Problem stringlengths 5 967 | category class label 6
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if a : b = 4 : 1 , then find ( a - 3 b ) / ( 2 a - b ) ? | 0general |
log 3 n + log 12 n what is 3 digit number n that will be whole number | 5other |
the average weight of a , b , c is 45 kg . the avgwgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b . | 0general |
the price of a shirt is increased by 15 % and then reduced by 15 % . the final price of the shirt is ? | 2gain |
if two integers x , y ( x > y ) are selected from - 3 to 4 ( inclusive ) , how many cases are there ? | 0general |
in 100 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by : | 1physics |
the citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8 . a certain street in nigiet contains 1000 ( in base 5 ) buildings numbered 1 to 1000 . how many 3 s are used in numbering these buildings ? express result in terms of base 10 . | 1physics |
of the people who responded to a market survey , 150 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 5 to 1 , how many people responded to the survey ? | 5other |
the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 9 and 10 . the larger of the two numbers is : | 5other |
a semicircle has a radius of 11 . what is the approximate perimeter of the semicircle ? | 3geometry |
a milk man has 15 liters of milk . if he mixes 5 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is : | 2gain |
in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 37 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ? | 1physics |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 64 hours and 25 hours respectively . the ratio of their speeds is ? | 1physics |
the total circumference of two circles is 80 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ? | 0general |
20 is added to a certain number , the sum is multiplied by 2 , the product is divided by 2 and 2 is subtracted from the quotient . the remainder left is half of 88 . what is the number ? | 0general |
on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction e of the total distance did he cover while the sun was shining on him ? | 0general |
a shopkeeper sold an article at $ 100 with 40 % profit . then find its cost price ? | 2gain |
a plant manager must assign 12 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ? | 1physics |
instead of multiplying a number by 5 , the number is divided by 10 . what is the percentage of error obtained ? | 0general |
a car going at 30 miles per hour set out on an 80 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ? | 1physics |
a train moves at average speed of 60 kmph reaches its destination on time . what its average speed becomes 50 kmph , then it reaches its destination 15 late . find the length of the journey ? | 1physics |
if 325 / 999 = 0.125 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ? | 0general |
how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 35 percent alcohol ? | 0general |
pipe p can fill a tank in 2 hours , pipe q in 4 hours and pipe r in 12 hours . if all the pipes are open , in how many hours will the tank be filled ? | 1physics |
300 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees | 1physics |
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 40 min , then the slower pipe alone will be able to fill the tank in ? | 1physics |
find the ratio in which rice at rs . 10.0 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? | 5other |
in a 100 m race , sam beats john by 6 seconds . on the contrary , if sam allowed john to start 36 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ? | 1physics |
a bag contains 3 red , 5 yellow and 4 green balls . 3 balls are drawn randomly . what is the probability that balls drawn contain exactly two green balls ? | 4probability |
debanshu normally drives to work in 45 minutes at an average speed of 40 miles per hour . this week , however , she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 % . if debanshu averages between 12 and 16 miles per hour when biking , how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives ? | 1physics |
if d is the standard deviation a , b , and c , what is the standard deviation of a + 2 , b + 2 , c + 2 ? | 0general |
at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 75 billion of credit , or 1 / 2 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? | 0general |
three table runners have a combined area of 204 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? | 3geometry |
nr books bought nr of people 6 3 7 1 8 5 9 2 what is the median of books bought per person ? | 0general |
a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 55 meters , what is the height of the building ( in meters ) ? | 1physics |
for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 34 ) ? | 0general |
nitin ' s age was equal to square of some number last year and the following year it would be cube of a number . if again nitin ' s age has to be equal to the cube of some number , then for how long he will have to wait ? | 3geometry |
a family pays $ 900 per year for an insurance plan that pays 60 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ? | 0general |
a certain basketball team that has played 2 / 3 of its games has a record of 13 wins and 7 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ? | 0general |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 4 hours and 49 hours respectively . the ratio of their speeds is : | 1physics |
find 62976 ÷ ? = 123 | 0general |
x alone can do a piece of work in 15 days and y alone can do it in 10 days . x and y undertook to do it for rs . 720 . with the help of z they finished it in 5 days . how much is paid to z ? | 1physics |
4 , 25,49 , | 0general |
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 950 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? | 5other |
a , b , c can complete a piece of work in 24 , 6,12 days . working together , they complete the same work in how many days ? | 1physics |
company c sells a line of 25 products with an average retail price of $ 1,000 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ? | 0general |
a caterer ordered 200 ice - cream bars and 200 sundaes . if the total price was $ 200.00 and the price of each ice - cream bar was $ 0.40 , what was the price of each sundae ? | 0general |
what is the least value of k . so that 123 k 578 is divisible by 11 . | 0general |
local kennel has cats and dogs in the ratio of 3 : 4 . if there are 8 fewer cats than dogs , how many dogs are in the kennel ? | 5other |
the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 142 . what is the number of frogs in the pond ? | 0general |
john had a stock of 1400 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ? | 2gain |
two numbers a and b are such that the sum of 8 % 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 . | 0general |
the compound ratio of 5 : 6 , 3 : 4 and 4 : 5 ? | 5other |
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.1 years , the ratio of the number of boys to the number of girls in the class is | 0general |
a man purchased 4 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? | 0general |
of 70 players on a football team , 31 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? | 0general |
each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 53 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? | 0general |
triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 9 , what is the measure of side xy ? | 3geometry |
yesterday ' s closing prices of 1980 different stocks listed on a certain stock exchange were all different from today ' s closing prices . the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price . how many of the stocks closed at a higher price today than yesterday ? | 2gain |
a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in metres ) is ? | 1physics |
a 75 m long train is running at 54 km / hr . in how much time will it cross an electric pole ? | 0general |
a reduction of 24 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ? | 2gain |
what is the least number that should be added to 1077 , so the sum of the number is divisible by 23 ? | 0general |
how many pieces of 0.63 meteres can be cut from a rod 32.5 meteres long | 1physics |
how many terminating zeroes q does 200 ! have ? | 5other |
gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 17 times as heavy as water ? | 0general |
a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 2 less , he would have made a profit of 10 % . the c . p . of the article was | 2gain |
a city with a population of 218,000 is to be divided into 10 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? | 0general |
two trains of equal are running on parallel lines in the same direction at 47 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? | 0general |
a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 30 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? | 0general |
if x and y are positive integers and x = 5 y + 7 , what is the remainder when x is divided by 5 ? | 0general |
on a certain road 14 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ? | 2gain |
the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 45 kg . what is the weight of the new person ? | 0general |
how many digits 2 ^ 300 has ? | 0general |
after distributing the sweets equally among 25 children , 8 sweets remain . had the number of children been 28 , 22 sweets would have been left after equal distribution . what was the total number of sweets ? | 0general |
a batsman scored 150 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? | 0general |
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 . 120 . how much was lent at 5 % ? | 2gain |
when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.000168 ? | 0general |
the average age of a class of 23 students is 22 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ? | 0general |
x is a positive integer less than 600 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? | 0general |
if the radius of a circle is increased by 30 % then the area is increased by : | 3geometry |
the length of a rectangle hall is 5 m more than its breadth . the area of the hall is 750 m 2 . the length of the hall is : | 3geometry |
what is the perimeter of a square with area p ^ 2 / 16 ? | 3geometry |
65 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? | 3geometry |
how long does a train 100 m long traveling at 60 kmph takes to cross another train of 170 m in length has a speed of 40 kmph ? | 1physics |
a student committee on academic integrity has 90 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? | 5other |
in the coordinate plane , line a has a slope of - 1 and an x - intercept of 2 . line b has a slope of 5 and a y - intercept of - 10 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ? | 0general |
if 9 is added to thrice a number and this sum is multiplied by 6 , the result is the same as if the number is multiplied by 7 and 10 is added to the product . what is the number ? | 0general |
a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 20 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ? | 2gain |
by how much does the larger root of the equation 2 q ^ 2 + 5 q = 12 exceed the smaller root ? | 0general |
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 30,000 and at the same time n is a perfect square and a perfect cube ? | 3geometry |
for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 27 , the mean is how much greater than the median ? | 0general |
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation g of the mean , what percent of the distribution is less than m + g ? | 0general |
pradeep has to obtain 35 % of the total marks to pass . he got 185 marks and failed by 25 marks . the maximum marks are | 0general |
in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 22 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ? | 2gain |
a tailor trims 6 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 120 square feet of cloth remain , what was the length of a side of the original piece of cloth ? | 3geometry |
find the area of a parallelogram with base 14 cm and height 24 cm . | 3geometry |
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 35 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ? | 0general |
how is 5 % expressed as a decimal fraction ? | 2gain |
34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 6 feet , and the diagonal of the rectangular plate was 10 ft . what is height of the of the cylinder ? | 3geometry |
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