conversations
list |
|---|
[
{
"value": "Find the odd man out\\n253, 136, 352, 328, 631, 244\\nOptions:\\n(A) 328\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531 Stream of consciousness:",
"from": "human"
},
{
"value": "The sum all three digits comes to 10 except 328\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?\\nOptions:\\n(A) 5/5\\n(B) 5/9\\n(C) 5/1\\n(D) 1/3\\n(E) 5/2 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Total number of outcomes possible when a die is rolled, n(S) = 6 (∵ 1 or 2 or 3 or 4 or 5 or 6)\\nE = Event that the number shown in the dice is divisible by 3 = {3, 6}\\nThe probability = 2/6 = 1/3. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Find the simple interest on Rs.350 for 10 months at 5 paisa per month?\\nOptions:\\n(A) 277\\n(B) 175\\n(C) 288\\n(D) 266\\n(E) 121 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "I = (350*10*5)/100 = 175\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: a student got 70% in one subject,80% in other.to get overall 75% how much he should get in third subject.\\nOptions:\\n(A) 65%\\n(B) 75%\\n(C) 85%\\n(D) 95%\\n(E) 88% Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Already average of two subjects is (70+80)/2 = 75%\\nTo maintain the percentage at 75%, he shouls get 75% marks in third subject The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: A certain car uses 12 gallons of gasoline in traveling 180 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) 3\\n(C) 6\\n(D) 8\\n(E) 10 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "180/10 = 18. The difference is 18 - 15 = 3.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.\\nOptions:\\n(A) 20 kg\\n(B) 25 kg\\n(C) 30 kg\\n(D) 35 kg\\n(E) None of these Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Since, expenditure = price × consumption\\n∴ 110% of 30 = 132⁄100 × new consumption\\n⇒ 110⁄100 × 30 = 132⁄100 × new consumption\\n⇒ New consumption = 25 kg\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In a class, the average age of 45 boys is 10 years and the average of 15 girls is 10 years. what is the average age of the whole class?\\nOptions:\\n(A) 12 Years\\n(B) 12.3 Years\\n(C) 10 Years\\n(D) 13 Years\\n(E) 15 Years Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Total age of 60 students\\n(45X 10+15 X 10) = 630\\nAverage = 600/60 = 10 Years So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?\\nOptions:\\n(A) A) 23\\n(B) B) 14\\n(C) C) 27\\n(D) D) 53\\n(E) E) 86",
"from": "human"
},
{
"value": "In this series, each number is repeated, then 10 is subtracted to arrive at the next number.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average weight of 36 men is 50 kg. It was found later that the figure of 37 kg was misread as 73 kg. What is the correct average?\\nOptions:\\n(A) 49 kg\\n(B) 51 kg\\n(C) 50.5 kg\\n(D) 51.5 kg\\n(E) None of these Random thoughts:",
"from": "human"
},
{
"value": "Correct average = [( 50 x 36) - 73 + 37 )]/36 = 1764/36 = 49 kg. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is\\nOptions:\\n(A) 3\\n(B) 7\\n(C) 10\\n(D) 12\\n(E) 15 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1-1/4 = remain cake 3/4\\n3/4*3 = 9/4\\n9/4+1/4 = 10 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 14 minutes, how much time will she spend doing yoga? (rounded to minutes)\\nOptions:\\n(A) 10 min.\\n(B) 41 min.\\n(C) 17 min.\\n(D) 23 min.\\n(E) 25 min.",
"from": "human"
},
{
"value": "The ratio is 2:3 = gym:ride, so (14)(3/2) = 21 minutes at the gym, and 21 + 14 = 35 minutes exercise, so (2/3)(35) = 23 minutes yoga.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Elaine?\\nOptions:\\n(A) 1,008\\n(B) 1,296\\n(C) 1,512\\n(D) 2*1008\\n(E) 2,268.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Place D and H first: 8 options for D, 7 options for H\\nWe are left with 6 empty places. A, B and C must take first 3 places and F, G, Emust take the remaining three. A, B and C can be arranged in their places in 3! ways. The same for F, G, and E\\nTotal = 8*7*3!*3! = 2*1008 Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "How many three digit numbers that do not contain the digit 2 are there?\\nOptions:\\n(A) 100\\n(B) 200\\n(C) 512\\n(D) 648\\n(E) 729 Stream of consciousness:",
"from": "human"
},
{
"value": "8*9*9 = 648: 8 options for the first digit (no 0, no 2) and 9 options for each of the remaining digits (no 2 there).\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 570 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\\nOptions:\\n(A) 8/3\\n(B) 3/8\\n(C) 38/15\\n(D) 5/8\\n(E) 5/3 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Distance traveled by Eddy = 570 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 570/3 = 190 km/hour\\nDistance traveled by Freddy = 300 km\\nTime taken by Freddy = 4 hours\\nAverage speed of Freddy = 300/4 = 75 km/hour\\nRatio of average speed of Eddy to Freddy = 190/75 = 38/15\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "You have a flashlight that takes 2 working batteries. You have 8 batteries but only 4 of them work.\\nWhat is the fewest number of pairs you need to test to guarantee you can get the flashlight on?\\nOptions:\\n(A) 5\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 4 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "If you break the batteries into 3 groups: Two groups of 3 and one group of 2. By doing this you guarantee that one of the groups has 2 working batteries. Both of the groups of 3 have 3 possible combinations of 2 batteries and the group of 2 only has 1 combination. So, 3 + 3 + 1 = 7 tries at most to find two working batteries.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: What is the sum of all the composite numbers up to 20?\\nOptions:\\n(A) 130\\n(B) 132\\n(C) 124\\n(D) 145\\n(E) 166.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. P and Q invested in a shop. The profits were divided in the ratio of 2 : 4 respectively. If P invested Rs. 500000, the amount invested by Q is:\\nOptions:\\n(A) 5000000\\n(B) 4000000\\n(C) 1000000\\n(D) 6000000\\n(E) None",
"from": "human"
},
{
"value": "Suppose Q invested Rs. y. Then, 500000/y = 2/4 or y = [500000 x 4 / 2] = 1000000.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 8 businessmen, how many possible team submissions are possible?\\nOptions:\\n(A) 76\\n(B) 100\\n(C) 164\\n(D) 198\\n(E) 202 Random thoughts:",
"from": "human"
},
{
"value": "We have 3 scenarios here:\\n1) 1 tech2 businessmen: 4C1 x 8C2 = 112\\n2) 2 tech1 businessman: 4C2 x 8C1 = 48\\n3) 3 tech0 businessmen: 4C3 = 4\\nTotal: 112+48+4 = 164 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word ‘DIVIDED’ be arranged?\\nOptions:\\n(A) 250\\n(B) 280\\n(C) 300\\n(D) 420\\n(E) 360 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420 So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A bank lent $250 to a customer for a one-month loan. At the end of the month, the bank received y dollars more than than the amount that was lent due to interest. The bank also charged a service fee $5. In terms of y, what fraction of the amount that the bank received was the service fee?\\nOptions:\\n(A) 5/(255+y) \\n(B) 5y-1\\n(C) 5y/(250-y) \\n(D) 5/(250-y) \\n(E) 5y-250",
"from": "human"
},
{
"value": "The amount of money the bank received was (250 + 5+ y) dollars. The $5 service fee as a fraction of the amount received was, therefore, 5/(255+y).\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The inverse ratio of 3: 2: 1 is?\\nOptions:\\n(A) 2:9:5\\n(B) 2:3:0\\n(C) 2:3:5\\n(D) 2:3:6\\n(E) 2:3:1",
"from": "human"
},
{
"value": "1/3: 1/2: 1/1 = 2:3:6\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. 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? Look at this series: 120, 30, 240, 25, ___, 20, 480, 15... Which number is missing?\\nOptions:\\n(A) 120\\n(B) 360\\n(C) 340\\n(D) 960\\n(E) 280",
"from": "human"
},
{
"value": "B 360\\nThis is an alternating addition and subtraction series. In the first pattern, 120 is added to each number to arrive at the next. In the second, 5 is subtracted from each number to arrive at the next. So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?\\nOptions:\\n(A) 288\\n(B) 125\\n(C) 88\\n(D) 76\\n(E) 232 Random thoughts:",
"from": "human"
},
{
"value": "D = 90 * 5/18 * 5 = 125 m The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The average of 15 result is 60. Average of the first 10 of them is 10 and that of the last 10 is 80. Find the 8th result?\\nOptions:\\n(A) 35\\n(B) 200\\n(C) 150\\n(D) 250\\n(E) 300",
"from": "human"
},
{
"value": "Sum of all the 13 results = 15 * 60 = 900\\nSum of the first 7 of them = 10 * 10 = 100\\nSum of the last 7 of them = 10 * 80 = 800\\nSo, the 8th number = 900 + 100 - 800 = 200.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A BOWLER CAN TAKE MAX. 3WICKETS IN A OVER.IF HE BOWLS 6OVERS IN AN INNINGS, HOW MANY MAXIMUM WICKETS CAN HE TAKE?\\nOptions:\\n(A) 8\\n(B) 9\\n(C) 11\\n(D) 7\\n(E) 10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "10 because after 10 wickets, the innings is complet\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "How much is 80% of 60 is greater than 4/5 of 25?\\nOptions:\\n(A) 15\\n(B) 28\\n(C) 16\\n(D) 12\\n(E) 73 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(80/100) * 60 – (4/5) * 25\\n48 - 20 = 28\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. what percent of the families in City X owned a personal computer in 1998?\\nOptions:\\n(A) 50%\\n(B) 52%\\n(C) 56%\\n(D) 70%\\n(E) 74% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Say a 100 families existed in 1994 then the number of families owning a computer in 1994 - 40\\nNumber of families owning computer in 1998 = 40 * 130/100 = 52\\nNumber of families in 1998 = 104\\nThe percentage = 52/104 * 100 = 50%. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The compound ratio of 2/3, 6/7, 1/3 and 3/8 is given by?\\nOptions:\\n(A) 7/98\\n(B) 1/48\\n(C) 1/98\\n(D) 1/96\\n(E) 3/42 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "2/3 * 6/7 * 1/3 * 3/8 = 36/504 = 3/42 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?\\nOptions:\\n(A) 120 m\\n(B) 100 m\\n(C) 324 m\\n(D) Cannot be determined\\n(E) None of these",
"from": "human"
},
{
"value": "Speed = 60* 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 6 = 100 m\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office.\\nOptions:\\n(A) 1⁄2 hr\\n(B) 1 hr\\n(C) 3⁄4 hr\\n(D) 2 hrs\\n(E) None of these Random thoughts:",
"from": "human"
},
{
"value": "If new speed is a⁄b of original speed, then usual time × (b⁄a - 1) = change in time\\n∴ usual time × (4⁄3 - 1) = 1⁄3\\n⇒ usual time = 1⁄3 × 3 = 1 hr The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, 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) 26\\n(D) 24\\n(E) 30",
"from": "human"
},
{
"value": "Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 and will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "If the cost price of 50 articles is equal to the selling price of 30 articles, then the gain or loss percent is?\\nOptions:\\n(A) 16\\n(B) 127\\n(C) 12\\n(D) 18\\n(E) 67 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Percentage of profit = 20/30 * 100 = 67%\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?\\nOptions:\\n(A) 6\\n(B) 8\\n(C) 10\\n(D) 12\\n(E) 15 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "If students are A, B, C, D, E and F; we can have 6C3 groups in all. However, if we have to count groups in which a particular student (say A) is always selected we would get 5C2 = 10 ways of doing it. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?\\nOptions:\\n(A) 240 meters\\n(B) 260 meters\\n(C) 420 meters\\n(D) 600 meters\\n(E) Cannot be determined",
"from": "human"
},
{
"value": "Speed of the train in metres/sec = 72000/3600 = 20\\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\\nDistance travelled by train to cross the man = 17 * 20 = 340 = Length of train\\nLength of platform = 600 - 340 = 260 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the 100th place digit of a number forming from digits 1 to 9 without repeatation and number passes the divisibility test of 11 means difference of sum of alternative digits is 0 or divisible by 11.\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Largest no is 987652413\\nSo digit will be 4 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train 600 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 170 meters long is?\\nOptions:\\n(A) 287 sec\\n(B) 288 sec\\n(C) 55 sec\\n(D) 16 sec\\n(E) 17 sec Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "D = 600 + 170 = 770\\nS = 50 * 5/18 = 14 mps\\nT = 770/14 = 55 se\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A printer print a page in 4 second,approx how long time it will take to print 190 page report?\\nOptions:\\n(A) 12 Min 40 Sec\\n(B) 14 Min 40 Sec\\n(C) 16 Min 40 Sec\\n(D) 18 Min 40 Sec\\n(E) 11 Min 40 Sec OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "1 Page = 4 Sec\\n30 Page = 120 Sec (2 Min)\\n190 Page = 12 Min 40 Sec The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: The inverse ratio of 3: 6: 1 is?\\nOptions:\\n(A) 2:3:7\\n(B) 2:3:9\\n(C) 2:1:6\\n(D) 2:3:6\\n(E) 2:3:1.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1/3: 1/6: 1/1 = 2:1:6 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A cricket bat is sold for $900, making a profit of $300. The profit percentage would be\\nOptions:\\n(A) 24%\\n(B) 25%\\n(C) 30%\\n(D) 50%\\n(E) 40%",
"from": "human"
},
{
"value": "300/(900 - 300) = 50%. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A no.when divided by 224 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) 11\\n(E) 12 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "224 + 43 = 267/17 = 12 (Remainder) The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?\\nOptions:\\n(A) 30 days\\n(B) 35 days\\n(C) 25 days\\n(D) 27 days\\n(E) 29 days Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "1/50 + 1/75 = 5/150\\n30/1 = 30 days\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?\\nOptions:\\n(A) 89 kmph\\n(B) 92 kmph\\n(C) 90 kmph\\n(D) 65 kmph\\n(E) 77 kmph Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "S = (120 + 60)/2 = 90 kmph So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?\\nOptions:\\n(A) 228\\n(B) 108\\n(C) 1266\\n(D) 75\\n(E) 211 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "S = 250/12 * 18/5 = 75kmph So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A can do a piece of work in 30 days while B can do it in 40 days. In how many days will they finish it together?\\nOptions:\\n(A) 120/7\\n(B) 95/8\\n(C) 123/9\\n(D) 150/7\\n(E) None",
"from": "human"
},
{
"value": "1/30 + 1/40 = 7/120\\nBoth can finish the work in 120/7 days So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The squared value of the diagonal of a rectangle is (64 + B2) sq cm, where B is less than 8 cm. What is the breadth of that rectangle?\\nOptions:\\n(A) 6 cm\\n(B) 10 cm\\n(C) 8 cm\\n(D) Data inadequate\\n(E) None of these Stream of consciousness:",
"from": "human"
},
{
"value": "Diagonal2 = 64 + B2 or, 10(2) = 64 + 6(2)\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Two numbers are in the ratio 3 : 4. If the sum of numbers is 63, find the numbers.\\nOptions:\\n(A) 26,37\\n(B) 25,38\\n(C) 27,36\\n(D) 28,35\\n(E) 29,34",
"from": "human"
},
{
"value": "Sum of the terms of the ratio = 3 + 4 = 7\\nSum of numbers = 63\\nTherefore, first number = 3/7 × 63 = 27\\nSecond number = 4/7 × 63 = 36\\nTherefore, the two numbers are 27 and 36.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: The average mark obtained by 22 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\\nOptions:\\n(A) 2\\n(B) 0\\n(C) 9\\n(D) 8\\n(E) 6.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "It is clear that 22 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 0 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the odd man out\\n74, 24, 82, 61, 10, 4\\nOptions:\\n(A) 61\\n(B) 24\\n(C) 10\\n(D) 82\\n(E) 74.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "61 is the only odd number in the series. Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 5 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 12\\n(B) 5\\n(C) 6\\n(D) 8\\n(E) 9",
"from": "human"
},
{
"value": "Work done by X in 1 day = 1/18\\nWork done by Y in 1 day = 1/15\\nWork done by Y in 5 days = 5/15 = 1/3\\nRemaining work = 1 – 1/3 = 2/3\\nNumber of days in which X can finish the remaining work = (2/3) / (1/18) = 12 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: The average of seven numbers is 15. 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) 6\\n(B) 29\\n(C) 31\\n(D) 34\\n(E) 35.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "The total of seven numbers = 7X15 = 105\\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\\nSo, the middle number is (105 - 99 ) = 6 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $20 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) $400m\\n(E) $153m\nSome stream of consciousness:",
"from": "human"
},
{
"value": "20/100*1/4*(total) = 20\\n1/20*(total) = 20\\n(total) = 20*20 = 400 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.\\nOptions:\\n(A) 85 ÷ 17 × 110\\n(B) 45 × 6 + 75 × 4\\n(C) 175 ÷ 25 × 75 + 5(2) \\n(D) 36 × 4 + 21(2) – 7 × 5\\n(E) 65 × 12 – 46 × 5\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Except it, others are equal to 550. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The price of a T.V. set worth Rs. 70000 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) 22678\\n(B) 26699\\n(C) 69000\\n(D) 19000\\n(E) 26711 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 1000\\nBalance payment = (70000 - 1000) = Rs. 69000\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?\\nOptions:\\n(A) 1 1⁄2 minutes\\n(B) 3 1⁄2 minutes\\n(C) 3 3⁄5 minutes\\n(D) 4 1⁄4 minutes\\n(E) None of these.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1 minute’s work of both the punctures = (1⁄9 + 1⁄6) = 5⁄18\\nSo, both the punctures will make the tyre flat in 18⁄5 = 33⁄5 min. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "In a race with 30 runners where 8 trophies will be given to the top 8 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\\nOptions:\\n(A) 8^8 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": "8 people can be prized with 8 distinct prizes in 8^8 ways The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?\\nOptions:\\n(A) 15\\n(B) 14\\n(C) 17\\n(D) 12\\n(E) 19",
"from": "human"
},
{
"value": "This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Which one of the following is a prime number?\\nOptions:\\n(A) 10\\n(B) 61\\n(C) 49\\n(D) 75\\n(E) 91",
"from": "human"
},
{
"value": "61 is divisible by 1, and itself. So, it is a prime number.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\\nHow many diamonds did they steal in total?\\nOptions:\\n(A) 1961\\n(B) 1981\\n(C) 1991\\n(D) 1971\\n(E) None of the above Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 2 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?\\nOptions:\\n(A) 3.\\n(B) 7.\\n(C) 10.\\n(D) 12.\\n(E) 15. Random thoughts:",
"from": "human"
},
{
"value": "Time taken by the birds to meet = 15/(2 + 1) = 5 mins\\nDistance traveled by the bird traveling from West-Town = 2 * 5 = 10 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. If 80 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\\nOptions:\\n(A) 60 %\\n(B) 65 %\\n(C) 70%\\n(D) 75%\\n(E) 80%",
"from": "human"
},
{
"value": "{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\\n100 = 80 + 75 - {Both correctly} + 5\\n{Both correctly} = 60.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\\nOptions:\\n(A) 26\\n(B) 45\\n(C) 90\\n(D) 80\\n(E) 65 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "It is clear that 23 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 45 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The speed of a boat in still water is 40kmph 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) 20 kmph\\n(D) 15 kmph\\n(E) 23 kmph",
"from": "human"
},
{
"value": "Speed downstream = 40 + 20 = 60 kmph\\nSpeed upstream = 40 - 20 = 20 kmph\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\\nOptions:\\n(A) 55\\n(B) 56\\n(C) 57\\n(D) 58\\n(E) 59 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 50 = 550\\n1 to 5 = 5 * 49 = 245\\n5 to 11 = 7 * 52 = 364\\n5th = 245 + 364 – 550 = 59\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the wrong number below mentioned series\\n7,30,80,250,550\\nOptions:\\n(A) 7\\n(B) 30\\n(C) 80\\n(D) 250\\n(E) 550\nSome stream of consciousness:",
"from": "human"
},
{
"value": "7 is the only prime number or odd number in the series. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).\\nOptions:\\n(A) 7\\n(B) 6\\n(C) 9\\n(D) 8\\n(E) 10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The question is not written in proper manner but we can work in 3 methods\\n1) If these are random handshakes, then total methods = 10*9/2*1 = 45\\n2) If these are cyclic handshakes, then total methods = 10\\n3) If these persons are not cyclic but they are arranged in a straight bench, then number of methods = 9\nThus, the answer is (C).",
"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) 22678\\n(B) 26699\\n(C) 26788\\n(D) 19000\\n(E) 26711 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 1000\\nBalance payment = (20000 - 1000) = Rs. 19000\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "There are 10 flavors of ice cream, 3 types of nuts and 5 types of fruit at an ice cream store. If a person can choose 2 ice cream flavors as base, 2 types of nuts and 2 types of fruit. How many different variations are possible if repetition is allowed ?\\nOptions:\\n(A) 150\\n(B) 250\\n(C) 22500\\n(D) 225\\n(E) 225000 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Ice cream flavors: 10x10 = 100\\nNuts: 3x3 = 9\\nFruit: 5x5 = 25\\nTotal = 22500 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 5 years the amount to be paid is?\\nOptions:\\n(A) 3377\\n(B) 2688\\n(C) 2688\\n(D) 9125\\n(E) 1268",
"from": "human"
},
{
"value": "A = 7500(26/25)^5 = 9125\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: If a man can cover 18 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 243 km\\n(B) 162 km\\n(C) 1767 km\\n(D) 1887 km\\n(E) 177 km.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "18 m/s = 18 * 18/5 kmph\\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 18 * 18/5 * 15/4 km = 243 km. Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: How much 60% of 50 is greater than 50% of 30?\\nOptions:\\n(A) 18\\n(B) 91\\n(C) 11\\n(D) 17\\n(E) 15 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "(60/100) * 50 – (50/100) * 30\\n30 - 15 = 15\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 80 as remainder. Find the no. is?\\nOptions:\\n(A) 220880\\n(B) 145778\\n(C) 220081\\n(D) 220080\\n(E) 220030 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 80 = 220000 + 80 = 220080\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: John makes $60 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?\\nOptions:\\n(A) 16.12%\\n(B) 25%\\n(C) 16.56%\\n(D) 17.66%\\n(E) 18.1%.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Increase = (15/60)*100 = (1/4)*100 = 25%. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "From the set of numbers x, y, t, z and w, how many different combinations can we have without the t and z in them? Ex:. (x,y), (x), (w,y,x), etc and (x,y)=(y,x)\\nOptions:\\n(A) 6\\n(B) 14\\n(C) 15\\n(D) 16\\n(E) 30 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Another way: Any letter (x, y, w) can be included or not. So, we have 2^3 combinations - 2 empty combination = 6 combinations The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A?\\nOptions:\\n(A) 8500\\n(B) 3500\\n(C) 4500\\n(D) 5000\\n(E) 1500",
"from": "human"
},
{
"value": "(A + B) - (B + C) = 5000\\nA - C = 5000\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "How many prime numbers between 1 and 100 are factors of 7150?\\nOptions:\\n(A) 238\\n(B) 100\\n(C) 299\\n(D) 270\\n(E) 111 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Ans: 7, 150 = 2×52×11×13\\nSo there are 4 distinct prime numbers that are below 100\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 12 minutes, how much time will she spend doing yoga? (rounded to minutes)\\nOptions:\\n(A) 10 min.\\n(B) 41 min.\\n(C) 17 min.\\n(D) 23 min.\\n(E) 20 min. Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The ratio is 2:3 = gym:ride, so (12)(3/2) = 18 minutes at the gym, and 18 + 12 = 30 minutes exercise, so (2/3)(30) = 20 minutes yoga.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?\\nOptions:\\n(A) 3/11\\n(B) 2/11\\n(C) 1/11\\n(D) 4/11\\n(E) 1/11 Stream of consciousness:",
"from": "human"
},
{
"value": "Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\\nPart filled by A in 3 minutes = 3/30\\nRequired ratio = 3/30 * 20/11 = 2/11\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: A shipment of 8 TV sets contains 1 black and white sets and 7 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) 13/28 Random thoughts:",
"from": "human"
},
{
"value": "7/8 * 6/7 = 3/4\\n1-(3/4) = 1/4 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =\\nOptions:\\n(A) 40320\\n(B) 27720\\n(C) 20160\\n(D) 6720\\n(E) 2520 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The integer should be divisible by: 4, 5, 6, 7, 8, 9, 10, 11 and 12, that is 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 3*2^2. The least common multiple of these integers is the product of 11, 7, 5, 3^2 and 2^3. Then, M/11 is (11 * 7 * 5 * 3^2 * 2^3)/11 = 7*5*9*8 = 2520. So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A 21 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\\nOptions:\\n(A) 12\\n(B) 6\\n(C) 88\\n(D) 77\\n(E) 14",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 21 = 6 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: 1500 is increased by 20%. Find the final number.\\nOptions:\\n(A) 1500\\n(B) 1800.\\n(C) 1900\\n(D) 1700\\n(E) 1660 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Final number = Initial number + 20%(original number) = 1500 + 20%(1500) = 1500 + 300 = 1800. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?\\nOptions:\\n(A) Black\\n(B) White\\n(C) Red\\n(D) Blue\\n(E) None.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "This question is based on bear on poles so it should be polo bear and the color of polo bear is white. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 9\\n(D) 5\\n(E) 8 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Work done by X in 1 day = 1/20\\nWork done by Y in 1 day = 1/16\\nWork done by Y in 12 days = 12/16 = 3/4\\nRemaining work = 1 – 3/4 = 1/4\\nNumber of days in which X can finish the remaining work = (1/4) / (1/20) = 5 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?\\nOptions:\\n(A) Sunday\\n(B) Wednesday\\n(C) Friday\\n(D) Monday\\n(E) Tuesday",
"from": "human"
},
{
"value": "There are 2 odd days in the year 2004\\nSo, the day on 21th January 2005 will be two days beyond the day on 21th January 2004\\nOn 21th January 2004, it was Wednesday So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In a race with 30 runners where 5 trophies will be given to the top 9 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\\nOptions:\\n(A) 9^5 ways\\n(B) 8^9 ways\\n(C) 7^8 ways\\n(D) 8^7 ways\\n(E) 8^6 ways Stream of consciousness:",
"from": "human"
},
{
"value": "9 people can be prized with 5 distinct prizes in 9^5 ways\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream\\nOptions:\\n(A) 6 kmph\\n(B) 5 kmph\\n(C) 2 kmph\\n(D) 3 kmph\\n(E) 4 kmph.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Speed upstream = 49/7 = 7 kmph\\nSpeed down stream = 77/7 = 11kmph\\nSpeed of stream = ½ (11-7) = 2 kmph Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 40, 68 kmph\\n(B) 110, 70 kmph\\n(C) 90, 60 kmph\\n(D) 40, 60 kmph\\n(E) 20, 60 kmph Random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = 90 + 20 = 110 kmph\\nSpeed upstream = 90 - 20 = 70 kmph The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Which of the following numbers is divisible by 11?\\nOptions:\\n(A) 4424\\n(B) 2232\\n(C) 1522\\n(D) 8524\\n(E) 9515\nSome stream of consciousness:",
"from": "human"
},
{
"value": "9515. This is the only option with last two digits divisible by 11 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "How many 5 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 repetition is allowed?\\nOptions:\\n(A) 3441\\n(B) 3433\\n(C) 3333\\n(D) 3430\\n(E) 3773 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Vowel: E O\\nConsonants: V R M N T\\nFirst letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)\\nFifth letter can be filled in 5 Ways ( As the question states that the last letter has to be a consonant)\\nSecond letter can be filled in 7 Ways\\nThird letter can be filled in 7 Ways\\nFourth letter can be filled in 7 Ways\\nSo, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430 So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.68 per litre then what is the rate of mixed oil per litre?\\nOptions:\\n(A) Rs.49.17\\n(B) Rs.51.03\\n(C) Rs.56\\n(D) Rs.55.33\\n(E) None of the above Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "50*10 = 500\\n68*5 = 340\\n840/15 = 56\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?\\nOptions:\\n(A) 85\\n(B) 97\\n(C) 109\\n(D) 178\\n(E) 112\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Answer: Option D\\nThis is an alternating division and addition series: First, divide by 2, and then add 8. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The edge of a cube is 3a cm. Find its surface?\\nOptions:\\n(A) 64a2 cm2\\n(B) 54a2 cm2\\n(C) 84a2 cm2\\n(D) 24a2 cm2\\n(E) 34a2 cm2",
"from": "human"
},
{
"value": "6a2 = 6 * 3a * 3a = 54a2\nThe answer: (B).",
"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 all the four bulbs are defective.\\nOptions:\\n(A) 62/63\\n(B) 125/126\\n(C) 1/63\\n(D) 1/42\\n(E) 1/126 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Answer: Option E\\nOut of nine, five are good and four are defective. Required probability = â´câ‚„/â¹câ‚„ = 1/126 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "X can finish a work in 36 days. Y can finish the same work in 24 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 12\\n(B) 13\\n(C) 16\\n(D) 17\\n(E) 18 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Work done by X in 1 day = 1/36\\nWork done by Y in 1 day = 1/24\\nWork done by Y in 12 days = 12/24 = 1/2\\nRemaining work = 1 – 1/2 = 1/2\\nNumber of days in which X can finish the remaining work = (1/2) / (1/36) = 18\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Express 35 mps in kmph?\\nOptions:\\n(A) 122\\n(B) 188\\n(C) 126\\n(D) 140\\n(E) 124\nSome stream of consciousness:",
"from": "human"
},
{
"value": "35 * 18/5 = 126 kmph The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage?\\nOptions:\\n(A) 25%\\n(B) 18%\\n(C) 20%\\n(D) 40%\\n(E) 45% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "100(1000-800)/800 = 25%\\nProfit percentage = 25% So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be\\nOptions:\\n(A) 15%\\n(B) 25%\\n(C) 35%\\n(D) 40%\\n(E) 45% Stream of consciousness:",
"from": "human"
},
{
"value": "Cost price of article = 48$\\n% of overhead cost = 20\\nNet profit = 12 $\\nWe need to calculate % markup\\nNet profit as % of cost price = (12/48)*100 = 25%\\nTotal markup should be = 25 + 20 = 45%\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A class consists of 100 students, 30 of them are girls and 70 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\\nOptions:\\n(A) 3/125\\n(B) 1/59\\n(C) 1/56\\n(D) 1/54\\n(E) 1/53 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "The probability of selecting girl is: 30/100 = 3/10\\nThe probability of selecting rich is: 20/100 = 1/5\\nThe probability of selecting fair complexioned is: 40/100 = 2/5\\nThree are independent;probability of rich and fair complexioned girl is:\\n(3/10) ×(1/5) × (2/5) = 3/125 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The compound ratio of 2/5, 6/7, 1/3 and 1/8 is given by?\\nOptions:\\n(A) 7/98\\n(B) 1/70\\n(C) 1/98\\n(D) 1/96\\n(E) 1/68 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "2/5 * 6/7 * 1/3 * 1/8 = 12/840 = 1/70\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?\\nOptions:\\n(A) 12.\\n(B) 9.\\n(C) 8.\\n(D) 7.\\n(E) 6. Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "7 = 3 blue balls + 12 / 3 The final answer: (D).",
"from": "gpt"
}
] |
Subsets and Splits