conversations
list |
|---|
[
{
"value": "The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?\\nOptions:\\n(A) 90, 10 kmph\\n(B) 35, 27 kmph\\n(C) 50, 60 kmph\\n(D) 45, 55 kmph\\n(E) 45, 65 kmph Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Speed of the boat in still water = (80+100)/2 = 90 kmph. Speed of the stream = (100-80)/2 = 10 kmph\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "If x is an even integer and y is an odd integer, which of the following is an even integer?\\nOptions:\\n(A) x+y\\n(B) x+2y\\n(C) 3x+y\\n(D) x+y^2\\n(E) x+y+2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Plug in an even integer for x; in this case 2\\nPlug in an odd integer for y; in this case 1\\n2+1 = 3 Odd\\n2+(2*1) = 4 Even\\n(3*2)+1 = 6 + 1 = 7 Odd\\n2+(1^2) = 2 + 1 = 3 Odd\\n2+1+2 = 5 Odd So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?\\nOptions:\\n(A) 6 2/3%\\n(B) 6 2/8%\\n(C) 6 9/3%\\n(D) 6 2/3%\\n(E) 6 2/1% OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "4/9 P = (P*R*R)/100\\nR = 20/3 = 6 2/3% The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. In a school of 650 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 173\\n(B) 163\\n(C) 153\\n(D) 143\\n(E) 117",
"from": "human"
},
{
"value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n650 * 18/100 = 117\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In an office, 10 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\\nOptions:\\n(A) 16\\n(B) 64\\n(C) 50\\n(D) 144\\n(E) 160",
"from": "human"
},
{
"value": "(10/100)Workers = 16 = > number of workers = 160\\n(10/100)*Workers = x+16 = > x = 16\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. John makes $50 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?\\nOptions:\\n(A) 15%\\n(B) 16.66%\\n(C) 50%\\n(D) 19%\\n(E) 21%",
"from": "human"
},
{
"value": "Increase = (25/50)*100 = (1/2)*100 = 50%.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "What is the sum of all the prime numbers greater than 50 but less than 70?\\nOptions:\\n(A) 249\\n(B) 248\\n(C) 246\\n(D) 240\\n(E) 241 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Required sum = (53 + 59 + 61 + 67 ) = 240\\nNote: 1 is not a prime number So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 5 sec\\n(B) 4 sec\\n(C) 3 sec\\n(D) 6 sec\\n(E) 1 sec Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "T = 50/36 * 18/5 = 5 sec\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\\nOptions:\\n(A) 122\\n(B) 156\\n(C) 118\\n(D) 125\\n(E) 123 Stream of consciousness:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 44 = 484\\n1 to 6 = 6 * 49 = 294\\n6 to 11 = 6 * 52 = 312\\n6th = 294 + 312 – 484 = 122\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "10 men and 15 women together can complete a work in 7 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\\nOptions:\\n(A) 127 days\\n(B) 667 days\\n(C) 177 days\\n(D) 187 days\\n(E) 350 days Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1 man's 1 day work = 1/100\\n(10 men + 15 women)'s 1 day work = 1/7\\n15 women's 1 day work = (1/7 - 10/100) = 3/70\\n1 woman's 1 day work = 1/350\\n1 woman alone can complete the work in 350 days. So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?\\nOptions:\\n(A) 90\\n(B) 100\\n(C) 110\\n(D) 180\\n(E) 200 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. How many seconds will a train 140 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) 29 sec\\n(C) 24 sec\\n(D) 25 sec\\n(E) 26 sec",
"from": "human"
},
{
"value": "D = 140 + 150 = 290\\nS = 36 * 5/18 = 10 mps\\nT = 290/10 = 29 sec So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "What is the units digit of the expression 14^7−16^4?\\nOptions:\\n(A) 0\\n(B) 3\\n(C) 8\\n(D) 6\\n(E) 4 Stream of consciousness:",
"from": "human"
},
{
"value": "I think answer on this one should be C too. Since we know that 14^7>16^4, as Will said one should always check if the number is positive.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A train 510 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\\n(B) 52\\n(C) 26\\n(D) 21\\n(E) 14",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 510 + 140 = 650 m\\nRequired time = 650 * 2/25 = 52 sec\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Which among the following is the greatest?\\nOptions:\\n(A) 2^3^2\\n(B) 2^2^3\\n(C) 3^2^3\\n(D) 3^3^3\\n(E) 5^3^3 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "2^3^2 = 29\\n2^2^3 = 28\\n3^2^3 = 38\\n3^3^3 = 327\\nAs 327 > 38, 29 > 28 and 327 > 29. Hence 327 is the greatest among the four.\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?\\nOptions:\\n(A) 2528\\n(B) 2526\\n(C) 2522\\n(D) 2722\\n(E) 2426.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "A = 1600(21/20)3 = 2522 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\\nOptions:\\n(A) 45%\\n(B) 48%\\n(C) 57%\\n(D) 59%\\n(E) 61% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Total number of votes polled = (5136 + 7636 + 11628) = 24400\\nSo, Required percentage = 11628/24400 * 100 = 48%\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie?\\nOptions:\\n(A) 8C5\\n(B) 8*7*6*5*4\\n(C) 5!\\n(D) 8!/5!\\n(E) 8*5\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Choosing 5 out of 8, when order matters P58, or choosing 5 out of 8, without order and then arranging: C58∗5! The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 5\\n(D) 8\\n(E) 9 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "If he draws any combination of 3 socks he will definitely have the matching pair of either colour.\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "If the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is?\\nOptions:\\n(A) 16\\n(B) 127\\n(C) 12\\n(D) 18\\n(E) 100 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Percentage of profit = 25/25 * 100 = 100%\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible\\nOptions:\\n(A) 3\\n(B) 6\\n(C) 4\\n(D) 8\\n(E) 10 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Mother has a fixed place and father, so there are 3! ways to arrange the children, hence So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is four miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 8\\n(D) 10\\n(E) 11 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "It's a simple geometry problem. Look at the diagram below:\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A boy needs to deliver three different newspaper to three different house. The problem is that he doesn't know which newspaper belong to which house. Find the probability that the boy only got one house with the wrong newspaper.\\nOptions:\\n(A) 0\\n(B) 1/3\\n(C) 2/3\\n(D) 4/27\\n(E) 1/27 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "This one is a trick question. There are three house and three different newspapers. If he only got one wrong delivery, it means that he got the other two house correct. This is not possible because there are only three newspaper. If there are two correct delivery made the remaining one must also be correct. So the possibility of getting o my one of the delivery made wrong is impossible ore 0\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of first 14 even numbers is?\\nOptions:\\n(A) 19\\n(B) 18\\n(C) 16\\n(D) 11\\n(E) 15 Stream of consciousness:",
"from": "human"
},
{
"value": "Sum of 14 even numbers = 14 * 15 = 210\\nAverage = 210/14 = 15\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:\\nOptions:\\n(A) 12\\n(B) 10\\n(C) 14\\n(D) 25\\n(E) 15 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Dividend Rs 20 = (9/100*20) = 9/5\\n12 is an income on Rs 100\\nRs 9/5 is an income Rs (100/12*9/5) = Rs 15 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The average of eight results is 37 and that of the first seven is 40. The eighth result is?\\nOptions:\\n(A) 25\\n(B) 30\\n(C) 12\\n(D) 37\\n(E) 16 Stream of consciousness:",
"from": "human"
},
{
"value": "8 * 37 – 7 * 40 = 16\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.\\n(i) Ladu not eaten on monday\\n(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.\\n(iii) Peda is eaten the day following the day of eating Jilebi\\n(iv) If Ladu eaten on tuesday, kaju should be eaten on monday\\nbased on above, peda can be eaten on any day except\\nOptions:\\n(A) monday\\n(B) tuesday\\n(C) tuWesday\\n(D) wednesday\\n(E) friday",
"from": "human"
},
{
"value": "From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "How many positive integers less than 50 have a reminder 01 when divided by 4?\\nOptions:\\n(A) 13\\n(B) 14\\n(C) 15\\n(D) 16\\n(E) 17 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?\\nOptions:\\n(A) 70\\n(B) 50\\n(C) 40\\n(D) 20\\n(E) 30",
"from": "human"
},
{
"value": "16+31+23 = 70\\n100-70 = 30\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?\\nOptions:\\n(A) 180/63 days\\n(B) 160/13 days\\n(C) 180/13 days\\n(D) 680/13 days\\n(E) 180/63 days.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "One day work of A and B = 1/12\\nOne day work of B and C = 1/30\\nOne day work of C and A = 1/36\\n2(A + B + C) = 1/12 + 1/30 + 1/36\\n2(A + B + C) = 13/90\\n(A + B + C) = 13/180\\nNumber of days required = 180/13 days. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?\\nOptions:\\n(A) 190 metres\\n(B) 160 metres\\n(C) 180 metres\\n(D) 120 metres\\n(E) 200 metres\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s\\nTime taken to cross, t = 18 s\\nDistance Covered, d = vt = (400/36)× 18 = 200 m\\nDistance covered is equal to the length of the train = 200 m The answer: (E).",
"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 6 days?\\nOptions:\\n(A) 2/5\\n(B) 1/6\\n(C) 1/3\\n(D) 1/9\\n(E) 2/6 Stream of consciousness first, then make a decision:",
"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 6 days = 6 (1/18) = 1/3.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The distance between West-Town to East-Town is 14 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 5 kilometers per minute and the second bird, leaving from East-Town, at a speed of 2 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?\\nOptions:\\n(A) 3.\\n(B) 7.\\n(C) 10.\\n(D) 12.\\n(E) 15.",
"from": "human"
},
{
"value": "Time taken by the birds to meet = 14/(5+ 2) = 2 mins\\nDistance traveled by the bird traveling from West-Town = 5 * 2 = 10\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 420 feet in circumference.After how many minutes are the three of them together again?\\nOptions:\\n(A) 5 mins\\n(B) 10 mins\\n(C) 15 mins\\n(D) 3 mins\\n(E) 7 mins Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "The time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 7 mins. The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A train 180 m long running at 70 kmph crosses a platform in 20 sec. What is the length of the platform?\\nOptions:\\n(A) 208\\n(B) 277\\n(C) 350\\n(D) 881\\n(E) 271",
"from": "human"
},
{
"value": "D = 70 * 5/18 = 20 = 388 – 180 = 208\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "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 10 minutes, how much time will she spend doing yoga? (rounded to minutes)\\nOptions:\\n(A) 10 min.\\n(B) 41 min.\\n(C) 17 min.\\n(D) 23 min.\\n(E) 25 min. Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Which one of the following is not a prime number?\\nOptions:\\n(A) 51\\n(B) 61\\n(C) 71\\n(D) 82\\n(E) 91 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "91 is divisible by 7. So, it is not a prime number.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: In the following alphabet second half is written first and then the first half is arranged in reverse order.\\nThen which of the following will be the 5th letter to the left of 16th letter from the right?\\nA B C D E F G H I J K L M N O P Q R S T U V W X Y Z\\nOptions:\\n(A) S\\n(B) Y\\n(C) U\\n(D) H\\n(E) K.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "N O P Q R S T U V W X Y Z M L K J I H G F E D C B A\\n(16 + 5) = 21th letter from your right is S. Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?\\nOptions:\\n(A) 27\\n(B) 23\\n(C) 24\\n(D) 25\\n(E) 26 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "1/x+1/2x = 1/18 = > 3/2x = 1/18 = > x = 27 days. Hence, A alone can finish the work in 27 days. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\\nOptions:\\n(A) 2888\\n(B) 3000\\n(C) 2887\\n(D) 27781\\n(E) 2788 Stream of consciousness:",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n100/247 * 7410 = 3000\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the product of the localvalue and absolutevalue of 7 in 20768?\\nOptions:\\n(A) 9200\\n(B) 1100\\n(C) 4900\\n(D) 3200\\n(E) 1600",
"from": "human"
},
{
"value": "Local value of 7 = 7 x 100 = 700\\nPlace value of 7 = 7\\nThere fore = 7 x 700 = 4900\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\\nOptions:\\n(A) 2m −1\\n(B) 4m\\n(C) 6m\\n(D) m/5\\n(E) 8m Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "23m - n = p\\nAdd n to both sides:\\n23m = n + p\\nAdd m to both sides:\\n24m = n + p + m\\nNow, divide both sides by 3\\n8m = (n + p + m)/3 = the average of n, p, and m\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.\\nOptions:\\n(A) 223\\n(B) 776\\n(C) 287\\n(D) 196\\n(E) 211 Stream of consciousness:",
"from": "human"
},
{
"value": "Division of m+n+p objects into three groups is given by (m+n+p)!m!×n!×p!(m+n+p)!m!×n!×p!\\nBut 7 = 1 + 3 + 3 or 1 + 2 + 4 or 1 + 1 + 5\\nSo The number of ways are (7)!1!×3!×3!×12!(7)!1!×3!×3!×12! + (7)!1!×2!×4!(7)!1!×2!×4! + (7)!1!×1!×5!×12!(7)!1!×1!×5!×12! = 70 + 105 + 21 = 196\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A corporation triples its annual bonus to 50 of its employees. What percent R of the employees’ new bonus is the increase?\\nOptions:\\n(A) 50%\\n(B) 662⁄3%\\n(C) 100%\\n(D) 200%\\n(E) 300% Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "R of the employees’ new bonus is the increase Hence\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "There are 5person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\\nOptions:\\n(A) 4!*2!\\n(B) 2!*2!\\n(C) 6!*1!\\n(D) 2!*1!\\n(E) 5!*1! Stream of consciousness:",
"from": "human"
},
{
"value": "Total number of ways = 2!*2!.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\\nOptions:\\n(A) 8112\\n(B) 8000\\n(C) 8500\\n(D) 7500\\n(E) 6500 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "A = 7500(26/25)2 = 8112 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If man pays 20 for each km which he travels by taxi\\nand 10 for each km which he travels by bus. If in one\\nweek he payed 800 for traveling 60 km. How many kilometers did he travel by taxi ?\\nOptions:\\n(A) 23\\n(B) 78\\n(C) 27\\n(D) 29\\n(E) 20\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Let the distance covered by the taxi be 'x' km. Then, distance covered by bus = (60 – x) km. 20x + 10 (60 – x)⇒20x + 600 – 10x = 800 10x = 200 ⇒ x = 20 km. He traveled 20 km by taxi. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: What should come in the place of the question mark(?) in the following equation?\\n69012 – 20167 + (51246 ÷ 6) = ?\\nOptions:\\n(A) 57385\\n(B) 57286\\n(C) 57476\\n(D) 57368\\n(E) None of these Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "? = 48845 + 51246⁄6 = 48845 + 8541 = 57386 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Solve below question 2x - 1 = 17\\nOptions:\\n(A) -8\\n(B) -9\\n(C) -5\\n(D) -4\\n(E) 9 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?\\nOptions:\\n(A) 25%\\n(B) 50%\\n(C) 75%\\n(D) 100%\\n(E) 150% Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Dolphin once in 3 min;\\nBeluga once in 6 min;\\nSo, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100. The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word ‘EXTENT’ be arranged?\\nOptions:\\n(A) 250\\n(B) 180\\n(C) 300\\n(D) 310\\n(E) 360 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of ways = 6!/2!2! = 6X5X4X3X2X1/2X1X2X1 = 180\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder S when N is divided by 30?\\nOptions:\\n(A) (a) 4\\n(B) (b) 7\\n(C) (c) 11\\n(D) (d) 13\\n(E) (e) 17 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder S when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?\\nOptions:\\n(A) At least one of U and V is odd\\n(B) The sum U + V is odd\\n(C) U and V share no common factors other than 1\\n(D) UV is odd.\\n(E) U is odd Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "At least one of U and V is odd\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: What should come in place of the question mark (?) in the following equation?\\n12400 + 6899 = 610+ ?\\nOptions:\\n(A) 12345\\n(B) 56894\\n(C) 18689\\n(D) 23478\\n(E) 94561 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "12400 + 6899 = 610+ ?\\n12400 + 6899 – 610 = 18689 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the odd man out\\n253, 136, 352, 327, 631, 244\\nOptions:\\n(A) 327\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "The sum all three digits comes to 10 except 327 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?\\nOptions:\\n(A) 13440\\n(B) 1440\\n(C) 360\\n(D) 120\\n(E) None of these OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "When the vowels are always together, then treat all the vowels as a single letter and then all the letters can be arranged in 6! ways and also all three vowels can be arranged in 3! ways. Hence, required no. of arrangements = 6! × 3! = 4320. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?\\nOptions:\\n(A) 27\\n(B) 16\\n(C) 12\\n(D) 18\\n(E) 11 Random thoughts:",
"from": "human"
},
{
"value": "2 * π * 2r * 3r = 12 πr2 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: A no.when divided by 221 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?\\nOptions:\\n(A) 3\\n(B) 6\\n(C) 9\\n(D) 11\\n(E) 14 Random thoughts:",
"from": "human"
},
{
"value": "221 + 43 = 264/17 = 9 (Remainder) The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: A man walks at a speed of 3 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) 2 1/2\\n(B) 2 1/6\\n(C) 4 1/2\\n(D) 2 1/1\\n(E) 2 1/8 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. At what rate percent on simple interest will a sum of money double itself in 60 years?\\nOptions:\\n(A) 3 1/3%\\n(B) 3 1/9%\\n(C) 1 2/3%\\n(D) 3 2/3%\\n(E) 3 6/3%",
"from": "human"
},
{
"value": "P = (P*60*R)/100\\nR = 1 2/3%\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Two trains are moving at 45kmph 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) 40/6 sec\\n(B) 43/6 sec\\n(C) 47/6 sec\\n(D) 40/3 sec\\n(E) 40/7 sec Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "70 + 45 = 115 * 5/18 = 575/18 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 18/575 = 15/2 = 47/6 se\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "252 can be expressed as a product of primes as :\\nOptions:\\n(A) 2 x 2 x 3 x 3 x 7\\n(B) 2 x 2 x 2 x 3 x 7\\n(C) 3 x 3 x 3 x 3 x 7\\n(D) 2 x 3 x 3 x 3 x 7\\n(E) 2 x 3 x 7 x 3 x 2 Stream of consciousness:",
"from": "human"
},
{
"value": "252 = 2 x 2 x 3 x 3 x 7.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Find the third proportional to 9 and 12?\\nOptions:\\n(A) 10\\n(B) 12\\n(C) 16\\n(D) 19\\n(E) 20 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Formula = Third proportional = (b × b)/a\\nA = 9 and B = 12\\n(12 × 12)/ 9 = 144/9 = 16\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Solve:-\\n444 x 444 x 444 + 555 x 555 x 555 = ?(444 x 444 - 444 x 555 + 555 x 555)\\nOptions:\\n(A) 888\\n(B) 333\\n(C) 999\\n(D) 988\\n(E) 889 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Given Exp. = (a3 + b3) = (a + b) = (444 + 555) = 999(a2 - ab + b2)\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?\\nOptions:\\n(A) A) 12\\n(B) B) 14\\n(C) C) 27\\n(D) D) 53\\n(E) E) 17 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "In this series, each number is repeated, then 12 is subtracted to arrive at the next number.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "There are 8 books in a shelf that consist of 1 paperback books and 7 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) 21\\n(B) 45\\n(C) 50\\n(D) 55\\n(E) 60 Stream of consciousness:",
"from": "human"
},
{
"value": "8C3 [Select any four] - 7C3 [Select all hard backs] = 21\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\\nOptions:\\n(A) Rs.345\\n(B) Rs.270\\n(C) Rs.275\\n(D) Rs.324\\n(E) Rs.325\nSome stream of consciousness:",
"from": "human"
},
{
"value": "I = (500*9*6)/100 = 270 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 545\\n(C) 88\\n(D) 66\\n(E) 09 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "S = (100 + 300)/45 = 400/45 * 18/5 = 32 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Two workers can type two pages in two minuets then how many persons can type 18 pages in 6 minuets\\nOptions:\\n(A) 2Workers\\n(B) 3Workers\\n(C) 6Workers\\n(D) 7Workers\\n(E) 8Workers Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "2Worker 2pages 2minutes\\n1Worker 1page 2minutes\\n1worker 18pages 36minutes\\nTherefore to reduce the time by 6 times, workers should be increased by 6 times\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Ten telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?\\nOptions:\\n(A) 120\\n(B) 126\\n(C) 252\\n(D) 1200\\n(E) 1260 Random thoughts:",
"from": "human"
},
{
"value": "My ans is 10C3 = 120 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\\nOptions:\\n(A) 4/5\\n(B) 3/5\\n(C) 3/10\\n(D) 1/20\\n(E) 1/40 Random thoughts:",
"from": "human"
},
{
"value": "25 + 15 + 55 = 95% 100 - 95 = 5% to all others The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\\nOptions:\\n(A) 228\\n(B) 108\\n(C) 1266\\n(D) 188\\n(E) 211",
"from": "human"
},
{
"value": "S = 180/6 * 18/5 = 108 kmph\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: Four of the following five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\\nOptions:\\n(A) xy2 – x2y + 2x2y2\\n(B) xy2(1 – 2x) + x2y(2y – 1) \\n(C) xy2(1 + x) – x2y(1 – y) \\n(D) xy[y(1 + x) – x(1 – y) ]\\n(E) xy(y – x + 2xy) Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "The other parts are equal to xy2 – x2y + 2x2y2.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Two persons A and B can complete a piece of work in 15 days and 30 days respectively. If they work together, what part of the work will be completed in 5 days?\\nOptions:\\n(A) 1/8\\n(B) 1/3\\n(C) 1/6\\n(D) 1/2\\n(E) 5/3 Stream of consciousness:",
"from": "human"
},
{
"value": "A's one day's work = 1/15\\nB's one day's work = 1/30\\n(A + B)'s one day's work = 1/15 + 1/30 = 1/10\\nThe part of the work completed in 5 days = 5 (1/10) = 1/2.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?\\nOptions:\\n(A) 3887\\n(B) 2768\\n(C) 15000\\n(D) 76887\\n(E) 16711 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Principal = (100 * 5400) / (12 * 3) = Rs. 15000\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature required to boil liquid A and liquid B differed by 35 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?\\nOptions:\\n(A) a) 17\\n(B) b) 13\\n(C) c) 25\\n(D) d) 45\\n(E) e) 81 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick A which is the only number near half of 35. The other answer choices are too far apart so no need to calculate.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?\\nOptions:\\n(A) 3 hours\\n(B) 6 hours\\n(C) 4 hours\\n(D) 8 hours\\n(E) 10 hours Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of pages typed by Ronald in one hour = 32/6 = 16/3\\nNumber of pages typed by Elan in one hour = 40/5 = 8\\nNumber of pages typed by both in one hour = ((16/3) + 8) = 40/3\\nTherefore, time taken by both to type 110 pages = 110 x 3/40 = 8 hours.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: How much 60% of 50 is greater than 40% of 30?\\nOptions:\\n(A) 18\\n(B) 99\\n(C) 66\\n(D) 55\\n(E) 71 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "(60/100) * 50 – (40/100) * 30\\n30 - 12 = 18\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\\nOptions:\\n(A) 2^9\\n(B) 2^11\\n(C) 3 * 2^8\\n(D) 3 * 2^9\\n(E) 3 * 2^10 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Fix the third coin as H. The remaining 11 coins have 2^11 outcomes.\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 25 payments is to be $500; each of the remaining payments is to be $100 more than each of the first 25 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?\\nOptions:\\n(A) 500\\n(B) 450\\n(C) 552\\n(D) 600\\n(E) 400 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Total = 500(25) + 600(27)\\nNumber of installments = 52\\nAverage = Total/Number of installments = 552 approximately\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: 5,9,18,30,50,__\\nOptions:\\n(A) 79\\n(B) 80\\n(C) 81\\n(D) 82\\n(E) 83 Random thoughts:",
"from": "human"
},
{
"value": "(9+5) +4 = 18\\n(16+9) +5 = 30\\n(28+16)+6 = 50\\n(48+28)+7 = 83 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?\\nOptions:\\n(A) AC/B\\n(B) (A+C) /B\\n(C) (A+B) /C\\n(D) AB/C\\n(E) (A-C) /B Random thoughts:",
"from": "human"
},
{
"value": "Since today's is Daniel's birthday, his age must be an integer. As per the question, let A = 12, B = 2, and C = 6. Plugging these into the answer choices, only C does not yield an integer. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The purchase price of an article is $48. In order to include 10% of cost for overhead and to provide $12 of net profit, the markup should be\\nOptions:\\n(A) 15%\\n(B) 25%\\n(C) 35%\\n(D) 40%\\n(E) 45% Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Cost price of article = 48$\\n% of overhead cost = 10\\nNet profit = 12 $\\nWe need to calculate % markup\\nNet profit as % of cost price = (12/48)*100 = 25%\\nTotal markup should be = 25 + 10 = 35% So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find 96 ×× 97\\nOptions:\\n(A) 91/198\\n(B) 91/12\\n(C) 91/13\\n(D) 91/10\\n(E) 91/11 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Here both numbers are less than 100. So they are deficient of - 4 and - 3 compared with 100. So\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?\\nOptions:\\n(A) 400\\n(B) 600\\n(C) 750\\n(D) 2400\\n(E) 3200 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Answer A) 10800 yards need 1200 lbs\\n1 Yard will need 1200/10800 = 1/9 lbs\\n3600 Yards will need 1/9* 3600 Yards = 400lbs The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "From the set of numbers x, y, t, z, s and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x,s), etc and (x,y)=(y,x)\\nOptions:\\n(A) 10\\n(B) 14\\n(C) 15\\n(D) 16\\n(E) 31 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Another way: Any letter (x, y, z, w, s) can be included or not. So, we have 2^5 combinations - 1 empty combination = 31 combinations So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: During a sale, the price of a pair of shoes is marked down 10% 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%\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Assume the price = 100\\nPrice during sale = 90\\nPrice after sale = 100\\nPercent increase = 10/90*100 = 11% approx. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average age of a class of 42 students is 16 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) 59 Years OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Total age of students is 42X16 = 672 Years\\nTotal age inclusive of teacher = 43X (16+1) = 731\\nSo, Teacher's age is 731-672 = 59 Yrs\\nThere is a shortcut for these type of problems\\nTeacher's age is 16+(43X1) = 59 Years The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A no.when divided by 281 gives a remainder 160, what remainder will be obtainedby dividingthe same no.21?\\nOptions:\\n(A) 21\\n(B) 22\\n(C) 23\\n(D) 24\\n(E) 25 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "281 + 160 = 441/21 = 21 (Remainder)\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word ‘PREPTY’ be arranged?\\nOptions:\\n(A) 280\\n(B) 290\\n(C) 300\\n(D) 340\\n(E) 360 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?\\nOptions:\\n(A) 30\\n(B) 60\\n(C) 90\\n(D) 180\\n(E) 540",
"from": "human"
},
{
"value": "Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15\\nThree groups can select three subjects in 6 ways\\nTherefore total combinations = 15*6 = 90\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Rs. 1400 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/3:1/3:1/6?\\nOptions:\\n(A) 300\\n(B) 992\\n(C) 772\\n(D) 552\\n(E) 280 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "1/3:1/3:1/6 = 2:2:1\\n1/5*1400 = 280\\n560-280 = 280\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?\\nOptions:\\n(A) 90% increase\\n(B) 45% increase\\n(C) 9% decrease\\n(D) Same as before\\n(E) NONE Random thoughts:",
"from": "human"
},
{
"value": "(30 * 30)/100 = 9% decrease The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\\nOptions:\\n(A) 338\\n(B) 277\\n(C) 342\\n(D) 882\\n(E) 212 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "400*(90/100)*(95/100) = 342\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?\\nOptions:\\n(A) 5 7/9 days\\n(B) 6 7/9 days\\n(C) 5 1/9 days\\n(D) 5 7/2 days\\n(E) 4 2/7 days",
"from": "human"
},
{
"value": "1/15 + 1/6 = 7/30\\n30/7 = 4 2/7 days\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6\\n(B) 5\\n(C) 7\\n(D) 3\\n(E) 2 Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 90/3 = 30 kmph\\nSpeed upstream = d/t = 72/(3) = 24 kmph\\nThe speed of the stream = (30 - 24)/2 = 3 kmph\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. How many 4 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) 20\\n(B) 40\\n(C) 120\\n(D) 60\\n(E) 10",
"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 fourth letter\\nSecond letter can be filled in 5 Ways\\nThird letter can be filled in 4 Ways\\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 1 ways = 40\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The price of a T.V. set worth Rs. 60000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\\nOptions:\\n(A) 22678\\n(B) 59000\\n(C) 26788\\n(D) 19000\\n(E) 26711\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 1000\\nBalance payment = (60000 - 1000) = Rs. 59000 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "How much time will it take for an amount of 1000 to yield 100 as interest at 5% per annum of simple interest?\\nOptions:\\n(A) 3 years\\n(B) 4 years\\n(C) 2 years\\n(D) 5 years\\n(E) 7 years OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Time = (100 x 100)/(1000 x 5) years = 2 years. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?\\nOptions:\\n(A) 235 miles.\\n(B) 245 miles.\\n(C) 255 miles.\\n(D) 265 miles.\\n(E) 275 miles. Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The total distance D traveled by John is given by\\nD = 45 * 2 + 3 * 55 = 255 miles. So, the answer is (C).",
"from": "gpt"
}
] |
Subsets and Splits