3 = 10\nAt least one women = total - with out women\nAt least one women = 56 - 10 = 46\nB)","dataset":"aqua_rat"}
{"question":"Excluding stoppages, the speed of a bus is 84 kmph and including stoppages, it is 70 kmph. For how many minutes does the bus stop per hour?","options":["12 min","10 min","15 min","14 min"],"answer":"B","correct_option":"10 min","explanation":"Due to stoppages, it covers 14 km less.\nTime taken to cover 14 km = (14\/84 x 60) min = 10 min\nAnswer : B","dataset":"aqua_rat"}
{"question":"Look at this series: V, VIII, __, XIV, XVII, XX, ... What number should fill the blank?","options":["IX","XXIII","XV","XI"],"answer":"D","correct_option":"XI","explanation":"Explanation: This is a simple addition series; each number is 3 more than the previous number.\nAnswer: D","dataset":"aqua_rat"}
{"question":"The average length of a woman\u2019s menstrual cycle is what?","options":["5 days","16 days","19 days","28 days"],"answer":"D","correct_option":"28 days","explanation":"The Menstrual Cycle Now that we have discussed the maturation of the cohort of tertiary follicles in the ovary, the build-up and then shedding of the endometrial lining in the uterus, and the function of the uterine tubes and vagina, we can put everything together to talk about the three phases of the menstrual cycle\u2014the series of changes in which the uterine lining is shed, rebuilds, and prepares for implantation. The timing of the menstrual cycle starts with the first day of menses, referred to as day one of a woman\u2019s period. Cycle length is determined by counting the days between the onset of bleeding in two subsequent cycles. Because the average length of a woman\u2019s menstrual cycle is 28 days, this is the time period used to identify the timing of events in the cycle. However, the length of the menstrual cycle varies among women, and even in the same woman from one cycle to the next, typically from 21 to 32 days. Just as the hormones produced by the granulosa and theca cells of the ovary \u201cdrive\u201d the follicular and luteal phases of the ovarian cycle, they also control the three distinct phases of the menstrual cycle. These are the menses phase, the proliferative phase, and the secretory phase.","dataset":"science"}
{"question":"If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is","options":["40","44","80","88"],"answer":"A","correct_option":"40","explanation":"according to the given conditions x+y = 22\nand x^2+y^2 = 404\nnow (x+y)^2 = x^2+y^2+2xy\nso 22^2 = 404 + 2xy\nso xy = 80\/2 = 40\nANSWER:A","dataset":"aqua_rat"}
{"question":"The triplicate ratio of 1:2 is?","options":["1:7","1:8","1:3","1:1"],"answer":"B","correct_option":"1:8","explanation":"13: 23 = 1:8\nAnswer: B","dataset":"aqua_rat"}
{"question":"There are 9 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?","options":["10","30","36","60"],"answer":"C","correct_option":"36","explanation":"9 players are there.\ntwo players play one game with one another.\nso 9C2=9x8\/2=36\nSO OPTION C is correct","dataset":"aqua_rat"}
{"question":"If m is the average (arithmetic mean) of the first 10 positive multiples of 3 and if M is the median of the first 10 positive multiples of 3, what is the value of M \u2013 m ?","options":["\u20135","5","0","25"],"answer":"C","correct_option":"0","explanation":"The first 10 positive multiples of 3 is an evenly spaced set. One of the most important properties of evenly spaced set (aka arithmetic progression) is:in any evenly spaced set the arithmetic mean (average) is equal to the median.\nHence M=m --> M-m=0.\nAnswer: C.","dataset":"aqua_rat"}
{"question":"How many different pairs of positive integers (a, b) satisfy the equation 1\/a+1\/b=34\/53 ?","options":["6","3","2","1"],"answer":"C","correct_option":"2","explanation":"There is no certain way to solve 2 unknown with 1 equation. The best way is to look at the question and retrospect the most efficient way. In this question, a and b are only positive integers. So that is a big relief. Now, we can start with putting a=1,2,.. and so on till the time we are confident about one of the options.\nSo, we start with\na=1, we get b as -ve. out\na=2, we get b as 6. Yes (Now (a,b) = (2,6). We can directly see that (a,b)=(6,2) will also satisfy. So we have 2 possible solutions)\na=3, we get b as 3. Yes (Now we have 3 possible solutions)\na=4, we get b as fraction. Out\na=5, we get b again as some fraction. Out\na=6 already taken.\nWe have A,B options left. C,D,E are out.\nA is 6. To have 6 as the answer, we will need one more pair like2,6and one more solution where a=b.\nWhen a=b, we have only 1 solution = 3. So, one more solution, where a=b is not possible.\nSo, answer will be C.","dataset":"aqua_rat"}
{"question":"My brother is 2 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 1 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?","options":["32 yrs, 23 yrs","30 yrs, 25 yrs","35 yrs, 29 yrs","35 yrs, 33 yrs"],"answer":"B","correct_option":"30 yrs, 25 yrs","explanation":"Sol.\nClearly, my brother was born 2 years before I was born and 1 years after my sister was born.\nSo, father's age when brother was born = (28 + 2) = 30 years.\nmother's age when was born = (26 - 1) years = 25 years.\nAnswer B","dataset":"aqua_rat"}
{"question":"In what ratio water be mixed with milk costing Rs.12 per liter to obtain a mixture worth of Rs.8 per litre?","options":["2:7","1:2","2:9","2:2"],"answer":"B","correct_option":"1:2","explanation":"Answer with Explanation: By the rule of allegation, i. C.P of 1 liter of water = 0 ii. C.P of 1 liter of milk = 12 iii. Mean price (p) = 8 iv. d \u2013 m = 12-8 = 4 v. m \u2013 c = 8-0 = 8 \uf05c Ratio of water and milk = 4 : 8 = 1 : 2\nAnswer:B","dataset":"aqua_rat"}
{"question":"If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 50 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?","options":["100","120","140","150"],"answer":"A","correct_option":"100","explanation":"Case 1:\nlet rate = R, Time = T, and Distance =D\nso D=RT\nCase 2:\n(D+50)=(R+5)(T+1)\nCase 3:\n(D+X)=(R+10)(T+2)\nX=100\nAns A","dataset":"aqua_rat"}
{"question":"There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?","options":["16","15","12","87"],"answer":"C","correct_option":"12","explanation":"Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.\na2 = 784 = (4)(196) = (22).(142)\na = (2)(14) = 28\na = 2l, l = a\/2 = 14\nl = (7\/3)s\nTherefore s = (3\/7)(l) = 6 Circumference of the smaller circle = 2\u220fs\n= 12\u220f cm.\nAnswer:C","dataset":"aqua_rat"}
{"question":"Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 15 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today?","options":["40","48","43","45"],"answer":"D","correct_option":"45","explanation":"Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion.\nEle = 3*Lyn\nUsually, ages are integers so there is a good possibility that the age of Ele is 45 (the only option that is a multiple of 3).\nThen age of Lyn would be 15. In 15 yrs, Ele would be 60 and Lyn would be 30 - so Lyn would be half as old as Ele.\nAnswer (D)","dataset":"aqua_rat"}
{"question":"If the average of 20,21, 23, 24, 25, 28, 28, 29, 31 and x is 26, what is the value of x?","options":["26","28","30","31"],"answer":"D","correct_option":"31","explanation":"Sum of the deviations of the numbers in the set from the mean is always zero\n20, 21, 23, 24, 25, 28, 28, 29, 31\nmean is 26\nso the list is -6-5-3-2-1+2+2+3+5... this shud total to zero\nbut this is -5 , hence we need a number that is 5 more than the mean to get a +5 and make it zero\nhence the answer is 26 + 5 = 31\nD","dataset":"aqua_rat"}
{"question":"What french chemist discovered the radioactive elements polonium and radium?","options":["marie curie","pascal curie","margaret curie","louis pasteur"],"answer":"A","correct_option":"marie curie","explanation":"Another scientist, who worked with Becquerel, actually came up with the term radioactivity . The other scientist was the French chemist Marie Curie. She went on to discover the radioactive elements polonium and radium. She won two Nobel Prizes for her discoveries. You can learn more about Marie Curie at this URL: http:\/\/nobelprize. org\/nobel_prizes\/physics\/laureates\/1903\/marie-curie-bio. html.","dataset":"science"}
{"question":"How many of the positive divisors of 600 are also multiples of 4 not including 600?","options":["6","8","9","11"],"answer":"D","correct_option":"11","explanation":"600 = 2^6 * 3 * 5 = (4) * 2 * 3 * 5^2\nBesides (4), the exponents of 2, 3, and 5 are 1, 1, and 2.\nThere are (1+1)(1+1)(2+1) = 12 ways to make multiples of 4.\nWe must subtract 1 because one of these multiples is 600.\nThe answer is D.","dataset":"aqua_rat"}
{"question":"A man goes downstream at 12 kmph, and upstream8 kmph. The speed of the stream is","options":["2kmph","4kmph","16kmph","2.5kmph"],"answer":"A","correct_option":"2kmph","explanation":"Speed of the stream = 1\/2(12-8)kmph\n=2kmph.\ncorrect option A","dataset":"aqua_rat"}
{"question":"A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability E that all 3 jellybeans removed from the bag are blue?","options":["9\/100","2\/19","1\/8","3\/20"],"answer":"B","correct_option":"2\/19","explanation":"Method-1\n10 red jellybeans and 10 blue jellybeans\nTotal Outcomes = No. of ways to choose 3 Jelly bean at random out of a total 20 jellybeans = 20C3 = 1140\nFavourable Outcomes = No. of ways to choose 3 Jelly bean such that they are all Blue out of 10 Blue = 10C3 = 120\nProbability = Favourable Outcomes \/ Total Outcomes = 10C3 \/ 20C3\nProbability E= 120 \/ 1140 = 2\/19\nAnswer: option B\nMethod-2\nProbability of First jelly bean to be Blue = 10\/20 [Total 10 Blue out of total 20 jellybeans]\nProbability of Second jelly bean to be Blue = 9\/19 [Total 9 Blue remaining out of total 19 jellybeans remaining]\nProbability of Third jelly bean to be Blue = 8\/18 [Total 8 Blue remaining out of total 18 jellybeans remaining]\nRequired Probability = (10\/20)*(9\/19)*(8\/18) = 2\/19\nAnswer: option B","dataset":"aqua_rat"}
{"question":"If p=125\u00d7243\u00d716\/405, how many digits are in p?","options":["1","2","3","4"],"answer":"D","correct_option":"4","explanation":"p = 125 * 243 * 16 \/ 405\np= 5^3 * 3 * 9^2 * 4^2 \/ (5 * 9^2)\np= 5^2 * 3 * 4^2\np = 20^2 * 3 = 1200\nanswer D","dataset":"aqua_rat"}
{"question":"running turns carbohydrates into","options":["fat","sweat","motion and heat","protein"],"answer":"C","correct_option":"motion and heat","explanation":"","dataset":"science"}
{"question":"How many seconds will a train 100 meters long take to cross a bridge 160 meters long if the speed of the train is 36 kmph?","options":["26","72","25","82"],"answer":"A","correct_option":"26","explanation":"Explanation:\nD = 100 + 160 = 260\nS = 36 * 5\/18 = 10 mps\nT = 260\/10 = 26 sec\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs.24. The present worth is","options":["Rs. 480","Rs. 520","Rs. 600","Rs. 960"],"answer":"C","correct_option":"Rs. 600","explanation":"Solution\nT.D\t= (B.G x 100\/Rate x Time)\n= Rs.(24x100 \/ 10x 2)\n= Rs.120.\nP.W\t= (100 x T.D\/Rate x Time)\n= Rs.(100x120 \/ 10x 2)\n= Rs.600.\nAnswer C","dataset":"aqua_rat"}
{"question":"Conducting wires have a small degree of what?","options":["insulation","heat","electrical resistance","magnetism"],"answer":"C","correct_option":"electrical resistance","explanation":"Conducting wires have a small electrical resistance. The electrical resistance of a conducting wire is related to the type of metal used and inversely related to the cross-sectional area of the wire. The larger the diameter of a wire, the greater the cross-sectional area, and the lower the electrical resistance will be. When electrons flow through a wire, they repel each other and interfere with the passage of other electrons. If there are a very large number of electrons passing through a wire with small diameter, the electrons will experience a greater resistance than if the wire diameter were larger and the electrons had more space between them.","dataset":"science"}
{"question":"A man is 40 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is","options":["31 years","32 years","33 years","34 years"],"answer":"D","correct_option":"34 years","explanation":"Explanation:\nLet's Son age is x, then Father age is x+40.\n=> 2(x+6) = (x+40+6)\n=> 2x+12 = x+46\n=> x = 34 years\nAnswer: Option D","dataset":"aqua_rat"}
{"question":"A certain candy store sold lollipops for $0.90 each and pieces of individually wrapped saltwater taffy for $0.20 each. If a customer purchased both lollipops and taffy from the store, and spent a total of $3.90, what total number of lollipops and saltwater taffy did the customer purchase?","options":["6","7","8","9"],"answer":"D","correct_option":"9","explanation":"we can take numbers, as price of lollipop 9, 2 for taffy and 39 total for ease.\nNow we can determine quickly that total number should range between 39\/9 <= N <=39\/2, so ans should be between 4 and 20.\nNow solving the expression 9A+2B =39\nfirst possibility with 1 lollipop, 15 taffy we get $3.90 total amount, but 1+15=16, and 16 is not an option.\nSo next choice, for 9A+2B =39 would come by decreasing 39 in multiple of 9 and checking divisibility of that number by 2. this way we get\n3 lollipop, 6 taffy would be $3.90 total, 3*0.90 + 6*0.20= 3.90\nHence total number is 3 + 6 = 9\nAns D","dataset":"aqua_rat"}
{"question":"A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?","options":["229","288","600","888"],"answer":"C","correct_option":"600","explanation":"D = 30 * 5 = 150\nRS = 40 \u2013 30 = 10\nT = 150\/10 = 15\nD = 40 * 15 = 600 km\nAnswer: C","dataset":"aqua_rat"}
{"question":"Each shelf of a bookcase contains 20 books. If the librarian took out 42 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 22 books, how many shelves does the bookcase have?","options":["A)4","B)12","C)6","D)8"],"answer":"B","correct_option":"B)12","explanation":"Denoting x the number of the shelves,\nwe can build an equation: 20x=16(x\u22121)+22+42\nSolving the equation, we get x=12\nAnswer: B","dataset":"aqua_rat"}
{"question":"Carol spends 1\/4 of her savings on a stereo and 1\/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?","options":["1\/4","2\/7","5\/12","1\/2"],"answer":"C","correct_option":"5\/12","explanation":"Total Savings = S\nAmount spent on stereo = (1\/4)S\nAmount spent on television = (1-1\/3)(1\/4)S = (2\/3)*(1\/4)*S = (1\/6)S\n(Stereo + TV)\/Total Savings = S(1\/4 + 1\/6)\/S = 5\/12\nAnswer: C","dataset":"aqua_rat"}
{"question":"Diesel costs Rs.4per lit and petrol costs 5.63 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol.","options":["9 months","5 months","6 months","4 months"],"answer":"D","correct_option":"4 months","explanation":"Explanation :\n=>In the First Month the price of the diesel would be 4*110\/100 = 4.4\n=>In the Second Month the price of the diesel would be 4.4*110\/100 = 4.84\n=>In the Third Month the price of the diesel would be 4.84*110\/100 = 5.324\n=>In the fourth Month the price of the diesel would be 5.324*110\/100 = 5.85 which is higher than the\nprice of the petrol!\nAnswer : D","dataset":"aqua_rat"}
{"question":"The sloth's lack of urgency is a great example of","options":["stimuli","adaptation","movies","adoption"],"answer":"B","correct_option":"adaptation","explanation":"","dataset":"science"}
{"question":"Jamal had a bag of marbles. He had 12 yellow, 10 blue, 5 green and 1 black marbles. He decided to randomly select a ball from the bag. What is the proabilitly that he will draw a black marble?","options":["10\/28","1\/28","12\/28","28\/1"],"answer":"B","correct_option":"1\/28","explanation":"B","dataset":"aqua_rat"}
{"question":"What is the study of energy and how it interacts with matter?","options":["kinetics","cosmology","physics","quantum mechanics"],"answer":"C","correct_option":"physics","explanation":"Physics is the study of energy and how it interacts with matter. Important concepts in physics include motion, forces such as magnetism and gravity, and different forms of energy. Physics concepts can answer all the questions on the right page of the notebook in Figure above .","dataset":"science"}
{"question":"The top and bottom of a tower were seen\nto be at angles of depression 30\u00b0 and 60\u00b0 from the top of a\nhill of height 100 m. Find the height of the tower","options":["64.67 m","66.67 m","68.67 m","56.67 m"],"answer":"B","correct_option":"66.67 m","explanation":"By making A diagram\nAC represents the hill and DE represents the pole\nGiven that AC = 100 m\nangleXAD = angleADB = 30\u00b0 (\u2235 AX || BD )\nangleXAE = angleAEC = 60\u00b0 (\u2235 AX || CE)\nLet DE = h\nThen, BC = DE = h, AB = (100-h) (\u2235 AC=100 and BC = h), BD = CE\ntan 60\u00b0=ACCE=>3\u221a=100CE=>CE = 1003\u221a--- (1)\ntan 30\u00b0=ABBD=>13\u221a=100\u2212hBD=>13\u221a=100\u2212h(1003\u221a)\n(\u2235 BD = CE and Substituted the value of CE from equation 1 )=>(100\u2212h)=13\u221a\u00d71003\u221a=1003=33.33=>h=100\u221233.33=66.67 m\ni.e., the height of the pole = 66.67 m\nANSWER:B","dataset":"aqua_rat"}
{"question":"If something is alive, then it requires","options":["something to keep it interested","a source to propel it forward","something to give it hope","something to consider doing"],"answer":"B","correct_option":"a source to propel it forward","explanation":"","dataset":"science"}
{"question":"Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?","options":["1\/2","2\/5","8\/5","9\/20"],"answer":"D","correct_option":"9\/20","explanation":"Explanation:\nHere, S = {1, 2, 3, 4, ...., 19, 20}.\nLet E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.\nP(E) =\tn(E)\/n(S)\t= 9\/20.\nANSWER : D","dataset":"aqua_rat"}
{"question":"what causes water to evaporate more quickly by adding heat?","options":["distant stars","our star","sunlight","Solar energy"],"answer":"B","correct_option":"our star","explanation":"our star causes water to evaporate more quickly by adding heat","dataset":"qasc"}
{"question":"Insulin is a hormone that helps absorb what from the blood?","options":["hormones","blood cells","glucose","Energy"],"answer":"C","correct_option":"glucose","explanation":"Insulin is a hormone that helps cells absorb glucose from the blood.","dataset":"qasc"}
{"question":"The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?","options":["5","7","8","9"],"answer":"A","correct_option":"5","explanation":"Explanation:\nA + B + C = 48\nB + C + D = 45\nA + D = 13\nA \u2013 D = 3\nA + D = 13\n2D = 10\nD = 5\nA)","dataset":"aqua_rat"}
{"question":"If x is 12 percent greater than 80, then x =","options":["89.6","91.0","88.0","70.9"],"answer":"A","correct_option":"89.6","explanation":"12% of 80 = (80*0.12) = 9.6\n12% greater than 80 = 80 + 9.6 = 89.6\nAnswer is clearly A.","dataset":"aqua_rat"}
{"question":"An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 9 candidates for the 4 consultant slots. If 2 out of 9 consultants refuse to be on the same team, how many different teams are possible?","options":["540","630","740","820"],"answer":"B","correct_option":"630","explanation":"Answer= Total number combinations - Total number of combinations with constraints\nTotal number of combinations = 2C1*3C1*9C4= 756\nTotal number of combinations with constraints = 2C1*3C1*7C2=126\nAnswer=756-126=630\nANSWER: B","dataset":"aqua_rat"}
{"question":"The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?","options":["s.9060","s.4520","s.4527","s.4530"],"answer":"A","correct_option":"s.9060","explanation":"Area of the four walls = 2h(l + b)\nSince there are doors and windows, area of the walls\n= 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3)\n= 906 sq.ft.\nTotal cost = 906 * 10\n= Rs.9060\nAnswer:A","dataset":"aqua_rat"}
{"question":"The probability that a number selected at random from the first 50 natural numbers is a composite number is ?","options":["17\/28","17\/25","17\/17","17\/19"],"answer":"B","correct_option":"17\/25","explanation":"The number of exhaustive events = \u2075\u2070C\u2081 = 50.\nWe have 15 primes from 1 to 50.\nNumber of favourable cases are 34.\nRequired probability = 34\/50\n= 17\/25.\nAnswer:B","dataset":"aqua_rat"}
{"question":"In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?","options":["127.5 m","254 m","184 m","212 m"],"answer":"A","correct_option":"127.5 m","explanation":"Explanation:\nWhen A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.\nWhen B runs 900 m, distance that C runs = (900 x 700)\/800 = 6300\/8 = 787.5 m.\nIn a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.\nIn a race of 600 m, the number of meters by which A beats C\n= (600 x 212.5)\/1000 = 127.5 m.\nANSWER IS A","dataset":"aqua_rat"}
{"question":"Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 30 days.","options":["16 days.","17 days.","18 days.","19 days."],"answer":"C","correct_option":"18 days.","explanation":"They together completed 4\/10 work in 4 days.\nbalance 6\/10 work will be completed by Arun alone in 30*6\/10 = 18 days.\nANSWER:C","dataset":"aqua_rat"}
{"question":"Spores are generally produced through what type of reproduction?","options":["sexual","similar","hormone","asexual"],"answer":"A","correct_option":"sexual","explanation":"The lifecycle of basidiomycetes includes alternation of generations (Figure 24.16). Spores are generally produced through sexual reproduction, rather than asexual reproduction. The club-shaped basidium carries spores called basidiospores. In the basidium, nuclei of two different mating strains fuse (karyogamy), giving rise to a diploid zygote that then undergoes meiosis. The haploid nuclei migrate into basidiospores, which germinate and generate monokaryotic hyphae. The mycelium that results is called a primary mycelium. Mycelia of different mating strains can combine and produce a secondary mycelium that contains haploid nuclei of two different mating strains. This is the dikaryotic stage of the basidiomyces lifecyle and and it is the dominant stage. Eventually, the secondary mycelium generates a basidiocarp, which is a fruiting body that protrudes from the ground\u2014this is what we think of as a mushroom. The basidiocarp bears the developing basidia on the gills under its cap.","dataset":"science"}
{"question":"The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 5 units?","options":["40 sq.units","158 sq.units","187 sq.units","607 sq.units"],"answer":"A","correct_option":"40 sq.units","explanation":"Given that the area of the square = 400 sq.units\n=> Side of square = \u221a400= 20 units\nThe radius of the circle = side of the square = 20 units\nLength of the rectangle = 2\/5 * 20 = 8 units\nGiven that breadth = 5 units\nArea of the rectangle = lb = 8 * 5 = 40 sq.units\nAnswer: A","dataset":"aqua_rat"}
{"question":"Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?","options":["34.25","35","33.25","34.25"],"answer":"A","correct_option":"34.25","explanation":"Explanation:\nAverage runs scored by Virat Kohli in 10 matches: Total runs scored\/10\u2014(1)\nAverage runs scored by Virat Kohli in 6 matches: (Total runs in 6 matches)\/6\n=> 42 = Runs\/6\n=>252 runs\nUsing (1):\n=>38.9 = Runs\/10\n=>389 runs\nRuns scored in rest 4 matches: 389 - 252 runs\n=> 137 runs\nAverage runs scored by Virat Kohli in 4 matches: 137\/4 = 34.25 runs\nANSWER A","dataset":"aqua_rat"}
{"question":"In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.10 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?","options":["160","175","190","200"],"answer":"C","correct_option":"190","explanation":"Suppose the man works overtime for x hours.\nNow, working hours in 4 weeks = (5 x 8 x 4) = 160.\n160 x 2.10 + X x 3.20 = 432\nX = 30.\nHence, total hours of work = (160 + 30) = 190.\nanswer :C","dataset":"aqua_rat"}
{"question":"The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :","options":["Rs. 110.75","Rs. 115.75","Rs. 124.75","Rs. 125"],"answer":"C","correct_option":"Rs. 124.75","explanation":"For an income of Rs.756, investment = Rs.9000\nFor an income of Rs., investment = = Rs.125\nFor a Rs.100 stock, investment = Rs.125.\nMarket value of Rs. 100 stock = = Rs. 124.75\nC","dataset":"aqua_rat"}
{"question":"If milk is going to be measured, it can be measured in","options":["only a thin tube","only a round dish","any kind of shape container","only a square container"],"answer":"C","correct_option":"any kind of shape container","explanation":"","dataset":"science"}
{"question":"An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3\/2M + 10, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?","options":["a.\tA - 10","b.\tB - 15","c.\tC \u2013 22.5","d.\tD \u2013 20"],"answer":"D","correct_option":"d.\tD \u2013 20","explanation":"A --- 30\/2 + 10 = 25 --- wrong\nB --- 45\/2 + 10 = not an integer --- wrong\nC --- 22.5(3\/2) + 10 = not an integer --- wrong\nD --- 60\/2+10 = 40 --- CORRECT\nThis is one of those problems that will probably be easiest to solve by plugging in numbers. The algebra is do-able, but it's not worth the effort (in my opinion). I was able to solve it in under 30 seconds total with this method.\nD","dataset":"aqua_rat"}
{"question":"If x and y are positive integers and 5 + x + y + xy = 19, what is the value of x + y?","options":["3","5","6","8"],"answer":"C","correct_option":"6","explanation":"Try each answer choices.\nFor A: 5 + 3 + xy = 19; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)\nFor B: 5 + 5 + xy = 19; xy = 9 (no combination of xy = 9 and x + y = 5)\nFor C: 5 + 6 + xy = 19; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)\nFor D: 5 + 8 + xy = 19; xy = 6 (no combination of xy = 6 and x + y = 8)\nFor E: 5 + 9 + xy = 19; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)\nTherefore, answer C.","dataset":"aqua_rat"}
{"question":"Which of the following is true?","options":["lemonade can be heated to form water","lemonade can be cooled to form steam","lemonade can be heated to form steam","water can be cooled to form steam"],"answer":"C","correct_option":"lemonade can be heated to form steam","explanation":"","dataset":"science"}
{"question":"The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee\u2019s report, what is the probability that the two members selected will both be English teachers?","options":["2\/3","1\/3","2\/9","1\/12"],"answer":"D","correct_option":"1\/12","explanation":"Probability of first member an English teacher = 3\/9\nProbability of second member an English teacher = 2\/8\nProbability of both being english teacher = 3\/9 x 2\/8 =1\/12 (D)\nANSWER:D","dataset":"aqua_rat"}
{"question":"The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 1 year?","options":["12300","12350","12000","12500"],"answer":"C","correct_option":"12000","explanation":"Formula :\n( After =100 denominator\nAgo = 100 numerator)\n10000 \u00c3\u2014 120\/100 = 12000\nC","dataset":"aqua_rat"}
{"question":"What forms the pathway of water and nutrients from roots to leaves and flower?","options":["the pistil","the stem","the stamen","the stigma"],"answer":"B","correct_option":"the stem","explanation":"","dataset":"science"}
{"question":"The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher","options":["45 Years","46 Years","49 Years","52 Years"],"answer":"C","correct_option":"49 Years","explanation":"Total age of students is 32X16 = 512 Years\nTotal age inclusive of teacher = 33X (16+1) = 561\nSo, Teacher's age is 561-512 = 49 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 16+(33X1) = 49 Years\nC","dataset":"aqua_rat"}
{"question":"If x =- |x| , then which one of the following statements could be true?\nI. x = 1\nII. x < 0\nIII. x > 0","options":["None","I only","II only","I and II"],"answer":"C","correct_option":"II only","explanation":"Answer copied from NOVA guide\nStatement I could be true because + 1 = \u2212(+1) = \u2212(1) = -1 .\nStatement II could be true because the right side of the equation is always negative [ \u00b1 x = \u2013(a positive number) = a negative number].\nNow, if one side of an equation is always negative, then the other side must always be negative,\notherwise the opposite sides of the equation would not be equal.\nSince Statement III is the opposite of Statement II, it must be false. But let\u2019s show this explicitly:\nSuppose x were positive. Then x = x, and the equation x = \u00b1 x becomes x = \u2013x. Dividing both sides of this equation by x yields 1 = \u20131. This is contradiction.\nHence, x cannot be positive. The answer is (C).","dataset":"aqua_rat"}
{"question":"The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 25% more than the price of the other, what is the price of each of these two oranges?","options":["Rs 11.5, Rs 14.5","Rs 8, Rs 12","Rs 10, Rs 16","Rs 12, Rs 14"],"answer":"A","correct_option":"Rs 11.5, Rs 14.5","explanation":"Explanation :\nTotal price of the two oranges = Rs. [(12 x 10) (11.75 x 8)]\n= Rs. (120 - 94) = Rs. 26.\nLet the price of one orange be Rs. x.\nThen, the price of other orange = Rs. (x + 25% of x) = Rs. x + 1\/4x = Rs. 5x\/4\nSo, x + 5x\/4 = 26\n9x = 104\nx = 11.5\nThe prices of the two oranges are Rs. 11.5 and Rs. 14.5\nAnswer : A","dataset":"aqua_rat"}
{"question":"The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 400 per sq. metre.","options":["Rs. 15000","Rs. 8250","Rs. 15600","Rs. 16500"],"answer":"B","correct_option":"Rs. 8250","explanation":"Solution\nArea of the floor = (5.5 \u00d7 3.75) m2 = 20.625 m2\n\u2234 Cost of paving = Rs. (400 \u00d7 20.625) = 8250. Answer B","dataset":"aqua_rat"}
{"question":"An institute organised a fete and 1\/5 of the girls and 1\/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?","options":["2\/13","13\/40","Data inadequate","14\/50"],"answer":"C","correct_option":"Data inadequate","explanation":"Explanation:\nData insufficient to solve the question\nAnswer is C","dataset":"aqua_rat"}
{"question":"If 50% of (x-y) = 20% of (x+y), then what percent of x is y?","options":["50.5%","42.8%","22.2%","33.3%"],"answer":"B","correct_option":"42.8%","explanation":"50% of (x-y) = 20% of (x+y)\n50\/100 (x-y) = 20\/100 (x+y)\n3x = 7y\nRequired percentage = y\/x *100 = 3y\/7y * 100 = 42.85%\nAnswer is B","dataset":"aqua_rat"}
{"question":"Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?","options":["2400 m^2","2500 m^2","2520 m^2","2560 m^2"],"answer":"C","correct_option":"2520 m^2","explanation":"Solving the two equations, we get: l = 63 and b = 40.\nArea = (l x b) = (63 x 40) m2 = 2520 m^2\nC","dataset":"aqua_rat"}
{"question":"12*18*6 is the volume of some material. How many cubes of edge 3 can be insert into it?","options":["48","49","50","51"],"answer":"A","correct_option":"48","explanation":"no. of such cubes = volume of material \/ volume of one cube\n(12*18*6)\/(3*3*3)= 48\nANSWER:A","dataset":"aqua_rat"}
{"question":"How many integers between 1000 and 10000 have\nno digits other than 4, 5 or 6?","options":["91","51","81","71"],"answer":"C","correct_option":"81","explanation":"Any number between 1,000 and 10,000 is of 4 digits. The unit\u2019s place can be filled up by 4,5 or 6, that is, in 3 ways.\nSimilarly, the ten\u2019s place can be filled up by 4 or 5 or 6, that is in 3 ways. The hundred\u2019s place can be filled up by 4, 5 or 6, that is in 3 ways and the thousand\u2019s place can.be filled up by 4 or 5 or 6, that is, in 3 ways.\nHence the required numbers = 3 x 3 x 3 x 3 = 81\nANSWER:C","dataset":"aqua_rat"}
{"question":"Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4\/9 . What is the likelihood of all three men missing the target?","options":["probability is 1\/27","16\/81","8\/27","19\/27"],"answer":"A","correct_option":"probability is 1\/27","explanation":"Let the probability of an archer hitting a target be xx. Then the probability of two hitting the target will be P=x\u2217x=49P=x\u2217x=49 - -> x=23x=23, so the probability of an archer missing the target will be P=1\u221223=13P=1\u221223=13.\nThe probability of all three men missing the target will be P=(13)3=127P=(13)3=127.\nAnswer: A.","dataset":"aqua_rat"}
{"question":"In the coordinate plane, one of the vertices of a square is the point (-4, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?","options":["180","196","160","164"],"answer":"B","correct_option":"196","explanation":"One point (-4-4), Intersection (3,2) so the distance from the first point -4-3=-7 is the midpoint of the square --> whole side 14, 14*14=196\nB","dataset":"aqua_rat"}
{"question":"Covalent compounds form individual molecules rather than what?","options":["atoms","carbon","crystals","chemicals"],"answer":"C","correct_option":"crystals","explanation":"Covalent compounds form individual molecules rather than crystals. Compared with ionic compounds, they have low melting and boiling points. They are also poor conductors of electricity. In polar covalent compounds, oppositely charged ends of different molecules attract each other. This affects the properties of polar compounds.","dataset":"science"}
{"question":"Find the percentage gain if a shop owner sells 40 mtr of fabric and gains Cost Price of 15 meters?","options":["38.50%","39.50%","27.50%","37.50%"],"answer":"D","correct_option":"37.50%","explanation":"Let cost of each metre be Rs. 100.\nTherefore, cost price of 15m cloth = 15*100 =1500\ncost price of 40m cloth = 40*100 = 4000\nSince the trader made the CP of 15m from the sale of 40m therefore\nProfit on sale of 40m = cost price of 15 m cloth = 1500\nSelling price of 40m = 4000+1500 = 5500\nProfit % = 37.50%\nD","dataset":"aqua_rat"}
{"question":"If X boxes of mango juice cost 250 cents, how much will Y boxes cost in dollars?","options":["Y*2\/x","Y*2.6\/x","2Y*2.5\/x","Y*2.5\/x"],"answer":"D","correct_option":"Y*2.5\/x","explanation":"X boxes of mango juice cost 250 cents or 2.5 dollars.\ncost of mango juice = 2.5\/x\nCost of Y mango juices = Y*2.5\/x\nHence Answer : D","dataset":"aqua_rat"}
{"question":"In one hour, a boat goes 15 km\/hr along the stream and 9 km\/hr against the stream. The speed of the boat in still water (in km\/hr) is:","options":["12 kmph","13 kmph","14 kmph","15 kmph"],"answer":"A","correct_option":"12 kmph","explanation":"Explanation:\nLet the speed downstream be a km\/hr and the speed upstream be b km\/hr, then\nSpeed in still water =1\/2(a+b) km\/hr\nRate of stream = 1\/2(a\u2212b) km\/hr\nSpeed in still water = 1\/2(15+9) kmph = 12 kmph.\nAnswer: Option A","dataset":"aqua_rat"}
{"question":"What is the simplest form of matter that has a unique set of properties?","options":["atom","element","quark","molecule"],"answer":"B","correct_option":"element","explanation":"An element is the simplest form of matter that has a unique set of properties.","dataset":"science"}
{"question":"A given positive integer is divided by 9 with a remainder of 5. The same integer when divided by 12 has a remainder of 3. What is the remainder if the it integer is divided by 35.","options":["Between 1 and 4, inclusive","Between 5 and 7, inclusive","Between 8 and 10, inclusive","5"],"answer":"B","correct_option":"Between 5 and 7, inclusive","explanation":"Put in real numbers.\nLet the integer be x\n9x+5= 12x+3\nStart 9x+5 -->14, 23, 32,....41...\nOf these only 41 fit the description 12x+3. The remainder when divided by 35 is 6. So answer is B).\nAnswer = B)","dataset":"aqua_rat"}
{"question":"If p\/5 = r\/2 and r = 0.75s, what is the ratio of p to r to s?","options":["2 : 3 : 4","8 : 12 : 9","15 : 6 : 8","6 : 4 : 3"],"answer":"C","correct_option":"15 : 6 : 8","explanation":"p\/5=r\/2, r=0.75s, what is p:r:s?\nwe get p\/r=5\/2 and r\/s=3\/4, so\n5\/3*3\/2 and 2\/2*3\/4\n15\/6 and 6\/8\nC","dataset":"aqua_rat"}
{"question":"If n = 4^11 \u2013 4, what is the units digit of n?","options":["0","1","4","6"],"answer":"A","correct_option":"0","explanation":"Always divide the power (incase 11) by 4 and use the remainder as the new power. The question now becomes 4^3 - 4. Now 4^3 has last digit 4. , we subtract 4 from 4 = 0 is the answer. Option A","dataset":"aqua_rat"}
{"question":"Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually.","options":["Rs 309","Rs 319","Rs 3109","Rs 109"],"answer":"C","correct_option":"Rs 3109","explanation":"Time = 2 years 4 months = 2(4\/12) years = 2(1\/3) years.\nAmount = Rs'. [8000 X (1+\u00ac(15\/100))2 X (1+((1\/3)*15)\/100)]\n=Rs. [8000 * (23\/20) * (23\/20) * (21\/20)]\n= Rs. 11109.\t.\n:. C.I. = Rs. (11109 - 8000) = Rs. 3109.\nANSWER C 3109","dataset":"aqua_rat"}
{"question":"What produces hormones that directly regulate body processes?","options":["hypothalamus","hippocampus","pancreas","lymph glands"],"answer":"A","correct_option":"hypothalamus","explanation":"The hypothalamus also produces hormones that directly regulate body processes. For example, it produces antidiuretic hormone. This hormone travels to the kidneys and stimulates them to conserve water by producing more concentrated urine.","dataset":"science"}
{"question":"The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p\/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 60 percent of the pollutant?","options":["$300,000","$100,000","$50,000","$10,000"],"answer":"A","correct_option":"$300,000","explanation":"To remove 90% of pollutant\nC= 100,000(90)\/(100-90) = 900,000\nTo remove 60% of pollutant\nC' = 100,000(60)\/(100-60) = 600,000\nDifference = C - C' = 300,000\nAnswer - A","dataset":"aqua_rat"}
{"question":"The tailor has a 10 meter long piece of fabric for which to sew a ball room dress.\nShe has to cuts this fabric into strips of 200 centimeters each.\nHow long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ?","options":["150","200","188","245"],"answer":"D","correct_option":"245","explanation":"The tailors would need to cut the fabric 49 times thus the total amount spent would be 245 minutes. The answer is D","dataset":"aqua_rat"}
{"question":"A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?","options":["3.34 sq m","98.8 sq m","67.8 sq m","27.9 sq m"],"answer":"A","correct_option":"3.34 sq m","explanation":"Area of the path = Area of the outer circle - Area of the inner circle\n= \u220f{4\/2 + 25\/100}2 - \u220f[4\/2]2\n= \u220f[2.252 - 22] = \u220f(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }\n= (3.14)(1\/4)(17\/4) = 53.38\/16\n= 3.34 sq m\nAnswer: A","dataset":"aqua_rat"}
{"question":"What does a hairy organism have under its skin to help insulate the body?","options":["fat","hair","food","cell"],"answer":"A","correct_option":"fat","explanation":"An organism with hair has a layer of fat under the skin to help insulate the body.","dataset":"qasc"}
{"question":"A seismometer can note how earthquakes are","options":["small","fast","strong","long"],"answer":"C","correct_option":"strong","explanation":"","dataset":"science"}
{"question":"The anodes in each cell of a rechargeable battery are plates or grids of lead containing spongy lead metal, while the cathodes are similar grids containing powdered what?","options":["coal","lead dioxide","straight dioxide","carbon dioxide"],"answer":"B","correct_option":"lead dioxide","explanation":"The anodes in each cell of a rechargeable battery are plates or grids of lead containing spongy lead metal, while the cathodes are similar grids containing powdered lead dioxide (PbO2). The electrolyte is an aqueous solution of sulfuric acid. The value of E\u00b0 for such a cell is about 2 V. Connecting three such cells in series produces a 6 V battery, whereas a typical 12 V car battery contains six cells in series. When treated properly, this type of high-capacity battery can be discharged and recharged many times over. As the cell is discharged, a powder of PbSO4 forms on the electrodes. Moreover, sulfuric acid is consumed and water is produced, decreasing the density of the electrolyte and providing a convenient way of monitoring the status of a battery by simply measuring the density of the electrolyte.","dataset":"science"}
{"question":"pollutants have a negative impact on animals if what?","options":["kill them","ignored","ingested","Cars"],"answer":"C","correct_option":"ingested","explanation":"eating something that contains pollutants has a negative impact on an animal's survival","dataset":"qasc"}
{"question":"The average of first 6 prime numbers is?","options":["10.11","11.11","12.11","6.83"],"answer":"D","correct_option":"6.83","explanation":"Sum of 6 prime no. = 41\nAverage = 41\/6 = 6.83\nANSWER: D","dataset":"aqua_rat"}
{"question":"If the product of two positive integers is 40, which of the following could be the LCM and HCF of the two numbers? a. LCM 20 : HCF 2 b. LCM 40 : HCF 5 c. LCM 20 : HCF 4","options":["b only","c only","a only","a, c only"],"answer":"C","correct_option":"a only","explanation":"a is the correct answer.\nAnswer : C","dataset":"aqua_rat"}
{"question":"The ratio of 4 seconds to 8 hours","options":["1:80","1:6000","1:600","1:7200"],"answer":"D","correct_option":"1:7200","explanation":"1 hour =3600 sec\nthen 8 hours =8*3600=28800\nso ,4:28800=1:7200\nANSWER:D","dataset":"aqua_rat"}
{"question":"log base 10 root of 10 root of 10 root of 10..........infinity?","options":["0","1","2","3"],"answer":"B","correct_option":"1","explanation":"root 10 of 10 of 10 ............infinity=10\nso log base 10 of 10=1\nANSWER:B","dataset":"aqua_rat"}
{"question":"Mike and his friend are going on a road trip and hoping to miss traffic. If they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [1km = 0.6 miles]","options":["60","30","300","600"],"answer":"D","correct_option":"600","explanation":"To calculate the equivalent of kilometres in a mile\n6 miles = 6*(0.6)^-1 = 10 kilometres\nIn 1 hour there are 60 minutes\nSpeed in kmph = 10 * 60 = 600\nCorrect answer - D","dataset":"aqua_rat"}
{"question":"If C and D are non-zero integers, and C\/D > 1, then which of the following must be true?","options":["CD > D","2C > D","C^2< D^2","C > D"],"answer":"A","correct_option":"CD > D","explanation":"MULTIPLICATION OF TWO INTEGER IS OBIVIOUSLY GREATER THAN EACH ONE OF THEM.\nA","dataset":"aqua_rat"}
{"question":"Most diseases caused by bacteria can be cured by which medicines?","options":["antibiotics","antioxidants","hydroxides","inhibitors"],"answer":"A","correct_option":"antibiotics","explanation":"Living things that cause human diseases include bacteria, fungi, and protozoa. Most infectious diseases caused by these organisms can be cured with medicines. For example, medicines called antibiotics can cure most diseases caused by bacteria. Bacteria are one-celled organisms without a nucleus. Although most bacteria are harmless, some cause diseases.","dataset":"science"}
{"question":"A boy has seven trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?","options":["56 ways","57 ways","58 ways","108 ways"],"answer":"A","correct_option":"56 ways","explanation":"The boy can select one trouser in seven ways.\nThe boy can select one shirt in 8 ways.\nThe number of ways in which he can select one trouser and one shirt is 7 * 8 = 56 ways.\nAnswer:A","dataset":"aqua_rat"}
{"question":"The fetus is connected to what by a tube called the umbilical cord?","options":["Fallopian tube","placenta","Stomach","Intestines"],"answer":"B","correct_option":"placenta","explanation":"The placenta is a spongy mass of blood vessels. Some of the vessels come from the mother. Some come from the fetus. The placenta is attached to the inside of the mother\u2019s uterus. The fetus is connected to the placenta by a tube called the umbilical cord . The cord contains two arteries and a vein. Substances pass back and forth between the mother\u2019s and fetus\u2019s blood through the placenta and cord. Oxygen and nutrients pass from the mother to the fetus. Carbon dioxide passes from the fetus to the mother.","dataset":"science"}
{"question":"The Average of 100, 200, 300, 400, ... , 1000 is 550. If each number is divided by 5, then the new average will be equal to","options":["450","45","55","None of these"],"answer":"D","correct_option":"None of these","explanation":"Answer\nActual average\n=( 100 + 220 + 300 + ... + 1000 ) \/ 10\n=550\nNew Average = 550 \/ 5\n=110\nCorrect Option: D","dataset":"aqua_rat"}
{"question":"At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 16.9 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?","options":["13.0","13.3","13.6","13.9"],"answer":"A","correct_option":"13.0","explanation":"Let x be the factor by which the bacteria increases every three hours.\nAt 4:00 pm, the amount of bacteria was 10x and at 7:00 pm it was 10x^2.\n10x^2 = 16.9\nx^2=1.69\nx=1.3\nAt 4:00 pm, the amount of bacteria was 10(1.3)=13 grams.\nThe answer is A.","dataset":"aqua_rat"}
{"question":"Sunil invested $ 2200 fir 2 years and $ 2100 for 3 years at the same rate of Simple Interest. If the total interest from these investments is $ 1400, what is the rate of interest?","options":["12 3\/4%","12 %","13 %","16%"],"answer":"C","correct_option":"13 %","explanation":"(2200x2xR)\/100+(2100x3xR)\/100=1400\n107R=1400\nR= 13 %\nAnswer is C","dataset":"aqua_rat"}
{"question":"When positive integer k is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?","options":["k + 1","k -11","4k + 2","(k-3)\/3 +2"],"answer":"C","correct_option":"4k + 2","explanation":"First, because k\/6 leaves a remainder of 3, we know k must be odd.\n(k=6x+3 = 3(2x+1) = odd*odd = odd)\nKnowing k is odd we can examine the answer choices:\na. k + 1 --> odd + 1 --> must be even\nb. k -11 --> odd - odd --> must be even\nc. 4k + 1 --> 4*odd + 1 = even + 1 --> must be odd\nd. (k-3)\/3 +2 --> (6x+3-3)\/3 + 2 = 2x + 2 --> must be even\ne. k\/3 --> (6x+3)\/3 = 2x+1 = Must be odd\nANSWER:C","dataset":"aqua_rat"}
{"question":"From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)","options":["32","63","64","127"],"answer":"D","correct_option":"127","explanation":"Any letter (p, u, v, w, x, y, z) can be included or not.\nThus there are 2^7 combinations - 1 empty combination = 127 combinations\nThe answer is D.","dataset":"aqua_rat"}
{"question":"A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?","options":["288","190","188","188"],"answer":"B","correct_option":"190","explanation":"L = S*T\nS= 1200\/120\nS= 10 m\/Sec.\nTotal length (D)= 1900 m\nT = D\/S\nT = 1900\/10\nT = 190 Sec\nAnswer:B","dataset":"aqua_rat"}
{"question":"What profit percent is made by selling an article at a certain price, if by selling at 2\/3rd of that price, there would be a loss of 16%?","options":["26%","28%","27%","40%"],"answer":"A","correct_option":"26%","explanation":"SP2 = 2\/3 SP1\nCP = 100\nSP2 = 84\n2\/3 SP1 = 84\nSP1 = 126\n100 --- 26 => 26%\nAnswer:A","dataset":"aqua_rat"}
{"question":"Which is better investment: 11% stock at 143 or 9 3\/4% stock at 117?","options":["11% stock at 143","9 3\/4% stock at 117","Both are equally good","Cannot be compared, as the total amount of investment is not given"],"answer":"B","correct_option":"9 3\/4% stock at 117","explanation":"Let investment in each case be Rs. (143 x 117).\nIncome in 1st case = Rs.11 x 143 x 117\/143\t= Rs. 1287.\nIncome in 2nd case = Rs.39 x 143 x 117\/(4*117)\t= Rs. 1394.25\nClearly, 9 3\/4% stock at 117 is better.\nANSWER:B","dataset":"aqua_rat"}
{"question":"Which setup likely refracts light?","options":["a banjo and a flute","two mirrors in unison","a cat in a hat","gems and glowlights arranged precisely"],"answer":"D","correct_option":"gems and glowlights arranged precisely","explanation":"","dataset":"science"}
{"question":"What could occur should a person scrape themselves?","options":["Loss of gravity","looseness of dirt or compost","Contaminated wounds","Development of super powers"],"answer":"C","correct_option":"Contaminated wounds","explanation":"Scraping oneself may lead to contaminated wounds.","dataset":"qasc"}
{"question":"What affect does high pressure have on the boiling point","options":["heat","Rise","Increase","forces"],"answer":"C","correct_option":"Increase","explanation":"Pressure can increase or decrease the boiling point.","dataset":"qasc"}
{"question":"Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?","options":["015","28","17","19"],"answer":"A","correct_option":"015","explanation":"Explanation:\nx + y = 80\nx \u00e2\u20ac\u201c 4y = 5\nx = 65 y = 15\nAnswer:A","dataset":"aqua_rat"}
{"question":"A trader sells 85 meters of cloth for $8925 at the profit of $15 per metre of cloth. What is the cost price of one metre of cloth?","options":["$69","$78","$90","$86"],"answer":"C","correct_option":"$90","explanation":"C\n$90\nSP of 1m of cloth = 8925\/85 = $105\nCP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth\n= $105 - $15 = $90.","dataset":"aqua_rat"}
{"question":"In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 31 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?","options":["33 years","34 years","35 years","26 years"],"answer":"D","correct_option":"26 years","explanation":"Explanation :\nLet the age of youngest player be x.\nThen, age of the captain = (x + 11).\n=> 3*31 + 3*28 + 3*30 + x + x + 11 = 11*28.\n=> 93+84+90+2x+11=308\nso 2x = 30\nso x = 15.\nAge of the captain = (x+11)\n= 26 years.\nAnswer : D","dataset":"aqua_rat"}
{"question":"Certain loan amount was repaid in two annual installments of Rs.1331\/- each. If the rate of interest be 10% per annum Compounded annually the sum borrowed was?","options":["Rs.2310\/-","Rs.2400\/-","Rs.2420\/-","Rs.2430\/-"],"answer":"A","correct_option":"Rs.2310\/-","explanation":"Principal = (P.W of Rs. 1331\/- due 1 year hence) + (P.W of Rs. 1331\/- due 2 years hence)\n= [1331\/(1 + 10\/100) + 1331\/(1 + 10\/100)2]\n= [1331\/(110\/100) + 1331\/(110\/100 \u00d7 110\/100)]\n= 13310\/11 + 133100\/121 = 1210 + 1100 = Rs.2310\/-\nA","dataset":"aqua_rat"}
{"question":"The square root of 636 is between which set of integers?","options":["24 and 25","25 and 26","26 and 27","27 and 28"],"answer":"B","correct_option":"25 and 26","explanation":"25^2=625\n26^2=676\nHence 636 lies between 25^2 & 26^2\nANSWER:B","dataset":"aqua_rat"}
{"question":"A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right?","options":["7\/108","5\/54","1\/9","2\/17"],"answer":"B","correct_option":"5\/54","explanation":"The least sum of the numbers of the two dice in the right hand is 2. The maximum sum of the numbers on these two dice can be 5, for the left hand dice to be able to have a greater number.\nTherefore the number on the dice in the left hand must be 3 or more.\nNumber of ways to get a sum of 2 with the two dice in the right hand= 1\nNumber of ways to get a sum of 3 with the two dice in the right hand= 2\nNumber of ways to get a sum of 4 with the two dice in the right hand= 3\nNumber of ways to get a sum of 5 with the two dice in the right hand= 4\nTherefore required probability = P(two right dice have a sum of 2)*P(left dice has 3) + P(right dice have sum of 2 or 3)*P(left dice has 4) + P(two right dice have a sum of 2,3, or 4)*P(left dice has 5) + P(two right dice have a sum of 2,3,4,or 5)*P(left dice has 6)\n= (1\/36)*(1\/6) + (3\/36)*(1\/6) + (6\/36)*(1\/6) + (10\/36)*(1\/6)\n= (1\/216) * (1+3+6+10)\n= 20\/216\n= 5\/54\nOption B","dataset":"aqua_rat"}
{"question":"Last September the sales total for a certain car dealership was 400% greater than the average monthly sales total for the other 11 months. The sales total for September was approximately what percent of the year\u00b4s sales?","options":["15 %","27%","31%","42%"],"answer":"C","correct_option":"31%","explanation":"11 moth avg = x\n11 month total = 11x\nsept = 400% of x + x = 5x\nsept\/total = =5x\/(11x+5x) = =31%\nANSWER:C","dataset":"aqua_rat"}
{"question":"A train 360 m long runs with a speed of 45 km\/hr. What time will it take to pass a platform of 240 m long?","options":["38 sec","35 sec","44 sec","48 sec"],"answer":"D","correct_option":"48 sec","explanation":"Explanation:\nSpeed = 45 km\/hr = 45\u00d7(10\/36) m\/s\n= 150\/12 = 50\/4 = 25\/2 m\/s\nTotal distance = length of the train + length of the platform\n= 360 + 240 = 600 meter\nTime taken to cross the platform = 600\/(25\/2) = 600\u00d72\/25 = 48 seconds\nAnswer: Option D","dataset":"aqua_rat"}
{"question":"ABCD is a square. E and F are the midpoints of sides CD and BC, respectively. What is the ratio of the shaded region area to the unshaded region?","options":["1:1","2:1","3:1","5:3"],"answer":"D","correct_option":"5:3","explanation":"Let's join the midpoints as shown in the figure then we'll get four small squares...\nAODX be 1 and similarly all squares..and we can split the unit 1 into half and half as per the mid points...\nThen shaded will be 1+1\/2+1\/2+1\/2 = 5\/2\nand unshaded is 1\/2+1\/2+1\/2 = 3\/2..\nshaded : unshaded is 5:3..\nANS option D.","dataset":"aqua_rat"}
{"question":"A student got 74% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?","options":["61%","63%","65%","67%"],"answer":"D","correct_option":"67%","explanation":"74 + 84 + x = 3*75\nx = 67\nThe answer is D.","dataset":"aqua_rat"}
{"question":"Solve(0.76 \u00d7 0.76 \u00d7 0.76 \u2212 0.008)\/(0.76 \u00d7 0.76 + 0.76 \u00d7 0.2 + 0.04)","options":["0.56","0.62","0.5","0.48"],"answer":"A","correct_option":"0.56","explanation":"0.56\nOption 'A'","dataset":"aqua_rat"}
{"question":"If Albert\u2019s monthly earnings rise by 14%, he would earn $678. If, instead, his earnings rise by only 15%, how much (in $) would he earn this month?","options":["643","689","683","690"],"answer":"C","correct_option":"683","explanation":"=678\/1.14\u22171.15\n=683=683\nAnswer is C","dataset":"aqua_rat"}
{"question":"what do animals find in hot temperatures?","options":["shelter","excretion","Roundworms","emissions"],"answer":"A","correct_option":"shelter","explanation":"animals use shelter in hot temperatures","dataset":"qasc"}
{"question":"A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 30 days, then together ,all will finish the work in :","options":["13 1\/3 days","12 1\/3 days","15 days","12 days"],"answer":"D","correct_option":"12 days","explanation":"C alone can finish the work in 30 days.\n(A + B)can do it in 20 days\n(A + B)s 1 days wok = 1\/20.\nAs 1 days work : Bs 1 days Work = 1\/2 : 1 = 1:2.\nA\u00e2\u20ac\u2122s 1 day\u00e2\u20ac\u2122s work = (1\/20) * (1\/3) = (1\/60). [Divide 1\/20 in the raio 1:2] Bs 1 days work = (1\/20) * (2\/3) = 1\/30\n(A+B+c)S 1 day\u00e2\u20ac\u2122s work = (1\/60) + (1\/30) + (1\/30) = 1\/12\nAll the three together will finish it in 1\/12 = 12 days.\nANSWER:D","dataset":"aqua_rat"}
{"question":"In a weight-lifting competition, the total weight of Joe's two lifts was 600 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?","options":["225","275","300","350"],"answer":"C","correct_option":"300","explanation":"This problem is a general word translation. We first define variables and then set up equations.\nWe can define the following variables:\nF = the weight of the first lift\nS = the weight of the second lift\nWe are given that the total weight of Joe's two lifts was 600 pounds. We sum the two variables to obtain:\nF + S = 600\nWe are also given that twice the weight of his first lift was 300 pounds more than the weight of his second lift. We express this as:\n2F = 300 + S\n2F \u2013 300 = S\nWe can now plug in (2F \u2013 300) for S into the first equation, so we have:\nF + 2F \u2013 300 = 600\n3F = 900\nF = 300\nAnswer is C","dataset":"aqua_rat"}
{"question":"The profits of QRS company rose 20% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?","options":["15%","32%","44%","62%"],"answer":"C","correct_option":"44%","explanation":"Assume 100 in march , then 120 in April as 20% increase , Then 96 in may as 20% decrease from April , and then 144 in june which is 150% of 96 .\nSo overall increase is from 100 to 144 is 44%\nAnswer C","dataset":"aqua_rat"}
{"question":"What are the most numerous organisms in the world?","options":["jellyfish","insects","primates","reptiles"],"answer":"B","correct_option":"insects","explanation":"Insects are arthropods in the class Hexapoda. They are the most numerous organisms in the world.","dataset":"science"}
{"question":"Water molecules move about continuously due to what type of energy?","options":["potential","optical","seismic","kinetic"],"answer":"D","correct_option":"kinetic","explanation":"Water molecules move about continuously due to their kinetic energy. When a crystal of sodium chloride is placed into water, the water\u2019s molecules collide with the crystal lattice. Recall that the crystal lattice is composed of alternating positive and negative ions. Water is attracted to the sodium chloride crystal because water is polar and has both a positive and a negative end. The positively charged sodium ions in the crystal attract the oxygen end of the water molecules because they are partially negative. The negatively charged chloride ions in the crystal attract the hydrogen end of the water molecules because they are partially positive. The action of the polar water molecules takes the crystal lattice apart (see image below).","dataset":"science"}
{"question":"A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men or all women?","options":["72","68","74","82"],"answer":"B","correct_option":"68","explanation":"First list all the possible combinations of Groups wit F = Female and M = Male:\nMMMF\nTotal Combinations of 16 (4*3*2\/3! *4)\nFFFM\nTotal Combinations of 16 (same as above)\nFFMM\nTotal Combinations of 36 (4*3\/2! * 4*3\/2!)\nAltogether that makes 68.\nAnswer Choice B","dataset":"aqua_rat"}
{"question":"If a boat is moving in upstream with velocity of 14 km\/hr and goes downstream with a velocity of 40 km\/hr, then what is the speed of the stream ?","options":["13 km\/hr","26 km\/hr","34 km\/hr","44 km\/hr"],"answer":"A","correct_option":"13 km\/hr","explanation":"if the downstream is a km\/hr and upstream is b km\/hr then speed of stream is 1\/2(a-b)\nso, 1\/2(40-14)=13 km\/hr ANSWER:A","dataset":"aqua_rat"}
{"question":"A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 2 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?","options":["3\/4","4","18\/19","9"],"answer":"C","correct_option":"18\/19","explanation":"yes there is a typo in the question, I got the same ques on my GMAT PREP last week, and the questions goes as:\nA company has two types of machines,type R and type S.Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 2 hours .If the company used the same number of each type of machine to do job in2 hours,how many machine R were used?\nSo for a job to be done in 2 hours R = 1\/2\nR_a(Rate of Machine R) = 1\/36\nR_s(Rate of Machine S) = 1\/2\nLets say x machines are used to attain the desired rate, thus\nx\/36+x\/2 = 1\/2 (Desired R =1\/2 i.e. to complete the job in 2 hours)\n(x+18x)\/36 = 1\/2\n19x\/36 = 1\/2\nx = 18\/19.\nQA = 18\/19 (ANSWER C)","dataset":"aqua_rat"}
{"question":"A bag contains 6 black and 7 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?","options":["3\/4","7\/13","1\/7","1\/8"],"answer":"B","correct_option":"7\/13","explanation":"Let number of balls = (6 + 7) = 13.\nNumber of white balls = 7.\nP (drawing a white ball) =7\/13\nOption B.","dataset":"aqua_rat"}
{"question":"In the rectangular coordinate system, what is the area of triangle CDE with points\nC=(5,8)\nD=(4,2)\nE=(8,0)","options":["13","12","12.8","14"],"answer":"A","correct_option":"13","explanation":"Use the formula of the distance formula\nsquare root (x2-x1)^2+(y2-y1)^2\nDo this for each of the sides and then the value is given as A.","dataset":"aqua_rat"}
{"question":"Working simultaneously and independently at an identical constant rate, 10 machines of a certain type can produce a total of x units of product P in 4 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 6 days?","options":["14","15","18","20"],"answer":"D","correct_option":"20","explanation":"The rate of 10 machines is rate=job\/time=x\/4 units per day --> the rate of 1 machine 1\/10*(x\/4)=x\/40 units per day;\nNow, again as {time}*{combined rate}={job done}\nthen 6*(m*x\/40)=3x --> m=20.\nAnswer: D.","dataset":"aqua_rat"}
{"question":"Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are","options":["6, 8","9, 12","12, 16","16, 20"],"answer":"A","correct_option":"6, 8","explanation":"Solution\nLet the numbers be 3x and 4x. Then,\n(4x)2 = 8 x (3x)2 - 224\n\u2039=\u203a16x2 = 72x2 - 224\n\u2039=\u203a56x2 = 224.\n\u2039=\u203ax2 = 4.\n\u2039=\u203ax = 2.\nSo, the numbers are 6 and 8.\nAnswer A","dataset":"aqua_rat"}
{"question":"In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability Y that the worker is under 25 years old?","options":["0.30","0.25","0.45","0.70"],"answer":"D","correct_option":"0.70","explanation":"Percentage of male worker = 48\nPercentage of female worker = 52\nLet total number of workers = 1000\nnumber of male workers= 480\nnumber of female workers = 520\nNumber of male age 25 or older = (4\/10)*480 = 192\nNumber of female age 25 or older =(2\/10)*520 = 104\nTotal number of workers 25 or older = 192+104 = 296\nTotal number of workers under 25 = 1000 - 296 = 704\nProbability that a worker randomly selected is under 25 years old = 704\/1000 = .704\nAlternatively , since the answer options are not close , we can use estimation here .\nPercentage of male worker 25 or older = (4\/10)*48 = 20 % approx\nPercentage of female worker 25 or older = (2\/10)*52 = 10 % approx\nPercentage of total worker 25 or older = 30 %\nPercentage of total worker under 25 = 70 %\nProbability that a worker randomly selected is under 25 years old Y= .7\nAnswer D","dataset":"aqua_rat"}
{"question":"Find the average of all the numbers between 6 and 34 which are divisible by 5.","options":["18","20","24","30"],"answer":"B","correct_option":"20","explanation":"Solution\nAverage\t= (10+15+20+25+30\/5)\n= 100 \/ 5\n= 20.\nAnswer B","dataset":"aqua_rat"}
{"question":"3 years ago the average age of a family of 5 members was 17 years. With the birth of a new baby, the average age of six members remains the same even today. Find the age of the new baby.","options":["1 year","2 years","1 1\u20442 years","cannot be determined"],"answer":"B","correct_option":"2 years","explanation":"Sum of present ages of the six members\n= (17 \u00d7 6) years = 102 years.\nSum of present ages of the 5 members (excluding baby)\n= 5 \u00d7 (17 + 3) years = 100 years.\n\u2234 Age of the baby = 102 \u2013 100 = 2 years\nAnswer B","dataset":"aqua_rat"}
{"question":"Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number?","options":["9","12","14","16"],"answer":"B","correct_option":"12","explanation":"Explanation:\nWe have, 2\/3 * 2\/5 * 3\/4 * X = 36\nX = 180\nNow, 4\/5 * X ===> 4\/5 * 180 = 144\n\u221a144 = 12\nANSWER: B","dataset":"aqua_rat"}
{"question":"Which of the following prolongs combustion?","options":["fire extinguishers","water","smothering","candle wax"],"answer":"D","correct_option":"candle wax","explanation":"","dataset":"science"}
{"question":"I. a^2 + 11a + 30 = 0,\nII. b^2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?","options":["If a < b","If a \u2264 b","If a > b","If the relationship between a and b cannot be established"],"answer":"B","correct_option":"If a \u2264 b","explanation":"Explanation:\nI. (a + 6)(a + 5) = 0\n=> a = -6, -5\nII. (b + 5)(b + 1) = 0\n=> b = -5, -1 => a \u2264 b\nOption B","dataset":"aqua_rat"}
{"question":"What does the triploid cell develop into during fertilization?","options":["zygote","tubers","endosperm","membrane"],"answer":"C","correct_option":"endosperm","explanation":"Double Fertilization After pollen is deposited on the stigma, it must germinate and grow through the style to reach the ovule. The microspores, or the pollen, contain two cells: the pollen tube cell and the generative cell. The pollen tube cell grows into a pollen tube through which the generative cell travels. The germination of the pollen tube requires water, oxygen, and certain chemical signals. As it travels through the style to reach the embryo sac, the pollen tube\u2019s growth is supported by the tissues of the style. In the meantime, if the generative cell has not already split into two cells, it now divides to form two sperm cells. The pollen tube is guided by the chemicals secreted by the synergids present in the embryo sac, and it enters the ovule sac through the micropyle. Of the two sperm cells, one sperm fertilizes the egg cell, forming a diploid zygote; the other sperm fuses with the two polar nuclei, forming a triploid cell that develops into the endosperm. Together, these two fertilization.","dataset":"science"}
{"question":"The distance between A&B is 1540km. A person is traveling from A to B at 100km\/hr started at 6AM and another person is traveling from B to A at 120km\/hr and started at same time. Then at what time they meet together.","options":["11AM","1PM","3PM","10AM"],"answer":"B","correct_option":"1PM","explanation":"Let x hours be they will meet together\ndistance covered by 1st person+distance covered by 2nd person = 1540km\n100x+120x = 1540\nx= 7 hr\nThey will meet = 6AM +7hr = 1PM\nAnswer is B","dataset":"aqua_rat"}
{"question":"Find the sum of the number of combinations possible by using 1,2,3,4 such that no number is repeated(ex:- 1223,4322 are invalid 1234,4321 are valid)more than once.","options":["66660","66760","66860","66960"],"answer":"A","correct_option":"66660","explanation":"total no. formed = 4!=4*3*2*1=24\neach digit will be used at each positions, 6 times\nsum of digits at unit place = 6*1+6*2+6*3+6*4 = 6*(1+2+3+4)= 60\nthis sum will be same for hundred, tens & unit places\nsum of all 4 digit numbers formed using digits 1,2,3,4\n= 1000*60+100*60+10*60+60\n=60*(1000+100+10+1)\n=60*1111\n=66660\nANSWER:A","dataset":"aqua_rat"}
{"question":"A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of Rs. 200 each. For each rise of Rs. 4 in the selling price she will sell 2 less suits a week. If she sells the suits for Rs. x each, how many rupees a week will she receive from the sales of the suits?","options":["x2\/2","200\u2212x\/2","50x - (x^2)\/4)","150x - (x^2)\/4)"],"answer":"B","correct_option":"200\u2212x\/2","explanation":"Explanatory Answer\nAssume that she sells the suits at Rs.204; then she will sell two suits lesser or 98 suits.\nSubstitute x = 204 in each of the answer choices and check where the answer is 98.\nFor choice (2), the answer is 98 and this is the quickest way to find the answer.\nAnswer B","dataset":"aqua_rat"}
{"question":"The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time W all five colored lights will all flash together at the exact same time?","options":["0:03 AM","0:04 AM","0:06 AM","0:12 AM"],"answer":"D","correct_option":"0:12 AM","explanation":"Time taken by each light to on\nRed = 20 secs\nBlue = 30 secs\nGreen = 45 secs\nOrange = 60 secs\nYellow = 80 secs\nWe need to take LCM to find the time all five colored lights will flash together.\nLCM = 720 secs\n=12 mins\n=0.12 AM\nAns = D","dataset":"aqua_rat"}
{"question":"A soccer store typically sells replica jerseys at a discount of 30 percent to 70 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?","options":["20","25","30","40"],"answer":"D","correct_option":"40","explanation":"Let the list price be 2x\nfor min sale price, the first discount given should be 70%, 2x becomes x here\nnow, during summer sale additional 20% off is given ie sale price becomes 0.8x\nit is given lise price is $80\n=> 2x = 80\n=> x = 40\nand 0.8x = 32\nso lowest sale price is 32, which is 40% of 80\nhence, D is the answer","dataset":"aqua_rat"}
{"question":"The physical sciences can be divided into physics and what other science?","options":["phsycology","astrology","biology","chemistry"],"answer":"D","correct_option":"chemistry","explanation":"Physical science, in turn, can be divided into chemistry and physics. Chemistry is the study of matter and energy at the scale of atoms and molecules. For example, the synthetic fibers in the swimmer\u2019s suit were created in labs by chemists. Physics is the study of matter and energy at all scales\u2014from the tiniest particles of matter to the entire universe. Knowledge of several important physics concepts\u2014such as motion and forces\u2014contributed to the design of the swimmer\u2019s suit.","dataset":"science"}
{"question":"What is the sum of the 1st 6 prime numbers greater than 10?","options":["112","111","212","115"],"answer":"A","correct_option":"112","explanation":"Required numbers are= (11 + 13 + 17 + 19 + 23+ 29) = 112\nNote: 1 is not a prime number\nAnswer A","dataset":"aqua_rat"}
{"question":"At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s \u2013 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 2?","options":["$0.50","$0.75","$1.25","$1.50"],"answer":"B","correct_option":"$0.75","explanation":"Salary grade of 5 is p(5)=9.50+0.25(5\u20131)=9.50+0.25*4;\nSalary grade of 2 is p(2)=9.50 + 0.25(2\u20131)=9.50+0.25;\np(5)-p(2)=9.50+0.25*4-9.50-0.25=0.75.\nAnswer: B.","dataset":"aqua_rat"}
{"question":"Pipe A can fill a tank in 60 min . There is a second pipe in the bottom of the cistern to empty it. If all the two pipes are simultaneously opened, then the cistern is full in 180 min. In how much time, the second pipe alone can empty the cistern?","options":["60 min","45 min","90 min","70 min"],"answer":"B","correct_option":"45 min","explanation":"Work done by the third pipe in 1 min = 1\/180 - (1\/60) = - 1\/45.\n[-ve sign means emptying]\nThe third pipe alone can empty the cistern in 45 min.\nANSWER:B","dataset":"aqua_rat"}
{"question":"An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth","options":["333","500","887","299"],"answer":"B","correct_option":"500","explanation":"Explanation:\nLet the total sale be Rs. x.\nThen, 2.5%. of x = 12.50 <=> (25\/100 * 1\/100 * x) = 125\/10 <=> x = 500.\nAnswer: B) 500","dataset":"aqua_rat"}
{"question":"Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 10 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km\/hr)?","options":["48 km\/hr","56 km\/hr","64 km\/hr","72 km\/hr"],"answer":"A","correct_option":"48 km\/hr","explanation":"Let the speed of the slower train be x m\/s\nThen, the speed of the faster train is 2x m\/s\nThe relative speed is 3x m\/s\n(100 + 100)\/10 = 3x\nx = 20\/3\nSo, the speed of the faster train is 40\/3 = 40\/3 * 18\/5 = 48 km\/hr\nThe answer is A.","dataset":"aqua_rat"}
{"question":"What can be used to generate heat?","options":["wind","desire","knobs","gas"],"answer":"D","correct_option":"gas","explanation":"gas can be used to generate heat","dataset":"qasc"}
{"question":"The C.P of 40 pens is equal to the S.P of 60 pens. Find his gain % or loss%","options":["25 2\/3","32 1\/3","33 1\/3","25 1\/3"],"answer":"C","correct_option":"33 1\/3","explanation":"40 CP = 60 SP\n60 --- 20CP loss\n100 --- ? => 33 1\/3%\nAnswer: C","dataset":"aqua_rat"}
{"question":"If x\u22605 and (x^2 - 25)\/(2y) = (x - 5)\/4, then in terms of y, x = ?","options":["(y - 6)\/2","(y - 10)\/2","y - 3","y - 6"],"answer":"B","correct_option":"(y - 10)\/2","explanation":"Since (x^2 \u2013 25)=(x-5)(x+5) the original equation can be changed into 4*(x-5)(x+5) = 2y *(x-5).\nBy cancelling 2(x-5) (we can do it because x\u22605) we get :\n2*(x+5)=y.\nSo x=(y-10)\/2. So the answer is B).","dataset":"aqua_rat"}
{"question":"The length of the bridge, which a train 130 meters long and travelling at 45 km\/hr can cross in 30 seconds, is?","options":["388","277","245","288"],"answer":"C","correct_option":"245","explanation":"Speed = (45 * 5\/18) m\/sec = (25\/2) m\/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)\/30 = 25\/2 ==> 2(130 + X) = 750 ==> X = 245 m.Answer: C","dataset":"aqua_rat"}
{"question":"what can cause fatigue?","options":["cigarettes","Dehydration","expansion","Pollution"],"answer":"C","correct_option":"expansion","explanation":"expansion can cause fatigue","dataset":"qasc"}
{"question":"A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 150 miles per hour against the wind. Which of the following is closest to the pilot\u2019s average speed, in miles per hour, for the round-trip?","options":["280","210","300","310"],"answer":"B","correct_option":"210","explanation":"Avg speed = total distance\/ total time\ntotal distance = 800\ntotal time = 400\/350 + 400\/150 = 80\/21\n=> avg speed = (800*21)\/80 = 210(approx)\nans is B","dataset":"aqua_rat"}
{"question":"What type of maps detail detail the types and locations of rocks found in an area?","options":["polar maps","contour maps","gnomic maps","geologic maps"],"answer":"D","correct_option":"geologic maps","explanation":"Geologic maps detail the types and locations of rocks found in an area.","dataset":"science"}
{"question":"Bradley owns b video game cartridges. If Bradley\u2019s total is one-third the total owned by Andrew and twice the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?","options":["(16\/3)b","(17\/4)b","(13\/4)b","(9\/2)b"],"answer":"D","correct_option":"(9\/2)b","explanation":"Step 1: Categorize the problem\nThis problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.\nStep 2: Think like the test maker\nWhat is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlie\u2019s totals in relation to Bradley\u2019s total rather than giving you Bradley\u2019s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlie\u2019s values in relation to Bradley\u2019s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.\nStep 3: Solve the problem\nb = Bradley\u2019s total\n3b = Andrew\u2019s total\n(1\/2)b = Charlie\u2019s total\nAdd each total\nb + 3b+ (1\/2)b = 4b + (1\/2)b = (16\/4)b + (1\/2)b = (9\/2)b\nTherefore,choose D.","dataset":"aqua_rat"}
{"question":"If a boat goes 9km upstream in 108 minutes and the speed of the stream is 2 kmph, then the speed of the boat in still water is ?","options":["5","6","7","8"],"answer":"C","correct_option":"7","explanation":"Rate upsteram =(9\/108*60)kmph=5kmph.\nspeed of the stream =2kmph let speed in still water be xkm\/hr. then speed upstream=(x-2)km\/hr. x-2=5==>x=7km\/hr Answer(C)","dataset":"aqua_rat"}
{"question":"The cash difference between the selling prices of an article at a profit of 2% and 6% is Rs 3. The ratio of two selling prices is","options":["51:53","52:53","53:54","54:55"],"answer":"A","correct_option":"51:53","explanation":"Explanation:\nLet the Cost price of article is Rs. x\nRequired ratio = (102% of x) \/ (106% of x)\n=102\/106\n=51\/53 = 51:53.\nAnswer: A","dataset":"aqua_rat"}
{"question":"A college starts from 10 AM continues till 1:30 PM. In this duration there are five periods. If 5 minutes are provided before each period to leave the room and enter the other, then what is the duration of each period?","options":["38 min","41 min","40 min","42 min"],"answer":"A","correct_option":"38 min","explanation":"before first period no need to leave the room and enter the room.\nso,for 5 periods 4 times 5 minutes break will be provided. that is 20 mins.\n10 A.M-1:30 P.M=210mins\n210-20=190\ntherefore 190\/5=38 mins.\nANSWER:A","dataset":"aqua_rat"}
{"question":"dead organisms are the source of what for decomposers?","options":["place to sleep","art","friendship","sustenance"],"answer":"D","correct_option":"sustenance","explanation":"","dataset":"science"}
{"question":"If Rs. 510 be divided among A, B, C in such a way that A gets 2\/3 of what B gets and B gets 1\/4 of what C gets, then their shares are respectively:","options":["Rs.260","Rs.360","Rs.350","Rs.364"],"answer":"B","correct_option":"Rs.360","explanation":"(A = 2\/3 B and B = 1\/4 C) = A\/B = 2\/3 and B\/C = 1\/4\nA:B = 2:3 and B:C = 1:4 = 3:12\nA:B:C = 2:3:12\nA;s share = 510 * 2\/17 = Rs. 60\nB's share = 510 * 3\/17 = Rs. 90\nC's share = 510 * 12\/17 = Rs.360.\nAnswer: B","dataset":"aqua_rat"}
{"question":"The unit digit in the product (722 * 774 * 889 * 223) is:","options":["2","7","6","8"],"answer":"C","correct_option":"6","explanation":"Explanation:\nUnit digit in the given product = Unit Digit in (2*4*9*3) = 6\nANSWER: C","dataset":"aqua_rat"}
{"question":"The length of a train and that of a platform are equal. If with a speed of 54 k\/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?","options":["752","450","719","750"],"answer":"B","correct_option":"450","explanation":"Speed = [54 * 5\/18] m\/sec = 15 m\/sec; Time = 1 min. = 60 sec.\nLet the length of the train and that of the platform be x meters.\nThen, 2x\/60 = 15 \u00c3\u00a8 x = 15 * 60 \/ 2 = 450\nAnswer: B","dataset":"aqua_rat"}
{"question":"When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?","options":["5040","5020","5010","5030"],"answer":"A","correct_option":"5040","explanation":"Let the total amount be Rs. X the,\nx\/14 - x\/18 = 80<=> 2x\/126 = 80 <=> x\/63 =63 x 80 = 5040.\nHence the total amount is 5040.\nAnswer is A.","dataset":"aqua_rat"}
{"question":"What is made and stored primarily in the cells of the liver and muscles?","options":["carbon dioxide","glucose","glycogen","oxygen"],"answer":"C","correct_option":"glycogen","explanation":"Glycogen is an even more highly branched polysaccharide of glucose monomers that serves a function of energy storage in animals. Glycogen is made and stored primarily in the cells of the liver and muscles.","dataset":"science"}
{"question":"The goal of proteomics is to identify or compare what substances expressed from a given genome under specific conditions, study the interactions between them, and use the information to predict cell behavior or develop drug targets?","options":["dna","proteins","cells","rna"],"answer":"B","correct_option":"proteins","explanation":"Basic Techniques in Protein Analysis The ultimate goal of proteomics is to identify or compare the proteins expressed from a given genome under specific conditions, study the interactions between the proteins, and use the information to predict cell behavior or develop drug targets. Just as the genome is analyzed using the basic technique of DNA sequencing, proteomics requires techniques for protein analysis. The basic technique for protein analysis, analogous to DNA sequencing, is mass spectrometry. Mass spectrometry is used to identify and determine the characteristics of a molecule. Advances in spectrometry have allowed researchers to analyze very small samples of protein. X-ray crystallography, for example, enables scientists to determine the three-dimensional structure of a protein crystal at atomic resolution. Another protein imaging technique, nuclear magnetic resonance (NMR), uses the magnetic properties of atoms to determine the three-dimensional structure of proteins in aqueous solution. Protein microarrays have also been used to study interactions between proteins. Large-scale adaptations of the basic two-hybrid screen (Figure 17.17) have provided the basis for protein microarrays. Computer software is used to analyze the vast amount of data generated for proteomic analysis. Genomic- and proteomic-scale analyses are part of systems biology. Systems biology is the study of whole biological systems (genomes and proteomes) based on interactions within the system. The European Bioinformatics Institute and the Human Proteome Organization (HUPO) are developing and establishing effective tools to sort through the enormous pile of systems biology data. Because proteins are the direct products of genes and reflect activity at the genomic level, it is natural to use proteomes to compare the protein profiles of different cells to identify proteins and genes involved in disease processes. Most pharmaceutical drug trials target proteins. Information obtained from proteomics is being used to identify novel drugs and understand their mechanisms of action.","dataset":"science"}
{"question":"Seller selling an apple for Rs.16, a Seller loses 1\/6th of what it costs him. The CP of the apple is?","options":["10","12","17","18"],"answer":"C","correct_option":"17","explanation":"SP=16Loss=CP17Loss=CP\u2212SP=CP\u221216\u21d2CP17=CP\u221216\u21d216 CP17=16\u21d2CP17=1\u21d2CP=17\nC","dataset":"aqua_rat"}
{"question":"A contractor is engaged for 30days on the condition that he receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.490 in all. For how many days was he absent?","options":["8","10","15","17"],"answer":"A","correct_option":"8","explanation":"30 * 25 = 750\n490\n-----------\n260\n25 + 7.50 = 32.5\n260\/32.5 = 8\nA","dataset":"aqua_rat"}
{"question":"Nearly all protists exist in some type of aquatic environment, including freshwater and marine environments, damp soil, and even snow. several protist species are parasites that infect animals or plants. a few protist species live on dead organisms or their wastes, and contribute to what?","options":["greenhouse gas","spontaneous mutation","habitat loss","their decay"],"answer":"D","correct_option":"their decay","explanation":"Habitats Nearly all protists exist in some type of aquatic environment, including freshwater and marine environments, damp soil, and even snow. Several protist species are parasites that infect animals or plants. A few protist species live on dead organisms or their wastes, and contribute to their decay.","dataset":"science"}
{"question":"In store A there are 50 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?","options":["3:16.","2:3.","5:3.","3:4."],"answer":"C","correct_option":"5:3.","explanation":"1st statement : ratio of pants\nStore A : Store B\n50x : 40x\n5X:4X\nPrice :\n4y:3y\nTotal revenue\n20xy : 12xy\n5:3\nAnswer is C","dataset":"aqua_rat"}
{"question":"A boat goes 100 km downstream in 10 hours, and 90 km upstream in 15 hours. The speed of the stream is?","options":["5km\/h","4km\/h","2km\/h","(1\/2) km\/h"],"answer":"C","correct_option":"2km\/h","explanation":"100 --- 10 DS = 10\n? ---- 1\n90 ---- 15 US = 6\n? ----- 1 S = (10 - 6)\/2\n= 2 kmph\nANSWER:C","dataset":"aqua_rat"}
{"question":"A total of 525 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.","options":["511","512","256","524"],"answer":"D","correct_option":"524","explanation":"There are 525 players, only 1 person wins, 524 players lose. in order to lose, you must have lost a game.\n524 games.\nAns- D","dataset":"aqua_rat"}
{"question":".3+33+333+33.3=?","options":["362.33","399.6","702.33","702"],"answer":"B","correct_option":"399.6","explanation":".3\n33\n333\n33.3\n----------\n399.6\n----------\nAnswer is B","dataset":"aqua_rat"}
{"question":"A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability Q that all 3 jellybeans removed from the bag are blue?","options":["9\/100","2\/19","1\/8","3\/20"],"answer":"B","correct_option":"2\/19","explanation":"Method-1\n10 red jellybeans and 10 blue jellybeans\nTotal Outcomes = No. of ways to choose 3 Jelly bean at random out of a total 20 jellybeans = 20C3 = 1140\nFavourable Outcomes = No. of ways to choose 3 Jelly bean such that they are all Blue out of 10 Blue = 10C3 = 120\nProbability = Favourable Outcomes \/ Total Outcomes = 10C3 \/ 20C3\nProbability Q= 120 \/ 1140 = 2\/19\nAnswer: option B\nMethod-2\nProbability of First jelly bean to be Blue = 10\/20 [Total 10 Blue out of total 20 jellybeans]\nProbability of Second jelly bean to be Blue = 9\/19 [Total 9 Blue remaining out of total 19 jellybeans remaining]\nProbability of Third jelly bean to be Blue = 8\/18 [Total 8 Blue remaining out of total 18 jellybeans remaining]\nRequired Probability = (10\/20)*(9\/19)*(8\/18) = 2\/19\nAnswer: option B","dataset":"aqua_rat"}
{"question":"A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 850 in 4 years. The\nrate on interest per annum is.","options":["4.20%","50%","60%","6.25%"],"answer":"D","correct_option":"6.25%","explanation":"Explanation:\nS.I. on Rs 800 for 1 year = 50\nRate = (100*50)\/(800*1) = 6.25%\nAnswer: D","dataset":"aqua_rat"}
{"question":"Webbed feet are used to move faster through what?","options":["rain","winds","clouds","swamps"],"answer":"D","correct_option":"swamps","explanation":"","dataset":"science"}
{"question":"Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?","options":["5\/18","1\/6","1\/4","1\/9"],"answer":"A","correct_option":"5\/18","explanation":"A's one day's work = 1\/30\nB's one day's work = 1\/45\n(A + B)'s one day's work = 1\/30 + 1\/45 = 1\/18\nThe part of the work completed in 5 days = 5 (1\/18) = 5\/18.\nANSWER A","dataset":"aqua_rat"}
{"question":"sunlight is a heat source emitted from","options":["a white dwarf star","our only yellow star","a nearby quasar star","a red giant star"],"answer":"B","correct_option":"our only yellow star","explanation":"","dataset":"science"}
{"question":"A batsman scored 120 runs which included 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets","options":["30%","50%","60%","80%"],"answer":"B","correct_option":"50%","explanation":"Number of runs made by running = 110 - (3 x 4 + 8 x 6)\n= 120 - (60)\n= 60\nNow, we need to calculate 60 is what percent of 120.\n=> 60\/120 * 100 = 50%\nB","dataset":"aqua_rat"}
{"question":"Linda and Angela contract to paint a neighbor's house. Even though Linda\nspends 25% more time painting the house than Angela, each receives a payment\nof m dollars when the work is completed. If Angela decides to pay Linda n\ndollars so that they would have received the same compensation per hour\nworked, what is n in terms of m?","options":["A)(1\/2)m","B)(1\/9)m","C)(1\/4)m","D)(1\/5)m"],"answer":"B","correct_option":"B)(1\/9)m","explanation":"let angela work for 8hrs and get 900 rs. (m =900)\nAccording to question, linda works 25% more time and gets the same amount. so let linda work 10 hrs and get 900 rs.\nso they do a total of 10 +8 =18 hrs of work and get 1800 rs together . The question basically asks to equalise their payment. so a total of 1800 rs is received by them and they do 18 hrs work together. average rate will be 1800\/18 = 100 rs per hr. so linda should get 10*100 =1000 rs. But she got only 900. so angela should give 100 rs to linda. answer = 100\/900 =1\/9\nanswer B","dataset":"aqua_rat"}
{"question":"If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?\nI. c-a=2\nII. abc is an even integer\nIII. a-b is positive integer","options":["I","II","I and II","II and III"],"answer":"C","correct_option":"I and II","explanation":"If a, b, c are consequitive positive integers and a<b<c, which of the following must be true?\n1. c-a=2\n2. abc is an even integer\n3. (a+b+c) is an integer\n1.\na=a\nb=a+1\nc=a+2\nc-a=a+2-a=2.\nCorrect\n2. abc\na can be either even or odd\nif a=even; abc=even;\nif a=odd,b=even; abc=even\nRule:\nmultiple of any number of integers if atleast once multiplied by an even number will result in even.\neven*even=even\neven*odd=even\nCorrect\n3. a-b = 1-2 = -1 => negative\nAnswer : C","dataset":"aqua_rat"}
{"question":"In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 54%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?","options":["1","2","3","4"],"answer":"C","correct_option":"3","explanation":"The tests scores are 4k, 5k, 6k, 7k, and 8k.\nThe sum of the test scores is 30k.\nThe average test score is 30k\/5 = 54. Then k = 9.\nThe test scores are 36, 45, 54, 63, and 72.\nThe student passed 3 subjects.\nThe answer is C.","dataset":"aqua_rat"}
{"question":"Earthworms help form and add what to soil","options":["Sediment","organic material","Converting waste.","bacteria"],"answer":"B","correct_option":"organic material","explanation":"Earthworms are important deposit feeders that help form and add organic material to soil","dataset":"qasc"}
{"question":"In 2008, the profits of Company M were 5 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?","options":["80%","105%","124%","240%"],"answer":"D","correct_option":"240%","explanation":"the profit 0f 2009 in terms of 2008 = 0.8*15\/5*100=240%\nD","dataset":"aqua_rat"}
{"question":"How many 8 \u2032 s are there in the given sequence which are not immediately preceded by 09 and not immediately followed by 90?\n9 0 8 0 9 0 9 8 9 0 8 9 0 8 0 9 8 9 0 9 8 0 9 8 9 0 8 9 0","options":["3","1","2","More than 3"],"answer":"A","correct_option":"3","explanation":"the given logic is executed 3 times for 8's occuring at 2nd eight,5th eight and 7th eight in the sequence.\nANSWER:A","dataset":"aqua_rat"}
{"question":"If the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be?","options":["20% decrease","10% increase","10% decrease","15% increase"],"answer":"A","correct_option":"20% decrease","explanation":"Let the original price be $100\nNew final price = 160% of (50% of $100)\n= 160\/100 * 50\/100 *100 = $80\nDecrease is 20%\nAnswer is A","dataset":"aqua_rat"}
{"question":"Last year a certain bond price with a face value of 5000 yielded 7% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?","options":["4063","5325","5385","6000"],"answer":"C","correct_option":"5385","explanation":"Interest = 0.07*5000 = 0.065*selling price --> selling price = 0.07*5000\/0.065 --> selling price = ~5,385\nAnswer: C.","dataset":"aqua_rat"}
{"question":"What type of stored chemical energy do plants create?","options":["Green beans","Organic compounds","Calories","Carbohydrates"],"answer":"D","correct_option":"Carbohydrates","explanation":"Conversion of eletromagnetic energy into carbohydrates creates a stored chemical energy","dataset":"qasc"}
{"question":"What would be the compound interest on Rs.7700\/- at 15 \u00bc% per year for 2 years compounded annually","options":["2527.57","2257.57","2572.57","2752.57"],"answer":"A","correct_option":"2527.57","explanation":"Principal = Rs. 7700\/-\ntime = 2 years\nrate = 15 \u00bc%\nAmount = P(1+R\/100)n\n= 7700 \u00d7 (1 + 61\/(4 \u00d7 100)2)\n= 7700 \u00d7 [(1 + 61\/400)2]\n= 7700 \u00d7 [(461\/400)2)]\n= 7700 \u00d7 461\/400 \u00d7 461\/400\n= 7700 \u00d7 1.1525 \u00d7 1.1525\n= 7700 \u00d7 1.32825625\n= 10227.573125\nC.I = 10227.573125 - 7700 = 2527.57\/-\nAnswer is A.","dataset":"aqua_rat"}
{"question":"A 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds. What is the length of the platform?","options":["120","840","350","420"],"answer":"D","correct_option":"420","explanation":"Speed = [420 \/ 30] m\/sec =14 m\/sec.\nLet the length of the platform be x meters.\nThen, x + 420\/ 60 = 14\nx + 420 = 840 \u00e8 x = 420m. Answer: D","dataset":"aqua_rat"}
{"question":"Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 12 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?","options":["37.5 kilometers per hour","48.4 kilometers per hour","50 kilometers per hour","75 kilometers per hour"],"answer":"B","correct_option":"48.4 kilometers per hour","explanation":"Time taken to reach first 40 km is 40\/60 = 2\/3 hr\nTime taken to reach next 40 km is 40\/60 = 2\/3 hr\nTime taken to reach next 20 km is 20\/60 = 1\/3 hr\nDanny stopped twice on his way at 40 km from starting point and at 80km from the starting point...\nEach stop was of 12 min , so two 12min break = 2*1\/5 => 2\/5 hr\nTotal time taken to reach 100 km is (2\/3 + 2\/3 + 1\/3+2\/5 ) = 31\/15 hrs\nSo, Average speed is 100\/(31\/15) = 48.4km\/hour\nAnswer will be B","dataset":"aqua_rat"}
{"question":"in town of 500 people,285 read hindu and 212 read indian express and 127 read times of india 20 read hindu and times of india and 29 read hindu and indian express and 35 read times of india and indian express . 50 read no news paper . then how many read only one paper?","options":["320","321","421","417"],"answer":"B","correct_option":"321","explanation":"HIndu = 285\nTOI = 127\nIE = 212\nnow\nHindu and TOI both is = 20\nTOI and IE both is = 35\nHindu and IE both is = 29\nnow suppose Hindu , TOI nd IE all is = x ;\nso,only Hindu is = 285-20-29-x = 236-x ;\nonly TOI is = 127-20-35-x = 72-x ;\nonly IE is = 212-35-29-x = 148-x ;\nnow, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500\nso, x = 45 this is the value who read all the 3 dailies.\nso,result is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321. ANSWER:B","dataset":"aqua_rat"}
{"question":"Q. How many 9-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5, 5, 6, 6, 7?","options":["180","140","210","270"],"answer":"B","correct_option":"140","explanation":"the number is less than 3000000 so we will have the digit on the left most side to be either 1 or 2\ni.e your number can be 1 _ _ _ _ _ _ or 2 _ _ _ _ _ _\ncase 1 > 1 _ _ _ _ _ _ here the units digit can be either 2 or 6\nwhen the units digit is 2 i.e 1 _ _ _ _ _ 2\nnumber of ways this can be done would be 5! \/ 2! (as 5 is repeated twice) = 60\nwhen the units digit is 6 i.e. 1 _ _ _ _ _ 6, number of ways would be 5!\/(2! * 2!) {both 2 and 5 repeat twice} = 30\ncase 2 > 2 _ _ _ _ _ _ (here units digit may be 2 or 6)\nnumber of ways this can be done would be 5! \/ (2!) for 2 =60\nand 5! \/ 2! for 6 ... = 60\nadding all of these ... gives the answer 140 ...\nthe explanation looks difficult but this technique helps if you are familiar with the concept of permutations when the numbers\/alphabets repeat\nB","dataset":"aqua_rat"}
{"question":"A batsman scored 80 runs which included 2 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets?","options":["45%","500\/11","75%","55%"],"answer":"C","correct_option":"75%","explanation":"Explanation :\nNumber of runs made by running,\n=>80\u2212(2\u00d74+2\u00d76).\n=>80\u221220\n=>60\nHence, the required percentage is:-\n=>60\/80*100\n=>75%\nAnswer : C","dataset":"aqua_rat"}
{"question":"If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z).","options":["1118","1119","1121","1122"],"answer":"D","correct_option":"1122","explanation":"matrix\nv 50 w\n196 x y\n269 z 123\nin 1st row and 1st column\nv+196+269=v+50+w\nw=415\nAgain, in 2nd column and 3rd row\n50+x+z=269+z+123\nx=342\nAs sum of each row column and diagonal are same.\nSo, 269+342+415=1026\n415+y+123=1026\ny=488\n269+z+123=1026\nz=634\ny+z=488+634=1122\nANSWER:D","dataset":"aqua_rat"}
{"question":"A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1420. If a door and 2 windows occupy 8 sq. m, find the height of the room.","options":["4 m","4.5 m","5 m","5.5 m"],"answer":"C","correct_option":"5 m","explanation":"Explanation:\nLet breadth = x m, length = 3x m, height = H metres.\nArea of the floor = (Total cost of carpeting)\/(Rate\/m2)=(270\/5)m2=54m2.\nx\u00d7 (3x\/2) = 54 =>x2 = (54\u00d72\/3) = 36 <=> x = 6.\nSo, breadth = 6 m and length =(3\/2)\u00d76 = 9 m.\nNow, papered area = (1420\/10)m2 = 142 m2.\nArea of 1 door and 2 windows = 8 m2.\nTotal area of 4 walls = (142 + 8) m2 = 150 m2\n2\u00d7(9+ 6)\u00d7 H = 150 <=> H = 150\/30 = 5 m.\nAnswer: Option C","dataset":"aqua_rat"}
{"question":"When 40 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?","options":["1 : 1","4 : 3","3 : 2","Data inadequate"],"answer":"A","correct_option":"1 : 1","explanation":"Let the first and the second numbers be x and y respect then\ny + 40% of x = 140% of y\nor, y + 0.4x = 1.4y\nor, 0.4x = 0.4y\n\u2234 x : y = 0.4 : 0.4 = 1 : 1\nAnswer A","dataset":"aqua_rat"}
{"question":"What is the largest level of organization?","options":["genome","organelle","organism","protein"],"answer":"C","correct_option":"organism","explanation":"Levels of organization, from the atom (smallest) to the organism (largest). Notice that organelles are inside a cell, and organs are inside an organism.","dataset":"science"}
{"question":"A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.","options":["Rs.4000","Rs.1000","Rs.1250","Rs.2000"],"answer":"D","correct_option":"Rs.2000","explanation":"Explanation:\nP(11\/10)4 - P(6\/5)2 = 482\nP = 2000\nANSWER IS D","dataset":"aqua_rat"}
{"question":"9log9(6) = ?","options":["1","6","3","4"],"answer":"B","correct_option":"6","explanation":"Exponential and log functions are inverse of each other. Hence\naloga(x) = x , for all x real and positive.\nand therefore\n9log9(6) = 6\ncorrect answer B","dataset":"aqua_rat"}
{"question":"A prison of 10,000 inmates has enough food to feed them all for 50 days. After 10 days some of the inmates leave and the food is now enough for the same period of 50 days as before. How many of them left?","options":["3,000","2,200","2,000","1,000"],"answer":"C","correct_option":"2,000","explanation":"10,000 --- 50\n10,000 --- 40\nx --- 50\nx*50 = 10,000*40\nx = 8,000\n10,000\n--------\n2,000\nAnswer = C","dataset":"aqua_rat"}
{"question":"A bullet train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the bullet train is 54 km\/hr, what is the length of the platform?","options":["240 m","180 m","260 m","224 m"],"answer":"B","correct_option":"180 m","explanation":"A\n180 M\nSpeed = 54 x 5\/18 = 15 m\/s\nLength of the bullet train = (15 x 24)m = 360 m.\nLet the length of the platform be x metres.\nThen, (x + 360)\/36 = 15\n--> x + 360 = 540\nx = 180m. B","dataset":"aqua_rat"}
{"question":"Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?","options":["33","77","33","80"],"answer":"D","correct_option":"80","explanation":"We have M1 D1 H1 \/ W1 = M2 D2 H2 \/ W2 (Variation rule)\n(60 * 30 * 8)\/ 200 = (45 * D2 * 6) \/ 300\nD2 = (60 * 30 * 8 * 300) \/ (200 * 45 * 6) => D2 = 80.\nAnswer:D","dataset":"aqua_rat"}
{"question":"A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).","options":["260","440","556","792"],"answer":"B","correct_option":"440","explanation":"Run the numbers for houses. For the first 9 houses we need 9 signs.\nFor the next 90 we need 2 signs each or 180.\nFor the next 900 houses we need 3 signs each.\nIf we assume 300 homes, we will need 189 signs for the first 99 homes and then 603 signs for the 201 homes. So, we will use 792 signs for the first 300 homes and will have 420 signs remaining, which is enough for 42034203 or another 140 homes.\nThe total number of homes is 440\nAnswer: B","dataset":"aqua_rat"}
{"question":"To a sugar solution of 3 liters containing 40% sugar, one liter of water is added. The percentage of sugar in the new solution is?","options":["20%","30%","25%","15%"],"answer":"B","correct_option":"30%","explanation":"Quantity of sugar = 40*3\/100 = 1.2kg\nNew percentage = 1.2\/4 * 100 = 30%\nAnswer is B","dataset":"aqua_rat"}
{"question":"A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 4 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?","options":["0.5< t < 0.75","1.75< t < 2.0","1 < t < 2","2.5 < t < 3.0"],"answer":"C","correct_option":"1 < t < 2","explanation":"D=2, and R=1\ncircumference thus is 2pi miles\nwe know that she walked 4mph\nknowing the formula rt=D, we can deduce that t= D\/r\nD is 2pi miles and r is 4mph\nt = 2pi\/4\npi can be rewritten as 22\/7\n2*22\/7 = 44\/7 and multiply this by 1\/4 = 44\/28. This is greater than 1, but less than 2, therefore, 1<t<2. Answer choice C.","dataset":"aqua_rat"}
{"question":"A person bought 135 glass bowls at a rate of Rs. 15 per bowl. He sold 115 of them at Rs. 18 and the remaining broke. What is the percentage gain for A?","options":["40","30\/11","20\/9","27\/11"],"answer":"C","correct_option":"20\/9","explanation":"CP=135*15=2025 and SP=115*18=2070\nGain %= 100*(2070-2025)\/2025= 20\/9\nANSWER:C","dataset":"aqua_rat"}
{"question":"The cost of an article is decreased by 20%. If the original cost is $40, find the decrease cost.","options":["33","32","68","36"],"answer":"B","correct_option":"32","explanation":"Original cost = $40\nDecrease in it = 20% of $40\n= 20\/100 \u00c3\u2014 40\n= 800\/100\n= $8\nTherefore, decrease cost = $40 - $8 = $32\nAnswer:B","dataset":"aqua_rat"}
{"question":"A set of numbers has the property that for any number t in the set,t+3 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4","options":["I,III only","III only","II only","II,III only"],"answer":"D","correct_option":"II,III only","explanation":"question is asking for must be there elements.\nAccording to the question if t is there t+3 must be there.\nif -2 is the starting element the sequence is as follows.\nS ={-2,1,4,7,10....}\nif -2 is not the starting element the sequence is as follows\nS = {...-5,-2,1,4,7,10...}\nBy observing the above two sequences we can say that 1,4 must be there in set S.\nAnswer : D","dataset":"aqua_rat"}
{"question":"In how many different ways can the letters of the word \u2018CAN\u2019 be arranged?","options":["6","12","8","2"],"answer":"A","correct_option":"6","explanation":"A\n6\nThe word SMART has 3 distinct letters.\nNumber of arrangements = 3!\n= 3 \u00d7 2 \u00d7 1 = 6","dataset":"aqua_rat"}
{"question":"A florist has 2 azaleas, 4 buttercups, and 6 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?","options":["1\/2","2\/3","7\/11","17\/33"],"answer":"B","correct_option":"2\/3","explanation":"The probability that two of the same flowers were chosen:\nP(AA) = 2\/12 * 1\/11 = 2\/132\nP(BB) = 4\/12 * 3\/11 = 12\/132\nP(PP) = 6\/12 * 5\/11 = 30\/132\nThe sum of these probabilities is 1\/3\nP(two flowers are different) = 1 - 1\/3 = 2\/3\nThe answer is B.","dataset":"aqua_rat"}
{"question":"A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw\/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw\/h can three windmills produce in two hours on a stormy day?","options":["2880.","4860.","5780","5760"],"answer":"A","correct_option":"2880.","explanation":"Normal Day = 400 kw\/h\nStormy Day = 400*1.2=480 kw\/h\n3 windmills for 2 hours on stormy day\n480*3*2=2880\nAnswer: A","dataset":"aqua_rat"}
{"question":"The mean of 50 observations is 100. But later he found that there is decrements of 13 from each observations. what is the the updated mean is ?","options":["87","97","67","57"],"answer":"A","correct_option":"87","explanation":"87\nAnswer is A","dataset":"aqua_rat"}
{"question":"A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?","options":["767 kmph","55 kmph","54 kmph","33 kmph"],"answer":"C","correct_option":"54 kmph","explanation":"D = 100 + 125 = 225\nT = 15\nS = 225\/15 * 18\/5 = 54 kmph\nAnswer: C","dataset":"aqua_rat"}
{"question":"A rower can row upstream at 7 km\/hr and downstream at 13 km\/hr. What is the rower's rate in still water?","options":["8 km\/hr","9 km\/hr","10 km\/hr","11 km\/hr"],"answer":"C","correct_option":"10 km\/hr","explanation":"The rate in still water is 1\/2 * (13 + 7) = 10 km\/hr\nThe answer is C.","dataset":"aqua_rat"}
{"question":"If the least common multiple of two prime numbers x and y is 10, where x < y, then the value of 3x + y is","options":["7","9","11","12"],"answer":"C","correct_option":"11","explanation":"LCM (x,y) = 10 and both x an y are prime.\nThe only values of x and y can be 2 and 5 (x = 2 and y = 5)\n3x + y = 3*2 + 5 = 11\nCorrect Option: C","dataset":"aqua_rat"}
{"question":"6 people meet for a ceremony. Each person shakes hands once with each other person present. How many handshakes take place?","options":["30","21","18","15"],"answer":"D","correct_option":"15","explanation":"Let's look at the logic.\nEvery person shakes hand with other '5'. So, 6 people shake hands with 6X5= 30 people\nBut in this 30 we have counted two times the total handshakes (s shakes hand with t and t shakes hand with s)\nSo just divide 30\/2= 15 total handshakes\nAnswer is D","dataset":"aqua_rat"}
{"question":"Which changes the environment?","options":["backyard vegetable garden","television signals","vacuuming carpet","taking a nap"],"answer":"A","correct_option":"backyard vegetable garden","explanation":"","dataset":"science"}
{"question":"Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water , then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?","options":["29 journeys","30","20","50"],"answer":"A","correct_option":"29 journeys","explanation":"Explanation :\nHere, Large, Medium and Small ships are denoted by the symbol L, M and S.\nNow, according to the question,\n4L = 7S. ------(i)\n3M = 2L + S. ------(ii)\nUsing above equations, the ratios of the capacity of the Large, Medium and Small ships are :-\n7: 6 : 4.\nLet, the number of journeys required be x. Since, quantity of water remains the same, so :-\n=((15\u00d77+7\u00d76+14\u00d74)36) = x (12\u00d77+14\u00d76+21\u00d74).\n=>((15\u00d77+7\u00d76+14\u00d74)36) \/ (12\u00d77+14\u00d76+21\u00d74)= x\n=>x=7308\/252\n=>x=29.\nAnswer : A","dataset":"aqua_rat"}
{"question":"A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?","options":["3 (5\/18) days","3 (7\/11) days","3 (5\/11) days","2 (5\/11) days"],"answer":"C","correct_option":"3 (5\/11) days","explanation":"A can do 1\/10 of the work in a day.\nB can do 1\/12 of the work in a 1 day.\nBoth of them together can do (1\/10 + 1\/12) part of work in 1 day = (6 + 5)\/60 = 11\/60\nThey take 60\/11 days to complete the work together.\nGiven that they already worked for 2 days.\nThe number of days required to complete remaining work => 60\/11 - 2 = 38\/11 = 3 (5\/11) days.\nAnswer:C","dataset":"aqua_rat"}
{"question":"Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?","options":["1500","1300","1200","1000"],"answer":"D","correct_option":"1000","explanation":"(x*5*1)\/100 + [(2500 - x)*6*1]\/100 = 140\nX = 1000\nANSWER D","dataset":"aqua_rat"}
{"question":"The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?","options":["50","60","70","80"],"answer":"C","correct_option":"70","explanation":"1\/2 * d * (12 + 8) = 700\nd = 70\nThe answer is C.","dataset":"aqua_rat"}
{"question":"Substances found where are chemical elements that are essential for body processes?","options":["bottles","countertops","soil","pockets"],"answer":"C","correct_option":"soil","explanation":"substances found in soil are chemical elements that are essential for body processes","dataset":"qasc"}
{"question":"If a is a positive integer, and if the units' digit of a^2 is 4 and the units' digit of (a + 1)^2 is 1, what is the units' digit of (a + 2)^2 ?","options":["0","2","4","6"],"answer":"A","correct_option":"0","explanation":"A for me.\n_1\u00b2 = _1\n_2\u00b2 = _4\n_3\u00b2 = _9\n_4\u00b2 = _6\n_5\u00b2 = _5\n_6\u00b2 = _6\n_7\u00b2 = _9\n_8\u00b2 = _4\n_9\u00b2 = _1\n_0\u00b2 = _0\nOn the list, the only number that squared has the units digit = 4 preceding a number that squared has the units digit = 1 is the _8.\nSo, a = _8, that has square 4. The next square is 1 andnext nextsquare is 0.","dataset":"aqua_rat"}
{"question":"45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours?","options":["10","15","20","25"],"answer":"B","correct_option":"15","explanation":"45 workers * 8 hours \/ 30 meters = x * 6 \/ 30\nx = 60 total workers\n60 - 45 = 15 new workers\nThe answer is B.","dataset":"aqua_rat"}
{"question":"When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?","options":["0","1","2","3"],"answer":"C","correct_option":"2","explanation":"When n is divided by 8, the remainder is 3 may be written as\nn = 8 k + 3\nmultiply all terms by 6\n6 n = 6(8 k + 3) = 8(6k) + 18\nWrite 18 as 16 + 2 since 16 = 8 * 2.\n= 8(6k) + 16 + 2\nFactor 8 out.\n= 8(6k + 2) + 2\nThe above indicates that if 6n is divided by 8, the remainder is 2. The answer is C.","dataset":"aqua_rat"}
{"question":"When you put a cold sandwich in the microwave, it will","options":["stay the same","escalate in temperature","decrease in temperature","Die"],"answer":"B","correct_option":"escalate in temperature","explanation":"","dataset":"science"}
{"question":"S = { 1,2,3,5,6,9}\nT = { 4,5,6,7,1,3}\nwhat is the probability that x chosen from S and y chosen from T will result x*y = even","options":["5\/9","3\/2","1\/2","5\/6"],"answer":"A","correct_option":"5\/9","explanation":"p: the probability that x*y is even, then p=1-p(x*y is odd)\np(x*y odd)=p(x odd)*p(y odd)=4\/6*4\/6=16\/36=4\/9\nAnd p=1-4\/9=5\/9\nOption: A","dataset":"aqua_rat"}
{"question":"In how many ways can eight different rings be worn on four fingers of one hand?","options":["10","12","70","60"],"answer":"C","correct_option":"70","explanation":"Required number of ways = ways of selecting 4 objects out of 8 given objects\n= 8C4 = 8x 7x 6x 5 \/24= 70\nAnswer C","dataset":"aqua_rat"}
{"question":"8+2+2^2+2^3+2^4+2^5=\uff1f","options":["(2^3-1)(2^3+2)","2^6+1","2^5-1","2^5+1"],"answer":"A","correct_option":"(2^3-1)(2^3+2)","explanation":"8+2+2^2+2^3+2^4+2^5=64\n(2^3-1)(2^3+2)=64\nthe correct answer is A.","dataset":"aqua_rat"}
{"question":"The colloquial term \"ribbon worm\" refers to the mostly marine species of what phylum?","options":["nematoida","lophophorata","gnathifera","nemertea"],"answer":"D","correct_option":"nemertea","explanation":"Phylum Nemertea The Nemertea are colloquially known as ribbon worms. Most species of phylum Nemertea are marine, predominantly benthic or bottom dwellers, with an estimated 900 species known. However, nemertini have been recorded in freshwater and terrestrial habitats as well. Most nemerteans are carnivores, feeding on worms, clams, and crustaceans. Some species are scavengers, and some nemertini species, like Malacobdella grossa, have also evolved commensalistic relationships with some mollusks. Some species have devastated commercial fishing of clams and crabs. Nemerteans have almost no predators and two species are sold as fish bait. Morphology Ribbon worms vary in size from 1 cm to several meters. They show bilateral symmetry and remarkable contractile properties. Because of their contractility, they can change their morphological presentation in response to environmental cues. Animals in phylum Nemertea show a flattened morphology, that is, they are flat from front to back, like a flattened tube. Nemertea are soft and unsegmented animals (Figure 28.18).","dataset":"science"}
{"question":"By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ?","options":["33","18","99","27"],"answer":"B","correct_option":"18","explanation":"Explanation:\nLet S.P. of 45 lemons be Rs. x.\nThen, 80 : 40 = 120 : x or x = = 60\nFor Rs.60, lemons sold = 45\nFor Rs.24, lemons sold == 18.\nAnswer: B","dataset":"aqua_rat"}
{"question":"To create paint with a certain shade of gray, one must combine 2.116 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?","options":["165.4","176.4","347.1","694.4"],"answer":"A","correct_option":"165.4","explanation":"Since the ratio of Black to White is 2.016 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.\nNow between A and B:\nBlack:White = 2.116:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. B is more than half so can not be the answer, A fits the criteria hence should be the correct answer. No calculation needed whatsoever.","dataset":"aqua_rat"}
{"question":"A envelop weight 8.2 gm,if 800 of these envelop are sent with an advertisement mail. How much wieght?","options":["6.56kg","6.8kg","6.7kg","6.9kg"],"answer":"A","correct_option":"6.56kg","explanation":"800*8.2\n6560.0gm\n6.56kg\nANSWER:A","dataset":"aqua_rat"}
{"question":"A is a working partner and B is a sleeping partner in the business. A puts in Rs.5000 and B Rs.1000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?","options":["1978","2707","7728","8160"],"answer":"D","correct_option":"8160","explanation":"5000:1000 => 5:1\n9600*10\/100 = 960\n9600 - 960 = 8640\n8640*5\/6 = 7200 + 960\n= 8160\nAnswer: D","dataset":"aqua_rat"}
{"question":"Programmed cell death, which goes by what term, is important for removing damaged or unnecessary cells?","options":["mutations","apoptosis","mytosis","synthesis"],"answer":"B","correct_option":"apoptosis","explanation":"9.3 Response to the Signal The initiation of a signaling pathway is a response to external stimuli. This response can take many different forms, including protein synthesis, a change in the cell\u2019s metabolism, cell growth, or even cell death. Many pathways influence the cell by initiating gene expression, and the methods utilized are quite numerous. Some pathways activate enzymes that interact with DNA transcription factors. Others modify proteins and induce them to change their location in the cell. Depending on the status of the organism, cells can respond by storing energy as glycogen or fat, or making it available in the form of glucose. A signal transduction pathway allows muscle cells to respond to immediate requirements for energy in the form of glucose. Cell growth is almost always stimulated by external signals called growth factors. Uncontrolled cell growth leads to cancer, and mutations in the genes encoding protein components of signaling pathways are often found in tumor cells. Programmed cell death, or apoptosis, is important for removing damaged or unnecessary cells. The use of cellular signaling to organize the dismantling of a cell ensures that harmful molecules from the cytoplasm are not released into the spaces between cells, as they are in uncontrolled death, necrosis. Apoptosis also ensures the efficient recycling of the components of the dead cell. Termination of the cellular signaling cascade is very important so that the response to a signal is appropriate in both timing and intensity. Degradation of signaling molecules and dephosphorylation of phosphorylated intermediates of the pathway by phosphatases are two ways to terminate signals within the cell.","dataset":"science"}
{"question":"The average age of 20 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?","options":["79","86","95","72"],"answer":"B","correct_option":"86","explanation":"Age of the 15th student = 20*15 - (14*5+16*9) =300-214 = 86 years\nAnswer is B","dataset":"aqua_rat"}
{"question":"The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?","options":["Rs. 1550","Rs. 1650","Rs. 1750","Rs. 2000"],"answer":"C","correct_option":"Rs. 1750","explanation":"Explanation:\nC.I. = [4000 * (1 + 10\/100)2 - 4000]\n= (4000 * 11\/10 * 11\/10 - 4000) = Rs. 840.\nSum = (420 * 100)\/(3 * 8) = Rs. 1750\nANSWER IS C","dataset":"aqua_rat"}
{"question":"John purchased 8kg of apples at the rate of 70 per kg and 9 kg of banana at the rate of 55 per kg. How much amount did he pay to the shopkeeper?","options":["950","1000","1055","1060"],"answer":"C","correct_option":"1055","explanation":"Cost of 8 kg apples= 70 \u00d7 8 = 560.\nCost of 9 kg of bananas= 55 \u00d7 9 = 490.\nTotal cost he has to pay = 560 + 490 = 1055.\nC)","dataset":"aqua_rat"}
{"question":"Currently apples cost 60 cents\/pound. Due to a disease affecting the apple trees it is expected that next month apples will cost 200% more than they do currently. How much are apples expected to cost next month?","options":["200 cents \/pound","150 cents \/pound","160 cents \/pound","180 cents \/pound"],"answer":"D","correct_option":"180 cents \/pound","explanation":"If a new cost is p percent greater than the old cost, then (new cost) = (old cost) + (p\/100)(old cost).\nIn this case, (new cost) = 60 cents\/pound + (200\/100)(60 cents\/pound)\n= 60 cents\/pound + 120 cents\/pound\n= 180 cents \/pound\nAnswer : D","dataset":"aqua_rat"}
{"question":"If the price of a certain computer increased 30 percent from y dollars to 351 dollars, then 2y =","options":["540","570","619","649"],"answer":"A","correct_option":"540","explanation":"Before Price increase Price = y\nAfter 30% Price increase Price = y+(30\/100)*y= 1.3y = 351 (Given)\ni.e. y= 351\/1.3 = $270\ni.e. 2y = 2*270 = 540\nAnswer: option A","dataset":"aqua_rat"}
{"question":"The average of 11 results is 45, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?","options":["A)46","B)111","C)66","D)76"],"answer":"B","correct_option":"B)111","explanation":"1 to 11 = 11 * 45 = 495\n1 to 6 = 6 * 49 = 294\n6 to 11 = 6 * 52 = 312\n6th = 294 + 312 \u2013 495= 111\nAnswer:B","dataset":"aqua_rat"}
{"question":"What has a circulatory system with a two-chambered heart?","options":["sharks","insects","salmon","animals"],"answer":"C","correct_option":"salmon","explanation":"Salmon have a circulatory system with a two-chambered heart.","dataset":"qasc"}
{"question":"In a 2000 m race, A beats B by 100 meters or 40 seconds. Find the speed of B?","options":["10m\/s","2.5m\/s","5m\/s","7m\/s"],"answer":"B","correct_option":"2.5m\/s","explanation":"Since A beats B by 100 m or 40 seconds,\nit implies that B covers 100 m in 40 seconds.\nHence speed of B = 100\/40 = 2.5 m\/s.\nAnswer: B","dataset":"aqua_rat"}
{"question":"In an election, candidate A got 60% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.","options":["285600","340000","347000","356000"],"answer":"A","correct_option":"285600","explanation":"Total number of invalid votes = 15 % of 560000\n= 15\/100 \u00d7 560000\n= 8400000\/100\n= 84000\nTotal number of valid votes 560000 \u2013 84000 = 476000\nPercentage of votes polled in favour of candidate A = 60 %\nTherefore, the number of valid votes polled in favour of candidate A = 60 % of 476000\n= 60\/100 \u00d7 476000\n= 28560000\/100\n= 285600\nA)","dataset":"aqua_rat"}
{"question":"There were two candidates in an election. Winner candidate received 70% of votes and won the election by 280 votes. Find the number of votes casted to the winning candidate?","options":["228","744","490","199"],"answer":"C","correct_option":"490","explanation":"W = 70% L = 30%\n70% - 30% = 40%\n40% -------- 280\n70% -------- ? => 280\/40*70 = 490\nAnswer: C","dataset":"aqua_rat"}
{"question":"Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?","options":["19 1\/7 days","16 1\/7 days","14 1\/7 days","17 1\/7 days"],"answer":"D","correct_option":"17 1\/7 days","explanation":"1\/30 + 1\/40 = 7\/120\n120\/7 = 17 1\/7 days\nANSWER:D","dataset":"aqua_rat"}
{"question":"What is a pure substance that cannot be separated into any other substances called?","options":["light","Cells","element","Spears"],"answer":"C","correct_option":"element","explanation":"An element is a pure substance that cannot be separated into any other substances. There are 92 naturally occurring elements.","dataset":"science"}
{"question":"At what point during a chemical reaction is there no net change?","options":["ionization","bonding","equilibrium","formation"],"answer":"C","correct_option":"equilibrium","explanation":"Most chemical reactions reach equilibrium at which point there is no net change.","dataset":"science"}
{"question":"The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:","options":["1520 m2","2420 m2","2480 m2","2520 m2"],"answer":"D","correct_option":"2520 m2","explanation":"Explanation:\nWe have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.\nSolving the two equations, we get: l = 63 and b = 40.\nArea = (l x b) = (63 x 40) m2 = 2520 m2.\nAnswer: D","dataset":"aqua_rat"}
{"question":"On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?","options":["1 : 3","2 : 3","2 : 1","3 : 5"],"answer":"C","correct_option":"2 : 1","explanation":"Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50\/100 of (30-x) x = 10\nRequired ratio = 20 : 10 = 2 : 1\nC","dataset":"aqua_rat"}
{"question":"If 5 men undertook a piece of construction work and finished half the job in 15 days. If two men drop out, then the job will be completed in","options":["5 days","15days","10 days","25days"],"answer":"D","correct_option":"25days","explanation":"That is, half the work done = 5 * 15 * 1\/2\nThen, 5 * 15 *1\/2 = 3 *? *1\/2\ni.e. 5 *15 = 3 *?\n= 5 * 15\/3 = 25 day\nD","dataset":"aqua_rat"}