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AlignmentLab-AI

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Alignment Lab Ai 38

[ { "value": "Use some thinking to answer the following question. The average age of a class of 14 students is 10 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) 32 Years\\n(D) 34 Years\\n(E) 25 Years", "from": "human" }, { "value": "Total age of students is 14X10 = 140 Years\\nTotal age inclusive of teacher = 15X (10+1) = 165\\nSo, Teacher's age is 165-140 = 25 Yrs\\nThere is a shortcut for these type of problems\\nTeacher's age is 10+(15X1) = 25 Years So the final answer is (E).", "from": "gpt" } ]

[ { "value": "Student: A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?\\nOptions:\\n(A) 338\\n(B) 277\\n(C) 463\\n(D) 456\\n(E) 271.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "D = 60 * 5/18 = 35 = 583 – 120 = 463 Final answer: (C).", "from": "gpt" } ]

[ { "value": "Convert the 12/43 m/s into kilometers per hour?\\nOptions:\\n(A) 3.5 kmph.\\n(B) 2.5 kmph.\\n(C) 1 kmph.\\n(D) 1.5 kmph.\\n(E) 1.9 kmph. OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "12/43 m/s = 12/43 * 18/5 = 1 (1/250) = 1 kmph. The answer: (C).", "from": "gpt" } ]

[ { "value": "Question: Two trains are moving at 85 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) 5 25/31 sec\\n(B) 7 1/17 sec\\n(C) 7 2/2 sec\\n(D) 8 1/2 sec\\n(E) 7 1/9 sec Random thoughts:", "from": "human" }, { "value": "70 + 85 = 155 * 5/18 = 775/18 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 18/775 = 180/31 = 5 25/31 sec The final answer: (A).", "from": "gpt" } ]

[ { "value": "A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 19 seconds. What is the length of the platform in meters?\\nOptions:\\n(A) 220 meters\\n(B) 360 meters\\n(C) 420 meters\\n(D) 600 meters\\n(E) Cannot be determined Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Speed of the train in metres/sec = 72000/3600 = 20\\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\\nDistance travelled by train to cross the man = 19 * 20 = 380 = Length of train\\nLength of platform = 600 - 380 = 220 So, the answer is (A).", "from": "gpt" } ]

[ { "value": "A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the probability that this draw of red ball is due to the drawing of red ball from the first bag ?\\nOptions:\\n(A) 3/5\\n(B) 2/5\\n(C) 4/25\\n(D) 3/10\\n(E) 15/23 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Probability of getting red ball from bag1 and then red from bag 2 = 3/5*5/10 = 15/50\\nProbability of getting black ball from bag1 and then red from bag 2 = 2/5*4/10 = 8/50\\nNow comes the condition, hence apply conditional probability:\\nP(Red)/ P(Red + Black)\\n(15/50)/(15/50+8/50) = 15/50 /23/50 = 15/23. So the answer is (E).", "from": "gpt" } ]

[ { "value": "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 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\\nOptions:\\n(A) 240\\n(B) 246\\n(C) 252\\n(D) 292\\n(E) 298 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Number of newborns that can die in first month = 1/10 * 400 = 40\\nSurvived = 360\\nNumber of newborns that can die in second month = 1/10 * 360 = 36\\nSurvived = 324\\nNumber of newborns that can die in third month = 1/10 * 324 = 32\\nSurvived = 292\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 720 Random thoughts:", "from": "human" }, { "value": "5C3 * 4C2 * 3C2 = 10*6*3 = 180. The final answer: (D).", "from": "gpt" } ]

[ { "value": "What should come in place of question mark(?) in the following equation?\\n8597 – ? = 7429 – 4358\\nOptions:\\n(A) 5706\\n(B) 5526\\n(C) 5426\\n(D) 5626\\n(E) None of these OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "8597 – ? = 7429 – 4358\\n∴ ? = 5526 The answer: (B).", "from": "gpt" } ]

[ { "value": "Question: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.\\nOptions:\\n(A) 110 kmph\\n(B) 120 kmph\\n(C) 108 kmph\\n(D) 100 kmph\\n(E) 98 kmph Random thoughts:", "from": "human" }, { "value": "In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train\\nIn 20 sec the train travels a distance of 600 mtrs\\nSpeed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph The final answer: (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) 3 4/9 days\\n(B) 8 4/9 days\\n(C) 9 3/8 days\\n(D) 6 3/8 days\\n(E) none of these Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "1/15 + 1/25 = 8/75\\n75/8 = 9 3/8 days So the answer is (C).", "from": "gpt" } ]

[ { "value": "A man rows his boat 84 km downstream and 48 km upstream, taking 2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6 kmph\\n(B) 5 kmph\\n(C) 9 kmph\\n(D) 8 kmph\\n(E) 1 kmph Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Speed downstream = d/t = 84/(2) = 42 kmph\\nSpeed upstream = d/t = 48/(2) = 24 kmph\\nThe speed of the stream = (42 - 24)/2 = 9 kmph\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Student: The measure of the side of a square is quadrupled. If x represents the perimeter of the original square, what is the value of the new perimeter?\\nOptions:\\n(A) 3x\\n(B) 4x\\n(C) 9x\\n(D) 12x\\n(E) 27x.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Original perimeter = x\\nHence original side = x/4\\nNew side = 4x/4\\nNew perimeter = 4*4x/4 = 4x Final answer: (B).", "from": "gpt" } ]

[ { "value": "Student: In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :\\nOptions:\\n(A) n is a perfect square\\n(B) n is an odd number\\n(C) n is an even number\\n(D) n is a perfect cube\\n(E) none.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be (4*4)*4 = 64 pieces, which is a cube of 4. Final answer: (D).", "from": "gpt" } ]

[ { "value": "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 2 days?\\nOptions:\\n(A) 2/5\\n(B) 1/6\\n(C) 1/4\\n(D) 1/9\\n(E) 2/6 Now, let's think a bit. Some random thoughts:", "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 2 days = 2 (1/18) = 1/9.\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Q: 80 is increased by 50%. Find the final number.\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 120\\n(D) 30\\n(E) 160 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Final number = Initial number + 50%(original number) = 80 + 50%(80) = 80 + 40 = 120.\nTherefore, the answer is (C).", "from": "gpt" } ]

[ { "value": "If n is the greatest positive integer for which 4^n is a factor of 8!, then n =?\\nOptions:\\n(A) 2\\n(B) 4\\n(C) 6\\n(D) 8\\n(E) 10 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "8! = 40320\\nE. 4^10 = 1048576 (40320/1048576) - this is not a factor of 8!\\nD. 4^8 = 65536 (40320/65536) - this is not a factor of 8!\\nC. 4^6 = 4096 (40320/4096) - this is not a factor of 8!\\nB. 4^4 = 256 (40320/256) - this is not a factor of 8!\\nA. 4^2 = 16 (40320/16) - this is a factor of 8!\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $231 for it, the cost price of the Cricket Bat for A is:\\nOptions:\\n(A) 150\\n(B) 120\\n(C) 154\\n(D) 160\\n(E) 210 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "125% of 120% of A = 231\\n125/100 * 120/100 * A = 231\\nA = 231 * 2/3 = 154. So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Q: A motorcyclist goes from Bombay to Nagpur, a distance of 600 kms at an average of 120 kmph speed. Another man starts from Bombay by car 1 ½ hours after the first, and reaches Nagpur ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 1:2\\n(B) 1:7\\n(C) 1:9\\n(D) 3:5\\n(E) 1:1 Let's give some random thoughts before answering.", "from": "human" }, { "value": "T = 600/120 = 5 h\\nT = 5 - 2 = 3\\nTime Ratio = 5:3\\nSpeed Ratio = 3:5\nTherefore, the answer is (D).", "from": "gpt" } ]

[ { "value": "Some question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 20 minutes, how much time will she spend doing yoga? (rounded to minutes)\\nOptions:\\n(A) 10 min.\\n(B) 33 min.\\n(C) 17 min.\\n(D) 23 min.\\n(E) 25 min.\nSome stream of consciousness:", "from": "human" }, { "value": "The ratio is 2:3 = gym:ride, so (20)(3/2) = 30 minutes at the gym, and 30 + 20 = 50 minutes exercise, so (2/3)(50) = 33 minutes yoga. The answer: (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.\\nOptions:\\n(A) 8\\n(B) 10\\n(C) 14\\n(D) 16\\n(E) 19", "from": "human" }, { "value": "Work done by P in 1 day = 1/24\\nWork done by Q in 1 day = 1/9\\nWork done by R in 1 day = 1/12\\nWork done by Q and R in 1 day = 1/9 + 1/12 = 7/36\\nWork done by Q and R in 3 days = 3×7/36 = 7/12\\nRemaining work = 1 – 7/12 = 5/12\\nNumber of days in which P can finish the remaining work = (5/12) / (1/24) = 10\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "In case N is the only individual sewing on committee B, which among the following shouldserve on committee A?\\nOptions:\\n(A) V and U\\n(B) V and T\\n(C) U and S\\n(D) O and P\\n(E) T and U Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "O and P should serve on A\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "If in a certain sequence of consecutive multiples of 100, the median is 650, and the greatest term is 1000, how many terms that are smaller than 650 are there in the sequence?\\nOptions:\\n(A) 6\\n(B) 4\\n(C) 8\\n(D) 12\\n(E) 13 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Since the median is 650 we know there must be a even number of integers\\nSo the list around 625 must go. 600 ( 650) 700 800 900 1000\\nSince we know there are 4 numbers greater than 650 then there must be 4 numbers less then 650. So, the answer is (B).", "from": "gpt" } ]

[ { "value": "A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting?\\nOptions:\\n(A) 12\\n(B) 22 1/2\\n(C) 37 1/2\\n(D) 50\\n(E) 29 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "(23/2) ( 2+3) * 2 = 29 = So the answer is (E).", "from": "gpt" } ]

[ { "value": "Student: Calculate the circumference of a circular field whose radius is 6 centimeters.\\nOptions:\\n(A) 2 π cm\\n(B) 1 π cm\\n(C) 15 π cm\\n(D) 12 π cm\\n(E) 19 π cm.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Circumference C is given by\\nC = 2πr = 2π*6 = 12 π cm Final answer: (D).", "from": "gpt" } ]

[ { "value": "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) 176\\n(B) 179\\n(C) 153\\n(D) 167\\n(E) 107 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n850 * 18/100 = 153\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. The year next to 1991 having the same calendar as that of 1990 is –\\nOptions:\\n(A) 1998\\n(B) 2001\\n(C) 2002\\n(D) 2003\\n(E) None of these", "from": "human" }, { "value": "We go on counting the odd days from 1991 onward still the sum is divisible by 7. The number of such days are 14 upto the year 2001. So, the calender for 1991 will be repeated in the year 2002. So the final answer is (C).", "from": "gpt" } ]

[ { "value": "If we need to change the average age of a group containing 4 persons from 40 to 38 by adding a person. What should be the age of the person newly added to the group?\\nOptions:\\n(A) 20\\n(B) 25\\n(C) 30\\n(D) 38\\n(E) 40 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Sum of the ages of the group having 4 persons and average 40 = 4x40 = 160\\nSum of the ages of the group having 5 persons and average 38 = 5x38 = 190\\nAge of the new person added to the group = 190-160 = 30 The answer: (C).", "from": "gpt" } ]

[ { "value": "Student: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\\nOptions:\\n(A) 1.\\n(B) 2.\\n(C) 3.\\n(D) 4.\\n(E) 5..\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Total boxes = 23\\nFilled with toys = 16\\nFilled with appliance = 7\\nTotal boxes for sale = 8\\nToy boxes for sale = 4\\nAppliance boxes for sale = 4\\nAppliance boxes not for sale = 7 - 4 = 3 Final answer: (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. 30 pens and 75 pencils were purchased for 630. If the average price of a pencil was 2.00, find the average price of a pen.\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 16", "from": "human" }, { "value": "Since average price of a pencil = 2\\n∴ Price of 75 pencils = 150\\n∴ Price of 30 pens = (630 – 150) = 480\\n∴ Average price of a pen = 480⁄60 = 16\nThe answer: (E).", "from": "gpt" } ]

[ { "value": "Q: How many positive integers less than 50 have a reminder 01 when divided by 5?\\nOptions:\\n(A) 10\\n(B) 14\\n(C) 15\\n(D) 16\\n(E) 17 Let's give some random thoughts before answering.", "from": "human" }, { "value": "1 also gives the remainder of 1 when divided by 5. So, there are total of 10 numbers.\nTherefore, the answer is (A).", "from": "gpt" } ]

[ { "value": "Question: Calculate the circumference of a circular field whose radius is 8 centimeters.\\nOptions:\\n(A) 17 π cm\\n(B) 18 π cm\\n(C) 1 π cm\\n(D) 16 π cm\\n(E) 6 π cm Let's think first. Some random reasoning:", "from": "human" }, { "value": "Circumference C is given by\\nC = 2πr = 2π*8 = 16 π cm The final answer: (D).", "from": "gpt" } ]

[ { "value": "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 600 kms and City A and City C is 460 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) 40/23 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Distance traveled by Eddy = 600 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 600/3 = 200 km/hour\\nDistance traveled by Freddy = 460 km\\nTime taken by Freddy = 4 hours\\nAverage speed of Freddy = 460/4 = 115 km/hour\\nRatio of average speed of Eddy to Freddy = 200/115 = 40/23 So the answer is (E).", "from": "gpt" } ]

[ { "value": "If a 3-digit integer is selected at random from the integers 700 through 899, inclusive, what is the probability that the second digit is one greater then the first digit, and the third digit is one greater than the second digit?\\nOptions:\\n(A) 2/225\\n(B) 2/200\\n(C) 8/700\\n(D) 1/50\\n(E) 1/200 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Hundreds digit can be 7 or 8\\nIf the hundreds digit is 7, then the tens digit has to be 8 and the units digit has to be 9\\nIf the hundreds digit is 8, then the tens digit has to be 9 and the units digit has to be 10\\nA digit has to fall between 0 and 9, so 10 cannot be a digit\\nThe number is 789\\nTotal numbers between 700 and 899 = (899-700)+1 = 200\\nProbability = 1/200 The answer: (E).", "from": "gpt" } ]

[ { "value": "Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.\\nHow fast would Jamie have to drive in order to get to Bob's party on time?\\nOptions:\\n(A) 30 km/h\\n(B) 45 km/h\\n(C) 60 km/h\\n(D) 75 km/h\\n(E) 90 km/h Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Distance between Bob's house and Jamie's restaurant: 30 x 3 = 90 km\\nRate of speed to get to Bob's house in an hour: 90 x 1 = 90 km/h\\nRate of speed to get to Bob's house in half an hour: 90/2 = 45 km/h So, the answer is (B).", "from": "gpt" } ]

[ { "value": "The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 112 kmph. Find the speed of the boat in still water and the speed of the stream?\\nOptions:\\n(A) 70, 10 kmph\\n(B) 106, 6 kmph\\n(C) 50, 60 kmph\\n(D) 45, 55 kmph\\n(E) 45, 65 kmph Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Speed of the boat in still water = (100+112)/2 = 106 kmph. Speed of the stream = (100-112)/2 = 6 kmph So the answer is (B).", "from": "gpt" } ]

[ { "value": "The total number of apples and oranges in the refrigerator is 7 more than the total number of oranges and peaches in the refrigerator. How much lesser is the number of peaches in the refrigerator as compared to apples?\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 4 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "(Apples + Oranges) - (Oranges + Peaches) = 7\\nApples - Peaches = 7\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. How much is 80% of 40 is greater than 4/5 of 20?\\nOptions:\\n(A) 12\\n(B) 27\\n(C) 18\\n(D) 16\\n(E) 81", "from": "human" }, { "value": "(80/100) * 40 – (4/5) * 20\\n32 - 16 = 16\nThe answer: (D).", "from": "gpt" } ]

[ { "value": "Question: Which of the following is not divisible by 8?\\nOptions:\\n(A) 10032\\n(B) 21192\\n(C) 47816\\n(D) 91232\\n(E) 72034 Random thoughts:", "from": "human" }, { "value": "Divisibility rule of 8: Last three digits of the number should be divisible by 8\\nOption A: 10032, last three digits = 032. Divisible by 8\\nOption B: 21192, last three digits = 192. Divisible by 8\\nOption C: 47816, last three digits = 816. Divisible by 8\\nOption D: 91232, last three digits = 232. Divisible by 8\\nOption E: 72034, last three digits = 034. Not divisible by 8. Hence 72034 is not divisible by 8 The final answer: (E).", "from": "gpt" } ]

[ { "value": "A train running at the speed of 142 km/hr crosses a pole in 12 seconds. Find the length of the train.\\nOptions:\\n(A) 540\\n(B) 288\\n(C) 200\\n(D) 340\\n(E) 712 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Speed = 162*(5/18) m/sec = 45m/sec\\nLength of Train (Distance) = Speed * Time\\n45 * 12 = 540 meter So the answer is (A).", "from": "gpt" } ]

[ { "value": "A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 9\\n(D) 11\\n(E) 15 Stream of consciousness:", "from": "human" }, { "value": "220 + 43 = 263/17 = 8 (Remainder)\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Sum of the local value and the face value of 4 in the numeral 153489216 is\\nOptions:\\n(A) 40004\\n(B) 4004\\n(C) 4000004\\n(D) 400004\\n(E) 44 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "(Local value of 4) + (Face value of 4) = (400000 + 4) = 400004\nSo, the answer is (D).", "from": "gpt" } ]

[ { "value": "Student: 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) 1227\\n(B) 2088\\n(C) 26788\\n(D) 8112\\n(E) 1871.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "A = 7500(26/25)2 = 8112 Final answer: (D).", "from": "gpt" } ]

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

[ { "value": "Some question: Every year an amount increases by 1/6th of itself. How much will it be after two years if its present value is Rs.64000?\\nOptions:\\n(A) 87111\\n(B) 81007\\n(C) 81008\\n(D) 81066\\n(E) 81022\nSome stream of consciousness:", "from": "human" }, { "value": "64000* 7/6 * 7/6 = 87111 The answer: (A).", "from": "gpt" } ]

[ { "value": "Some question: Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?\\nOptions:\\n(A) 58\\n(B) 72\\n(C) 78\\n(D) 88\\n(E) 312\nSome stream of consciousness:", "from": "human" }, { "value": "Average score for first 4 rounds = 68\\nAverage score after 5 rounds = 66\\nScore Scott needs on his 5th round to drop average score by 2 points = 68 - (2*5) = 58 The answer: (A).", "from": "gpt" } ]

[ { "value": "Some question: In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:\\nOptions:\\n(A) 72\\n(B) 90\\n(C) 100\\n(D) 110\\n(E) 120\nSome stream of consciousness:", "from": "human" }, { "value": "Diver = (4*3)+2 = 14\\n2* Quotient = 14\\nQuotient = 7\\nDividend = (Divisor * Quotient) + Remainder\\nDividend = (14 * 7) + 2 = 100 The answer: (C).", "from": "gpt" } ]

[ { "value": "A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. What is the length of the platform in meters?\\nOptions:\\n(A) 240 meters\\n(B) 360 meters\\n(C) 300 meters\\n(D) 600 meters\\n(E) Cannot be determined Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Speed of the train in metres/sec = 72000/3600 = 20\\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\\nDistance travelled by train to cross the man = 15 * 20 = 300 = Length of train\\nLength of platform = 600 - 300 = 300\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "If rupee one produces rupees nine over a period of 54 years, find the rate of simple interest?\\nOptions:\\n(A) 22 1/7 %\\n(B) 22 3/2 %\\n(C) 22 1/8 %\\n(D) 22 1/2 %\\n(E) 16 2/3 % OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "9 = (1*54*R)/100\\nR = 16 2/3 % The answer: (E).", "from": "gpt" } ]

[ { "value": "A 160 meter long train crosses a man standing on the platform in 16 sec. What is the speed of the train?\\nOptions:\\n(A) 36 kmph\\n(B) 54 kmph\\n(C) 92 kmph\\n(D) 86 kmph\\n(E) 76 kmph OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "S = 160/16 * 18/5 = 36 kmph The answer: (A).", "from": "gpt" } ]

[ { "value": "In how many different ways can the letters of the word \"CLAIM\" be rearrangement?\\nOptions:\\n(A) 120\\n(B) 130\\n(C) 140\\n(D) 145\\n(E) 150 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Option 'A'\\nThe total number of arrangements is\\n5P5 = 5! = 120\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Student: How much 60% of 50 is greater than 30% of 30?\\nOptions:\\n(A) 21\\n(B) 91\\n(C) 11\\n(D) 17\\n(E) 12.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "(60/100) * 50 – (30/100) * 30\\n30 - 9 = 21 Final answer: (A).", "from": "gpt" } ]

[ { "value": "Q: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?\\nOptions:\\n(A) 6\\n(B) 4\\n(C) 5\\n(D) 3\\n(E) 1 Let's give some random thoughts before answering.", "from": "human" }, { "value": "P(1 + 20/100)n > 2P or (6/5)n > 2\\nNow, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n = 4 years.\nTherefore, the answer is (B).", "from": "gpt" } ]

[ { "value": "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 500 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\\nOptions:\\n(A) 340\\n(B) 346\\n(C) 352\\n(D) 365\\n(E) 370 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Number of newborns that can die in first month = 1/10 * 500 = 50\\nSurvived = 450\\nNumber of newborns that can die in second month = 1/10 * 450 = 45\\nSurvived = 405\\nNumber of newborns that can die in third month = 1/10 * 405 = 40\\nSurvived = 365\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "7528:5306::4673:?\\nOptions:\\n(A) 2351\\n(B) 2451\\n(C) 2551\\n(D) 2651\\n(E) 2751 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "As there is a difference of 2222. 7528-2222 = 5306. so 4673-2222 = 2451\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 757.48 = 443.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 680\\n(D) 770\\n(E) 890", "from": "human" }, { "value": "? = 285 + 1895 – 755 – 745 or, ? = 680 So the final answer is (C).", "from": "gpt" } ]

[ { "value": "Which of the following CANNOT be weighed using a balance scale and these unit weights: 2, 4, 7, and 10\\nOptions:\\n(A) 16\\n(B) 15\\n(C) 18\\n(D) 19\\n(E) 21 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "A. 13 (can be weighed by keeping weights of 10, 2 and 4 )\\nB. 15 (cannot be weighed)\\nC. 17 (can be weighed by keeping weights of 10 and 7 kg)\\nD. 19(can be weighed by keeping weights of 10, 2 and 7 kg)\\nE. 21 (can be weighed by keeping weights of 10, 7 and 4 kg) So, the answer is (B).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. A car traveled from San Diego to San Francisco at an average speed of 45 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\\nOptions:\\n(A) 30.\\n(B) 32.\\n(C) 36.\\n(D) 42.\\n(E) 44.", "from": "human" }, { "value": "Let the time taken be = x\\nOne way distance = 45x\\nTotal distance traveled = 2 * 45x = 90x\\nTotal time taken = x + 2x = 3x\\nAverage speed = 90x/3x = 30\nThe answer: (A).", "from": "gpt" } ]

[ { "value": "Some question: The total number of students in Grades 1 and 2 is 30 more than the total number of students in grades 2 and 5. How much lesser is the number of students in Grade 5 as compared to Grade 1?\\nOptions:\\n(A) 20\\n(B) 30\\n(C) 10\\n(D) 40\\n(E) 15\nSome stream of consciousness:", "from": "human" }, { "value": "(Grade 1 + Grade 2) - (Grade 2 + Grade 5) = 30\\nGrade 1 - Grade 5 = 30 The answer: (B).", "from": "gpt" } ]

[ { "value": "Q: A, B and C can do a work in 7 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 50/59\\n(B) 2 5/59\\n(C) 2 2/50\\n(D) 2 2/59\\n(E) 2 1/59 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Work done by all three of them in one day = 1/7 + 1/8 + 1/12 = 59/168\\nThe number of days required = 168/59 = 2 50/59 days.\nTherefore, the answer is (A).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. 30 pens and 75 pencils were purchased for 450. If the average price of a pencil was 2.00, find the average price of a pen.\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 14", "from": "human" }, { "value": "Since average price of a pencil = 2\\n∴ Price of 75 pencils = 150\\n∴ Price of 30 pens = (450 – 150) = 300\\n∴ Average price of a pen = 360⁄60 = 10 So the final answer is (A).", "from": "gpt" } ]

[ { "value": "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) 337\\n(C) 277\\n(D) 288\\n(E) 2781 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "20000(11/10)4 - 20000(6/5)2 = 482\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. If 15% of 40 is greater than 25% of a number by 2,then find the number is?\\nOptions:\\n(A) 20\\n(B) 15\\n(C) 16\\n(D) 25\\n(E) 30", "from": "human" }, { "value": "15/100 * 40 - 25/100 * x = 2 or x/4 = 4 so x = 16 So the final answer is (C).", "from": "gpt" } ]

[ { "value": "Q: A train 124 m long running at 68 kmph crosses a platform in 19 sec. What is the length of the platform?\\nOptions:\\n(A) 338\\n(B) 234\\n(C) 240\\n(D) 881\\n(E) 271 Let's give some random thoughts before answering.", "from": "human" }, { "value": "D = 68 * 5/18 = 19 = 358 – 124 = 234\nTherefore, the answer is (B).", "from": "gpt" } ]

[ { "value": "An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?\\nOptions:\\n(A) 270º\\n(B) 360º\\n(C) 280º\\n(D) 90º\\n(E) 180º Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Angle traced by the hour hand in 6 hours = (360/12 x 6)º = 180º. So, the answer is (E).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. 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 1.4 km long?\\nOptions:\\n(A) 2 mins 14 sec\\n(B) 2 mins 34 sec\\n(C) 2 mins 54 sec\\n(D) 4 mins 54 sec\\n(E) 2 mins 44 sec", "from": "human" }, { "value": "D = 25 * 60 + 1400 = 2900 m\\nT = 2900/60 * 18/5 = 174 sec = 2 mins 54 se\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "A fair is coin is tossed repeatedly. If head appears on first four tosses then what is the probability of appearance of tail in the fifth toss?\\nOptions:\\n(A) 2/3\\n(B) 1/2\\n(C) 1/8\\n(D) 1/0\\n(E) 1/6 Stream of consciousness:", "from": "human" }, { "value": "As the given coin is a fair coin, the probability of getting tail on the fifth toss is independent of the out comes in the previous 4 tosses. So probability = 1/2\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A cricket bat is sold for $850, making a profit of $225. The profit percentage would be\\nOptions:\\n(A) 24%\\n(B) 25%\\n(C) 30%\\n(D) 36%\\n(E) 40%", "from": "human" }, { "value": "225/(850 - 225) = 225/625 = 9/25 bit more than 33%.\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 118 km\\n(B) 162 km\\n(C) 1767 km\\n(D) 432 km\\n(E) 177 km Hmmm, my stream of consciousness:", "from": "human" }, { "value": "32 m/s = 32 * 18/5 kmph\\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 32 * 18/5 * 15/4 km = 432 km. So, the answer is (D).", "from": "gpt" } ]

[ { "value": "a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 8 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Total subjects = 4 +3 +3 = 10\\nMax subjects by 1 teacher = 2\\nSo, min of teachers required = 10/2 = 5 So the answer is (B).", "from": "gpt" } ]

[ { "value": "A shopkeeper sold sarees at 266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?\\nOptions:\\n(A) 280\\n(B) 260\\n(C) 38 mph\\n(D) Data inadequate\\n(E) None of these Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Marked price = 266 × 100⁄95 × 280\\nCost Price = 280 × 100⁄112 = 250 So the answer is (E).", "from": "gpt" } ]

[ { "value": "Question: 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 3/8 days\\n(B) 4 2/8 days\\n(C) 17 9/8 days\\n(D) 12 7/8 days\\n(E) 16 9/8 days Let's think first. Some random reasoning:", "from": "human" }, { "value": "1/15 + 1/25 = 8/75\\n75/8 = 9 3/8 days The final answer: (A).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?\\nOptions:\\n(A) 11\\n(B) 5\\n(C) 8\\n(D) 7\\n(E) 9", "from": "human" }, { "value": "39 + 20 = 59/13 = 7 (Remainder) So the final answer is (D).", "from": "gpt" } ]

[ { "value": "Student: The average of seven numbers is 24. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\\nOptions:\\n(A) 27\\n(B) 29\\n(C) 31\\n(D) 34\\n(E) 69.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "The total of seven numbers = 7X24 = 168\\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\\nSo, the middle number is (168 - 99 ) = 69 Final answer: (E).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?\\nOptions:\\n(A) 128\\n(B) 150\\n(C) 882\\n(D) 272\\n(E) 121", "from": "human" }, { "value": "1/2 * 20(9 + 6) = 150 cm2\nThe answer: (B).", "from": "gpt" } ]

[ { "value": "Some question: In what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 4\\n(D) 6\\n(E) 7\nSome stream of consciousness:", "from": "human" }, { "value": "T = 64/46 * 18/5 = 5 sec The answer: (B).", "from": "gpt" } ]

[ { "value": "Student: A 160 meter long train crosses a man standing on the platform in 8 sec. What is the speed of the train?\\nOptions:\\n(A) 96 kmph\\n(B) 94 kmph\\n(C) 92 kmph\\n(D) 86 kmph\\n(E) 72 kmph.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "S = 160/8 * 18/5 = 72 kmph Final answer: (E).", "from": "gpt" } ]

[ { "value": "Find the odd man out 8,27, 64,216,,512,1000\\nOptions:\\n(A) 216\\n(B) 512\\n(C) 64\\n(D) 8\\n(E) 27 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "27 is cube of 3 which is odd number where as all others are cubes of even numbers. So the answer is (E).", "from": "gpt" } ]

[ { "value": "Q: If x is an odd integer, which of the following is an odd integer?\\nOptions:\\n(A) 2x+2\\n(B) x^2\\n(C) 2x+4x\\n(D) 1+2x+x^2\\n(E) 3x-1 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Plug in an odd integer; in this case 3\\n(2*3)+2 = 8 Even\\n3^2 = 9 Odd\\n(2*3)+(4*3) = 6 + 12 = 18 Even\\n1+(2*3)+3^2 = 1+ 6 + 9 = 16 Even\\n(3*3)-1 = 9 - 1 = 8 Even\nTherefore, the answer is (B).", "from": "gpt" } ]

[ { "value": "Student: What distance will be covered by a bus moving at 72 kmph in 30 seconds?\\nOptions:\\n(A) 278\\n(B) 600\\n(C) 772\\n(D) 551\\n(E) 131.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "72 kmph = 72 * 5/18 = 20 mps\\nD = Speed * time = 20 * 30 = 600 m. Final answer: (B).", "from": "gpt" } ]

[ { "value": "Q: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 6 strokes ?\\nOptions:\\n(A) 63/64\\n(B) 7/8\\n(C) 1/4\\n(D) 1/8\\n(E) 1/16 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Left After 1st stroke = 1/2\\nLeft After 2nd stroke = 1/2 * 1/2 = 1/4\\nLeft After 3rd stroke = 1/2 * 1/4 = 1/8\\nLeft After 4th stroke = 1/2 * 1/8 = 1/16\\nLeft After 5th stroke = 1/2 * 1/16 = 1/32\\nLeft After 6th stroke = 1/2 * 1/32 = 1/64\\nSo removed = 1- 1/64 = 63/64\nTherefore, the answer is (A).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. X can finish a work in 24 days. Y can finish the same work in 16 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 6\\n(D) 8\\n(E) 9", "from": "human" }, { "value": "Work done by X in 1 day = 1/24\\nWork done by Y in 1 day = 1/16\\nWork done by Y in 10 days = 10/16 = 5/8\\nRemaining work = 1 – 5/8 = 3/8\\nNumber of days in which X can finish the remaining work = (3/8) / (1/24) = 9 So the final answer is (E).", "from": "gpt" } ]

[ { "value": "Question: From the set of numbers x, y, t, z, p, q and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x,p,q), etc and (x,y)=(y,x)\\nOptions:\\n(A) 10\\n(B) 14\\n(C) 45\\n(D) 63\\n(E) 80 Random thoughts:", "from": "human" }, { "value": "Another way: Any letter (x, y, z, w, p, q) can be included or not. So, we have 2^6 combinations - 1 empty combination = 63 combinations The final answer: (D).", "from": "gpt" } ]

[ { "value": "In what time will a bus 200 m long cross in the road, if its speed be 72 km/hr?\\nOptions:\\n(A) 15\\n(B) 20\\n(C) 14\\n(D) 10\\n(E) 12 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Speed = 72 * 5/18 = 20 m/sec\\nTime taken = 200/20 = 10 sec. So, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: There are 3 teams each with 4 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\\nOptions:\\n(A) 50\\n(B) 23\\n(C) 48\\n(D) 28\\n(E) 45 Let's think first. Some random reasoning:", "from": "human" }, { "value": "There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 16 possibilities (4*4) since each team has 4 players. So there are a total of 48 possibilities (16*3). I hope this method is easier for you to understand. The final answer: (C).", "from": "gpt" } ]

[ { "value": "Question: 123 : 36 : : 221 : ?\\nOptions:\\n(A) 52\\n(B) 69\\n(C) 72\\n(D) 25\\n(E) 32 Let's think first. Some random reasoning:", "from": "human" }, { "value": "(1+2+3)^2 = 36\\n(2+2+1)^2 = 25 The final answer: (D).", "from": "gpt" } ]

[ { "value": "All of the bonds on a certain exchange are designated by a 3-letter, a 4-letter, or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different bonds that can be designate with these codes?\\nOptions:\\n(A) 26(26^3 + 26^4) \\n(B) 26(26^3 + 26^5) \\n(C) 27(26^3 + 26^5) \\n(D) 27(26^3) + 26^5\\n(E) 26^3 + 27(26^5) Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "3-letter codes = 26^3;\\n4-letter codes = 26^4;\\n5-letter codes = 26^5;\\nTotal = 26^3 + 26^4 + 26^5 = 26^3(1+26) + 26^5 = 26^3*27 + 26^5. So the answer is (D).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. How many factors does 49^2 have?\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 24\\n(D) 25\\n(E) 36", "from": "human" }, { "value": "36^2 = 6*6*6*6 = 2^4*3^4\\nTotal factors = (4+1)*(4+1) = 6*6 = 36 So the final answer is (E).", "from": "gpt" } ]

[ { "value": "If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 72 percent to salaries, what fraction of its budget remains for other allocations?\\nOptions:\\n(A) 4/5\\n(B) 2/25\\n(C) 3/10\\n(D) 1/5\\n(E) 1/10 Stream of consciousness:", "from": "human" }, { "value": "10 + 10 + 72 = 92% 100 - 92 = 8% to all others\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. How many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 23 sec\\n(B) 65 sec\\n(C) 25 sec\\n(D) 45 sec\\n(E) 24 sec", "from": "human" }, { "value": "D = 100 + 130 = 230\\nS = 36 * 5/18 = 10 mps\\nT = 230/10 = 23 sec So the final answer is (A).", "from": "gpt" } ]

[ { "value": "Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 600 or over 760. If the individual ranges of the three people's scores in those 5 practice tests were 20, 60 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.\\nOptions:\\n(A) 40\\n(B) 60\\n(C) 70\\n(D) 100\\n(E) 110 Let's think first. Some random reasoning:", "from": "human" }, { "value": "According to the information in the question the maximum range would be between 600 and 760(160). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 160-90 or 70. The final answer: (C).", "from": "gpt" } ]

[ { "value": "Question: 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 1.5 km long?\\nOptions:\\n(A) 4\\n(B) 3\\n(C) 5\\n(D) 7\\n(E) 9 Let's think first. Some random reasoning:", "from": "human" }, { "value": "D = 25 * 60 + 1500 = 3000 m\\nT = 3000/60 * 18/5 = 180 sec = 3 mins The final answer: (B).", "from": "gpt" } ]

[ { "value": "One copy machine can make 30 copies a minute, and a second copy machine makes 20 copies a minute. If the two copiers work together, how long would it take them to make 2,000 copies?\\nOptions:\\n(A) 20 minutes\\n(B) 40 minutes\\n(C) 45 minutes\\n(D) 50 minutes\\n(E) 55 minutes Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Total work done by both machines in a minute = 30 + 20 = 50 copies\\nTotal number of copies required = 2000\\nTime = 2000/50 = 40 mins\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "Q: A can do a piece of work in 24 days. B in 15 days and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?\\nOptions:\\n(A) 8 2/5days\\n(B) 10 2/5days\\n(C) 6 2/5days\\n(D) 18 2/5days\\n(E) 17 2/5days Let's give some random thoughts before answering.", "from": "human" }, { "value": "A + B = 1/24 + 1/15 = 13/120\\nA + C = 1/24 + 1/12 = 1/8\\n13/120 + 1/8 = 28/120\\n4 1/5 days * 2 = 8 2/5days\nTherefore, the answer is (A).", "from": "gpt" } ]

[ { "value": "Question: The edge of a cube is 4a cm. Find its surface?\\nOptions:\\n(A) 104a2 cm2\\n(B) 64a2 cm2\\n(C) 96a2 cm2\\n(D) 84a2 cm2\\n(E) 56a2 cm2 Let's think first. Some random reasoning:", "from": "human" }, { "value": "6a2 = 6 * 4a * 4a = 96a2 The final answer: (C).", "from": "gpt" } ]

[ { "value": "Student: A train running at the speed of 90 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) 288\\n(E) 300.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Speed = 90*(5/18) m/sec = 75/3 m/sec\\nLength of Train (Distance) = Speed * Time\\n(75/3) * 12 = 300 meter Final answer: (E).", "from": "gpt" } ]

[ { "value": "Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 101 players took part in that tournament. How many matches were played?\\nOptions:\\n(A) 90 matches\\n(B) 95 matches\\n(C) 99 matches\\n(D) 100 matches\\n(E) 87 matches Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "D\\n100 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 100 matches were playe So the answer is (D).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. If f(x)=1/x and x is a natural number, what CANNOT be the answer for f(f(x))?\\nOptions:\\n(A) 1/7\\n(B) 3\\n(C) 12/3\\n(D) 6/6\\n(E) 1", "from": "human" }, { "value": "Answer A is impossible because the invers of 1/x is x, and the only way to have something other than a natural number is to input something other than a natural number. With the specification that only natural numbers may be used 1/7 is not a possibility for f(f(x))\nThe answer: (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A bag contains nine black balls, three red balls and four red balls. In how many ways can two balls be drawn from the bag?\\nOptions:\\n(A) ¹⁶C₂\\n(B) ⁹C₂\\n(C) ³C₂\\n(D) ¹²C₂\\n(E) ¹⁴C₂", "from": "human" }, { "value": "Total number of balls = 9 + 3 + 4\\nTwo balls can be drawn from 16 balls in ¹⁶C₂ ways.\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Some question: If R is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then R/13 is =\\nOptions:\\n(A) 40320\\n(B) 21840\\n(C) 1680\\n(D) 840\\n(E) 240\nSome stream of consciousness:", "from": "human" }, { "value": "The integer should be divisible by: 12, 13, 14, 15 and 16, that is 3*2^2, 13, 2*7, 3*5 and 2^4. The least common multiple of these integers is the product of 13, 7, 5, 3 and 2^4. Then, R/13 is (13 * 7 * 5 * 3 * 2^4)/13 = 7*5*3*16 = 1680. The answer: (C).", "from": "gpt" } ]