conversations
list |
|---|
[
{
"value": "Q: N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there?\\nOptions:\\n(A) 600\\n(B) 400\\n(C) 450\\n(D) Cannot be determined\\n(E) None of these Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Required persons = 325000−300000/50 = 500\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\\nOptions:\\n(A) 2\\n(B) 7\\n(C) 9\\n(D) 10\\n(E) 15",
"from": "human"
},
{
"value": "222 + 43 = 265/17 = 10 (Remainder)\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream\\nOptions:\\n(A) 1kmph\\n(B) 2 kmph\\n(C) 1.5 kmph\\n(D) 12 kmph\\n(E) 15 kmph Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Speed upstream = 16/4 = 4 kmph\\nSpeed down stream = 24/4 = 6 kmph\\nSpeed of stream = ½ (6-4) = 1 kmph So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.\\nOptions:\\n(A) 9974\\n(B) 9125\\n(C) 9565\\n(D) 9997\\n(E) None of these Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition. The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 45\\n(D) 60\\n(E) 120 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the simple interest on Rs.300 for 9 months at 6 paisa per month?\\nOptions:\\n(A) 142\\n(B) 152\\n(C) 162\\n(D) 172\\n(E) 182",
"from": "human"
},
{
"value": "I = (300*9*6)/100 = 162\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:\\nOptions:\\n(A) 4000\\n(B) 6000\\n(C) 8000\\n(D) 10000\\n(E) None of these Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Total expenditure = 40 + 25 + 15 + 5 = 85%\\nSaving = (100 - 85) = 15%\\n15/100 × Salary = 1200, Salary = 8000 Rs.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "30 pens and 75 pencils were purchased for 750. If the average price of a pencil was 2.00, find the average price of a pen.\\nOptions:\\n(A) 20\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 14 Stream of consciousness:",
"from": "human"
},
{
"value": "Since average price of a pencil = 2\\n∴ Price of 75 pencils = 150\\n∴ Price of 30 pens = (750 – 150) = 600\\n∴ Average price of a pen = 600⁄60 = 20\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Rs.900 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\\nOptions:\\n(A) Rs.1056\\n(B) Rs.1001\\n(C) Rs.2056\\n(D) Rs.1026\\n(E) Rs.1856",
"from": "human"
},
{
"value": "(900*3*3)/100 = 81\\n920 + 81 = 1001\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the odd man out\\n25, 49, 81, 121, 144, 169\\nOptions:\\n(A) 49\\n(B) 121\\n(C) 144\\n(D) 169\\n(E) 25 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "144 is square of 12 which is even number where as all others are squares of odd numbers. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average age of a family of 6 members is 34 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\\nOptions:\\n(A) 15\\n(B) 18\\n(C) 21\\n(D) 12\\n(E) 27 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Present age of total members = 6 X 34 = 204\\n7 yrs back their ages were = 6 x 7 = 42\\nAges at the birth of youngest member = 204 - 42 = 162\\nTherefore, avg age at the birth of youngest member = 162/6 = 27.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?\\nOptions:\\n(A) 8%\\n(B) 15%\\n(C) 45%\\n(D) 52%\\n(E) 56% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "First $20 million: royalties/sales ratio = 3/20 = 36/240\\nNext $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\\nOptions:\\n(A) 22777\\n(B) 28877\\n(C) 26888\\n(D) 28800\\n(E) 67881 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Simple interest = (18000 * 4 * 15)/100 = Rs. 10800\\nAmount = P + I = 18000 + 10800 = Rs. 28800\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Look at this series: 0.05, 0.2, ____, 3.2, 12.8, ... What number should fill the blank?\\nOptions:\\n(A) 0.5\\n(B) 0.6\\n(C) 0.9\\n(D) 0.7\\n(E) 0.8 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "This is a simple multiplication series. Each number is 4 times greater than the previous number.\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 15 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\\nOptions:\\n(A) 17 1/17 min\\n(B) 28 1/7 min\\n(C) 17 1/7 min\\n(D) 17 1/8 min\\n(E) 17 5/7 min Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "1/8 + 1/12 - 1/15 = 17/120\\n120/17 = 7 1/17\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A can do a piece of work in 9 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) 77\\n(C) 66\\n(D) 54\\n(E) 12",
"from": "human"
},
{
"value": "8/9 + 6/x = 1\\nX = 54 days So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 5 sec\\n(B) 4 sec\\n(C) 3 sec\\n(D) 6 sec\\n(E) 1 sec",
"from": "human"
},
{
"value": "T = 40/36 * 18/5 = 4 sec So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The average of first 10 even numbers is?\\nOptions:\\n(A) 226\\n(B) 27\\n(C) 27\\n(D) 11\\n(E) 99 Stream of consciousness:",
"from": "human"
},
{
"value": "Sum of 10 even numbers = 10 * 11 = 110\\nAverage = 110/10 = 11\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?\\nOptions:\\n(A) 50 kmph\\n(B) 60 kmph\\n(C) 70 kmph\\n(D) 80 kmph\\n(E) 85 kmph.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "S = (80 + 60)/2 = 70 kmph Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\\nOptions:\\n(A) 2,060\\n(B) 1,320\\n(C) 545\\n(D) 364\\n(E) 220 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "14*13*12/3*2*1 = 364 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Which of the following numbers is divisible by 5?\\nOptions:\\n(A) 3221\\n(B) 6175\\n(C) 6231\\n(D) 5813\\n(E) 4251\nSome stream of consciousness:",
"from": "human"
},
{
"value": "6175. This is the only option with last two digits divisible by 5 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 5\\n(D) 6\\n(E) 9 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Integer is divisible by 3 - Sum of digits is divisible by 3 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\\nOptions:\\n(A) 219\\n(B) 246\\n(C) 252\\n(D) 262\\n(E) 270",
"from": "human"
},
{
"value": "Number of newborns that can die in first month = 1/10 * 300 = 30\\nSurvived = 270\\nNumber of newborns that can die in second month = 1/10 * 270 = 27\\nSurvived = 243\\nNumber of newborns that can die in third month = 1/10 * 243 = 24\\nSurvived = 219\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A train 360 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\\nOptions:\\n(A) 29\\n(B) 18\\n(C) 48\\n(D) 99\\n(E) 32 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "D = 360 + 120 = 480\\nS = 54 * 5/18 = 15 mps\\nT = 480/15 = 32 sec So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 51% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\\nOptions:\\n(A) 60%\\n(B) 50%\\n(C) 25%\\n(D) 16%\\n(E) 10% Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "{Total} = {finance} + {marketing} - {both} + {neither}\\n100 = 25 + 51 - {both} + 40\\n{both} = 16%.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Divide Rs.32000 in the ratio 3:3?\\nOptions:\\n(A) 12000, 20000\\n(B) 12000, 200098\\n(C) 16000, 16000\\n(D) 12000, 20006\\n(E) 12000, 20001 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "3/6 * 32000 = 16000\\n5/6 * 32000 = 16000\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years have become the members of the club, find average age of all the 11 members.\\nOptions:\\n(A) 15\\n(B) 31\\n(C) 77\\n(D) 99\\n(E) 22 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Average age of 9 members = 29 years; Excess age of 2 new members = (40 - 29) × 2 = 22 years\\nTherefore, Increase in the average age on inclusion of 2 new members = 22112211 = 2 years\\nTherefore, Average age of 11 members = 29 + 2 = 31 years\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?\\nOptions:\\n(A) 25\\n(B) 27\\n(C) 29\\n(D) 33\\n(E) 34",
"from": "human"
},
{
"value": "The total of seven numbers = 7X18 = 126\\nThe total of first 3 and last 3 numbers is = 3 X 12+3 X 19 = 99\\nSo, the middle number is (126 - 93 ) = 33\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?\\nOptions:\\n(A) 16.5\\n(B) 16.0\\n(C) 15\\n(D) 16.8\\n(E) 16.1 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "D = 110 + 140 = 250 m\\nS = 60 * 5/18 = 50/3\\nT = 250 * 3/50 = 15 se So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a white shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\\nOptions:\\n(A) 29\\n(B) 39\\n(C) 54\\n(D) 64\\n(E) 75 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The correct answer should not take the form: 5x + 4. Hence, it is So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Divide Rs.32000 in the ratio 1:9?\\nOptions:\\n(A) 12000, 20000\\n(B) 12000, 200098\\n(C) 12000, 20007\\n(D) 3200, 28800\\n(E) 12000, 20001",
"from": "human"
},
{
"value": "1/10 * 32000 = 3200\\n9/10 * 32000 = 28800 So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125\\nOptions:\\n(A) 9\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 5 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Maximum power of 5 in the above expression can be calculated like this. Count all the powers of 5 in the above expression. So number of zeroes are 9. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: In how many different ways can the letters of the word \"POLICE\" be rearrangement?\\nOptions:\\n(A) 710\\n(B) 725\\n(C) 720\\n(D) 770\\n(E) 722.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Option 'C'\\nThe total number of arrangements is\\n6P6 = 6! = 720 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. There are 4 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?\\nOptions:\\n(A) 10\\n(B) 8\\n(C) 40\\n(D) 60\\n(E) 120",
"from": "human"
},
{
"value": "Each person is one participant of 4 games. So there are in all 4*4 = 16 instances of one participant games. But each game has 2 participants so total number of games = 16/2 = 8 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: What is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?\\nOptions:\\n(A) 7000\\n(B) 700\\n(C) 70000\\n(D) 70\\n(E) 7 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "100889 - (Local value of 3) = 100889 - 3000 = 97889\\nLocal value of 7 in 97889 = 7000 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: 2 44 4 41 6 38 8 - Look carefully for the pattern, and then choose which pair of numbers comes next.\\nOptions:\\n(A) 35 10\\n(B) 12 10\\n(C) 9 34\\n(D) 52 10\\n(E) 34 89 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3.\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. You are filling up your car with gas. Your tank can hold 19 gallons. Your car started with x gallons in it. You paid $20 in gas. What was the cost of gas per gallon?\\nOptions:\\n(A) 19/20\\n(B) x/20\\n(C) (19-x) /20\\n(D) x-19) /20\\n(E) 19+20/x",
"from": "human"
},
{
"value": "Amount of gas you added to your car: 19-x\\nPrice per gallon: (19-x)/20 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 360\\n(C) 60\\n(D) 180\\n(E) 720 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "5C3 * 4C2 * 4C2 = 10*6*6 = 360. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The average of first four prime numbers greater than 50 is?\\nOptions:\\n(A) 50\\n(B) 57\\n(C) 89\\n(D) 56\\n(E) 60 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "53 + 59 + 61 + 67 = 240/4 = 60 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days?\\nOptions:\\n(A) 120\\n(B) 240\\n(C) 360\\n(D) 1200\\n(E) 480 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "10 men 120 acres 15 days\\n20 men ? 30 days\\n120 * 20/10 * 30/15\\n120 *2 * 2\\n120 * 4 = 480\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?\\nOptions:\\n(A) 5/15\\n(B) 2/21\\n(C) 20/15\\n(D) 5/210\\n(E) 4/14 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Of the 15 marbles we are wanting red:\\nProbability of choosing 1st red marble: 5/15\\nProbability of Choosing 2nd red marble: 4/14\\nMultiply and you get 20/210 simplified to 2/21 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?\\nOptions:\\n(A) 12 hrs\\n(B) 24 hrs\\n(C) 36 hrs\\n(D) 48 hrs\\n(E) 42 hrs",
"from": "human"
},
{
"value": "Time taken by leak to empty tank = 1/(1/16-1/24) = 48 hrs\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?\\nOptions:\\n(A) 356\\n(B) 278\\n(C) 300\\n(D) 279\\n(E) 150 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 18 = 300 m So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?\\nOptions:\\n(A) A) 12\\n(B) B) 14\\n(C) C) 38\\n(D) D) 53\\n(E) E) 86.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "In this series, each number is repeated, then 5 is subtracted to arrive at the next number. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The edge of a cube is 2a cm. Find its surface?\\nOptions:\\n(A) 23a2 cm2\\n(B) 84a2 cm2\\n(C) 64a2 cm2\\n(D) 24a2 cm2\\n(E) 14a2 cm2 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "6a2 = 6 * 2a * 2a = 24a2\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/4%\\n(B) 33 1/3%\\n(C) 33 7/3%\\n(D) 33 5/3%\\n(E) 33 1/7%",
"from": "human"
},
{
"value": "P = (P*3*R)/100\\nR = 33 1/3% So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder Q when N is divided by 30?\\nOptions:\\n(A) (a) 4\\n(B) (b) 7\\n(C) (c) 11\\n(D) (d) 13\\n(E) (e) 17 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.\\nOptions:\\n(A) 6/63\\n(B) 2/63\\n(C) 125/126\\n(D) 1/126\\n(E) 1/63 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Required probability = 1 - 1/126 = 125/126\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. George's car calls for 8 ounces of oil for each cylinder used. His car's engine has 6 cylinders. If 16 ounces of oil has already been put into the engine used, then how many additional ounces of oil are needed?\\nOptions:\\n(A) 16\\n(B) 48\\n(C) 64\\n(D) 32\\n(E) 8",
"from": "human"
},
{
"value": "Number of ounces per cylinder 8\\nNumber of cylinders 6\\nOunces needed 48\\nOunces used 16\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "On a clock, how many times a day do the minute and hour hand overlap?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 20\\n(D) 22\\n(E) 24 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: The edge of a cube is 4a cm. Find its surface?\\nOptions:\\n(A) 24a8\\n(B) 24a4\\n(C) 96a2\\n(D) 24a2\\n(E) 24a7.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "6a2 = 6 * 4a * 4a = 96a2 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: The measure of the side of a square is multiplied by 7. 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) 7x\\n(D) 12x\\n(E) 27x Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Original perimeter = x\\nHence original side = x/4\\nNew side = 7x/4\\nNew perimeter = 4*7x/4 = 7x\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "(x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?\\nOptions:\\n(A) 2\\n(B) 7\\n(C) 6\\n(D) 1\\n(E) 9 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(x + 1)(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d\\n6(x + 1)(x - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\\n6(x2x2 - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\\n⇒6(x3+x2−x−1)⇒6(x3+x2−x−1) = ax3+bx2+cx+dax3+bx2+cx+d\\n⇒6x3+6x2−6x−6⇒6x3+6x2−6x−6 = ax3+bx2+cx+dax3+bx2+cx+d\\nEquating the coefficients of like learns on both the sides, a = 6, b = 6, c = -6 and d = -6. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6?\\nOptions:\\n(A) One\\n(B) Three\\n(C) Two\\n(D) Five\\n(E) Four Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Answer = E) Four\\nNumbers between 10 - 99 giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93\\nThe above Numbers giving remainder 1 when divided by 6 = 13, 37, 61, 85 = 4\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Find the least number must be added to 228712 so that remaining no.is divisible by 9?\\nOptions:\\n(A) 5\\n(B) 3\\n(C) 1\\n(D) 6\\n(E) 2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "On dividing 228712 by 9 we get the remainder 4, so 5 should be subtracted So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 13 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\\nOptions:\\n(A) 2,060\\n(B) 1,320\\n(C) 545\\n(D) 315\\n(E) 286",
"from": "human"
},
{
"value": "13*12*11/3*2*1 = 286\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Divide Rs.32000 in the ratio 1:7?\\nOptions:\\n(A) 12000, 20000\\n(B) 12000, 200098\\n(C) 4000, 28000\\n(D) 12000, 20006\\n(E) 12000, 20001 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "1/8 * 32000 = 4000\\n7/8 * 32000 = 28000 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?\\nOptions:\\n(A) 4 mins\\n(B) 10 mins\\n(C) 15 mins\\n(D) 3 mins\\n(E) 7 mins Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Answer will be A\\nThe time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 4 mins. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?\\nOptions:\\n(A) 50 kg\\n(B) 100 kg\\n(C) 150 kg\\n(D) 200 kg\\n(E) 250 kg Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "100 kg of first type. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: From among the 35 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) 1190\\n(E) 1460 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\\nOptions:\\n(A) 5^3 ways\\n(B) 8^9 ways\\n(C) 7^8 ways\\n(D) 8^7 ways\\n(E) 8^6 ways OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "5 people can be prized with 3 distinct prizes in 5^3 ways The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?\\nOptions:\\n(A) 5\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 9 Stream of consciousness:",
"from": "human"
},
{
"value": "On dividing 899830 by 16 we get the remainder 6, so 6 should be subtracted\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\\nOptions:\\n(A) 22 kmph\\n(B) 77 kmph\\n(C) 54 kmph\\n(D) 72 kmph\\n(E) 88 kmph Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "S = 320/16 * 18/5 = 72 kmph\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In a school of 850 boys, 44% of Muslims, 32% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) A) 125\\n(B) B) 119\\n(C) C) 153\\n(D) D) 721\\n(E) E) 159\nSome stream of consciousness:",
"from": "human"
},
{
"value": "44 + 32 + 10 = 86%\\n100 – 84 = 14%\\n850 * 14/100 = 119 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 50%\\n(C) 17%\\n(D) 17.61%\\n(E) 17.56% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Increase = (30/60)*100 = (3/6)*100 = 50%.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?\\nOptions:\\n(A) 1/2\\n(B) 1/3\\n(C) 1/5\\n(D) 1/6\\n(E) 1/4 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "135 litres = 1/4 of tank\\n180 litres = 1/4 x 180/135 = 1/3 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following is equal to (y+1)!/y!?\\nOptions:\\n(A) y-1\\n(B) 1+(1/y) \\n(C) 1\\n(D) y+1\\n(E) y Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "(y + 1)! = (y + 1) * x!\\n(y + 1)!/y! = y + 1\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:\\nOptions:\\n(A) 8%\\n(B) 6%\\n(C) 9%\\n(D) 10%\\n(E) 11% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Rs 1552 income = Rs 128\\nBy investing Rs 97 income = 128/1552*97 = Rs 8\\nDivdend = 8%\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:\\nOptions:\\n(A) 35000\\n(B) 40000\\n(C) 50000\\n(D) 60000\\n(E) None\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Suppose Q invested Rs. y. Then, 40000/y = 2/3 or y = [40000 x 3 / 2] = 60000. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. 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 240 pastries ?\\nOptions:\\n(A) 2 hours.\\n(B) 1 hours.\\n(C) 5 hours.\\n(D) 4 hours.\\n(E) 3 hours.",
"from": "human"
},
{
"value": "In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 ÷ 60 = 4 hours.\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\\nOptions:\\n(A) 22 1/7 %\\n(B) 22 3/2 %\\n(C) 22 1/8 %\\n(D) 22 1/2 %\\n(E) 22 1/2 %.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "9 = (1*40*R)/100\\nR = 22 1/2 % Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 55 players took part in that tournament. How many matches were played?\\nOptions:\\n(A) 90 matches\\n(B) 95 matches\\n(C) 99 matches\\n(D) 85 matches\\n(E) 87 matches Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "A 54 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 54 matches were played.\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "What is the units digit of the expression 14^7−15^4?\\nOptions:\\n(A) 0\\n(B) 8\\n(C) 4\\n(D) 6\\n(E) 3 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "I think answer on this one should be B too. Since we know that 14^7>15^4, as Will said one should always check if the number is positive.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are moving at 80 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 sec\\n(B) 7 sec\\n(C) 7 2/2 sec\\n(D) 8 sec\\n(E) 9 sec OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "70 + 80 = 150 * 5/18 = 125/3 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 3/125 = 6 sec The answer: (A).",
"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 84. How many points altogether did the team score?\\nOptions:\\n(A) 662\\n(B) 672\\n(C) 652\\n(D) 642\\n(E) 721 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "8 * 84 = 672 – 10 = 662\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?\\nOptions:\\n(A) 75 m\\n(B) 180 m\\n(C) 324 m\\n(D) Cannot be determined\\n(E) None of these Random thoughts:",
"from": "human"
},
{
"value": "Speed = 30 * 5/18 = 25/3 m/sec\\nLength of the train = speed * time = 25/3 * 9 = 75 m The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 5 kmph\\n(B) 7 kmph\\n(C) 9 kmph\\n(D) 8 kmph\\n(E) 10 kmph Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 95/(2 1/2) = 38 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (38 - 18)/2 = 10 kmph So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 0\\n(E) 1",
"from": "human"
},
{
"value": "39 + 20 = 59/13 = 7 (Remainder)\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "On dividing 165826 by 4 we get the remainder 2, so 2 should be subtracted\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\\nOptions:\\n(A) 125\\n(B) 126\\n(C) 127\\n(D) 128\\n(E) 129\nSome stream of consciousness:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 44 = 484\\n1 to 5 = 5 * 49 = 245\\n5 to 11 = 7 * 52 = 364\\n5th = 245 + 364 – 484 = 125 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. How much is 80% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 15\\n(B) 57\\n(C) 16\\n(D) 12\\n(E) 73",
"from": "human"
},
{
"value": "(80/100) * 40 – (4/5) * 25\\n32 - 20 = 12 So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\\nOptions:\\n(A) 48\\n(B) 1720\\n(C) 2880\\n(D) 5040\\n(E) 10080 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\\nOptions:\\n(A) 45%\\n(B) 49%\\n(C) 54%\\n(D) 59%\\n(E) 61% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Total number of votes polled = (2136 + 7636 + 11628) = 21260\\nSo, Required percentage = 11628/21260 * 100 = 54%\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?\\nOptions:\\n(A) Two\\n(B) Five\\n(C) Six\\n(D) Four\\n(E) One Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Answer = A) Two\\nNumbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93\\nThe Numbers giving remainder 2 when divided by 5 = 12, 57 = 2\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\\nOptions:\\n(A) 1 2/7 days\\n(B) 64 2/7 days\\n(C) 1 7/7 days\\n(D) 1 8/7 days\\n(E) 62 2/5 days Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "1 man's 1 day work = 1/100\\n(10 men + 15 women)'s 1 day work = 1/3\\n15 women's 1 day work = (1/3- 10/100) = 7/30\\n1 woman's 1 day work = 7/450\\n1 woman alone can complete the work in 64 2/7 days.\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Efrida and Frazer who live 15 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 8\\n(D) 10\\n(E) 13",
"from": "human"
},
{
"value": "It's a simple geometry problem. Look at the diagram below: So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "In what time a sum of money double itself at 7% per annum simple interest?\\nOptions:\\n(A) 33 1/8%\\n(B) 33 1/3%\\n(C) 14 2/7%\\n(D) 32 1/3%\\n(E) 23 1/3% OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "P = (P*7*R)/100\\nR = 14 2/7% The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "On 3,000 invested at a simple interest rate 6 p.c.p.a, 900 is obtained as interest in certain years. In order to earn 1,600 as interest on 4,000 in the same number of years, what should be the rate of simple interest?\\nOptions:\\n(A) 7 p.c.p.a.\\n(B) 8 p.c.p.a.\\n(C) 9 p.c.p.a.\\n(D) Data inadequate\\n(E) None of these Stream of consciousness:",
"from": "human"
},
{
"value": "Time = 900×100/3000×6 = 5 years\\nRate = 1600×100/5×4000 = 8%\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A boy runs 200 metres in 24 seconds. What is his speed ?\\nOptions:\\n(A) 20 km/hr\\n(B) 24 km/hr\\n(C) 28.5 km/hr\\n(D) 30 km/hr\\n(E) 35 km/hr",
"from": "human"
},
{
"value": "200/24 * 18/5 = 30 km/hr\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. If anitha rows 65 km upstream and 105 km down steam taking 13 hours each, then the speed of the stream\\nOptions:\\n(A) 8.4 kmph\\n(B) 5.5 kmph\\n(C) 6 kmph\\n(D) 8 kmph\\n(E) 8.2 kmph",
"from": "human"
},
{
"value": "Speed upstream = 65/13 = 5 kmph\\nSpeed down stream = 105/5 = 21 kmph\\nSpeed of stream = ½ (21-5) = 8 kmph\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "For integers U and V, when U is divided by V, the remainder is Zero. Which of the following must be true?\\nOptions:\\n(A) U and V share no common factors other than 1\\n(B) UV is odd.\\n(C) At least one of U and V is odd\\n(D) The sum U + V is odd\\n(E) U is odd Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "At least one of U and V is odd\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?\\nOptions:\\n(A) 1/14\\n(B) 1/7\\n(C) 3/7\\n(D) 2/7\\n(E) 1/2",
"from": "human"
},
{
"value": "Total ways to choose 4 employees from 8 employees = 8C4\\nTwo women = 5C2\\nTwo Men = 3C2\\nP = (5C2 * 3C2)/8C2 = 3/7 hence So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?\\nOptions:\\n(A) 15\\n(B) 67\\n(C) 18\\n(D) 19\\n(E) 12 Stream of consciousness:",
"from": "human"
},
{
"value": "90 * 10/60 = 15 kmph\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A cheetah runs m miles in n hours. How many miles will it run in x hours at the same rate?\\nOptions:\\n(A) mnx\\n(B) m⁄n\\n(C) mx⁄n\\n(D) mx\\n(E) mn⁄x Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Given Speed = m/n\\nTo Find distance in x hours with same speed\\nDistance = speed * time\\nDistance = m/n*x = mx/n\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In a school of 850 boys, 40% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) A) 125\\n(B) B) 627\\n(C) C) 187\\n(D) D) 721\\n(E) E) 159",
"from": "human"
},
{
"value": "40 + 28 + 10 = 78%\\n100 – 78 = 22%\\n850 * 22/100 = 187\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A certain car uses 12 gallons of gasoline in traveling 300 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\\nOptions:\\n(A) 2\\n(B) 4\\n(C) 5\\n(D) 8\\n(E) 10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "300/10 = 30. The difference is 30 - 25 = 5.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)\\nOptions:\\n(A) 1/2\\n(B) 2/3\\n(C) 3/2\\n(D) 4/5\\n(E) 4/7.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "P(A|B) = P(A ∪ B)/P(B)\\nP(A|B) = (6/15)/(4/15) = 3/2. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 450 or over 650. If the individual ranges of the three people's scores in those 4 practice tests were 30, 80 and 110, what is the difference between the maximum and minimum possible ranges of all their scores put together.\\nOptions:\\n(A) 90\\n(B) 120\\n(C) 50\\n(D) 70\\n(E) 100",
"from": "human"
},
{
"value": "According to the information in the question the maximum range would be between 450 and 650(200). The minimum range would be the greatest range for any one individual, which is listed in the problem as 110. So the difference between these would be 200-110 or 90. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find 94 ×× 97\\nOptions:\\n(A) 93/198\\n(B) 93/12\\n(C) 93/18\\n(D) 93/10\\n(E) 93/11.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Here both numbers are less than 100. So they are deficient of - 6 and - 3 compared with 100. So Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "5,9,18,31,52,__\\nOptions:\\n(A) 79\\n(B) 80\\n(C) 86\\n(D) 82\\n(E) 83 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(9+5) +4 = 18\\n(16+9) +6 = 31\\n(28+16)+8 = 52\\n(48+28)+10 = 86\nThe final answer: (C).",
"from": "gpt"
}
] |
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