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AlignmentLab-AI

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Alignment Lab Ai 38

[ { "value": "How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 28 sec\\n(B) 23 sec\\n(C) 24 sec\\n(D) 25 sec\\n(E) 26 sec Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "D = 110 + 150 = 260\\nS = 36 * 5/18 = 10 mps\\nT = 260/10 = 26 sec So the answer is (E).", "from": "gpt" } ]

[ { "value": "Question: A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\\nOptions:\\n(A) 40 sec\\n(B) 50 sec\\n(C) 44 sec\\n(D) 49 sec\\n(E) 28 sec Let's think first. Some random reasoning:", "from": "human" }, { "value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 210 + 140 = 350 m\\nRequired time = 350 * 2/25 = 28 sec The final answer: (E).", "from": "gpt" } ]

[ { "value": "A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?\\nOptions:\\n(A) 3\\n(B) 2 2/8\\n(C) 2 2/0\\n(D) 2 2/2\\n(E) 2 2/1 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Work done by all three of them in one day = 1/8 + 1/8 + 1/12 = 1/3\\nThe number of days required = 3 days. So, the answer is (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A family pays $800 per year for an insurance plan that pays 65 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) $1,000\\n(B) $1,200\\n(C) $1,400\\n(D) $1,500\\n(E) $2,200", "from": "human" }, { "value": "Upfront payment for insurance plan = 800$\\nFamily needs to pay 35 % of first 1000 $ in expense = 350$\\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350 = 1150 $\\nTotal amount paid by insurance plan for first 1000 $ = 800 $\\nTotal amount paid by family will equal amount paid by plan when medical expense = 1500 $\\n(Since insurance plan will pay 100% of amount that exceeds 1150$ )\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. A can do a job in 12 days and B can do it in 15 days. A and B working together will finish twice the amount of work in days?\\nOptions:\\n(A) 22 1/6\\n(B) 22 1/2\\n(C) 22 1/0\\n(D) 22 1/9\\n(E) 13 1/3", "from": "human" }, { "value": "1/12 + 1/15 = 9/60 = 3/20\\n20/3 = 20/3 *2 = 13 1/3 days So the final answer is (E).", "from": "gpt" } ]

[ { "value": "Question: A family pays $850 per year for an insurance plan that pays 80 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) $1,000\\n(B) $1,250\\n(C) $1,400\\n(D) $1,800\\n(E) $2,200 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Upfront payment for insurance plan = 850$\\nFamily needs to pay 20 % of first 1000 $ in expense = 200$\\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 850 + 200 = 1050 $\\nTotal amount paid by insurance plan for first 1000 $ = 850 $\\nTotal amount paid by family will equal amount paid by plan when medical expense = 1250 $\\n(Since insurance plan will pay 100% of amount that exceeds 1050$ ) The final answer: (B).", "from": "gpt" } ]

[ { "value": "Q: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?\\nOptions:\\n(A) 3\\n(B) 6\\n(C) 9\\n(D) 18\\n(E) 22 Let's give some random thoughts before answering.", "from": "human" }, { "value": "The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours\nTherefore, the answer is (B).", "from": "gpt" } ]

[ { "value": "John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 100%\\n(C) 17%\\n(D) 17.61%\\n(E) 17.56% Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Increase = (60/60)*100 = (6/6)*100 = 100%.\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.\\nOptions:\\n(A) 29\\n(B) 31\\n(C) 32\\n(D) 24\\n(E) 21 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "31. only the perfect squares between 1 to 1k The answer: (B).", "from": "gpt" } ]

[ { "value": "If P(A) = 2/15, P(B) = 7/15, and P(A ∪ B) = 16/15 Find P(A|B)\\nOptions:\\n(A) 1/2\\n(B) 16/7\\n(C) 3/2\\n(D) 4/5\\n(E) 4/7 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "P(A|B) = P(A ∪ B)/P(B)\\nP(A|B) = (16/15)/(7/15) = 16/7.\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "What is the greatest positive integer x such that 4^x is a factor of 64^10?\\nOptions:\\n(A) 5\\n(B) 9\\n(C) 10\\n(D) 20\\n(E) 30 Stream of consciousness:", "from": "human" }, { "value": "64^10 = (4^3)^10 = 4^30\nThus, the answer is (E).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.155. Find the unknown rate of two towels?\\nOptions:\\n(A) A) 400\\n(B) B) 450\\n(C) C) 500\\n(D) D) 550\\n(E) E) 600", "from": "human" }, { "value": "10 * 155 = 1550\\n3 * 100 + 5 * 150 = 1050\\n1550 – 1050 = 500 So the final answer is (C).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?\\nOptions:\\n(A) 3252\\n(B) 1365\\n(C) 5325\\n(D) 1432\\n(E) 1324", "from": "human" }, { "value": "11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!/11!x4! = 1365 ways. Ans:\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.170. Find the unknown rate of two towels?\\nOptions:\\n(A) A) 400\\n(B) B) 650\\n(C) C) 500\\n(D) D) 550\\n(E) E) 600 Stream of consciousness:", "from": "human" }, { "value": "10 * 170 = 1700\\n3 * 100 + 5 * 150 = 1050\\n1700 – 1050 = 650\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.1 km long?\\nOptions:\\n(A) 2 mins 14 sec\\n(B) 2 mins 34 sec\\n(C) 156 sec\\n(D) 134 sec\\n(E) 2 mins 44 sec Stream of consciousness:", "from": "human" }, { "value": "D = 25 * 60 + 1100 = 2600 m\\nT = 2600/60 * 18/5 = 156 se\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\\nOptions:\\n(A) 40\\n(B) 46\\n(C) 50\\n(D) 55\\n(E) 60", "from": "human" }, { "value": "8C3 [Select any four] -5C3 [Select all hard backs] = 46\nThe answer: (B).", "from": "gpt" } ]

[ { "value": "John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?\\nOptions:\\n(A) 15%\\n(B) 16.66%\\n(C) 17.8%\\n(D) 80%\\n(E) 21% Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Increase = (40/50)*100 = (4/5)*100 = 80%. So the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: Is 2 a prime number or a composite number?\\nOptions:\\n(A) prime number\\n(B) composite number\\n(C) both prime composite number\\n(D) Not prime composite number\\n(E) Don't Know Random thoughts:", "from": "human" }, { "value": "A Prime Number can be divided evenly only by 1 or itself\\nSo 2 is prime number The final answer: (A).", "from": "gpt" } ]

[ { "value": "The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.\\nOptions:\\n(A) 259200 cm3\\n(B) 86400 cm3\\n(C) 720 cm3\\n(D) Cannot be determined\\n(E) None of these Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Volume of the box = √120×72×60 = 720 cm3\nSo, the answer is (C).", "from": "gpt" } ]

[ { "value": "The average age of a class of 12 students is 8 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\\nOptions:\\n(A) 30 Years\\n(B) 31 Years\\n(C) 21 Years\\n(D) 34 Years\\n(E) 49 Years Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Total age of students is 12X8 = 96 Years\\nTotal age inclusive of teacher = 13X (8+1) = 117\\nSo, Teacher's age is 117-96 = 21 Yrs\\nThere is a shortcut for these type of problems\\nTeacher's age is 8+(13X1) = 21 Years\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "Question: What amount does Kiran get if he invests Rs. 18000 at 12% p.a. simple interest for four years?\\nOptions:\\n(A) 29893\\n(B) 26640\\n(C) 29989\\n(D) 28800\\n(E) 29883 Random thoughts:", "from": "human" }, { "value": "Simple interest = (18000 * 4 * 12)/100 = Rs. 8640\\nAmount = P + I = 18000 + 8640 = Rs. 26640 The final answer: (B).", "from": "gpt" } ]

[ { "value": "A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\\nOptions:\\n(A) 4 min\\n(B) 8 min\\n(C) 9 min\\n(D) 6 min\\n(E) 1 min Stream of consciousness:", "from": "human" }, { "value": "S = 600/40 = 15 mps\\nS = 3600/15 = 240 sec = 4 min\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?\\nOptions:\\n(A) mnx\\n(B) m⁄n\\n(C) mx⁄n\\n(D) mx\\n(E) mn⁄x Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Given Speed = m/n\\nTo Find distance in x hours with same speed\\nDistance = speed * time\\nDistance = m/n*x = mx/n So the answer is (C).", "from": "gpt" } ]

[ { "value": "What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\\nOptions:\\n(A) 20\\n(B) 23\\n(C) 25\\n(D) 27\\n(E) 28 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "(1056 / 23) gives remainder 21\\n21 + 2 = 23, So we need to add 2 So, the answer is (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. The population of a bacteria colony doubles every day. If it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?\\nOptions:\\n(A) 512\\n(B) 1024\\n(C) 768\\n(D) 2048\\n(E) 4096", "from": "human" }, { "value": "9 days ago- 2\\n8 days ago- 4\\n7 days ago- 8\\n6 days ago- 16\\n5 days ago- 32\\n4 days ago- 64\\n3 days ago- 128\\n2 days ago- 256\\nYesterday- 512\\nToday- 1024\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/9%\\n(B) 33 1/3%\\n(C) 33 7/3%\\n(D) 33 2/3%\\n(E) 33 8/3%", "from": "human" }, { "value": "P = (P*3*R)/100\\nR = 33 1/3%\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 45\\n(C) 40\\n(D) 66\\n(E) 09 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "S = (110 + 280 /38 = 390/38 * 18/5 = 40\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Divide Rs.32000 in the ratio 3:5?\\nOptions:\\n(A) 12000, 20000\\n(B) 12000, 200098\\n(C) 12000, 20007\\n(D) 12000, 20006\\n(E) 12000, 20001 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "3/8 * 32000 = 12000\\n5/8 * 32000 = 20000\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in days?\\nOptions:\\n(A) 22 1/6\\n(B) 22 1/2\\n(C) 22 1/0\\n(D) 15\\n(E) 22 1/1 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "1/12 + 1/20 = 8/60 = 2/15\\n15/2 = 15/2 *2 = 15 days So, the answer is (D).", "from": "gpt" } ]

[ { "value": "Q: The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?\\nOptions:\\n(A) 7/98\\n(B) 1/48\\n(C) 4/189\\n(D) 1/96\\n(E) 1/68 Let's give some random thoughts before answering.", "from": "human" }, { "value": "2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189\nTherefore, the answer is (C).", "from": "gpt" } ]

[ { "value": "A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 45 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17 minutes\\n(B) 87 minutes\\n(C) 36 minutes\\n(D) 27 minutes\\n(E) 11 minutes OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "1/20 - 1/45 = 1/36\\n36 minutes The answer: (C).", "from": "gpt" } ]

[ { "value": "A boy runs 200 metres in 72 seconds. What is his speed ?\\nOptions:\\n(A) 10 km/hr\\n(B) 14 km/hr\\n(C) 20 km/hr\\n(D) 12 km/hr\\n(E) 24 km/hr Hmmm, my stream of consciousness:", "from": "human" }, { "value": "200/72 * 18/5 = 10 km/hr So, the answer is (A).", "from": "gpt" } ]

[ { "value": "How much is 90% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 29\\n(B) 776\\n(C) 66\\n(D) 16\\n(E) 99 Stream of consciousness:", "from": "human" }, { "value": "(90/100) * 40 – (4/5) * 25\\n36 - 20 = 16\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Student: A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 14.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "158 + 50 = 208/16 = 13 (Remainder) Final answer: (D).", "from": "gpt" } ]

[ { "value": "How much more would Rs.50000 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) 1205\\n(C) 992\\n(D) 837\\n(E) 923 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "50000(11/10)4 - 50000(6/5)2 = 1205 So the answer is (B).", "from": "gpt" } ]

[ { "value": "Some question: Find the odd man out.10, 25, 45, 50, 66, 70, 80\\nOptions:\\n(A) 45\\n(B) 50\\n(C) 66\\n(D) 70\\n(E) 80\nSome stream of consciousness:", "from": "human" }, { "value": "Each of the numbers except 66 is multiple of 5. The answer: (C).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:\\nOptions:\\n(A) 72\\n(B) 76\\n(C) 100\\n(D) 113\\n(E) 112", "from": "human" }, { "value": "Diver = (5*3)+3 = 18\\n3* Quotient = 18\\nQuotient = 6\\nDividend = (Divisor * Quotient) + Remainder\\nDividend = (18* 6) + 5 = 113 So the final answer is (D).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\\nOptions:\\n(A) 21 ½ days\\n(B) 22 ½ days\\n(C) 23 ½ days\\n(D) 12 ½ days\\n(E) none of these", "from": "human" }, { "value": "1/18 + 1/30 = 8/90 = 4/45\\n45/4 = 11 ¼ *2 = 22 ½ days So the final answer is (B).", "from": "gpt" } ]

[ { "value": "Q: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\\nOptions:\\n(A) 3387\\n(B) 277\\n(C) 223\\n(D) 992\\n(E) 213 Let's give some random thoughts before answering.", "from": "human" }, { "value": "(800*3*3)/100 = 72\\n920 + 72 = 992\nTherefore, the answer is (D).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. The average of 7 consecutive numbers is 33. The highest of these numbers is:\\nOptions:\\n(A) 28\\n(B) 30\\n(C) 33\\n(D) 36\\n(E) 28", "from": "human" }, { "value": "The average of 7 consecutive numbers will be the 4th number which is given to be = 33 5th number = 34, 6th number = 35, 7th number = 36\nThe answer: (D).", "from": "gpt" } ]

[ { "value": "Find the average of the first 41 natural numbers?\\nOptions:\\n(A) 8\\n(B) 9\\n(C) 10\\n(D) 11\\n(E) 21 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Average of the first 'n' natural numbers = (n + 1)/2\\nWe get (41 + 1)/2 = 21\nThus, the answer is (E).", "from": "gpt" } ]

[ { "value": "The average of first four prime numbers greater than 20 is?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "23 + 29 + 31 + 37 = 120/4 = 30 So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Some question: Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?\\nOptions:\\n(A) 27\\n(B) 16\\n(C) 38\\n(D) 61\\n(E) 83\nSome stream of consciousness:", "from": "human" }, { "value": "Using the elimination method the option that fits this description is 27\\n7-2 = 5 (unit's digit that exceeds its ten's digit by 3)\\n27*9 = 243 (the product of the given number and the sum of its digits is equal to 175) The answer: (A).", "from": "gpt" } ]

[ { "value": "Question: Which is equal to 11?\\nOptions:\\n(A) 1.1\\n(B) -11\\n(C) 11/11\\n(D) 11/1\\n(E) 1/11 Let's think first. Some random reasoning:", "from": "human" }, { "value": "11/1 is equal to 11. The final answer: (D).", "from": "gpt" } ]

[ { "value": "Q: What is the least number should be added to 1056, so the sum of the number is completely divisible by 29?\\nOptions:\\n(A) 17\\n(B) 27\\n(C) 37\\n(D) 47\\n(E) 57 Let's give some random thoughts before answering.", "from": "human" }, { "value": "(1056 / 29) gives remainder 12\\n17 + 12 = 29, So we need to add 17\nTherefore, the answer is (A).", "from": "gpt" } ]

[ { "value": "How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?\\nOptions:\\n(A) 15\\n(B) 17\\n(C) 15\\n(D) 16\\n(E) 18 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "D = 200 + 200 = 400 m\\nS = 80 * 5/18 = 200/9\\nT = 400 * 9/200 = 18 sec So the answer is (E).", "from": "gpt" } ]

[ { "value": "Some question: Bob wants a bunch of bananas and insists that the bunch contains a prime number of bananas. The bunches contain the following number of bananas. Which bunch should Bob buy?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 6\\n(D) 8\\n(E) 9\nSome stream of consciousness:", "from": "human" }, { "value": "Bunch B has a prime number of bananas. The answer: (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\\nOptions:\\n(A) 222\\n(B) 300\\n(C) 99\\n(D) 88\\n(E) 67", "from": "human" }, { "value": "1/2:1/3:1/4 = 6:4:3\\n3/13*1300 = 300 So the final answer is (C).", "from": "gpt" } ]

[ { "value": "Which of the following numbers is divisible by 12?\\nOptions:\\n(A) 1332\\n(B) 1021\\n(C) 3221\\n(D) 4211\\n(E) 3233 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "1332. This is the only option with last two digits divisible by 12 So, the answer is (A).", "from": "gpt" } ]

[ { "value": "A car finishes a journey in ten hours at the speed of 60 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?\\nOptions:\\n(A) 8 km/hr\\n(B) 10 km/hr\\n(C) 12 km/hr\\n(D) 16 km/hr\\n(E) None of these OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Distance covered by the car = 64 × 10 = 640 km\\n\\ Speed = 640⁄8 = 80 km/hr\\n\\ Speed gain = 80– 64 = 16 km/hr The answer: (D).", "from": "gpt" } ]

[ { "value": "Question: Which of the following is equal to (x-1)!/(x-2)!?\\nOptions:\\n(A) x-1\\n(B) 1+(1/x) \\n(C) 1\\n(D) x+1\\n(E) x-1 Random thoughts:", "from": "human" }, { "value": "(x - 1)! = (x - 2)! * (x-1)\\n(x - 1)!/(x-2)! = x - 1 The final answer: (E).", "from": "gpt" } ]

[ { "value": "X can finish a work in 25 days. Y can finish the same work in 20 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) 5\\n(C) 6\\n(D) 7\\n(E) 8 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Work done by X in 1 day = 1/25\\nWork done by Y in 1 day = 1/20\\nWork done by Y in 12 days = 12/20 = 3/5\\nRemaining work = 1 – 3/5 = 2/5\\nNumber of days in which X can finish the remaining work = (2/5) / (1/20) = 8\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 600 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\\nOptions:\\n(A) 438\\n(B) 446\\n(C) 452\\n(D) 462\\n(E) 470 Random thoughts:", "from": "human" }, { "value": "Number of newborns that can die in first month = 1/10 *600 = 60\\nSurvived = 540\\nNumber of newborns that can die in second month = 1/10 * 540 = 54\\nSurvived = 486\\nNumber of newborns that can die in third month = 1/10 * 486 = 48\\nSurvived = 438 The final answer: (A).", "from": "gpt" } ]

[ { "value": "Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\\nOptions:\\n(A) 4/11\\n(B) 1/2\\n(C) 15/22\\n(D) 10/1\\n(E) 11/4 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "P1 takes 12 hrs\\nRate for P2P3 together = 1/20 + 1/20 = 1/10\\nTherefore they take 10\\nRatio = 10/1 =\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "An design manager has 10patterns of chairs & 5patterns of tables. In how many ways can he make a pair of table & chair?\\nOptions:\\n(A) 20\\n(B) 40\\n(C) 50\\n(D) 90\\n(E) 100 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "He has has ten patterns of chairs and eight patterns of tables\\nHence, A chair can be arranged in 10 ways and\\nA table can be arranged in 5 ways\\nHence one chair and one table can be arranged in 10 x 5 ways = 50 ways The answer: (C).", "from": "gpt" } ]

[ { "value": "Which of the following is equal to (x+1)!/x!?\\nOptions:\\n(A) x-1\\n(B) 1+(1/x) \\n(C) 1\\n(D) x+1\\n(E) x OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "(x + 1)! = (x + 1) * x!\\n(x + 1)!/x! = x + 1 The answer: (D).", "from": "gpt" } ]

[ { "value": "A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?\\nOptions:\\n(A) 2 1⁄4 min\\n(B) 3 min\\n(C) 4 1⁄4 min\\n(D) 4 1⁄2 min\\n(E) None of these Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Time = 225/6×518 = 135 sec = 21⁄4 min.\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17\\n(B) 16\\n(C) 70\\n(D) 13\\n(E) 12 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "1/20 - 1/28 = 1/70\\n70 minutes\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Question: What is the are of an equilateral triangle of side 10 cm?\\nOptions:\\n(A) 66√3 cm2\\n(B) 25√3 cm2\\n(C) 64√3 cm2\\n(D) 64√5 cm2\\n(E) 14√3 cm2 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 10, Area of triangle = √3/4 * 10 * 10 = 25√3 cm2; The final answer: (B).", "from": "gpt" } ]

[ { "value": "Some question: The average of 11 results is 40, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\\nOptions:\\n(A) 165\\n(B) 166\\n(C) 167\\n(D) 168\\n(E) 169\nSome stream of consciousness:", "from": "human" }, { "value": "1 to 11 = 11 * 40 = 440\\n1 to 5 = 5 * 49 = 245\\n5 to 11 = 7 * 52 = 364\\n5th = 245 + 364 – 440 = 169 The answer: (E).", "from": "gpt" } ]

[ { "value": "A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?\\nOptions:\\n(A) 28\\n(B) 43\\n(C) 36\\n(D) 19\\n(E) 37 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Initial mileage/weight ratio = 38/180 = 190/900\\nRevised mileage/weight ratio = 43/150 = 258/900\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\\nOptions:\\n(A) 35\\n(B) 45\\n(C) 50\\n(D) 55\\n(E) 60 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "8C4 [Select any four] - 7C4 [Select all hard backs] = 35. So the answer is (A).", "from": "gpt" } ]

[ { "value": "Some question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?\\nOptions:\\n(A) Sunday\\n(B) Friday\\n(C) Saturday\\n(D) Monday\\n(E) Tuesday\nSome stream of consciousness:", "from": "human" }, { "value": "Given that 8th Feb, 2005 was Tuesday\\nNumber of days from 8th Feb, 2004 to 7th Feb, 2005 = 366 (Since Feb 2004 has 29 days as it is a leap year)\\n366 days = 2 odd days\\nHence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday The answer: (A).", "from": "gpt" } ]

[ { "value": "If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(B|A)\\nOptions:\\n(A) 1/2\\n(B) 2/3\\n(C) 3\\n(D) 4/5\\n(E) 4/7 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "P(B|A) = P(A ∪ B)/P(A)\\nP(B|A) = (6/15)/(2/15) = 3. The answer: (C).", "from": "gpt" } ]

[ { "value": "In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\\nOptions:\\n(A) 360\\n(B) 1720\\n(C) 2880\\n(D) 5040\\n(E) 10080 Stream of consciousness:", "from": "human" }, { "value": "Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 3 chairs to sit. The remaining 5 people can sit in 5! ways. Thus the # of arrangements is 3*5! = 360.\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?\\nOptions:\\n(A) 660 m\\n(B) 650 m\\n(C) 570 m\\n(D) 670 m\\n(E) 680 m OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Distance covered by Amar = (18/48)*1800 = 670 m The answer: (D).", "from": "gpt" } ]

[ { "value": "Q: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.\\nWhat is the expected amount of time it will take for the rat to finish the maze?\\nOptions:\\n(A) 5min\\n(B) 6min\\n(C) 7min\\n(D) 8min\\n(E) 9min Let's give some random thoughts before answering.", "from": "human" }, { "value": "Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes.\nTherefore, the answer is (E).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Five other partners. In terms of q, how much did each of the other partners receive?\\nOptions:\\n(A) q/12\\n(B) q/5\\n(C) q/10\\n(D) q/7\\n(E) q/8", "from": "human" }, { "value": "Profit = q\\nProfit to company founder = q/2\\nProfit to other partners = q/2\\nNumber of other partners = 5\\nProfit to each partner = (q/2)/5 = q/10 So the final answer is (C).", "from": "gpt" } ]

[ { "value": "A boy runs 200 metres in 36 seconds. What is his speed ?\\nOptions:\\n(A) 20 km/hr\\n(B) 24 km/hr\\n(C) 30 km/hr\\n(D) 32 km/hr\\n(E) 34 km/hr Let's think first. Stream of consciousness:", "from": "human" }, { "value": "200/36 * 18/5 = 20 km/hr\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\\nOptions:\\n(A) 60%\\n(B) 50%\\n(C) 25%\\n(D) 17%\\n(E) 10% Let's think first. Stream of consciousness:", "from": "human" }, { "value": "{Total} = {finance} + {marketing} - {both} + {neither}\\n100 = 25 + 52 - {both} + 40\\n{both} = 17%.\nSo, the answer is (D).", "from": "gpt" } ]

[ { "value": "Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?\\nOptions:\\n(A) 30\\n(B) 32\\n(C) 34\\n(D) 36\\n(E) 38 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "First we have to arrange A, there is 1 method for it, for second person B, there are 2 methods one left and one right, for third 2 methods are there same as for B similarly for others, so total number of methods = 1*2*2*2*2*2 = 32 So, the answer is (B).", "from": "gpt" } ]

[ { "value": "Question: An equity analyst needs to select 3 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 7, in how many ways can she choose and rank her top 3 picks?\\nOptions:\\n(A) 21\\n(B) 35\\n(C) 210\\n(D) 420\\n(E) 840 Random thoughts:", "from": "human" }, { "value": "Number of ways of choosing 3 stocks = 7C3\\nNumber of ways of ranking the chosen stocks = 3!\\nHence total ways of choosing and ranking = 7C3 * 3! = 7!/4! = 7*6*5 = 210 The final answer: (C).", "from": "gpt" } ]

[ { "value": "Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 75 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50 Random thoughts:", "from": "human" }, { "value": "No of people from 10 - 11 is x\\nNo of people from 11 - 12 is 3x/4\\nNo of people from 12 to 1 is (3/2)(3x/4)\\nGiven that 3x/4 + (3/2)(3x/4) = (3x/4)(5/2) = 75\\nThen x = 40 The final answer: (D).", "from": "gpt" } ]

[ { "value": "Q: Find the arithmetic mean A of all roots of the following equation- see an attachment.\\nOptions:\\n(A) 2\\n(B) 1\\n(C) 0.5\\n(D) -1/3\\n(E) 0.3 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Arithmetic mean A your answer C and E are same, can you correct one of them please. thanks.\nTherefore, the answer is (C).", "from": "gpt" } ]

[ { "value": "Question: 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 Q in the liquid in the tank after 3 minutes?\\nOptions:\\n(A) 1/11\\n(B) 2/11\\n(C) 3/11\\n(D) 4/11\\n(E) 5/11 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\\nPart filled by B in 3 minutes = 3/20\\nRequired ratio = 3/20 * 20/11 = 3/11 The final answer: (C).", "from": "gpt" } ]

[ { "value": "Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?\\nOptions:\\n(A) 15\\n(B) 14\\n(C) 17\\n(D) 18\\n(E) 19 Random thoughts:", "from": "human" }, { "value": "In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9. The final answer: (A).", "from": "gpt" } ]

[ { "value": "Q: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\\nOptions:\\n(A) 4/11\\n(B) 1/2\\n(C) 15/22\\n(D) 150/11\\n(E) 11/4 Let's give some random thoughts before answering.", "from": "human" }, { "value": "P1 takes 12 hrs\\nRate for P2P3 together = 1/25 + 1/30 = 11/150\\nTherefore they take 150/11\\nRatio = 150/11 =\nTherefore, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: A train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 42\\n(C) 54\\n(D) 66\\n(E) 09 Random thoughts:", "from": "human" }, { "value": "S = (150 + 320)/40 = 470/40 * 18/5 = 42 The final answer: (B).", "from": "gpt" } ]

[ { "value": "When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?\\nOptions:\\n(A) 1/5\\n(B) 1/10\\n(C) 1/12\\n(D) 1/16\\n(E) 1/32 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Must be either 5 heads or 5 tails\\n1/2*1/2*1/2*1/2*1/2 + 1/2*1/2*1/2*1/2*1/2\\n1/32 + 1/32 = 1/16 The answer: (D).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\\nOptions:\\n(A) 124 m2\\n(B) 128 m2\\n(C) 138 m2\\n(D) 148 m2\\n(E) None of these", "from": "human" }, { "value": "Area of the outer rectangle = 25 × 16 = 400 m2\\nArea of the inner rectangle = 21 × 12 = 252 m2\\nRequired area = (400 – 252) = 148 m2\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\\nOptions:\\n(A) 229\\n(B) 144\\n(C) 278\\n(D) 126\\n(E) 112 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "S = 240/6 * 18/5 = 144 kmph So, the answer is (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. What is the difference between 80% of 170 and 35% of 300.\\nOptions:\\n(A) 30\\n(B) 29\\n(C) 37\\n(D) 36\\n(E) 31", "from": "human" }, { "value": "(80/100) * 170 – (35/100) * 300\\n136 - 105 = 31\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "An archer is shooting arrows from various distances. She shoots at a target from 50 yards, 60 yards, and 70 yards. The probability that she hits within the bullseye from 50 yards is 3/4, the probability that she hits within the bullseye from 60 yards is 2/3, and the probability that she hits within the bullseye from 70 yards is 3/5. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\\nOptions:\\n(A) 9/10\\n(B) 14/15\\n(C) 19/20\\n(D) 29/30\\n(E) 39/40 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 50 yards)*(prob that she misses from 60 yards)*(prob that she misses from 70 yards)\\nProb that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5\\nThus the probability that she misses all shots = (1/4)*(1/3)*(2/5) = 1/30\\nThus the probability that she makes at least one shot = 1 - (1/30) = 29/30\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Some question: A man walks at a speed of 2 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?\\nOptions:\\n(A) 4 5/2 hours.\\n(B) 2 5/2 hours.\\n(C) 3 5/2 hours.\\n(D) 5 5/2 hours.\\n(E) 8 5/2 hours.\nSome stream of consciousness:", "from": "human" }, { "value": "Required time = (5 1/4)/2 + (5 1/4)/7 = 3 5/2 hours. The answer: (C).", "from": "gpt" } ]

[ { "value": "Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is\\nOptions:\\n(A) 10/17\\n(B) 10/19\\n(C) 46/105\\n(D) 11/15\\n(E) Cannot be determined Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined.\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Student: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\\nOptions:\\n(A) 11\\n(B) 12\\n(C) 99\\n(D) 75\\n(E) 72.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "1/8 + 1/24 = 1/6\\n6 * 2 = 12 Final answer: (B).", "from": "gpt" } ]

[ { "value": "Question: During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\\nOptions:\\n(A) 9%\\n(B) 10%\\n(C) 11%\\n(D) 15%\\n(E) 90% Random thoughts:", "from": "human" }, { "value": "Assume the price = 100\\nPrice during sale = 87\\nPrice after sale = 100\\nPercent increase = 13/87*100 = 15% approx. The final answer: (D).", "from": "gpt" } ]

[ { "value": "Student: 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 vowel, and each letter can be used only once?\\nOptions:\\n(A) 21\\n(B) 42\\n(C) 120\\n(D) 600\\n(E) 720.\nAnother student: Let's say, hmmm...\n", "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 1 Ways ( As the question states that the last letter has to be a vowel)\\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter\\nSecond letter can be filled in 5 Ways\\nThird letter can be filled in 4 Ways\\nFourth letter can be filled in 3 Ways\\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 3 ways x 1 ways = 120 Final answer: (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\\nOptions:\\n(A) 17 1/4 min\\n(B) 28 1/7 min\\n(C) 17 1/7 min\\n(D) 17 1/8 min\\n(E) 15 15/19 min", "from": "human" }, { "value": "1/20 + 1/30 - 1/50 = 19/300\\n300/19 = 15 15/19\nThe answer: (E).", "from": "gpt" } ]

[ { "value": "In a locality, the prevailing price of a 700 square feet property last year was US Dollar 1000. The owner made some additions and the 900 square feet property is now fetching a price of US Dollar 1500. By approximately what percent did the ratio of price to size increase from the previous year's price?\\nOptions:\\n(A) 12\\n(B) 14\\n(C) 17\\n(D) 21\\n(E) 19 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Initial price/area ratio = 1000/700 = 9000/6300\\nRevised mileage/weight ratio = 1500/900 = 10500/6300\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?\\nOptions:\\n(A) 9 3/6\\n(B) 9 3/4\\n(C) 9 3/8\\n(D) 5 3/2\\n(E) 9 3/2 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "1/15 + 1/25 = 8/75\\n75/8 = 9 3/8 days\nSo, the answer is (C).", "from": "gpt" } ]

[ { "value": "A card shop contains 5 birthday cards, 4 holiday cards, and 3 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be graduation cards?\\nOptions:\\n(A) 1/33\\n(B) 6/264\\n(C) 1/44\\n(D) 1/264\\n(E) 1/1320 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "It doesn't matter which type of card you choose, so:\\nProbability of choosing 1st card: 3/12\\nProbability of choosing 2nd card of the same type: 2/11\\nProbability of choosing 3rd card of the same type: 1/10\\nMultiply and you get 1/264\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?\\nA.\\nB.\\nC.\\nD.\\nE.\\nOptions:\\n(A) 8\\n(B) 13\\n(C) 16\\n(D) 24\\n(E) 27 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Each group has 8 = 8+8+8 = 24 max\\n4 people are in 2 groups, subtract 4 people twice as they are counted twice\\nEach pair of groups has 5 in common, so in addition to the 4 people subtract 1 from each group\\nAns: 8+8+8-(2(4)) - 3 = 13\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Q: Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?\\nOptions:\\n(A) 5 days\\n(B) 6 days\\n(C) 9 days\\n(D) 10 days\\n(E) None of these Let's give some random thoughts before answering.", "from": "human" }, { "value": "7 x 12 men complete the work in 1 day\\nTherefore, 1 man’s 1 day’s work = 1/84\\n7 men’s 5 days work = 5/12\\nRemaining work = 1- 5/12 = 7/12\\n5 men’s 1 day’s work = 5/84\\n5/84 work is don by them in 1 day\\n7/12 work is done by them in ((84/5) x (7/12)) = 49/5 days = 9 4/5 days\nTherefore, the answer is (E).", "from": "gpt" } ]

[ { "value": "Question: What is the maximum number of pieces of birthday cake of size 10” by 10” that can be cut from a cake 20” by 20”?\\nOptions:\\n(A) 4\\n(B) 10\\n(C) 16\\n(D) 20\\n(E) 25 Random thoughts:", "from": "human" }, { "value": "The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum). The final answer: (A).", "from": "gpt" } ]

[ { "value": "Student: In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/8%\\n(B) 33 1/3%\\n(C) 83 1/3%\\n(D) 33 4/3%\\n(E) 73 1/3%.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "P = (P*3*R)/100\\nR = 33 1/3% Final answer: (B).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:\\nOptions:\\n(A) 10\\n(B) 12\\n(C) 30\\n(D) 40\\n(E) 20", "from": "human" }, { "value": "Dist = (100/45*9) = 20 m\nThe answer: (E).", "from": "gpt" } ]

[ { "value": "The length of a rectangle is increased by 15% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 1288\\n(B) 1299\\n(C) 1000\\n(D) 10000\\n(E) 9200 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "100 * 100 = 10000\\n115 * 80 = 9200 So, the answer is (E).", "from": "gpt" } ]

[ { "value": "Student: There are five same model cars parked in the same direction in parking. If 3 cars are red, 1 is black and 1 is green, in how many ways they can be arranged in the parking?\\nOptions:\\n(A) 10 ways.\\n(B) 20 ways.\\n(C) 30 ways.\\n(D) 40 ways.\\n(E) 50 ways..\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "5!/(3!*1!*1!) = (5*4*3*2*1)/(3*2*1) = 120/6 = 20 ways. Final answer: (B).", "from": "gpt" } ]

[ { "value": "Student: Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?\\nOptions:\\n(A) x^2\\n(B) x^2+2\\n(C) x^2 +4\\n(D) x^2+9\\n(E) x^2+4x.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Avg = [(x+3)^2 + (x-3)^2] / 2\\nExpanding and simplifying, (x^2 + 6x + 9 + x^2 - 6x + 9 ) / 2 = x^2 + 9 Final answer: (D).", "from": "gpt" } ]