conversations
list |
|---|
[
{
"value": "Q: A shipment of 8 TV sets contains 4 black and white sets and 4 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) 11/14\\n(C) 5/14\\n(D) 11/28\\n(E) 13/28 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "4/8 * 3/7 = 12/56\\n1-(12/56) = 44/56 = 11/14\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =\\nOptions:\\n(A) 1155\\n(B) 2310\\n(C) 4620\\n(D) 30030\\n(E) 60060 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?\\nOptions:\\n(A) 200\\n(B) 1680\\n(C) 240\\n(D) 250\\n(E) 260 Stream of consciousness:",
"from": "human"
},
{
"value": "8p4 = 8 X 7 Γβ 6 Γβ 5 = 1680\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is\\nOptions:\\n(A) 22\\n(B) 7\\n(C) 8\\n(D) 6\\n(E) 51 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?\\nOptions:\\n(A) 30\\n(B) 18\\n(C) 28\\n(D) 25\\n(E) 32 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(Mathematics + Algebra) - (Algebra + Geometry) = 28\\nMathematics - Geometry = 28 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: A can do a piece of work in 12 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?\\nOptions:\\n(A) 18\\n(B) 99\\n(C) 77\\n(D) 62\\n(E) 12 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "8/12 + 6/x = 1\\nX = 18 days\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A boy runs 200 metres in 48 seconds. What is his speed ?\\nOptions:\\n(A) 10 km/hr\\n(B) 15 km/hr\\n(C) 11 km/hr\\n(D) 12 km/hr\\n(E) 14 km/hr Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "200/48 * 18/5 = 15 km/hr So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average of first 12 even numbers is?\\nOptions:\\n(A) 19\\n(B) 18\\n(C) 16\\n(D) 13\\n(E) 17 Random thoughts:",
"from": "human"
},
{
"value": "Sum of 12 even numbers = 12 * 13 = 156\\nAverage = 156/12 = 13 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?\\nOptions:\\n(A) 1:1\\n(B) 1:2\\n(C) 1:9\\n(D) 1:6\\n(E) 1:4 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "A square and a rhombus on the same base are equal in are So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A train 160 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\\nOptions:\\n(A) 40 sec\\n(B) 50 sec\\n(C) 44 sec\\n(D) 24 sec\\n(E) 60 sec OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 160 + 140 = 300 m\\nRequired time = 300 * 2/25 = 24 sec The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Express 60 mps in kmph?\\nOptions:\\n(A) 200\\n(B) 182\\n(C) 216\\n(D) 127\\n(E) 400",
"from": "human"
},
{
"value": "60 * 18/5 = 216 kmph So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?\\nOptions:\\n(A) 45%\\n(B) 49%\\n(C) 52%\\n(D) 59%\\n(E) 61% Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Total number of votes polled = (3136 + 7636 + 11628) = 22400\\nSo, Required percentage = 11628/22400 * 100 = 52% The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Find a a prime number from the options below.\\nOptions:\\n(A) 86\\n(B) 87\\n(C) 88\\n(D) 89\\n(E) 90",
"from": "human"
},
{
"value": "Clearly, 89 is a prime number. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "If n is an integer, then the least possible value of |48 - 7n| is?\\nOptions:\\n(A) 1\\n(B) 0\\n(C) 5\\n(D) 4\\n(E) 2 Stream of consciousness:",
"from": "human"
},
{
"value": "|48 - 7n| represents the distance between 48 and 7n on the number line. Now, the distance will be minimized when 7n, which is multiple of 7, is closest to 48. Multiple of 7 which is closest to 48 is 49 (for n = 7), so the least distance is 1: |48 - 49| = 1.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?\\nOptions:\\n(A) 6 days\\n(B) 2 days\\n(C) 8 days\\n(D) 4 days\\n(E) 3 days\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Work done by A in 5 days = 5/10 = 1/2\\nRemaining work = 1/2\\nWork done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6\\nRemaining work = 1/2 * 6/1 = 3 days. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: The average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?\\nOptions:\\n(A) 195\\n(B) 175\\n(C) 184\\n(D) 201\\n(E) 188.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "The total of 21 numbers = 21X25 = 525\\nThe total of first 10 and last 10 numbers is = 10 X 14+10 X 19 = 330\\nSo, the middle number is (525 - 330 ) = 195 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 30, and 40 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\\nOptions:\\n(A) 4/11\\n(B) 1/2\\n(C) 15/22\\n(D) 120/7\\n(E) 11/4 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "P1 takes 12 hrs\\nRate for P2P3 together = 1/30 + 1/40 = 7/120\\nTherefore they take 120/7\\nRatio = 120/7 = So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: What is the probability that Company Q's advertisement will be one of the first two be shown during the first commercial break?\\nOptions:\\n(A) 1/ 225\\n(B) 1 / 30\\n(C) 1 /15\\n(D) 2 / 15\\n(E) 4 /15 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Q 1/15 + (14/15) * 1/14 = 2/15 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once?\\nOptions:\\n(A) 21\\n(B) 42\\n(C) 120\\n(D) 600\\n(E) 200",
"from": "human"
},
{
"value": "Vowel: E O\\nConsonants: V R M N T\\nFirst letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)\\nFourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)\\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter\\nSecond letter can be filled in 5 Ways\\nThird letter can be filled in 4 Ways\\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 5 ways = 200 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x\\nOptions:\\n(A) 66\\n(B) 68\\n(C) 70\\n(D) 72\\n(E) 74 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "8\\n8 x 2 - 6 = 10\\n10 x 2 - 6 = 14\\n14 x 2 - 6 = 22\\n22 x 2 - 6 = 38\\n38 x 2 - 6 = 70\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "In what time will a cart 50 m long cross, if its speed be 36 km/hr?\\nOptions:\\n(A) 25\\n(B) 5\\n(C) 15\\n(D) 20\\n(E) 30 Stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 36 * 5/18 = 10 m/sec\\nTime taken = 50/10 = 5 sec.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "There are 9 person among whom 2 are 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!\\n(C) 6!*2!\\n(D) 2!*1!\\n(E) 5!*1! Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Total number of ways = 6!*2!.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?\\nOptions:\\n(A) 19\\n(B) 15\\n(C) 16\\n(D) 17\\n(E) 18 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do the job. Then, 8:5::12:x = > 8x = 5*12 = > x = 15 days.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the largest 7 digit number which is exactly divisible by 88?\\nOptions:\\n(A) 9998765\\n(B) 9998907\\n(C) 9999944\\n(D) 9999954\\n(E) 9999968",
"from": "human"
},
{
"value": "Largest 7 digit number is 9999999\\nAfter doing 9999999 Γ· 88 we get remainder 31\\nHence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "How much is 55% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 29\\n(B) 776\\n(C) 2\\n(D) 12\\n(E) 99 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "(55/100) * 40 β (4/5) * 25\\n22 - 20 = 2\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: One copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?\\nOptions:\\n(A) 10 minutes\\n(B) 20 minutes\\n(C) 25 minutes\\n(D) 30 minutes\\n(E) 35 minutes Random thoughts:",
"from": "human"
},
{
"value": "Total work done by both machines in a minute = 20 + 10 = 30 copies\\nTotal number of copies required = 900\\nTime = 900/30 = 30 mins The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A 160 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?\\nOptions:\\n(A) 96 kmph\\n(B) 64 kmph\\n(C) 52 kmph\\n(D) 86 kmph\\n(E) 76 kmph Stream of consciousness:",
"from": "human"
},
{
"value": "S = 160/9 * 18/5 = 64 kmph\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.\\nOptions:\\n(A) Rs.2205\\n(B) Rs.2200\\n(C) Rs.2160\\n(D) Rs.2040\\n(E) Rs.2050\nSome stream of consciousness:",
"from": "human"
},
{
"value": "A = 2000(21/20)2 = 2205 The answer: (A).",
"from": "gpt"
}
] |
[
{
"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.7410. Find the share of C?\\nOptions:\\n(A) 2250\\n(B) 3000\\n(C) 3018\\n(D) 3019\\n(E) 3012 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n75/247 * 7410 = 2250\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\\nOptions:\\n(A) 3\\n(B) 8\\n(C) 5\\n(D) 6\\n(E) 4 Stream of consciousness:",
"from": "human"
},
{
"value": "If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields such a number.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Four of the five parts numbered (a),(b),(c),(d) and (e) in the following sequence are exactly equal. Which part is not equal to the other four? The number of that part is the answer\\nOptions:\\n(A) 120 Γ 12 β 22 Γ 20\\n(B) 10% of 5000 + 2β5 of 1200\\n(C) 80 Γ 40 β 20 Γ 110\\n(D) 8640 Γ· 60 + 53.5 Γ 16\\n(E) 5314 β 3029 β 1285 Stream of consciousness:",
"from": "human"
},
{
"value": "The other parts are equal to 1000.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the product of the localvalue and absolutevalue of 5 in 20568?\\nOptions:\\n(A) 1000\\n(B) 2500\\n(C) 1200\\n(D) 5000\\n(E) 1600 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Local value of 5 = 5 x 100 = 500\\nPlace value of 5 = 5\\nThere fore = 5 x 500 = 2500\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"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 12 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 second, how many gallons of water flowed through the pipe during the entire three hours?\\nOptions:\\n(A) 31.25\\n(B) 31.5\\n(C) 33.75\\n(D) 35.0\\n(E) 37.5 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Rate of flow of water in second hour = 12 gallons per hour\\nRate of flow of water in first hour = 12/(3/2) = 8 gallons per hour\\nRate of flow of water in third hour = (125/100)* 12 = (5/4) * 12 = 15 gallons per hour\\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 12+8+15 = 35 gallons The answer: (D).",
"from": "gpt"
}
] |
[
{
"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 82. How many points altogether did the team score?\\nOptions:\\n(A) 662\\n(B) 672\\n(C) 652\\n(D) 646\\n(E) 721 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "8 * 82 = 656 β 10 = 646\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?\\nOptions:\\n(A) 15\\n(B) 18\\n(C) 77\\n(D) 52\\n(E) 42 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "90 * 12/60 = 18 kmph\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. How much more would Rs.60000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\\nOptions:\\n(A) 482\\n(B) 725\\n(C) 992\\n(D) 1446\\n(E) 923",
"from": "human"
},
{
"value": "60000(11/10)4 - 60000(6/5)2 = 1446\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average of six results is 15 and that of the first five is 13. The sixth result is?\\nOptions:\\n(A) 20\\n(B) 25\\n(C) 15\\n(D) 22\\n(E) 18 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "6 * 15 Γ’β¬β 5 * 13 = 25 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 40, and 50 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\\nOptions:\\n(A) 4/11\\n(B) 1/2\\n(C) 15/22\\n(D) 200/9\\n(E) 11/4 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "P1 takes 12 hrs\\nRate for P2P3 together = 1/40 + 1/50 = 9/200\\nTherefore they take 200/9\\nRatio = 200/9 =\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "What is the sum of the 1st 5 prime numbers greater than 20?\\nOptions:\\n(A) 121\\n(B) 151\\n(C) 168\\n(D) 164\\n(E) 161 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Required sum = (23 + 29 + 31 + 37 + 41) = 161\\nNote: 1 is not a prime number The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The edge of a cube is 5a cm. Find its surface?\\nOptions:\\n(A) 150a2 cm2\\n(B) 170a2 cm2\\n(C) 125a2 cm2\\n(D) 175a2 cm2\\n(E) 120a2 cm2",
"from": "human"
},
{
"value": "6a2 = 6 * 5a * 5a = 150a2 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?\\nOptions:\\n(A) 12\\n(B) 14\\n(C) 27\\n(D) 53\\n(E) 86 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "In this series, each number is repeated, then 13 is subtracted to arrive at the next number. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?\\nOptions:\\n(A) 3377\\n(B) 2688\\n(C) 2688\\n(D) 9490\\n(E) 1268 Stream of consciousness:",
"from": "human"
},
{
"value": "A = 7500(26/25)^6 = 9490\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A car traveled from San Diego to San Francisco at an average speed of 66 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\\nOptions:\\n(A) 24.\\n(B) 32.\\n(C) 36.\\n(D) 42.\\n(E) 44. Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Let the time taken be = x\\nOne way distance = 66x\\nTotal distance traveled = 2 * 66x = 132x\\nTotal time taken = x + 2x = 3x\\nAverage speed = 132x/3x = 44\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 7",
"from": "human"
},
{
"value": "T = 60/36 * 18/5 = 6 sec\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. For any numbers w and z, w#z = w^3z(8 - w^2). If both z and w#z are positive numbers, which of the following could be a value of w?\\nOptions:\\n(A) 9\\n(B) 3\\n(C) 0\\n(D) β2\\n(E) β9",
"from": "human"
},
{
"value": "Since w#Z and w are positive, we need to take the value of w such that w#z or w^3z(8 - w^2) is positiv So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\\nOptions:\\n(A) 39\\n(B) 27\\n(C) 30\\n(D) 26\\n(E) 29",
"from": "human"
},
{
"value": "20 + 24 + 8 * 2 = 60/2 = 30\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?\\nOptions:\\n(A) 70\\n(B) 71\\n(C) 75\\n(D) 78\\n(E) 74 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "There will be 2 series\\n1st: 72 73 74 75 76 (Increasing by 1)\\n2nd: 76 77 78 79 (Increasing by 1)\\nFinal: 72 76 73 77 74 78 75\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: There is a square with side βaβ and one octagon is inscribed in it. What will be perimeter of octagon.\\nOptions:\\n(A) 8a/3\\n(B) 7a/3\\n(C) 5a/3\\n(D) a/3\\n(E) 11a/3\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it\\nGoing this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989?\\nOptions:\\n(A) 8%\\n(B) 25%\\n(C) 41%\\n(D) 59%\\n(E) 70% Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Dick saved = $ 3240\\nJane saved = $ 1760 (jane saved $1240 less than she did the prior year)\\nJane saved approximately $1240/$3000 (close to 41%) less in 1990 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How much 60% of 50 is greater than 40% of 30?\\nOptions:\\n(A) 18\\n(B) 28\\n(C) 26\\n(D) 27\\n(E) 23 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "(60/100) * 50 β (40/100) * 30\\n30 - 12 = 18\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "What is the are of an equilateral triangle of side 12 cm?\\nOptions:\\n(A) 36Γ’ΛΕ‘3 cm2\\n(B) 74Γ’ΛΕ‘3 cm2\\n(C) 64Γ’ΛΕ‘3 cm2\\n(D) 64Γ’ΛΕ‘5 cm2\\n(E) 14Γ’ΛΕ‘3 cm2 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Area of an equilateral triangle = Γ’ΛΕ‘3/4 S2\\nIf S = 12, Area of triangle = Γ’ΛΕ‘3/4 * 12 * 12 = 36Γ’ΛΕ‘3 cm2;\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-\\nOptions:\\n(A) 9/18\\n(B) 9/16\\n(C) 9/11\\n(D) 9/12\\n(E) 9/13 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 12Γ0+12Γ51612Γ0+12Γ516 = 532532\\n(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 12Γ1+12Γ43212Γ1+12Γ432 = 9/16 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have\\nOptions:\\n(A) 4\\n(B) 6\\n(C) 9\\n(D) 10\\n(E) 5",
"from": "human"
},
{
"value": "To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and bottom, hence 4+1 = 5. So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"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.7410. Find the share of B?\\nOptions:\\n(A) 2160\\n(B) 3000\\n(C) 3018\\n(D) 3019\\n(E) 3012 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n72/247 * 7410 = 2160\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?\\nOptions:\\n(A) 7\\n(B) 5\\n(C) 13\\n(D) 20\\n(E) 4 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "If you split 20 pieces of candy between 4 kids each kid will get 5 pieces of candy\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word \"NEGLIGENCE\" be rearrangement?\\nOptions:\\n(A) 3628800\\n(B) 3628800\\n(C) 3628812\\n(D) 3428800\\n(E) 3368800 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Option 'B'\\nThe total number of arrangements is\\n10P10 = 10! = 3628800\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The sale price shirts listed f or Rs.400 after successive discount is 10% and 5% is?\\nOptions:\\n(A) 280\\n(B) 290\\n(C) Rs.342\\n(D) 250\\n(E) 253",
"from": "human"
},
{
"value": "400*(90/100)*(95 / 100) = 342 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?\\nOptions:\\n(A) 22 1/7 %\\n(B) 22 3/2 %\\n(C) 21 3/7 %\\n(D) 22 1/2 %\\n(E) 22 1/2 % Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "9 = (1*42*R)/100\\nR = 21 3/7 %\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: There are different 6 circles. What is the number of the greatest possible points with which the circles intersect?\\nOptions:\\n(A) 90\\n(B) 100\\n(C) 110\\n(D) 180\\n(E) 30.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Maximum points of intersection between n different circles = n*(n - 1) = 6*5 = 30 Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?\\nOptions:\\n(A) xy/z\\n(B) (x + y) /z\\n(C) xz/y\\n(D) (x - y) /z\\n(E) (x + z) /y Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?\\nOptions:\\n(A) 338\\n(B) 277\\n(C) 350\\n(D) 288\\n(E) 271 Random thoughts:",
"from": "human"
},
{
"value": "D = 80 * 5/18 = 22 = 488 β 200 = 288 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The average of first 9 odd numbers is?\\nOptions:\\n(A) 5\\n(B) 6\\n(C) 7\\n(D) 8\\n(E) 9",
"from": "human"
},
{
"value": "Sum of 9 odd no. = 90\\nAverage = 81/9 = 9\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet?\\nOptions:\\n(A) o\\n(B) p\\n(C) e\\n(D) r\\n(E) s Random thoughts:",
"from": "human"
},
{
"value": "10th letter from your left is J\\n7th letter from your right is T\\nThe mid letter between J and T is O. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A can do a job in 45 days and B can do it in 30 days. A and B working together will finish four times the amount of work in ------- days?\\nOptions:\\n(A) 30days\\n(B) 45 days\\n(C) 80 days\\n(D) 72 1/2 days\\n(E) 72 days",
"from": "human"
},
{
"value": "1/45+ 1/30 = 5/90 = 1/18\\n18/1 = 18*4 = 72 days So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?\\nOptions:\\n(A) 25/153\\n(B) 28/153\\n(C) 5/17\\n(D) E=4/9\\n(E) E=12/17",
"from": "human"
},
{
"value": "P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: 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 oβclock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 80 miles\\n(C) 75 miles\\n(D) 120 miles\\n(E) 400 miles Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Answer = C. 75 miles\\nRelational speed = 130 - 100 = 30 miles per hour\\nIn 3 hours, difference = 30 * 3 = 90 miles\\nFast train trailing 15 miles, so effective difference = 90 - 15 = 75 miles\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The inverse ratio of 9: 2: 1 is?\\nOptions:\\n(A) 1:9:18\\n(B) 2:9:18\\n(C) 2:7:18\\n(D) 2:13:18\\n(E) 2:9:15 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "1/9: 1/2: 1/1 = 2:9:18\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Anmol can eat 27 pastries in a hour.\\nAakriti can eat 2 pastries in 10 minutes.\\nDivya can eat 7 pastries in 20 minutes.\\nHow long will it take them to eat a 360 pastries ?\\nOptions:\\n(A) 6 hours.\\n(B) 1 hours.\\n(C) 5 hours.\\n(D) 4 hours.\\n(E) 3 hours..\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 360 pastries would take 360 Γ· 60 = 6 hours. Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Scott's average (arithmetic mean) golf score on his first four rounds was 18.What score does he need on his fifth round to drop his average score by 2 points?\\nOptions:\\n(A) 68\\n(B) 72\\n(C) 8\\n(D) 88\\n(E) 312\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Average score for first 4 rounds = 18\\nAverage score after 5 rounds = 16\\nScore Scott needs on his 5th round to drop average score by 2 points = 18 - (2*5) = 8 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?\\nOptions:\\n(A) 12/11\\n(B) 12/24\\n(C) 13/16\\n(D) 18/12\\n(E) 14/23 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "One day work of A and B = 1/1\\nOne day work of B and C = 1/2\\nOne day work of C and A = 1/3\\n2(A + B + C) = 1/1+ 1/2 + 1/3\\n2(A + B + C) = 11/6\\n(A + B + C) = 11/12\\nNumber of days required = 12/11 days.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "How many positive integers less than 60 have a reminder 01 when divided by 3?\\nOptions:\\n(A) 13\\n(B) 14\\n(C) 15\\n(D) 16\\n(E) 20 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1 also gives the remainder of 1 when divided by 3. So, there are total of 20 numbers.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?\\nOptions:\\n(A) 32\\n(B) 83\\n(C) 45\\n(D) 53\\n(E) 64 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Sum of all the 13 numbers = 13 * 60 = 780\\nSum of the first 7 of them = 7 * 55 = 385\\nSum of the last 7 of them = 7 * 61 = 427\\nSo, the 8th number = 427 + 385 - 780 = 32.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "What is the are of an equilateral triangle of side 4 cm?\\nOptions:\\n(A) 64β5\\n(B) 4β3\\n(C) 64β4\\n(D) 64β3\\n(E) 64β2 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Area of an equilateral triangle = β3/4 S2\\nIf S = 4, Area of triangle = β3/4 * 4 * 4 = 4β3 cm2; So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A can do a work in 9 days and B can do the same work in 27 days. If they work together, in how many days will they complete the work?\\nOptions:\\n(A) 6 3/4 days\\n(B) 7 3/4 days\\n(C) 5 3/4 days\\n(D) 6 1/4 days\\n(E) 6 2/4 days Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "One day's work of A and B = 1/9 + 1/27 = (3+1)/27 = 4/27 So, the time taken to complete the work is 6 3/4 days. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 4 utility stocks, how many different combinations of 6 stocks are possible?\\nOptions:\\n(A) 1200\\n(B) 900\\n(C) 600\\n(D) 180\\n(E) 720 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "6C2 * 5C2 * 4C2 = 15*10*6 = 900. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A merchant sold two items for Rs.1700 each, and makes a profit of 25% from the first item and a loss of 20% from the second item. calculate the total gain or loss.\\nOptions:\\n(A) 7\\n(B) 5\\n(C) 3\\n(D) 6\\n(E) 4.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "(25*20)/100 = 5%loss Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Qβs share in it?\\nOptions:\\n(A) 1,800\\n(B) 2,700\\n(C) 3,600\\n(D) Data inadequate\\n(E) None of these Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3.\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 10\\n(E) 11 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Start from 1: 1368, Start from 2: 2358, Start from 3: 378, Start from 4: 48, Start from 5: 528, Start from 6: 678, Start from 7: 78, Why start from 8???, Start from 9: 918. So flights can start from all 8 other cities.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3 sec\\n(B) 4 sec\\n(C) 8 sec\\n(D) 6 sec\\n(E) 7 sec",
"from": "human"
},
{
"value": "T = 52/24 * 18/5 = 8 se\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of color sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1 sensor between the black and white border on the edge of disk\\n1 is enough to determine the drection So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Which of the following numbers is divisible by each one of 3, 7, 9 and 11?\\nOptions:\\n(A) 639\\n(B) 2079\\n(C) 3791\\n(D) 37911\\n(E) None of these",
"from": "human"
},
{
"value": "639 is not divisible by 7;\\n2079 is divisible by each one of 3, 7, 9, 11.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "There are 3 teams each with 3 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\\nOptions:\\n(A) 50\\n(B) 23\\n(C) 27\\n(D) 28\\n(E) 45 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?\\nOptions:\\n(A) 14\\n(B) 12\\n(C) 13\\n(D) 15\\n(E) 11 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the least number must be added to 433124 so that remaining no.is divisible by 17?\\nOptions:\\n(A) 3\\n(B) 2\\n(C) 5\\n(D) 6\\n(E) 1 Random thoughts:",
"from": "human"
},
{
"value": "On dividing 433124 by 17 we get the remainder 15, so 2 should be added The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?\\nOptions:\\n(A) 3x\\n(B) 4x\\n(C) 9x\\n(D) 12x\\n(E) 27x Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Original perimeter = x\\nHence original side = x/4\\nNew side = 3x/4\\nNew perimeter = 4*3x/4 = 3x So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the average of the first 25 natural numbers?\\nOptions:\\n(A) 8\\n(B) 9\\n(C) 13\\n(D) 11\\n(E) 12\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Average of the first 'n' natural numbers = (n + 1)/2\\nWe get (25 + 1)/2 = 13 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: 5,9,19,31,51,__\\nOptions:\\n(A) 84\\n(B) 80\\n(C) 81\\n(D) 82\\n(E) 83 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "(9+5) +5 = 19\\n(16+9) +6 = 31\\n(28+16)+7 = 51\\n(48+28)+8 = 84 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?\\nOptions:\\n(A) 52\\n(B) 166\\n(C) 84\\n(D) 122\\n(E) 168 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "10x = 8y = 14z\\n5x = 4y = 7z\\n5(4*7) = 4(5*7) = 7(5*4)\\nAddition = 28+20+35 = 83\\nAnswer would be multiple of 83 which is 166 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?\\nOptions:\\n(A) 20\\n(B) 22\\n(C) 24\\n(D) 27\\n(E) 30 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "In an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\\nOptions:\\n(A) 8\\n(B) 64\\n(C) 50\\n(D) 144\\n(E) 160 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(10/100)Workers = 16 = > number of workers = 160\\n(50/100)*Workers = x+16 = > x = 8 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Ten percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $400 million from its orange exports, how much money does it generate from its yearly total of exports?\\nOptions:\\n(A) $21.25m\\n(B) $25.5m\\n(C) $106.25m\\n(D) $127.5m\\n(E) $20000m",
"from": "human"
},
{
"value": "10/100*1/5*(total) = 400\\n1/50*(total) = 400\\n(total) = 400*50 = 20000\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "If c and d are unique prime integers, which of the following must be even?\\nOptions:\\n(A) cβd\\n(B) 2cβ2d\\n(C) cβ2d\\n(D) 2cβd\\n(E) cd^2 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Any number multiplied by 2 has to be an even number So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. There are 1000000 people in city X, out of these 70% people having voting rights and out of those 55% voters votes candidate A and out of them 20% voters are senior citizens.Then find out the number of senior citizens who votes candidate A having voting rights?\\nOptions:\\n(A) 8300\\n(B) 14500\\n(C) 7700\\n(D) 13000\\n(E) 5900",
"from": "human"
},
{
"value": "Total number of people having voting rights = 100000; out of those 70% voters votes candidate A = 70000; out of them 55% voters votes candidate A = 38500; out of them 20% voters are senior citizens = 7700 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\\nOptions:\\n(A) 8\\n(B) 0\\n(C) 6\\n(D) 10\\n(E) 12 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "A number ending with 2 can never be a perfect square. So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 8\\n(D) 9\\n(E) 5",
"from": "human"
},
{
"value": "Speed in still water = 1 (11 + 5)/2 kmph = 8 kmph.\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "P and Q invested in a shop. The profits were divided in the ratio of 5: 2 respectively. If P invested Rs. 5600, the amount invested by Q is:\\nOptions:\\n(A) 3500\\n(B) 5600\\n(C) 2200\\n(D) 2400\\n(E) None OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Suppose Q invested Rs. y. Then, 5600/y = 5/2 or y = [5600 x 2 / 5] = 2240 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?\\nOptions:\\n(A) 26\\n(B) 36\\n(C) 64\\n(D) 67\\n(E) 63 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "6C1 + 6C2+ 6C3+6C4+6C5+6C6 = 63.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\\nOptions:\\n(A) 300\\n(B) 992\\n(C) 772\\n(D) 552\\n(E) 312\nSome stream of consciousness:",
"from": "human"
},
{
"value": "1/2:1/3:1/4 = 6:4:3\\n3/13*1300 = 300 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: There are 13person 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!\\n(C) 6!*1!\\n(D) 10!*2!\\n(E) 5!*1! Random thoughts:",
"from": "human"
},
{
"value": "Total number of ways = 10!*2!. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "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?\\nOptions:\\n(A) 19002\\n(B) 19028\\n(C) 27788\\n(D) 19000\\n(E) 27711 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 1000\\nBalance payment = (20000 - 1000) = Rs. 19000\nThe final answer: (D).",
"from": "gpt"
}
] |
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