conversations
list
[ { "value": "Question: If x is an even integer, which of the following is an even integer?\\nOptions:\\n(A) 3x-3\\n(B) x+x^2\\n(C) 5x-3\\n(D) 2x+1\\n(E) 9x-5 Random thoughts:", "from": "human" }, { "value": "Plug in an even integer; in this case 2\\n(3*2)-3 = 6-3 = 3 Odd\\n2+2^2 = 6 Even\\n(5*2)-3 = ...
[ { "value": "Student: Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.\\nOptions:\\n(A) 9988\\n(B) 9999\\n(C) 9799\\n(D) 9685\\n(E) 6545.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "From 0 to 9999 there are 10000 fo...
[ { "value": "Give stream of consciousness and then the final answer. Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\\nOptions:\\n(A) 2234\\n(B) 4350\\n(C) 4560\\n(D) 5132\\n(E) y=5184", "from": "human" }, { "value": "Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184\\n432 12 x 62\nTh...
[ { "value": "Give stream of consciousness and then the final answer. Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?\\nOptions:\\n(A) 223\\n(B) 395\\n(C) 4...
[ { "value": "Q: In how many different ways can the letters of the word \"AIM\" be rearrangement?\\nOptions:\\n(A) 4\\n(B) 2\\n(C) 7\\n(D) 9\\n(E) 6 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Option 'E'\\nThe total number of arrangements is\\n3P3 = 3! = 6\nThere...
[ { "value": "A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\\nOptions:\\n(A) 48 kmph\\n(B) 52 kmph\\n(C) 108 kmph\\n(D) 100 kmph\\n(E) 98 kmph Hmmm, my stream of consciousness:", "from": "human" }, { "value": "S = 180/6 * 18/5 = 108 kmph So, th...
[ { "value": "Give stream of consciousness and then the final answer. For some integer y, y^2 - 5 is divisible by all of the following EXCEPT\\nOptions:\\n(A) 29\\n(B) 30\\n(C) 31\\n(D) 38\\n(E) 41", "from": "human" }, { "value": "Hint: y^2-5 (y is an integer) is never multiple of 3 (try to prove this...
[ { "value": "What will come in place of the x in the following Number series? 46080, 3840, 384, x\\nOptions:\\n(A) 48\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 6 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "46080 /12 = 3840\\n3840 /10 = 384\\n384 /8 = 48 So the answer...
[ { "value": "Some question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?\\nOpt...
[ { "value": "A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 85. How many points altogether did the team score?\\nOptions:\\n(A) 662\\n(B) 672\\n(C) 652\\n(D) 642\\n(E) 670 Now, let's think a bit...
[ { "value": "Question: What percent is 120 of 90?\\nOptions:\\n(A) 133 1/3 %\\n(B) 134 1/3 %\\n(C) 135 1/3 %\\n(D) 140 1/3 %\\n(E) 143 1/3 % Random thoughts:", "from": "human" }, { "value": "120/90 = 4/3\\n4/3 × 100 = 400/3 = 133 1/3 % The final answer: (A).", "from": "gpt" } ]
[ { "value": "Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 7 Let's think first. Stream of consciousness:", "from": "human" }, { "value":...
[ { "value": "Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\\nOptions:\\n(A) 277\\n(B) 270\\n(C) 288\\n(D) 266\\n(E) 121 Stream of consciousness:", "from": "human" }, { "value": "I = (500*9*6)/100 = 270\nThus, the answer is (B).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. The smallest prime number is:\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5", "from": "human" }, { "value": "The smallest prime number is 2.\nThe answer: (B).", "from": "gpt" } ]
[ { "value": "How much 80% of 40 is greater than 10% of 15?\\nOptions:\\n(A) 18\\n(B) 99\\n(C) 19\\n(D) 18\\n(E) 17 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "(80/100) * 40 – (10/100) * 15\\n32 - 15 = 17\nThus, the answer is (E).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. The average of seven numbers is 26. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\\nOptions:\\n(A) 25\\n(B) 83\\n(C) 29\\n(D) 32\\n(E) 34", "from": "hu...
[ { "value": "The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 40, 68 kmph\\n(B) 70, 50 kmph\\n(C) 90, 60 kmph\\n(D) 40, 60 kmph\\n(E) 20, 60 kmph Now, let's think a bit. Some random thoughts:", "from": "human" }, ...
[ { "value": "150 is increased by 40%. Find the final number.\\nOptions:\\n(A) 200\\n(B) 210\\n(C) 180\\n(D) 190\\n(E) 220 Stream of consciousness:", "from": "human" }, { "value": "Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60 = 210.\nThus, the answer is (B).", "...
[ { "value": "Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?\\nOptions:\\n(A) 31500\\n(B) 27773\\n(C) 29989\\n(D) 28800\\n(E) 29883 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Simple interest = (18000 * 5 * 15)/10...
[ { "value": "Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?\\nOptions:\\n(A) 22 yrs\\n(B) 34 yrs\\n(C) 27 yrs\\n(D) 28 yrs\\n(E) 19 yrs Let's think first. Some random rea...
[ { "value": "At what rate percent on simple interest will a sum of money double itself in 30 years?\\nOptions:\\n(A) 3 1/9%\\n(B) 3 7/3%\\n(C) 7 1/3%\\n(D) 5 1/3%\\n(E) 1 1/3% Let's think first. Stream of consciousness:", "from": "human" }, { "value": "P = (P*30*R)/100\\nR = 3 1/3%\nSo, the answer is...
[ { "value": "A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.\\nOptions:\\n(A) 150\\n(B) 180\\n(C) 250\\n(D) 200\\n(E) 225 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Speed = 90*(5/18) m/sec = 25 m/sec\\nLength of Tr...
[ { "value": "Question: An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?\\nOptions:\\n(A) 21548\\n(B) 315...
[ { "value": "Give a quick stream of consciousness before answering the following 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?\\nOptions:\\n(A) Rs.8082\\n(B) Rs.7800\\n(C) Rs.8100\\n(D) Rs.8112\\n(E) none of these", "from": "human" }, {...
[ { "value": "Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 6 6/29 sec\\n(B) 7 1/7 sec\\n(C) 7 2/2 sec\\n(D) 8 1/2 sec\\n(E) 7 1/19 sec Now, let's think a bit. Some ran...
[ { "value": "Student: What is the sum of all the prime numbers greater than 30 but less than 50?\\nOptions:\\n(A) 126\\n(B) 199\\n(C) 198\\n(D) 188\\n(E) 122.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Required sum = (31 + 37 + 41 + 43 + 47) = 199\\nNote: 1 is not a prime...
[ { "value": "Some question: At a meeting of the 9 Joint 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 9 Chiefs of Staff be seated around a circular table?\\nOptions:\\n(A) 120\\n(B) 480\\n(C) 960\\n(D) 2520\\n(E) 6050\nSo...
[ { "value": "X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 9 Let's think first. Stream of consciousness:", "from": "human" }, { ...
[ { "value": "Give a quick stream of consciousness before answering the following question. Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 25 miles behind the ...
[ { "value": "Q: A shipment of 8 TV sets contains 6 black and white sets and 2 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\\nOptions:\\n(A) 1/7\\n(B) 1/4\\n(C) 5/14\\n(D) 11/28\\n(E) 27/28 Let's...
[ { "value": "A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?\\nOptions:\\n(A) 2.6\\n(B) 2.2\\n(C) 2.5\\n(D) 2\\n(E) 3 Stream of consciousnes...
[ { "value": "From among the 39 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\\nOptions:\\n(A) 1360\\n(B) 1260\\n(C) 1060\\n(D) 1482\\n(E) 1460 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "There ar...
[ { "value": "In how many different ways can the letters of the word ‘CASES’ be arranged?\\nOptions:\\n(A) 250\\n(B) 280\\n(C) 60\\n(D) 310\\n(E) 360 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Number of ways = 5!/2! = 5X4X3X2X1/2X1 = 60\nSo, the answer is (C).", ...
[ { "value": "The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?\\nOptions:\\n(A) A) 200\\n(B) B) 2000\\n(C) C) 800\\n(D) D) 2100\\n(E) E) 1100 Hmmm, my stream of consciousness:", "from": "human" }, { "valu...
[ { "value": "Student: The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\\nOptions:\\n(A) 124 m2\\n(B) 126 m2\\n(C) 136 m2\\n(D) 158 m2\\n(E) None of these.\nAnother student: Let's say, hmmm...\n", "from"...
[ { "value": "Give a quick stream of consciousness before answering the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?\\nOptions:\\n(A) 220010\\n(B) 145778\\n(C) 220110\\n(D) 235467\\n(E) 220001", "from": "human" ...
[ { "value": "If n is an integer, then the least possible value of |8 - 9n| is?\\nOptions:\\n(A) 0\\n(B) 1\\n(C) 2\\n(D) 3\\n(E) 11 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "|8 - 9n| represents the distance between 8 and 9n on the number line. Now, the d...
[ { "value": "The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the secon...
[ { "value": "In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\\nLook at this series: 95, 10, 75, 20, 55, ... What number should come next?\\nOptions:\\n(A) 35\\n(B) 40\\n(C) 30\\n(D) 25\\n(E) 90 Think first, the...
[ { "value": "How much 60% of 50 is greater than 40% of 30?\\nOptions:\\n(A) 18\\n(B) 28\\n(C) 29\\n(D) 11\\n(E) 12 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "(60/100) * 50 – (40/100) * 30\\n30 - 12 = 18 So the answer is (A).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\\nOptions:\\n(A) 7/98\\n(B) 1/48\\n(C) 1/98\\n(D) 1/96\\n(E) 1/68", "from": "human" }, { "value": "2/7 * 6/7 * 1/3 * 1/8 = 1/98\nThe final answer: (C).", "from": "gpt" }...
[ { "value": "A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?\\nOptions:\\n(A) 4500 M3\\n(B) 27000 M3\\n(C) 3000 M3\\n(D) 2700 M3\\n(E) 3700 M3 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "(3000 * 2 * 5)/60 ...
[ { "value": "Q: How many terminating zeroes Q does 200! have?\\nOptions:\\n(A) 40\\n(B) 48\\n(C) 49\\n(D) 55\\n(E) 64 Let's give some random thoughts before answering.", "from": "human" }, { "value": "You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.\nTherefore, the answ...
[ { "value": "A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?\\nOptions:\\n(A) 3002\\n(B) 3000\\n(C) 3018\\n(D) 3019\\n(E) 4000 Let's think first. Stream of consciousness:",...
[ { "value": "In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/7%\\n(B) 33 1/3%\\n(C) 33 1/2%\\n(D) 33 7/3%\\n(E) 33 5/3% OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "P = (P*3*R)/100\\nR = 33 1/3% The answer: (B).", "...
[ { "value": "Give stream of consciousness and then the final answer. How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?\\nOptions:\\n(A) 3 year\\n(B) 4 year\\n(C) 6 year\\n(D) 5 year\\n(E) 7 year", "from": "human" }, { "value": "Time = (100 x ...
[ { "value": "Some question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?\\nOptions:\\n(A) 1\\n(B) 4\\n(C) 9\\n(D) 13\\n(E) 16\nSome stream of consciousness:",...
[ { "value": "Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?\\nOptions:\\n(A) 1\\n(B) 3/2\\n(C) 2\\n(D) 3\\n(E) 6 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Volume of pris...
[ { "value": "Give a quick stream of consciousness before answering the following question. The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?\\nOptions:\\...
[ { "value": "There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\\nOptions:\\n(A) 90\\n(B) 120\\n(C) 315\\n(D) 180\\n(E) 200 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Number of ways of s...
[ { "value": "Give a quick stream of consciousness before answering the following question. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?\\nOptions:\\n(A) 17\\n(B) 16\\n(C) 17\\n(D) 19\\n(E) 62", "from": "human" }, { "value": "Average of 20 numbers = 0\\nS...
[ { "value": "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?\\nOptions:\\n(A) 4 min\\n(B) 6 min\\n(C) 8 min\\n(D) 2 min\\n(E) 9 min Think first, then make a decision. Some random thoughts:", "from": "human" }, { ...
[ { "value": "Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\\nOptions:\\n(A) 5/18\\n(B) 5/12\\n(C) 5/19\\n(D) 5/15\\n(E) 5/11 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Using question number ...
[ { "value": "Find the odd man out\\n253, 136, 352, 329, 631, 244\\nOptions:\\n(A) 329\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "The sum all three digits comes to 10 except 329 So the answer is (A).", "from": "...
[ { "value": "A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?\\nOptions:\\n(A) 12 days\\n(B) 15 days\\n(C) 18 days\\n(D) 20 days\\n(E) 22 days Hmmm, my stream of consciousness:", "from": "human" }, { ...
[ { "value": "If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?\\nOptions:\\n(A) -f(x) \\n(B) f(x) \\n(C) 2*f(x) \\n(D) 1/f(x) \\n(E) 2/f(x) Stream of consciousness:", "from": "human" }, { "value": "If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)\nThus, the answer is (A)....
[ { "value": "Some question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) kmph\\n(B) kmph\\n(C) kmph\\n(D) kmph\\n(E) kmph\nSome stream of consciousness:", "from": "human" }, { "value": "Speed downstream =...
[ { "value": "Q: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 14\\n(E) 16 Let's give some random thoughts before...
[ { "value": "A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?\\nOptions:\\n(A) 720\\n(B) 760\\n(C) 680\\n(D) 780\\n(E) 880 OK. Let's think. Some random thou...
[ { "value": "In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?\\nOptions:\\n(A) 1/4\\n(B) 1/2\\n(C) 3/5\\n(D) 9/10\\n(E) 16/20 Let's think first. Stream of consciousness:", "from": "human" }, { ...
[ { "value": "How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 0 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "A number ending with ...
[ { "value": "Some question: Which one of the following is not a prime number?\\nOptions:\\n(A) 31\\n(B) 61\\n(C) 71\\n(D) 73\\n(E) 91\nSome stream of consciousness:", "from": "human" }, { "value": "91 is divisible by 7. So, it is not a prime number. The answer: (D).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\\nOptions:\\n(A) 4!*2!\\n(B) 7!*2!\\...
[ { "value": "What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 657.48 = 743.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 780\\n(D) 770\\n(E) 890 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "? = 285 + 189...
[ { "value": "Give stream of consciousness and then the final answer. Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 42/5 sec\\n(B) 45/8 sec\\n(C) 40/6 sec\\n(D) 37/6 se...
[ { "value": "The H.C.F. of two numbers is 12 and their L.C.M. is 520. If one of the numbers is 480, then the other is:\\nOptions:\\n(A) 13\\n(B) 18\\n(C) 21\\n(D) 24\\n(E) 38 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Other number = (12 x 520)/480 = 13.\nThu...
[ { "value": "Use some thinking to answer the following question. The edge of a cube is 2a cm. Find its surface?\\nOptions:\\n(A) 24a8\\n(B) 24a4\\n(C) 24a1\\n(D) 24a2\\n(E) 24a7", "from": "human" }, { "value": "6a2 = 6 * 2a * 2a = 24a2 So the final answer is (D).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. Find the simple interest on Rs.580 for 11 months at 9 paisa per month?\\nOptions:\\n(A) 574\\n(B) 270\\n(C) 566\\n(D) 266\\n(E) 121", "from": "human" }, { "value": "I = (580*11*9)/100 = 574\nThe final answer: (A).", "from": "gpt...
[ { "value": "Find a a prime number from the options below.\\nOptions:\\n(A) 37\\n(B) 38\\n(C) 39\\n(D) 40\\n(E) 42 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Clearly, 37 is a prime number. So, the answer is (A).", "from": "gpt" } ]
[ { "value": "The average length of the sides of triangle ABC is 12. What is the perimeter of triangle ABC?\\nOptions:\\n(A) 4\\n(B) 6\\n(C) 12\\n(D) 24\\n(E) 36 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "(average) = (perimeter)/3;\\n12 = (perimeter)/3;\\...
[ { "value": "Give a quick stream of consciousness before answering the following question. A train 500 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 28\\n(C) 49\\n(D) 64\\n(E) 21", "from": "human" }, { "value": "S =...
[ { "value": "There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?\\nOptions:\\n(A) 380\\n(B) 200\\n(C) 110\\n(D) 180\\n(E) 200 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Maximum points of intersection between n di...
[ { "value": "Use some thinking to answer the following question. A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from t...
[ { "value": "Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Answer: A. There is exactly one. The prime factorization of 14 i...
[ { "value": "Student: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the ba...
[ { "value": "Use some thinking to answer the following question. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and th...
[ { "value": "Q: In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 36 1/3%\\n(B) 33 1/3%\\n(C) 33 1/6%\\n(D) 63 1/3%\\n(E) 23 1/3% Let's give some random thoughts before answering.", "from": "human" }, { "value": "P = (P*3*R)/100\\nR = 33 1/3%\nTherefore, the ...
[ { "value": "Use some thinking to answer the following question. If x is a positive odd integer and y is a negative even integer, which of the following must be true?\\nOptions:\\n(A) x^3 + y is a positive odd integer\\n(B) x^2 + y^2 is a negative odd integer\\n(C) x^0 + y^11 is a negative odd integer\\n(D) x + ...
[ { "value": "Some question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?\\nOptions:\\n(A) 1/3\\n(B) 1/6\\n(C) 1/4\\n(D) 1/8\\n(E) 1/5\nSome stream of consciousness:", "from"...
[ { "value": "Use some thinking to answer the following question. If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?\\nOptions:\\n(A) 25d + 100e\\n(B) 100d + 25e\\n(C) 125de\\n(D) d + 25e\\n(E) 125/(de) ", "from": "hu...
[ { "value": "Some question: Calculate the largest 4 digit number which is exactly divisible by 98?\\nOptions:\\n(A) 9800\\n(B) 9898\\n(C) 9702\\n(D) 9604\\n(E) 9996\nSome stream of consciousness:", "from": "human" }, { "value": "Largest 4 digit number is 9999\\nAfter doing 9999 ÷ 98 we get remainder ...
[ { "value": "A 600 meter long train crosses a signal post in 20 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\\nOptions:\\n(A) 4 min\\n(B) 2 min\\n(C) 8 min\\n(D) 9 min\\n(E) 5 min Stream of consciousness first, then make a decision:", "from": "human" }, { "val...
[ { "value": "John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?\\nOptions:\\n(A) 235 miles.\\n(B) 245 miles.\\n(C) 240 miles.\\n(D) 265 miles.\\n(E) 275 miles. Stream of con...
[ { "value": "Some question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?\\nOptions:\\n(A) Rs.49.17\\n(B) Rs.58\\n(C) Rs.54.17\\n(D) Rs.55.33\\n(E) None of the above\nSome stream of consciousness:", "from": "h...
[ { "value": "Some question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at ...
[ { "value": "How many ways someone can make with 8 shirts and 6 pants?\\nOptions:\\n(A) 50\\n(B) 45\\n(C) 55\\n(D) 52\\n(E) 48 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "If you can only wear one shirt and one pair of pants, then you can make 8*6 = 48 combinations.\...
[ { "value": "CMM, EOO, GQQ, _____, KUU\\nOptions:\\n(A) MSQ\\n(B) IPS\\n(C) IIS\\n(D) ISS\\n(E) POL Stream of consciousness:", "from": "human" }, { "value": "The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repe...
[ { "value": "A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\\nOptions:\\n(A) 22 1/8 days\\n(B) 22 1/2 days\\n(C) 22 6/2 days\\n(D) 72 1/2 days\\n(E) 23 1/2 days Stream of consciousness:", "from": "human" }, { "value...
[ { "value": "A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\\nOptions:\\n(A) 85 m\\n(B) 70 m\\n(C) 115 m\\n(D) 50 m\\n(E) 150 m Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Speed = 60 * 5/18 = 50/3 m/sec\...
[ { "value": "In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?\\nOptions:\\n(A) 2/5\\n(B) 16/20\\n(C) 9/10\\n(D) 3/5\\n(E) 1/3 Stream of consciousness:", "from": "human" }, { "value": "P(at l...
[ { "value": "A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\\nOptions:\\n(A) 56\\n(B) 78\\n(C) 27\\n(D) 79\\n(E) 50 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = ...
[ { "value": "Use some thinking to answer the following question. An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 s...
[ { "value": "Student: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:\\nOptions:\\n(A) Rs. 3100\\n(B) Rs. 6240\\n(C) Rs. 6500\\n(D) Rs. 9600\\n(E) Rs. 8600.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "To get Rs. 10, Investm...
[ { "value": "The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 22 kmph\\n(B) 40 kmph\\n(C) 60 kmph\\n(D) 15 kmph\\n(E) 23 kmph Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Speed downstrea...
[ { "value": "Question: An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?\\nOptions:\\n(A) 70\\n(B) 40\\n(C) 80\\n(D) 90\\n(E) 100 Random thoughts:", "from": "human" }, { "value": "He has has ten patterns of chairs and eight pattern...
[ { "value": "Give stream of consciousness and then the final answer. The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed thr...
[ { "value": "Q: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?\\nOptions:\\n(A) A) 400\\n(B) B) 450\\n(C) C) 500\\n(...
[ { "value": "Q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?\\nOptions:\\n(...
[ { "value": "Question: Find the area of a parallelogram with base 24 cm and height 16 cm.\\nOptions:\\n(A) 384 cm^2\\n(B) 200 cm^2\\n(C) 250 cm^2\\n(D) 350 cm^2\\n(E) 400 cm^2 Random thoughts:", "from": "human" }, { "value": "Area of a parallelogram = base * height = 24 * 16 = 384 cm2 The final answe...
[ { "value": "If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 288\\n(B) 162\\n(C) 220\\n(D) 270\\n(E) 122 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "20 m/s = 20 * 18/5 kmph\\n3 hours 45 minutes = 3 ...