conversations
list |
|---|
[
{
"value": "Some question: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?\\nOptions:\\n(A) -3⁄2 < x < 1\\n(B) -1 < x < 3⁄2\\n(C) x > 1\\n(D) x < -2⁄5\\n(E) None of these\nSome stream of consciousness:",
"from": "human"
},
{
"value": "2x2 + x – 3 < 0\\n⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A single discount equivalent to the discount series of 20%, 10% and 25% is?\\nOptions:\\n(A) 31.9\\n(B) 31.7\\n(C) 31.6\\n(D) 31.5\\n(E) 46 Stream of consciousness:",
"from": "human"
},
{
"value": "100*(80/100)*(90/100)*(75/100) = 54\\n100 - 54 = 46\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\\nOptions:\\n(A) 2m −1\\n(B) 3m\\n(C) 6m\\n(D) m/5\\n(E) 6m/5 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "8m - n = p\\nAdd n to both sides:\\n8m = n + p\\nAdd m to both sides:\\n9m = n + p + m\\nNow, divide both sides by 3\\n3m = (n + p + m)/3 = the average of n, p, and m\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 10 km/hr downstream and 4 km/hr upstream.\\nOptions:\\n(A) 7 kmph\\n(B) 8 kmph\\n(C) 9 kmph\\n(D) 7 kmph\\n(E) 6 kmph OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Speed in still water = (10 + 4)1/2 kmph = 7 kmph. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in\\nOptions:\\n(A) 2 days\\n(B) 1 day\\n(C) 4 days\\n(D) 3 days\\n(E) 2 1/5 days.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m\\nNo. of days required to paint 36 m cloth by 6 women = 36/ 6 × 6 = 1 day. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.\\nOptions:\\n(A) 25 km/h\\n(B) 40 km/h\\n(C) 45 km/h\\n(D) 36.5 km/h\\n(E) None of these Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Let original speed = S km/h\\nHere, distance to be covered is constant\\n∴ S × 8 = (S + 5)(20⁄3)\\n⇒ 8S - 20⁄3S = 100⁄3 ⇒ S = 100⁄4 = 25 km/h So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find a a prime number from the options below.\\nOptions:\\n(A) 69\\n(B) 70\\n(C) 71\\n(D) 72\\n(E) 74 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Clearly, 71 is a prime number. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.\\nOptions:\\n(A) 225 cm2\\n(B) 275 cm2\\n(C) 285 cm2\\n(D) 315 cm2\\n(E) None of these Stream of consciousness:",
"from": "human"
},
{
"value": "Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The number N is 5,H64, where H represents the hundred's digit. If N is divisible by 4, what is the value of H?\\nOptions:\\n(A) 0\\n(B) 1\\n(C) 2\\n(D) 5\\n(E) All the above value OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "If the number is divisible by 4, the last two digits must be divisible by 4. All the values yields such a number. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The average of first four prime numbers greater than 10 is?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 15\\n(D) 40\\n(E) 50 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "11 + 13 + 17 + 19 = 60/4 = 15\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: At what rate percent on simple interest will a sum of money double itself in 30 years?\\nOptions:\\n(A) 3 1/3%\\n(B) 3 1/8%\\n(C) 3 6/3%\\n(D) 9 1/3%\\n(E) 3 3/3% Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "P = (P*30*R)/100\\nR = 3 1/3% The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: In what time a sum of money double itself at 8% per annum simple interest?\\nOptions:\\n(A) 33 1/8%\\n(B) 33 1/3%\\n(C) 33 7/3%\\n(D) 32 1/3%\\n(E) 12 1/2%.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "P = (P*8*R)/100\\nR = 12 1/2% Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "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 6 businessmen, how many possible team submissions are possible?\\nOptions:\\n(A) 76\\n(B) 100\\n(C) 162\\n(D) 198\\n(E) 202 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "We have 3 scenarios here:\\n1) 1 tech2 businessmen: 4C1 x 6C2 = 60\\n2) 2 tech1 businessman: 4C2 x 6C1 = 36\\n3) 3 tech0 businessmen: 4C3 = 4\\nTotal: 60+36+4 = 100\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "what is the next no. 4 12 84\\nOptions:\\n(A) 632\\n(B) 732\\n(C) 832\\n(D) 850\\n(E) 902 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "3^0 + 3 = 4\\n3^2 + 3 = 12\\n3^4 + 3 = 84\\n3^6 + 3 = 732\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?\\nOptions:\\n(A) 15%\\n(B) 116%\\n(C) 136%\\n(D) 155%\\n(E) 160% Random thoughts:",
"from": "human"
},
{
"value": "Female students in 2005 = 30% of 40 = 12\\nFemale students in 2007 = 40% of 65 = 26\\nPercentage increase = [(26 - 12)/12] *100 % = 116% The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. 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 A?\\nOptions:\\n(A) 2277\\n(B) 3000\\n(C) 2682\\n(D) 7222\\n(E) 2682",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n100/247 * 7410 = 3000 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?\\nOptions:\\n(A) 338\\n(B) 277\\n(C) 350\\n(D) 881\\n(E) 271 Stream of consciousness:",
"from": "human"
},
{
"value": "D = 72 * 5/18 = 25 = 500 – 150 = 350\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?\\nOptions:\\n(A) 14\\n(B) 16\\n(C) 17\\n(D) 19\\n(E) 20.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Any combination of ten-dollar and five-dollar bills cannot add up to amount ending with 8. John has to use at least 3 one-dollar bills. To gather the rest, $125, John needs to use a minimum of 13 bills: 12 ten-dollar bills and 1 five-dollar bill. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "One red flower, three white flowers and two blue flowers are arranged in a line such that\\nI. No two adjacent flowers are of the same colour.\\nII. The flowers at the two ends of the line are of different colours.\\nIn how many different ways can the flowers be arranged?\\nOptions:\\n(A) 6\\n(B) 4\\n(C) 10\\n(D) 12\\n(E) 14 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: If n is an integer, then the least possible value of |15 - 8n| is?\\nOptions:\\n(A) 0\\n(B) 2\\n(C) 1\\n(D) 3\\n(E) 5.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "|15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.\\nIf she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3 min\\n(D) 4\\n(E) 5 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 4 days. In how many days can they complete the remaining work?\\nOptions:\\n(A) 6 days\\n(B) 2/3 days\\n(C) 8 days\\n(D) 3 days\\n(E) 9 days OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Work done by A in 4 days = 4/5\\nRemaining work = 1/5\\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\\nRemaining work = 1/5 * 10/3 = 2/3 days. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\\nOptions:\\n(A) 2287\\n(B) 2689\\n(C) 1667\\n(D) 8112\\n(E) 1691 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "A = 7500(26/25)2 = 8112\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?\\nOptions:\\n(A) 50\\n(B) 65\\n(C) 45\\n(D) 55\\n(E) 40 Stream of consciousness:",
"from": "human"
},
{
"value": "This is a simple multiplication series. Each number is 6 times greater than the previous number.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 65 sec\\n(B) 88 sec\\n(C) 25 sec\\n(D) 88 sec\\n(E) 55 sec Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "D = 100 + 150 = 250\\nS = 36 * 5/18 = 10 mps\\nT = 250/10 = 25 se\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The average of nine numbers is 17. The average of first four numbers is 20 and the average of last four numbers is 16. What is the middle number?\\nOptions:\\n(A) A) 7\\n(B) B) 8\\n(C) C) 9\\n(D) D) 10\\n(E) E) 11",
"from": "human"
},
{
"value": "The total of nine numbers = 9X17 = 153\\nThe total of first 4 and last 4 numbers is = 4 X 20+4 X 16 = 144\\nSo, the middle number is (153 - 144 ) = 9 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "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) 2205\\n(B) 8786\\n(C) 8275\\n(D) 2872\\n(E) 2282 Stream of consciousness:",
"from": "human"
},
{
"value": "A = 2000(21/20)2 = 2205\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?\\nOptions:\\n(A) 15%\\n(B) 50%\\n(C) 62.5%\\n(D) 115%\\n(E) 240% OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Female students in 2005 = 25% of 40 = 10\\nFemale students in 2007 = 40% of 85 = 34\\nPercentage increase = [(34- 10)/10] *100 % = 240% The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A train 240 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) 71 kmph\\n(E) 88 kmph",
"from": "human"
},
{
"value": "S = 240/16 * 18/5 = 54 kmph\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The price of a T.V. set worth Rs. 30000 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) 29000\\n(D) 19000\\n(E) 26711 Stream of consciousness:",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 1000\\nBalance payment = (30000 - 1000) = Rs. 29000\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A class consists of 100 students, 20 of them are girls and 80 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) 2/125\\n(B) 1/59\\n(C) 1/56\\n(D) 1/54\\n(E) 1/53 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The probability of selecting girl is: 20/100 = 1/5\\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(1/5) ×(1/5) × (2/5) = 2/125\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?\\nOptions:\\n(A) 66\\n(B) 291\\n(C) 26\\n(D) 29\\n(E) 11",
"from": "human"
},
{
"value": "If only 12 people shaked their hands, then total hand shakes are 12C212C2 = 66\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The pilot of a small aircraft uses 60 gallons of fuel to fly 300 miles. At this rate, how many gallons of fuel are needed for a 700 mile flight?\\nOptions:\\n(A) 140\\n(B) 155\\n(C) 160\\n(D) 170\\n(E) 175 Random thoughts:",
"from": "human"
},
{
"value": "Number of gallons of fuel per mile = 300 /60 = 5 gallons per mile\\nNumber of gallons of fuel for a 700 mile flight = 700/5 = 140 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 96, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 22\\n(D) 35\\n(E) 25 3/10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\\n(11K -1)/4 = 96\\n11K = 96 * 4 +1 = 384 +1 = 385\\nK = 385 / 11 = 35.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. 189. The inside dimensions of a rectangular wooden box\\nare 10 inches by 12 inches by 14 inches. A cylindrical\\ncanister is to be placed inside the box so that it stands\\nupright when the closed box rests on one of its six\\nfaces. Of all such canisters that could be used, what is\\nthe radius, in inches, of the one that has maximum\\nvolume?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 8",
"from": "human"
},
{
"value": "Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 14x12 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 12, so the radius will be 6.\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A family pays $800 per year for an insurance plan that pays 85 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.\\nOptions:\\n(A) $1,100\\n(B) $1,200\\n(C) $1,400\\n(D) $1,800\\n(E) $2,200 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Upfront payment for insurance plan = 800$\\nFamily needs to pay 15 % of first 1000 $ in expense = 150$\\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 150 = 950 $\\nTotal amount paid by insurance plan for first 1000 $ = 800 $\\nTotal amount paid by family will equal amount paid by plan when medical expense = 1100 $\\n(Since insurance plan will pay 100% of amount that exceeds 950$ )\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?\\nOptions:\\n(A) 200\\n(B) 230\\n(C) 504\\n(D) 250\\n(E) 260 Stream of consciousness:",
"from": "human"
},
{
"value": "9p3 = 9 × 8 × 7 = 504\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 33\\n(C) 88\\n(D) 66\\n(E) 09.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "S = (150 + 240)/42 = 390/42 * 18/5 = 33 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: The area of a triangle is with base 12m and height 5m?\\nOptions:\\n(A) 88 m2\\n(B) 30 m2\\n(C) 66 m2\\n(D) 77 m2\\n(E) 31 m2 Random thoughts:",
"from": "human"
},
{
"value": "1/2 * 12 * 5 = 30 m2 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The price of a T.V. set worth Rs. 8000 is to be paid in 20 installments of Rs. 750 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) 7250\\n(B) 7200\\n(C) 7820\\n(D) 6000\\n(E) 2799 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 750\\nBalance payment = (8000- 1000) = Rs. 7250 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following numbers is divisible by 9?\\nOptions:\\n(A) 23274\\n(B) 25181\\n(C) 31001\\n(D) 50123\\n(E) 11251 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "23274. This is the only option with last two digits divisible by 9 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?\\nOptions:\\n(A) 55053\\n(B) 50553\\n(C) 5553\\n(D) 40532\\n(E) 44258 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "120 * 456 + 333 = 55053 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?\\nOptions:\\n(A) helicopter man stop it\\n(B) you stop it\\n(C) man go to stop it.\\n(D) no idea\\n(E) data irrelevant Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "You ask the man of the merry-go-round to stop it. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How much 90% of 40 is greater than 80% of 30?\\nOptions:\\n(A) 12\\n(B) 14\\n(C) 16\\n(D) 17\\n(E) 18 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "(90/100) * 40 – (80/100) * 30\\n36 - 24 = 12\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A certain car uses 12 gallons of gasoline in traveling 360 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) 6\\n(D) 8\\n(E) 10 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "360/10 = 36. The difference is 36 - 30 = 6.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\\nOptions:\\n(A) 2^19\\n(B) 2^10\\n(C) 3 * 2^8\\n(D) 3 * 2^9\\n(E) 3 * 2^10",
"from": "human"
},
{
"value": "Fix the third coin as H. The remaining 19 coins have 2^19 outcomes. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Find a a prime number from below options?\\nOptions:\\n(A) 84\\n(B) 97\\n(C) 98\\n(D) 100\\n(E) 102",
"from": "human"
},
{
"value": "Clearly, 97 is a prime number.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?\\nOptions:\\n(A) 30 years\\n(B) 35 years\\n(C) 40 years\\n(D) 25 years\\n(E) 45 years Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Sum of thier ages is 70 in ratio 4:3\\nSo 40+30 gives us 70. Wich is 4:3 so, older guy is having 40.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a car is 90 km in the first hour and 42 km in the second hour. What is the average speed of the car?\\nOptions:\\n(A) 89 kmph\\n(B) 92 kmph\\n(C) 75 kmph\\n(D) 65 kmph\\n(E) 66 kmph OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "S = (90 + 42)/2 = 66 kmph The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Of the families in City X in 1991, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 20 percent greater than it was in 1991, and the total number of families in City X was 9 percent greater in 1993 than it was in 1991. what percent of the families in City X owned a personal computer in 1993?\\nOptions:\\n(A) 59%\\n(B) 55%\\n(C) 63%\\n(D) 66%\\n(E) 68% Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Say a 100 families existed in 1991 then the number of families owning a computer in 1991 - 60\\nNumber of families owning computer in 1993 = 60 * 120/100 = 72\\nNumber of families in 1993 = 109\\nThe percentage = 72/109 * 100 = 66%.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 16.66%\\n(C) 17.9%\\n(D) 18.12%\\n(E) 60% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Increase = (30/50)*100 = (3/5)*100 = 60%. So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "16,25,36,72,144,196,225\\nOptions:\\n(A) 36\\n(B) 196\\n(C) 225\\n(D) 144\\n(E) 72 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Each of the numbers except 72 is a perfect squar\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\\nOptions:\\n(A) 2^9\\n(B) 2^14\\n(C) 3 * 2^8\\n(D) 3 * 2^9\\n(E) 3 * 2^10\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Fix the third coin as H. The remaining 14 coins have 2^14 outcomes. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. An equity analyst needs to select 2 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 2 picks?\\nOptions:\\n(A) 20\\n(B) 30\\n(C) 10\\n(D) 40\\n(E) 80",
"from": "human"
},
{
"value": "Number of ways of choosing 2 stocks = 5C2\\nNumber of ways of ranking the chosen stocks = 2!\\nHence total ways of chosing and ranking = 5C2 * 2! = 20\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 28\\n(C) 299\\n(D) 277\\n(E) 21 Random thoughts:",
"from": "human"
},
{
"value": "S = (100 + 300)/45 = 400/45 * 18/5 = 32 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. How much more would Rs.20000 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) 887\\n(C) 299\\n(D) 277\\n(E) 200",
"from": "human"
},
{
"value": "20000(11/10)4 - 20000(6/5)2 = 482\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 15% 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) 24000\\n(C) 8000\\n(D) 10000\\n(E) None of these",
"from": "human"
},
{
"value": "Total expenditure = 40 + 25 + 15 + 15 = 95%\\nSaving = (100 - 95) = 5%\\n5/100 × Salary = 1200, Salary = 24000 Rs.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are moving at 50 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) 7 1/2 sec\\n(B) 2 sec\\n(C) 3 sec\\n(D) 5 sec\\n(E) 7 sec Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "70 + 50 = 120 * 5/18 = 100/3 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 3/100 = 15/2 = 7 ½ sec So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of first 13 even numbers is?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 14\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Sum of 13 even numbers = 13 * 14 = 110\\nAverage = 182/13 = 14 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?\\nOptions:\\n(A) 145646\\n(B) 236578\\n(C) 645353\\n(D) 456546\\n(E) 220040 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 40 = 220000 + 40 = 220040 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?\\nOptions:\\n(A) 3377\\n(B) 2688\\n(C) 2688\\n(D) 8774\\n(E) 1268 Stream of consciousness:",
"from": "human"
},
{
"value": "A = 7500(26/25)^4 = 8774\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: 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 510 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) 8/5\\n(D) 5/8\\n(E) 34/15 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Distance traveled by Eddy = 510 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 510/3 = 170 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 = 170/75 = 34/15 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Before lunch, a painter can paint a wall at a rate of r square feet per minute. The same painter, after lunch and a cup of coffee, can paint the same wall at a rate r + 1 square feet per minute, and the same wall would be finished in 30 seconds less time. What is the value of r?\\nOptions:\\n(A) 1/3\\n(B) 3\\n(C) 1/2\\n(D) 1\\n(E) 2 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Convert 30 seconds to 1/2 minute\\nEquation: 1/r = 1/(r + 1) + 1/2\\nPlug options into the equation:\\nD fits: 1/1 = 1/(1 + 1) + 1/2 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Interest Rate: 4% monthly Starting Balance: 124 Time Passed: 4 months How much interest has accrued if calculated as compound interest? What is the new total balance?\\nOptions:\\n(A) 21 & 145\\n(B) 22 & 146\\n(C) 23 & 145\\n(D) 20 & 140\\n(E) None Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Compound Interest: Total Balance = P(1 + R)T P = principle = starting balance = $124 R = interest rate = 4% T = time = 4 years Total balance = principle × (1 + interest rate)time = 124 × (1 + (4 / 100))4 = 145 Interest accrued = total balance - starting balance = 145 - 124 = 21\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: The average of first 18 even numbers is?\\nOptions:\\n(A) 19\\n(B) 18\\n(C) 16\\n(D) 11\\n(E) 17.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Sum of 18 even numbers = 18 * 19 = 342\\nAverage = 342/18 = 19 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In the following equation what value would come in place of question mark (?)?\\n5798 – ? = 7385 – 4632\\nOptions:\\n(A) 3225\\n(B) 2595\\n(C) 2775\\n(D) 3045\\n(E) None of these above OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "? = 5798 + 4632 – 7385 = 3045 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A wheel rotates 15 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?\\nOptions:\\n(A) 6 metre\\n(B) 12 metre\\n(C) 120 metre\\n(D) 315 metre\\n(E) 130 metre Random thoughts:",
"from": "human"
},
{
"value": "Number of times wheel moves in 1 hour = 15 * 60 = 900\\n:. Distance moves = (900 *35) cms = 31500 cms\\nIn metres = 315 metre The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "What will come in place of the x in the following Number series? 68, 36, 20, 12, 8, x\\nOptions:\\n(A) 6\\n(B) 4\\n(C) 2\\n(D) 1\\n(E) 0 Stream of consciousness:",
"from": "human"
},
{
"value": "68\\n68 / 2 + 2 = 36\\n36 / 2 + 2 = 20\\n20 / 2 + 2 = 12\\n12 / 2 + 2 = 8\\n8 / 2 + 2 = 6\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. How much more would Rs.20000 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) Rs.482\\n(B) Rs.424\\n(C) Rs.842\\n(D) Rs.512\\n(E) Rs.524",
"from": "human"
},
{
"value": "20000(11/10)4 - 20000(6/5)2 = 482\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?\\nOptions:\\n(A) $150\\n(B) $175\\n(C) $200\\n(D) $210\\n(E) $220 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Amount at end of 2 years = 240$\\nAmount at end of 5 years = 300$\\nDifference in amount for time period of 3 years = 60$\\nAnnual Interest earned = 60/3 = 20$\\nPrincipal amount invested at the beginning = 240 - 2*20 = 200$ So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?\\nOptions:\\n(A) Rs.1185\\n(B) Rs.1285\\n(C) Rs.1385\\n(D) Rs.1485\\n(E) Rs.1495 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "22/7 * 14 * 3/2 * 3/2 = 99 m2\\n99 * 15 = 1485\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 720\nSome stream of consciousness:",
"from": "human"
},
{
"value": "5C2 * 4C2 * 3C2 = 10*6*3 = 180. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?\\nOptions:\\n(A) 7\\n(B) 13\\n(C) 19\\n(D) 10\\n(E) None Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1/6 – 1/15 = 1/10\\nB can do the work in 10 days\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 125\\n(B) 627\\n(C) 153\\n(D) 721\\n(E) 159 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n850 * 18/100 = 153\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A = 10% of x, B = 10% of y, C = 10% of x + 10% of y. On the basis of the above equalities, what is true in the following?\\nOptions:\\n(A) A is equal to B\\n(B) A is greater than B\\n(C) B is greater than A\\n(D) Relation cannot be established between A and B\\n(E) None of these OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "The given information gives no indication regarding the comparison of x and y. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many metres will A beat C in a race of 400 metres?\\nOptions:\\n(A) 76 metres\\n(B) 80 metres\\n(C) 70 metres\\n(D) 84 metres\\n(E) None",
"from": "human"
},
{
"value": "A runs B runs C runs\\n600 metres race 600m 540 m\\n500 metres race 500 m 450m\\nCombing ratio A runs B runs C runs\\n300metres - 2700meters - 2430metres\\nUnitary A runs B runs C runs\\nMethod 400mtres - 360 metres - 324 metres\\n? A beats C by 400-324 = 76 metres. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?\\nOptions:\\n(A) 5/18\\n(B) 1/6\\n(C) 1/4\\n(D) 1/9\\n(E) 2/6.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "A's one day's work = 1/30\\nB's one day's work = 1/45\\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\\nThe part of the work completed in 5 days = 5 (1/18) = 5/18. Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Which is greater than 99?\\nOptions:\\n(A) 9\\n(B) 99\\n(C) 9.9\\n(D) 999\\n(E) 909",
"from": "human"
},
{
"value": "999 greater than 99. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "If 21 WOMen and 12 men can finish the work in 42 days.How many men should accompany 42 women to that the work will be completed in ten and half days???\\nOptions:\\n(A) 40\\n(B) 45\\n(C) 50\\n(D) 60\\n(E) 15 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "15 men using chain rul So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: A car traveled from San Diego to San Francisco at an average speed of 48 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..\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Let the time taken be = x\\nOne way distance = 48x\\nTotal distance traveled = 2 * 48x = 96x\\nTotal time taken = x + 2x = 3x\\nAverage speed = 96x/3x = 32 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The average of 11 results is 55, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 7\\n(D) 8\\n(E) 9 Stream of consciousness:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 55 = 605\\n1 to 5 = 5 * 49 = 245\\n5 to 11 = 7 * 52 = 364\\n5th = 245 + 364 – 605 = 4\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 360 m long?\\nOptions:\\n(A) 30 Seconds\\n(B) 22 Seconds\\n(C) 41 Seconds\\n(D) 24 Seconds\\n(E) 29 Seconds",
"from": "human"
},
{
"value": "30 Seconds\\nDistance travelled = 140 + 360m = 500m\\nSpeed = 60 * 5/8 = 50/3m\\nTime = 500 * 3/50 = 30 Seconds So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\\nOptions:\\n(A) 39/40\\n(B) 49/50\\n(C) 59/60\\n(D) 9/10\\n(E) 14/15 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\\nThe probability that she misses every shot = (prob that she misses from 40 yards)*(prob that she misses from 50 yards)*(prob that she misses from 60 yards)\\nProb that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3\\nThus the probability that she misses all shots = (1/5)*(1/4)*(1/3) = 1/60\\nThus the probability that she makes at least one shot = 1 - (1/60) = 59/60\nThus, the answer is (C).",
"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 12 seconds. Find the length of the train?\\nOptions:\\n(A) 150\\n(B) 872\\n(C) 287\\n(D) 200\\n(E) 212",
"from": "human"
},
{
"value": "Speed = 60*(5/18) m/sec = 50/3 m/sec\\nLength of Train (Distance) = Speed * Time\\n(50/3) * 12 = 200 meter\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14?\\nOptions:\\n(A) 16\\n(B) 17\\n(C) 18\\n(D) 19\\n(E) 20 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "142 + 110 = 252/14 = 18 (Remainder) The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?\\nOptions:\\n(A) 2 2/3\\n(B) 2 2/8\\n(C) 2 2/0\\n(D) 2 2/2\\n(E) 2 2/11 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Work done by all three of them in one day = 1/4 + 1/8 + 1/12 = 11/24\\nThe number of days required = 24/11 = 2 2/11 days.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A man rows his boat 75 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) 6 kmph\\n(C) 9 kmph\\n(D) 8 kmph\\n(E) 1 kmph Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Speed downstream = d/t = 75/(2 1/2) = 30 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (30 - 18)/2 = 6 kmph\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?\\nOptions:\\n(A) 24\\n(B) 120\\n(C) 625\\n(D) 720\\n(E) 1024",
"from": "human"
},
{
"value": "5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 340 m long?\\nOptions:\\n(A) 56 sec\\n(B) 42 sec\\n(C) 45 sec\\n(D) 48 sec\\n(E) 50 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 360 + 340 = 700 m\\nRequired time = 700 * 2/25 = 56 sec The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Find the product of the localvalue and absolutevalue of 1 in 20168?\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 151\\n(D) 120\\n(E) 140 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Local value of 1 = 1 x 100 = 100\\nPlace value of 1 = 1\\nThere fore = 1 x 100 = 100\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A car finishes a journey in nine hours at the speed of 80 km/hr. If the same distance is to be covered in six hours how much more speed does the car have to gain?\\nOptions:\\n(A) 8 km/hr\\n(B) 40 km/hr\\n(C) 12 km/hr\\n(D) 16 km/hr\\n(E) None of these Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Distance covered by the car = 80 × 9 = 720 km\\n\\ Speed = 720⁄6 = 120 km/hr\\n\\ Speed gain = 120 – 80 = 40 km/hr\nThe final answer: (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) 4 sec\\n(B) 5 sec\\n(C) 6 sec\\n(D) 7 sec\\n(E) 8 sec Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "70 + 80 = 150 * 5/18 = 125/3 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 3/125 = 6 se So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?\\nOptions:\\n(A) $3500\\n(B) $5000\\n(C) $4240\\n(D) $7000\\n(E) $10000 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Saving = (42-32)% of 42400 = 4240. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Calculate the largest 6 digit number which is exactly divisible by 55?\\nOptions:\\n(A) 999955\\n(B) 999900\\n(C) 999845\\n(D) 999790\\n(E) 999735",
"from": "human"
},
{
"value": "Largest 4 digit number is 999999\\nAfter doing 999999 ÷ 55 we get remainder 44\\nHence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\\nOptions:\\n(A) 4/5\\n(B) 1/4\\n(C) 3/10\\n(D) 1/5\\n(E) 1/10\nSome stream of consciousness:",
"from": "human"
},
{
"value": "10 + 10 + 55 = 75% 100 - 75 = 25% to all others The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?\\nOptions:\\n(A) $3500\\n(B) $5000\\n(C) $3150\\n(D) $7000\\n(E) $10000 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Saving = (40-33)% of 45000 = 3150.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?\\nOptions:\\n(A) 52\\n(B) 58\\n(C) 84\\n(D) 94\\n(E) 168 Stream of consciousness:",
"from": "human"
},
{
"value": "6x = 8y = 10z\\n3x = 4y = 5z\\n3(4*5) = 4(3*5) = 5(3*4)\\nAddition = 20+15+12 = 47\\nAnswer would be multiple of 47 which is 94\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\\nOptions:\\n(A) 1/19\\n(B) 1/11\\n(C) 1/12\\n(D) 1/17\\n(E) 1/14 Random thoughts:",
"from": "human"
},
{
"value": "A's 1 hour work = 1/4;\\n(B + C)'s 1 hour work = 1/3;\\n(A + C)'s 1 hour work = 1/2\\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\\nB's 1 hour work = (7/12 + 1/2) = 1/12\\nB alone will take 12 hours to do the work. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A train 560 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\\nOptions:\\n(A) 126 kmph\\n(B) 77 kmph\\n(C) 54 kmph\\n(D) 71 kmph\\n(E) 88 kmph Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "S = 560/16 * 18/5 = 126 kmph\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A train 500 meters long is running with a speed of 44 kmph. The time taken by it to cross a tunnel 230 meters long is?\\nOptions:\\n(A) 287 sec\\n(B) 288 sec\\n(C) 48 sec\\n(D) 61 sec\\n(E) 17 sec Stream of consciousness:",
"from": "human"
},
{
"value": "D = 500 + 230 = 730\\nS = 44 * 5/18 = 12 mps\\nT = 730/12 = 61 sec\nThus, the answer is (D).",
"from": "gpt"
}
] |
Subsets and Splits