[User] a piece of ribbon 4 yard long is used to make bows requiring 15 inches of ribbon for each.What is the maximum number of bows that can be made.\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5 Let's think first. Stream of consciousness:

[Assistant]
1 yard = 36 Inch\n4 yard = 36*4 = 144 inch\n15 inch req. for 1 bow\nMax. no. of bows possible = 144/15 = 9 bows and 9 inch ribbon left.
So, the answer is (A).


[User] Find the odd man out 3, 5, 7, 12, 13, 17, 19\nOptions:\n(A) 3\n(B) 5\n(C) 7\n(D) 12\n(E) 13 Let's think first. Stream of consciousness:

[Assistant]
12 is an even number while the others are od
So, the answer is (D).


[User]
Some question: In case O 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) P and Q\n(E) T and U
Some stream of consciousness:

[Assistant] P and Q should serve on A The answer: (D).


[User] A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 144\n(C) 1266\n(D) 188\n(E) 211 Think first, then make a decision. Some random thoughts:

[Assistant] S = 240/6 * 18/5 = 144 kmph So the answer is (B).


[User]
Some question: If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) f(x) \n(B) 1/-f(x) \n(C) -2/-f(x) \n(D) -3/-f(x) \n(E) -f(x)
Some stream of consciousness:

[Assistant] If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x) The answer: (E).


[User] How much more would Rs.40000 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) 725\n(C) 964\n(D) 837\n(E) 923 Now, let's think a bit. Some random thoughts:

[Assistant]
40000(11/10)4 - 40000(6/5)2 = 964
The final answer: (C).


[User] The average of seven numbers is 18. 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) 26\n(B) 27\n(C) 29\n(D) 32\n(E) 36 Let's think first. Stream of consciousness:

[Assistant]
The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (126 - 99 ) = 27
So, the answer is (B).


[User]
Student: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length?\nOptions:\n(A) 18.9 sec\n(B) 88.9 sec\n(C) 22.9 sec\n(D) 30.00 sec\n(E) 72.0 sec.
Another student: Let's say, hmmm...

[Assistant] D = 110 + 390 = 500 m\nS = 60 * 5/18 = 50/3\nT = 500 * 3/50 = 30 sec Final answer: (D).


[User] Give a quick stream of consciousness before answering the following question. If P(A) = 8/15, P(B) = 4/15, and P(A âˆª B) = 16/15 Find P(B|A)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/2\n(D) 2\n(E) 4/7

[Assistant]
P(B|A) = P(A âˆª B)/P(A)\nP(B|A) = (16/15)/(8/15) = 2.
The answer: (D).


[User] Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/2 %\n(B) 22%\n(C) 21 %\n(D) 30%\n(E) 40 % Let's think first. Some random reasoning:

[Assistant] 9 = (1*40*R)/100\nR = 22 1/2 % The final answer: (A).


[User] If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?\nPlease try to explain your answers\nOptions:\n(A) 0\n(B) 20\n(C) 50\n(D) 75\n(E) 100 Stream of consciousness first, then make a decision:

[Assistant]
First even minus first odd = 2-1 = 1;\nThe sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;\nThe sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;\nWe can see the patterns here, so the sum of first 20 positive even integers minus the sum of first 20 positive odd integers will be 20.
Thus, the answer is (B).


[User] Use some thinking to answer the following question. Mice can multiply very fast. Adult mice can give birth once every month, and baby mice grow into adult mice in just two months after they are born. If you would buy a baby mouse just after it was born, how many mice would you have in 10 months?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

[Assistant] One. You cannot have more mice if you start with one! So the final answer is (A).


[User] The average age of a family of 6 members is 24 years.If the age of the youngest member is 8 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 15\n(B) 16\n(C) 21\n(D) 12\n(E) 19 Think first, then make a decision. Some random thoughts:

[Assistant] Present age of total members = 6 X 24 = 144\n8 yrs back their ages were = 6 x 8 = 48\nAges at the birth of youngest member = 144 - 48 = 96\nTherefore, avg age at the birth of youngest member = 96/6 = 16. So the answer is (B).


[User] Question: List K consists of 10 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 11\n(E) 4 Random thoughts:

[Assistant] Answer = E = 4\nIf least = -4, then largest = 5\nRange = 5 - 1 = 4 The final answer: (E).


[User]
Some question: Scotty B is helping his brother Jimmy B with math patterns. Jimmy's paper has 12, 24, 36, 48, and a blank space.\nWhat number should Jimmy B put in the blank space?\nOptions:\n(A) 50\n(B) 58\n(C) 60\n(D) 62\n(E) 96
Some stream of consciousness:

[Assistant] C) 60- because the pattern is adding 12 each time. The answer: (C).


[User] Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 11/15 Find P(A|B)\nOptions:\n(A) 11/4\n(B) 2/3\n(C) 3/2\n(D) 4/5\n(E) 4/7 Random thoughts:

[Assistant] P(A|B) = P(A âˆª B)/P(B)\nP(A|B) = (11/15)/(4/15) = 11/4. The final answer: (A).


[User] Give a quick stream of consciousness before answering the following question. 25 children are going to a picnic. What is the smallest number of cakes that must be brought to the picnic so that each child receives the same number of cakes?\nOptions:\n(A) 35\n(B) 40\n(C) 15\n(D) 75\n(E) 9

[Assistant]
The number of children going to the picnic are 25\nThe answer will be D because only 75 is divisible by 25
The answer: (D).


[User] Use some thinking to answer the following question. One man selling a lottery there are 10 prizes and 25 no prizes. if a lottery is drawn randomly, What is the probability of getting a prize?\nOptions:\n(A) 1/5\n(B) 2/7\n(C) 2/9\n(D) 3/11\n(E) 4/11

[Assistant] P (getting a prize) = 10 = 10 = 2/7\n(10 + 25) 35 So the final answer is (B).


[User]
Some question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 2700, then his salary per month in rupees is:\nOptions:\n(A) 4000\n(B) 6000\n(C) 18000\n(D) 10000\n(E) None of these
Some stream of consciousness:

[Assistant] Total expenditure = 40 + 25 + 15 + 5 = 85%\nSaving = (100 - 85) = 15%\n15/100 × Salary = 2700, Salary = 18000 Rs. The answer: (C).


[User] Which one of the following is a prime number?\nOptions:\n(A) 45\n(B) 90\n(C) 81\n(D) 29\n(E) 91 Let's think first. Stream of consciousness:

[Assistant]
73 is divisible by 1 and itself So, it is a prime number.
So, the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?\nOptions:\n(A) 120\n(B) 150\n(C) 160\n(D) 180\n(E) 200

[Assistant]
8:12 = 2:3\nIf 240 lrs of the 2nd variety taken then the 1st variety should be taken as 160 lr
The answer: (C).


[User] Q: A and B complete a work in 9 days. A alone can do it in 18 days. If both together can do the work in how many days?\nOptions:\n(A) 6 days\n(B) 8 days\n(C) 5 days\n(D) 7 days\n(E) 15 days Let's give some random thoughts before answering.

[Assistant]
1/9 + 1/18 = 1/6\n6/1 = 6 days
Therefore, the answer is (A).


[User]
Some question: Count the two-digit whole numbers which yield a remainder of 5 when divided by 10 and also yield a remainder of 0 when divided by 3?\nOptions:\n(A) Two\n(B) Five\n(C) Three\n(D) One\n(E) Six
Some stream of consciousness:

[Assistant] Answer = C) Three\nTwo digit Numbers giving remainder 5 when divided by 10 = 15, 25, 35, 45, 55, 65, 75, 85, 95\nThe numbers giving remainder 0 when divided by 3 = 15, 45, 75 = 3 The answer: (C).


[User] Question: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?\nOptions:\n(A) 1000\n(B) 992\n(C) 772\n(D) 552\n(E) 312 Let's think first. Some random reasoning:

[Assistant] 1/5:1/5:1/10 = 2:2:1\n1/5*5000 = 1000\n2000-1000 = 1000 The final answer: (A).


[User] Question: In what time a sum of money double itself at 8% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 83 1/3%\n(D) 33 4/3%\n(E) 12 1/2% Let's think first. Some random reasoning:

[Assistant] P = (P*8*R)/100\nR = 12 1/2% The final answer: (E).


[User] Give stream of consciousness and then the final answer. Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/9\n(B) q/5\n(C) q/6\n(D) q/7\n(E) q/8

[Assistant]
Profit = q\nProfit to company founder = 2q/3\nProfit to other partners = q/3\nNumber of other partners = 3\nProfit to each partner = (q/3)/3 = q/9
The final answer: (A).


[User] If 4 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in\nOptions:\n(A) 1 day\n(B) 2 days\n(C) 3 days\n(D) 4 days\n(E) 5 days Let's think first. Stream of consciousness:

[Assistant]
The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m\nNo. of days required to paint 36 m cloth by 6 men = 36/ 6 × 2 = 3 day.
So, the answer is (C).


[User] A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 210 m long?\nOptions:\n(A) 34 Seconds\n(B) 22 Seconds\n(C) 21 Seconds\n(D) 24 Seconds\n(E) 29 Seconds Let's think first. Stream of consciousness:

[Assistant]
Distance travelled = 140 + 210m = 350m\nSpeed = 60 * 5/8 = 50/3m\nTime = 350 * 3/50 = 21 Seconds
So, the answer is (C).


[User] Give stream of consciousness and then the final answer. If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =\nOptions:\n(A)  360\n(B)  720\n(C)  2520\n(D)  3960\n(E)  6720

[Assistant]
The integer should be divisible by: 3, 4, 5, 6, 7, 8, 9 and 10, that is 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, N/7 is (7 * 5 * 3^2 * 2^3)/7 = 5*9*8 = 360.
The final answer: (A).


[User] Question: A 360 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 229\n(B) 108\n(C) 278\n(D) 216\n(E) 112 Let's think first. Some random reasoning:

[Assistant] S = 360/6 * 18/5 = 216 kmph The final answer: (D).


[User] Question: A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14 Random thoughts:

[Assistant] 125 + 40 = 165/15 = 11 (Remainder) The final answer: (B).


[User] A train 400 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) 56\n(C) 29\n(D) 27\n(E) 21 OK. Let's think. Some random thoughts first:

[Assistant] S = (400 + 300)/45 = 700/45 * 18/5 = 56 The answer: (B).


[User] Use some thinking to answer the following question. Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 226\n(B) Rs.992\n(C) 665\n(D) 771\n(E) 211

[Assistant] (800*3*3)/ 100 = 72\n920 + 72 = 992 So the final answer is (B).


[User] Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/280\n(C) 3/280\n(D) 4/56\n(E) 77/280 Random thoughts:

[Assistant] P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 2/5*3/8*5/7 + 2/5*5/8*2/7 + 3/5*3/8*2/7 = 77/280. The final answer: (E).


[User] A 600 meter long train crosses a signal post in 50 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 2 min\n(C) 8 min\n(D) 9 min\n(E) 5 min Stream of consciousness first, then make a decision:

[Assistant]
S = 600/50 = 12 mps\nS = 3600/12 = 300 sec = 5 min
Thus, the answer is (E).


[User] How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 66\n(D) 12\n(E) 99 Hmmm, my stream of consciousness:

[Assistant] (80/100) * 40 – (4/5) * 25\n32 - 20 = 12 So, the answer is (D).


[User]
Student: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 30 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 60 minutes\n(D) 27 minutes\n(E) 11 minutes.
Another student: Let's say, hmmm...

[Assistant] 1/20 - 1/30 = 1/60\n60 minutes Final answer: (C).


[User] Which of the following is not divisible by 4?\nOptions:\n(A) 10236\n(B) 21792\n(C) 47816\n(D) 91232\n(E) 72034 Think first, then make a decision. Some random thoughts:

[Assistant] Divisibility rule of 4: Last two digits of the number should be divisible by 4\nOption A: 10236, last two digits = 36. Divisible by 4\nOption B: 21792, last two digits = 92. Divisible by 4\nOption C: 47816, last two digits = 16. Divisible by 4\nOption D: 91232, last two digits = 32. Divisible by 4\nOption E: 72034, last two digits = 34. Not divisible by 4. Hence 72034 is not divisible by 4 So the answer is (E).


[User] If 2^4, 3^3, and 13^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\nOptions:\n(A) 198\n(B) 288\n(C) 363\n(D) 396\n(E) 468 Now, let's think a bit. Some random thoughts:

[Assistant]
I will go with E (pending elements to match is 2^2*3^2*13^1 = 468
The final answer: (E).


[User]
Student: What percent is 120 of 70?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 171 3/7 %.
Another student: Let's say, hmmm...

[Assistant] 120/70 = 12/7\n12/7 × 100 = 1200/7 = 171 3/7 % Final answer: (E).


[User]
Some question: Find the smallest number which should be multiplied with 520 to make it a perfect square.\nOptions:\n(A) 30\n(B) 120\n(C) 55\n(D) 35\n(E) None of these
Some stream of consciousness:

[Assistant] 520 = 26 * 20 = 2 * 13 * 22 * 5 = 23 * 13 * 5\nRequired smallest number = 2 * 13 * 5 = 130\n130 is the smallest number which should be multiplied with 520 to make it a perfect squar The answer: (E).


[User] Use some thinking to answer the following question. Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 170 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 3 sec\n(B) 8 sec\n(C) 9 sec\n(D) 5 sec\n(E) 7 sec

[Assistant] 70 + 50 = 120 * 5/18 = 100/3 mps\nD = 170 + 100 = 270 m\nT = 270 * 3/100 = 8 sec So the final answer is (B).


[User] Use some thinking to answer the following question. In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:\nOptions:\n(A) 15\n(B) 18\n(C) 20\n(D) 22\n(E) 24

[Assistant] Number = (35 * 12) = 420\nCorrect quotient = 420/21 = 20 So the final answer is (C).


[User] An enterprising businessman earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:\nOptions:\n(A) Rs 219\n(B) Rs 220\n(C) Rs 20²\n(D) Rs 20\n(E) Rs 30 Stream of consciousness:

[Assistant]
2nd day he earns = 2 = 2(2 – 1)\n3rd day he earns = 2(3 – 1)\nOn 20th day he earns 2(20 -1) = 219 rupees
Thus, the answer is (A).


[User] A train running at the speed of 50 km/hr crosses a pole in 18 seconds. Find the length of the train.\nOptions:\n(A) 150\n(B) 188\n(C) 250\n(D) 288\n(E) 300 Stream of consciousness:

[Assistant]
Speed = 50*(5/18) m/sec = 125/9 m/sec\nLength of Train (Distance) = Speed * Time\n(125/9) * 18 = 250 meter
Thus, the answer is (C).


[User]
Some question: Find a a prime number the options below.\nOptions:\n(A) 78\n(B) 80\n(C) 81\n(D) 82\n(E) 83
Some stream of consciousness:

[Assistant] Clearly, 83 is a prime number. The answer: (E).


[User] Q: What should come in place of the question mark (?) in the following equation?\n9568 – 6548 – 1024 = ?\nOptions:\n(A) 2086\n(B) 1996\n(C) 2293\n(D) 1896\n(E) None of these Let's give some random thoughts before answering.

[Assistant]
? = 9568 – 6548 – 1024 = 1996.
Therefore, the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of B?\nOptions:\n(A) 2880\n(B) 3000\n(C) 3018\n(D) 3019\n(E) 3012

[Assistant]
60*5:36*6:75*3\n100: 72: 75\n72/247 * 9880 = 2880
The answer: (A).


[User] Use some thinking to answer the following question. What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 5\n(E) 6

[Assistant] (1056 / 23) gives remainder 21\n21 + 2 = 23, So we need to add 2 So the final answer is (B).


[User] Question: A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??\nOptions:\n(A) 30 years\n(B) 40 years\n(C) 45 years\n(D) 50 years\n(E) 60 years Let's think first. Some random reasoning:

[Assistant] If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years. The final answer: (C).


[User] Q: The average of first 15 natural numbers is?\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11 Let's give some random thoughts before answering.

[Assistant]
Sum of 15 natural no. = 240/2 = 120\nAverage = 120/15 = 8
Therefore, the answer is (B).


[User] How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.\nOptions:\n(A) 1875\n(B) 2000\n(C) 2375\n(D) 2500\n(E) 3875 Stream of consciousness:

[Assistant]
Number of combo with 4 as first digit + Number of combos with 4 as second digit = 1*4*5*5*5 + 3*5*5*5 = 2375
Thus, the answer is (C).


[User] Give stream of consciousness and then the final answer. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 19 1/7 min\n(B) 15 1/7 min\n(C) 17 1/7 min\n(D) 7 1/7 min\n(E) 7 2/7 min

[Assistant]
1/20 + 1/30 - 1/40 = 7/120\n120/7 = 17 1/7
The final answer: (C).


[User] Give stream of consciousness and then the final answer. There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\nOptions:\n(A) 39\n(B) 40\n(C) 51\n(D) 58\n(E) 63

[Assistant]
{Total} = {M} + {N} - {Both}\n{Total} = 24 + 28 - 12 = 40.
The final answer: (B).


[User] An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 104/105\n(B) 119/120\n(C) 139/140\n(D) 9/10\n(E) 14/15 Stream of consciousness first, then make a decision:

[Assistant]
The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\nThe probability that she misses all shots = (prob that she misses from 30 yards)*(prob that she misses from 40 yards)*(prob that she misses from 50 yards)\nProb that she misses from 30 yards = 1 - 5/6 = 1/6; Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4\nThus the probability that she misses all shots = (1/6)*(1/5)*(1/4) = 1/120\nThus the probability that she makes at least one shot = 1 - (1/120) = 119/120
Thus, the answer is (B).


[User] Which one of the following is the least number of four digits divisible by 71?\nOptions:\n(A) 1006\n(B) 1065\n(C) 1094\n(D) 1056\n(E) 1057 Think first, then make a decision. Some random thoughts:

[Assistant] 1000/71 = 14 6/71\n1000 + 71 – 6 = 1065 So the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. How many positive integers less than 60 have a reminder 01 when divided by 4?\nOptions:\n(A) 13\n(B) 14\n(C) 15\n(D) 16\n(E) 17

[Assistant]
1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers.
The answer: (C).


[User] Give stream of consciousness and then the final answer. Find 96 ×× 98\nOptions:\n(A) 93/198\n(B) 93/12\n(C) 93/13\n(D) 93/10\n(E) 93/8

[Assistant]
Here both numbers are less than 100. So they are deficient of - 4 and - 1 compared with 100. So
The final answer: (E).


[User] Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 6\n(E) 7 Hmmm, my stream of consciousness:

[Assistant] On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted So, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. Fill in the blank with the correct number in this number series: 5, 15, 7, 12, __, 9, 11,... ?\nOptions:\n(A) 6\n(B) 9\n(C) 8\n(D) 7\n(E) 5

[Assistant]
In this simple alternating subtraction and addition series; The first series begins with 5 and adds 2; the second begins with 15 and subtracts 3, and so on.
The answer: (B).


[User] Question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 300 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours. Let's think first. Some random reasoning:

[Assistant] In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 300 pastries would take 300 ÷ 60 = 5 hours. The final answer: (C).


[User] The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) Rs.17\n(B) Rs.76\n(C) Rs.15\n(D) Rs.72\n(E) Rs.71 Stream of consciousness first, then make a decision:

[Assistant]
Total members in the group = 7\nAverage amount = Rs. 20\nTotal amount with them = 7 * 20 = Rs. 140\nOne number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90\nThe average amount with them = 90/6 = Rs. 15.
Thus, the answer is (C).


[User] Question: Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?\nOptions:\n(A) 5 7/3 days\n(B) 7 1/3days\n(C) 5 1/9 days\n(D) 5 7/3 days\n(E) 4 7/9 days Let's think first. Some random reasoning:

[Assistant] 1/11 + 1/22 = 3/22\n22/3 = 7 1/3 days The final answer: (B).


[User] Question: An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?\nOptions:\n(A) 6/13\n(B) 5/26\n(C) 6/26\n(D) 9/26\n(E) 10/27 Random thoughts:

[Assistant] Option(B) is correct\nP(Both are red), 6C2/13C2 = 5/26 The final answer: (B).


[User] The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 349\n(B) 349\n(C) 342\n(D) 346\n(E) 344 Think first, then make a decision. Some random thoughts:

[Assistant] 400*(90/100)*(95/100) = 342 So the answer is (C).


[User] Question: Using all the letters of the word "THURSDAY", how many different words can be formed?\nOptions:\n(A) 7\n(B) 8!\n(C) 9\n(D) 3\n(E) 1 Let's think first. Some random reasoning:

[Assistant] Total number of letters = 8\nUsing these letters the number of 8 letters words formed is ⁸P₈ = 8!. The final answer: (B).


[User] Use some thinking to answer the following question. How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 65 sec\n(C) 25 sec\n(D) 45 sec\n(E) 24 sec

[Assistant] D = 100 + 150 = 250\nS = 36 * 5/18 = 10 mps\nT = 250/10 = 25 se So the final answer is (C).


[User] A shipment of 8 TV sets contains 5 black and white sets and 3 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\nOptions:\n(A) 1/7\n(B) 1/4\n(C) 5/14\n(D) 25/28\n(E) 13/28 Hmmm, my stream of consciousness:

[Assistant] 3/8 * 2/7 = 6/56\n1-(6/56) = 50/56 = 25/28 So, the answer is (D).


[User]
Some question: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 18%\n(D) 21%\n(E) 40%
Some stream of consciousness:

[Assistant] Increase = (20/50)*100 = 40%. The answer: (E).


[User] A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?\nOptions:\n(A) 17/91\n(B) 33/91\n(C) 51/91\n(D) 65/91\n(E) None of these Think first, then make a decision. Some random thoughts:

[Assistant] Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91 So the answer is (B).


[User]
Some question: What should come in place of the question mark (?) in the following equation?\n90000 + 5010 = 87050 + ?\nOptions:\n(A) 7960\n(B) 7554\n(C) 8465\n(D) 4578\n(E) 4689
Some stream of consciousness:

[Assistant] 90000 + 5010 = 87050 + ?\n90000 + 5010 – 87050 = 7960 The answer: (A).


[User] Use some thinking to answer the following question. A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 4 metre\n(B) 12 metre\n(C) 240 metre\n(D) 2400 metre\n(E) 130 metre

[Assistant] Number of times wheel moves in 1 hour = 20 * 60 = 1200\n:. Distance moves = (1200*20) cms = 24000 cms\nIn metres = 240 metre So the final answer is (C).


[User]
Student: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?\nOptions:\n(A) 23\n(B) 30\n(C) 42\n(D) 60\n(E) 126.
Another student: Let's say, hmmm...

[Assistant] Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3\nOut of 3 forwards we have to select 2 -> selection means we use C -> so 3C2\nTotal ways = 6C3 x 3C2 = 60 Final answer: (D).


[User] John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 100% Hmmm, my stream of consciousness:

[Assistant] Increase = (40/40)*100 = (1)*100 = 100%. So, the answer is (E).


[User] X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 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 Hmmm, my stream of consciousness:

[Assistant] Work done by X in 1 day = 1/20\nWork done by Y in 1 day = 1/15\nWork done by Y in 9 days = 9/15 = 3/5\nRemaining work = 1 – 3/5 = 2/5\nNumber of days in which X can finish the remaining work = (2/5) / (1/20) = 8 So, the answer is (D).


[User] A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.\nOptions:\n(A) 150 m\n(B) 50 m\n(C) 75 m\n(D) 135 m\n(E) 60 m OK. Let's think. Some random thoughts first:

[Assistant] Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 3 = 50 meter The answer: (B).


[User] Give stream of consciousness and then the final answer. The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 114 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?\nOptions:\n(A) 27\n(B) 26\n(C) 42\n(D) 64\n(E) 147

[Assistant]
112 ounces of a substance has a volume of 48 cubic inches\n63 ounces of a substance has a volume of (48/114)*63 = 26 cubic inches
The final answer: (B).


[User] Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer.\nOptions:\n(A) (x + 2y) (3x + 2y) \n(B) (x + 2y) 2 + 2x(x + 2y) \n(C) (3x + 2y) 2 – 2x(3x + 2y) \n(D) 3x(x + 2y)  + 2y(x + 2y) \n(E) x(3x + 2y)  – 2y(3x – 2y)  Now, let's think a bit. Some random thoughts:

[Assistant]
Others are equal to 3x2 + 8xy + 4y2
The final answer: (E).


[User] Give a quick stream of consciousness before answering the following question. Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?\nOptions:\n(A) 8\n(B) 14\n(C) 43\n(D) 44\n(E) 9

[Assistant]
Answer: Option B\nThis is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2.
The answer: (B).


[User] Which of the following is equal to the average (arithmetic mean) of (x+5)^2 and (x-5)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2 +30\n(D) x^2+20\n(E) x^2+25 Hmmm, my stream of consciousness:

[Assistant] Avg = [(x+5)^2 + (x-5)^2] / 2\nExpanding and simplifying, (x^2 + 10x + 25 + x^2 - 10x + 25) / 2 = x^2 + 25 So, the answer is (E).


[User] Question: A cricket bat is sold for $850, making a profit of $245. The profit percentage would be\nOptions:\n(A) 24%\n(B) 25%\n(C) 30%\n(D) 36%\n(E) 40% Let's think first. Some random reasoning:

[Assistant] 245/(850 - 245) = 245/605 = 49/121 = 40%. The final answer: (E).


[User] Give a quick stream of consciousness before answering the following question. A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2 days\n(C) 4 4/5 days\n(D) 3 days\n(E) 9 days

[Assistant]
Work done by A in 2 days = 2/10 = 1/5\nRemaining work = 4/5\nWork done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6\nRemaining work = 4/5 * 6/1 = 24/5 = 4 4/5 days.
The answer: (C).


[User] The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?\nOptions:\n(A) 277\n(B) 266\n(C) 300\n(D) 767\n(E) 211 Now, let's think a bit. Some random thoughts:

[Assistant]
1/2:1/3:1/4 = 6:4:3\n3/13*1300 = 300
The final answer: (C).


[User] Use some thinking to answer the following question. The average of first 10 even numbers is?\nOptions:\n(A) 18\n(B) 16\n(C) 15\n(D) 11\n(E) 19

[Assistant] Sum of 10 even numbers = 10 * 11 = 110\nAverage = 110/10 = 11 So the final answer is (D).


[User] The average of seven numbers is 4. The average of first three numbers is 2 and the average of last three numbers is 6. What is the middle number?\nOptions:\n(A) 3\n(B) 4\n(C) 6\n(D) 7\n(E) 8 Think first, then make a decision. Some random thoughts:

[Assistant] The total of seven numbers = 7X4 = 28\nThe total of first 3 and last 3 numbers is = 3 X 2+3 X 6 = 24\nSo, the middle number is (28 - 24 ) = 4 So the answer is (B).


[User] Q: A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 3 kmph\n(E) 1 kmph Let's give some random thoughts before answering.

[Assistant]
Speed downstream = d/t = 75/(5) = 15 kmph\nSpeed upstream = d/t = 45/(5) = 9 kmph\nThe speed of the stream = (15 - 9)/2 = 3 kmph
Therefore, the answer is (D).


[User]
Some question: The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 1/98\n(D) 3/350\n(E) 1/68
Some stream of consciousness:

[Assistant] 2/3 * 6/7 * 1/5 * 1/8 = 12/1400 = 3/350 The answer: (D).


[User] What is the next number of the following sequence.\n8, 8, 6, 2,.... ?\nOptions:\n(A) -4\n(B) -5\n(C) -6\n(D) -7\n(E) -8 Stream of consciousness first, then make a decision:

[Assistant]
8-(2*0) = 8\n8-(2*1) = 6\n6-(2*2) = 2\n2-(2*3) = -4
Thus, the answer is (A).


[User] What is the least value of integer N such that N! is divisible by 888 ?\nOptions:\n(A) 13\n(B) 88\n(C) 31\n(D) 37\n(E) D)  888 OK. Let's think. Some random thoughts first:

[Assistant] 888 = 8*111 = 3*8*37\nHence 888 is a multiple of 37 and we need at least one 37 in N!\nTherefore least value of N! is 37!, which will contain all of 3, 8, and 37. The answer: (D).


[User] The number N is 5,H48, where H represents the hundred's digit. If N is divisible by 11, what is the value of H\nOptions:\n(A) 1\n(B) 7\n(C) 6\n(D) 5\n(E) 2 Hmmm, my stream of consciousness:

[Assistant] If the number is divisible by 11, then the alternate digits' sum must be divisible by 11 or difference is 0. Only 1 yields such a number. So, the answer is (A).


[User] Give stream of consciousness and then the final answer. List K consists of 10 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 11\n(E) 12

[Assistant]
Answer = A = 5\nIf least = -3, then largest = 6\nRange = 6- 1 = 5
The final answer: (A).


[User] Q: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?\nOptions:\n(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750\n(B) Ram = Rs.7500, Shyam = Rs.1000, Mohan = Rs.750\n(C) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.250\n(D) Ram = Rs.1500, Shyam = Rs.1080, Mohan = Rs.750\n(E) Ram = Rs.1500, Shyam = Rs.1002, Mohan = Rs.750 Let's give some random thoughts before answering.

[Assistant]
1/2:1/3:1/4 = 6:4:3\nRam = 6/13 * 3250 = 1500\nShyam = 4/13 * 3250 = 1000\nMohan = 3/13 * 3250 = 750
Therefore, the answer is (A).


[User] A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 10\n(E) 12 Stream of consciousness first, then make a decision:

[Assistant]
221 + 43 = 264/17 = 9 (Remainder)
Thus, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined?\nOptions:\n(A) 66th\n(B) 70th\n(C) 74th\n(D) 82nd\n(E) 85th

[Assistant]
66th/70th/74th/82nd/85th
The answer: (A).


[User] In case R 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) T and S\n(E) T and U Now, let's think a bit. Some random thoughts:

[Assistant]
T and S should serve on A
The final answer: (D).


[User]
Student: John left home and drove at the rate of 50 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..
Another student: Let's say, hmmm...

[Assistant] The total distance D traveled by John is given by\nD = 50 * 2 + 3 * 55 = 265 miles. Final answer: (D).


[User] Give stream of consciousness and then the final answer. BCB, DED, FGF, HIH, ___\nOptions:\n(A) KOP\n(B) QLM\n(C) JKJ\n(D) PSQ\n(E) IOP

[Assistant]
This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter.
The final answer: (C).


[User] Q: How many numbers between 10 - 99 yield a reminder of 8 when divided by 10 and also yield a remainder of 2 when divided by 8?\nOptions:\n(A) One\n(B) Three\n(C) Two\n(D) Five\n(E) Four Let's give some random thoughts before answering.

[Assistant]
Answer = B) Three\nNumbers between 10 - 99 giving remainder 8 when divided by 10 = 18, 28, 38, 48, 58, 68, 78, 88, 98\nThe above Numbers giving remainder 2 when divided by 8 = 18, 58, 98 = 3
Therefore, the answer is (B).


[User] What approximate value should come in place of the question mark (?) in the following equation’?\n3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30\nOptions:\n(A) 1200\n(B) 1500\n(C) 1600\n(D) 1800\n(E) 2100 Stream of consciousness first, then make a decision:

[Assistant]
? ≈ 18⁄5 × 160 + 40⁄1000 × 1850 + 450\n≈ 576 + 740 + 450 ≈ 1760 ≈ 1800
Thus, the answer is (D).


[User] Give stream of consciousness and then the final answer. A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.\nOptions:\n(A) 2205\n(B) 3387\n(C) 2882\n(D) 2997\n(E) 1278

[Assistant]
A = 2000(21/20)2 = 2205
The final answer: (A).


[User] Question: The average of first six prime numbers greater than 3 is?\nOptions:\n(A) 16\n(B) 10\n(C) 12\n(D) 19\n(E) 17.8 Random thoughts:

[Assistant] 5 + 7 +11 + 13 + 17 + 19 = 72/6 = 12 The final answer: (C).


[User] Ravi can do a piece of work in 20 days while Prakash can do it in 40 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 7/9 days OK. Let's think. Some random thoughts first:

[Assistant] 1/20 + 1/40 = 3/40\n40/7 = 5 7/9 days The answer: (A).


[User] In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?\nOptions:\n(A) 1 kg\n(B) 200 gms\n(C) 800 gms\n(D) 1.8 kg\n(E) None of these Hmmm, my stream of consciousness:

[Assistant] In 1 kg mixture quantity of iron = 200 gm\nLet x gm sand should be added, then\n10% of (1000 + x) = 200\n\ x = 1000 gm = 1 kg So, the answer is (A).


[User] 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:

[Assistant]
Speed of the boat in still water = (80+100)/2 = 90 kmph. Speed of the stream = (100-80)/2 = 10 kmph
So, the answer is (A).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant] 4/9 P = (P*R*R)/100\nR = 20/3 = 6 2/3% The answer: (A).


[User] 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

[Assistant]
44 + 28 + 10 = 82%\n100 – 82 = 18%\n650 * 18/100 = 117
The answer: (E).


[User] 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

[Assistant]
(10/100)Workers = 16 = > number of workers = 160\n(10/100)*Workers = x+16 = > x = 16
The final answer: (A).


[User] 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%

[Assistant]
Increase = (25/50)*100 = (1/2)*100 = 50%.
The final answer: (C).


[User] 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:

[Assistant] Required sum = (53 + 59 + 61 + 67 ) = 240\nNote: 1 is not a prime number So, the answer is (D).


[User] 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:

[Assistant]
T = 50/36 * 18/5 = 5 sec
Thus, the answer is (A).


[User] 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:

[Assistant]
1 to 11 = 11 * 44 = 484\n1 to 6 = 6 * 49 = 294\n6 to 11 = 6 * 52 = 312\n6th = 294 + 312 â€“ 484 = 122
Thus, the answer is (A).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant]
Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90
So, the answer is (A).


[User] 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

[Assistant] D = 140 + 150 = 290\nS = 36 * 5/18 = 10 mps\nT = 290/10 = 29 sec So the final answer is (B).


[User] 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:

[Assistant]
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.
Thus, the answer is (C).


[User] 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

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 510 + 140 = 650 m\nRequired time = 650 * 2/25 = 52 sec
The final answer: (B).


[User] 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:

[Assistant]
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.
So, the answer is (D).


[User]
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.
Another student: Let's say, hmmm...

[Assistant] A = 1600(21/20)3 = 2522 Final answer: (C).


[User] 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.

[Assistant]
Total number of votes polled = (5136 + 7636 + 11628) = 24400\nSo, Required percentage = 11628/24400 * 100 = 48%
Therefore, the answer is (B).


[User]
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
Some stream of consciousness:

[Assistant] 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).


[User] 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.

[Assistant]
If he draws any combination of 3 socks he will definitely have the matching pair of either colour.
Therefore, the answer is (A).


[User] 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:

[Assistant]
Percentage of profit = 25/25 * 100 = 100%
So, the answer is (E).


[User] 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:

[Assistant] Mother has a fixed place and father, so there are 3! ways to arrange the children, hence So, the answer is (B).


[User] 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.

[Assistant]
It's a simple geometry problem. Look at the diagram below:
Therefore, the answer is (A).


[User] 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:

[Assistant]
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
The final answer: (A).


[User] 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:

[Assistant]
Sum of 14 even numbers = 14 * 15 = 210\nAverage = 210/14 = 15
Thus, the answer is (E).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant]
8 * 37 â€“ 7 * 40 = 16
Thus, the answer is (E).


[User] 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

[Assistant]
From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.
The answer: (A).


[User] 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:

[Assistant] 1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers. So the answer is (A).


[User] 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

[Assistant]
16+31+23 = 70\n100-70 = 30
The final answer: (E).


[User]
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.
Another student: Let's say, hmmm...

[Assistant] 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).


[User]
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
Some stream of consciousness:

[Assistant] 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).


[User] 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:

[Assistant]
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.
Thus, the answer is (C).


[User] 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.

[Assistant]
Time taken by the birds to meet = 14/(5+ 2) = 2 mins\nDistance traveled by the bird traveling from West-Town = 5 * 2 = 10
The answer: (C).


[User] 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:

[Assistant] 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).


[User] 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

[Assistant]
D = 70 * 5/18 = 20 = 388 – 180 = 208
The answer: (A).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant]
91 is divisible by 7. So, it is not a prime number.
The final answer: (E).


[User]
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.
Another student: Let's say, hmmm...

[Assistant] 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).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant]
60*5:36*6:75*3\n100: 72: 75\n100/247 * 7410 = 3000
Thus, the answer is (B).


[User] 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

[Assistant]
Local value of 7 = 7 x 100 = 700\nPlace value of 7 = 7\nThere fore = 7 x 700 = 4900
The final answer: (C).


[User] 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:

[Assistant]
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
The final answer: (E).


[User] 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:

[Assistant]
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
Thus, the answer is (D).


[User] 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:

[Assistant]
R of the employees’ new bonus is the increase Hence
Thus, the answer is (B).


[User] 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:

[Assistant]
Total number of ways = 2!*2!.
Thus, the answer is (B).


[User] 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:

[Assistant] A = 7500(26/25)2 = 8112 The answer: (A).


[User]
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
Some stream of consciousness:

[Assistant] 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).


[User] 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:

[Assistant] ? = 48845 + 51246⁄6 = 48845 + 8541 = 57386 The final answer: (E).


[User] 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:

[Assistant]
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
Thus, the answer is (E).


[User] 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:

[Assistant] 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).


[User] In how many different ways can the letters of the word â€˜EXTENTâ€™ 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:

[Assistant]
Number of ways = 6!/2!2! = 6X5X4X3X2X1/2X1X2X1 = 180
The final answer: (B).


[User] 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:

[Assistant]
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.
So, the answer is (C).


[User] 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:

[Assistant]
At least one of U and V is odd
The final answer: (A).


[User] 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:

[Assistant] 12400 + 6899 = 610+ ?\n12400 + 6899 – 610 = 18689 The final answer: (C).


[User] 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:

[Assistant] The sum all three digits comes to 10 except 327 The final answer: (A).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant] 2 * π * 2r * 3r = 12 πr2 The final answer: (C).


[User] 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:

[Assistant] 221 + 43 = 264/17 = 9 (Remainder) The final answer: (C).


[User] 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:

[Assistant] Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours. The final answer: (A).


[User] 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%

[Assistant]
P = (P*60*R)/100\nR = 1 2/3%
The answer: (C).


[User] 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.

[Assistant]
70 + 45 = 115 * 5/18 = 575/18 mps\nD = 150 + 100 = 250 m\nT = 250 * 18/575 = 15/2 = 47/6 se
Therefore, the answer is (C).


[User] 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:

[Assistant]
252 = 2 x 2 x 3 x 3 x 7.
Thus, the answer is (A).


[User] 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:

[Assistant]
Formula = Third proportional = (b × b)/a\nA = 9 and B = 12\n(12 × 12)/ 9 = 144/9 = 16
The final answer: (C).


[User] 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.

[Assistant]
Given Exp. = (a3 + b3) = (a + b) = (444 + 555) = 999(a2 - ab + b2)
Therefore, the answer is (C).


[User] 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:

[Assistant]
In this series, each number is repeated, then 12 is subtracted to arrive at the next number.
Thus, the answer is (E).


[User] 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:

[Assistant]
8C3 [Select any four] - 7C3 [Select all hard backs] = 21
Thus, the answer is (A).


[User]
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
Some stream of consciousness:

[Assistant] I = (500*9*6)/100 = 270 The answer: (B).


[User] 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:

[Assistant] S = (100 + 300)/45 = 400/45 * 18/5 = 32 So, the answer is (A).


[User] 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:

[Assistant]
2Worker 2pages 2minutes\n1Worker 1page 2minutes\n1worker 18pages 36minutes\nTherefore to reduce the time by 6 times, workers should be increased by 6 times
The final answer: (C).


[User] 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:

[Assistant] My ans is 10C3 = 120 The final answer: (A).


[User] 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:

[Assistant] 25 + 15 + 55 = 95% 100 - 95 = 5% to all others The final answer: (D).


[User] 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

[Assistant]
S = 180/6 * 18/5 = 108 kmph
The final answer: (B).


[User] 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.

[Assistant]
The other parts are equal to xy2 – x2y + 2x2y2.
Therefore, the answer is (B).


[User] 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:

[Assistant]
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.
Thus, the answer is (D).


[User] 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:

[Assistant]
Principal = (100 * 5400) / (12 * 3) = Rs. 15000
The final answer: (C).


[User] 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:

[Assistant]
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.
The final answer: (A).


[User] 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:

[Assistant]
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.
The final answer: (D).


[User] 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.

[Assistant]
(60/100) * 50 – (40/100) * 30\n30 - 12 = 18
Therefore, the answer is (A).


[User] 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:

[Assistant]
Fix the third coin as H. The remaining 11 coins have 2^11 outcomes.
So, the answer is (B).


[User] 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.

[Assistant]
Total = 500(25) + 600(27)\nNumber of installments = 52\nAverage = Total/Number of installments = 552 approximately
Therefore, the answer is (C).


[User] Question: 5,9,18,30,50,__\nOptions:\n(A) 79\n(B) 80\n(C) 81\n(D) 82\n(E) 83 Random thoughts:

[Assistant] (9+5) +4 = 18\n(16+9) +5 = 30\n(28+16)+6 = 50\n(48+28)+7 = 83 The final answer: (E).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant]
Here both numbers are less than 100. So they are deficient of - 4 and - 3 compared with 100. So
Thus, the answer is (B).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant] 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).


[User]
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%
Some stream of consciousness:

[Assistant] Assume the price = 100\nPrice during sale = 90\nPrice after sale = 100\nPercent increase = 10/90*100 = 11% approx. The answer: (C).


[User] 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:

[Assistant] 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).


[User] 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:

[Assistant]
281 + 160 = 441/21 = 21 (Remainder)
The final answer: (A).


[User] 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:

[Assistant] Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer: (E).


[User] 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

[Assistant]
Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15\nThree groups can select three subjects in 6 ways\nTherefore total combinations = 15*6 = 90
The answer: (C).


[User] 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.

[Assistant]
1/3:1/3:1/6 = 2:2:1\n1/5*1400 = 280\n560-280 = 280
Therefore, the answer is (E).


[User] 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:

[Assistant] (30 * 30)/100 = 9% decrease The final answer: (D).


[User] 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:

[Assistant]
400*(90/100)*(95/100) = 342
The final answer: (C).


[User] 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

[Assistant]
1/15 + 1/6 = 7/30\n30/7 = 4 2/7 days
The final answer: (E).


[User] 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:

[Assistant]
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
Thus, the answer is (D).


[User] 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

[Assistant]
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
The final answer: (B).


[User]
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
Some stream of consciousness:

[Assistant] Money paid in cash = Rs. 1000\nBalance payment = (60000 - 1000) = Rs. 59000 The answer: (B).


[User] 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:

[Assistant] Time = (100 x 100)/(1000 x 5) years = 2 years. The answer: (C).


[User] 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:

[Assistant] The total distance D traveled by John is given by\nD = 45 * 2 + 3 * 55 = 255 miles. So, the answer is (C).


[User]
Some question: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?\nOptions:\n(A) -3⁄2 < x < 1\n(B) -1 < x < 3⁄2\n(C) x > 1\n(D) x < -2⁄5\n(E) None of these
Some stream of consciousness:

[Assistant] 2x2 + x – 3 < 0\n⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1 The answer: (A).


[User] A single discount equivalent to the discount series of 20%, 10% and 25% is?\nOptions:\n(A) 31.9\n(B) 31.7\n(C) 31.6\n(D) 31.5\n(E) 46 Stream of consciousness:

[Assistant]
100*(80/100)*(90/100)*(75/100) = 54\n100 - 54 = 46
Thus, the answer is (E).


[User] If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 3m\n(C) 6m\n(D) m/5\n(E) 6m/5 Stream of consciousness first, then make a decision:

[Assistant]
8m - n = p\nAdd n to both sides:\n8m = n + p\nAdd m to both sides:\n9m = n + p + m\nNow, divide both sides by 3\n3m = (n + p + m)/3 = the average of n, p, and m
Thus, the answer is (B).


[User] Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 10 km/hr downstream and 4 km/hr upstream.\nOptions:\n(A) 7 kmph\n(B) 8 kmph\n(C) 9 kmph\n(D) 7 kmph\n(E) 6 kmph OK. Let's think. Some random thoughts first:

[Assistant] Speed in still water = (10 + 4)1/2 kmph = 7 kmph. The answer: (A).


[User]
Student: If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in\nOptions:\n(A) 2 days\n(B) 1 day\n(C) 4 days\n(D) 3 days\n(E) 2 1/5 days.
Another student: Let's say, hmmm...

[Assistant] The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m\nNo. of days required to paint 36 m cloth by 6 women = 36/ 6 × 6 = 1 day. Final answer: (B).


[User] A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.\nOptions:\n(A) 25 km/h\n(B) 40 km/h\n(C) 45 km/h\n(D) 36.5 km/h\n(E) None of these Think first, then make a decision. Some random thoughts:

[Assistant] Let original speed = S km/h\nHere, distance to be covered is constant\n∴ S × 8 = (S + 5)(20⁄3)\n⇒ 8S - 20⁄3S = 100⁄3 ⇒ S = 100⁄4 = 25 km/h So the answer is (A).


[User] Question: Find a a prime number from the options below.\nOptions:\n(A) 69\n(B) 70\n(C) 71\n(D) 72\n(E) 74 Let's think first. Some random reasoning:

[Assistant] Clearly, 71 is a prime number. The final answer: (C).


[User] Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.\nOptions:\n(A) 225 cm2\n(B) 275 cm2\n(C) 285 cm2\n(D) 315 cm2\n(E) None of these Stream of consciousness:

[Assistant]
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2
Thus, the answer is (C).


[User] The number N is 5,H64, where H represents the hundred's digit. If N is divisible by 4, what is the value of H?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 5\n(E) All the above value OK. Let's think. Some random thoughts first:

[Assistant] If the number is divisible by 4, the last two digits must be divisible by 4. All the values yields such a number. The answer: (E).


[User] The average of first four prime numbers greater than 10 is?\nOptions:\n(A) 10\n(B) 20\n(C) 15\n(D) 40\n(E) 50 Stream of consciousness first, then make a decision:

[Assistant]
11 + 13 + 17 + 19 = 60/4 = 15
Thus, the answer is (C).


[User] Question: At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/3%\n(B) 3 1/8%\n(C) 3 6/3%\n(D) 9 1/3%\n(E) 3 3/3% Let's think first. Some random reasoning:

[Assistant] P = (P*30*R)/100\nR = 3 1/3% The final answer: (A).


[User]
Student: In what time a sum of money double itself at 8% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 33 7/3%\n(D) 32 1/3%\n(E) 12 1/2%.
Another student: Let's say, hmmm...

[Assistant] P = (P*8*R)/100\nR = 12 1/2% Final answer: (E).


[User] An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?\nOptions:\n(A) 76\n(B) 100\n(C) 162\n(D) 198\n(E) 202 Let's think first. Stream of consciousness:

[Assistant]
We have 3 scenarios here:\n1) 1 tech2 businessmen: 4C1 x 6C2 = 60\n2) 2 tech1 businessman: 4C2 x 6C1 = 36\n3) 3 tech0 businessmen: 4C3 = 4\nTotal: 60+36+4 = 100
So, the answer is (B).


[User] what is the next no. 4 12 84\nOptions:\n(A) 632\n(B) 732\n(C) 832\n(D) 850\n(E) 902 Let's think first. Stream of consciousness:

[Assistant]
3^0 + 3 = 4\n3^2 + 3 = 12\n3^4 + 3 = 84\n3^6 + 3 = 732
So, the answer is (B).


[User] Question: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?\nOptions:\n(A) 15%\n(B) 116%\n(C) 136%\n(D) 155%\n(E) 160% Random thoughts:

[Assistant] Female students in 2005 = 30% of 40 = 12\nFemale students in 2007 = 40% of 65 = 26\nPercentage increase = [(26 - 12)/12] *100 % = 116% The final answer: (B).


[User] Use some thinking to answer the following question. A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\nOptions:\n(A) 2277\n(B) 3000\n(C) 2682\n(D) 7222\n(E) 2682

[Assistant] 60*5:36*6:75*3\n100: 72: 75\n100/247 * 7410 = 3000 So the final answer is (B).


[User] A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?\nOptions:\n(A) 338\n(B) 277\n(C) 350\n(D) 881\n(E) 271 Stream of consciousness:

[Assistant]
D = 72 * 5/18 = 25 = 500 – 150 = 350
Thus, the answer is (C).


[User]
Student: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?\nOptions:\n(A) 14\n(B) 16\n(C) 17\n(D) 19\n(E) 20.
Another student: Let's say, hmmm...

[Assistant] Any combination of ten-dollar and five-dollar bills cannot add up to amount ending with 8. John has to use at least 3 one-dollar bills. To gather the rest, $125, John needs to use a minimum of 13 bills: 12 ten-dollar bills and 1 five-dollar bill. Final answer: (B).


[User] One red flower, three white flowers and two blue flowers are arranged in a line such that\nI. No two adjacent flowers are of the same colour.\nII. The flowers at the two ends of the line are of different colours.\nIn how many different ways can the flowers be arranged?\nOptions:\n(A) 6\n(B) 4\n(C) 10\n(D) 12\n(E) 14 Now, let's think a bit. Some random thoughts:

[Assistant]
The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
The final answer: (A).


[User]
Student: If n is an integer, then the least possible value of |15 - 8n| is?\nOptions:\n(A) 0\n(B) 2\n(C) 1\n(D) 3\n(E) 5.
Another student: Let's say, hmmm...

[Assistant] |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. Final answer: (C).


[User] Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.\nIf she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?\nOptions:\n(A) 1\n(B) 2\n(C) 3 min\n(D) 4\n(E) 5 Let's think first. Stream of consciousness:

[Assistant]
3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done.
So, the answer is (C).


[User] A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 4 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2/3 days\n(C) 8 days\n(D) 3 days\n(E) 9 days OK. Let's think. Some random thoughts first:

[Assistant] Work done by A in 4 days = 4/5\nRemaining work = 1/5\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\nRemaining work = 1/5 * 10/3 = 2/3 days. The answer: (B).


[User] If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\nOptions:\n(A) 2287\n(B) 2689\n(C) 1667\n(D) 8112\n(E) 1691 Let's think first. Stream of consciousness:

[Assistant]
A = 7500(26/25)2 = 8112
So, the answer is (D).


[User] Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?\nOptions:\n(A) 50\n(B) 65\n(C) 45\n(D) 55\n(E) 40 Stream of consciousness:

[Assistant]
This is a simple multiplication series. Each number is 6 times greater than the previous number.
Thus, the answer is (C).


[User] How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 65 sec\n(B) 88 sec\n(C) 25 sec\n(D) 88 sec\n(E) 55 sec Now, let's think a bit. Some random thoughts:

[Assistant]
D = 100 + 150 = 250\nS = 36 * 5/18 = 10 mps\nT = 250/10 = 25 se
The final answer: (C).


[User] Use some thinking to answer the following question. The average of nine numbers is 17. The average of first four numbers is 20 and the average of last four numbers is 16. What is the middle number?\nOptions:\n(A) A) 7\n(B) B) 8\n(C) C) 9\n(D) D) 10\n(E) E) 11

[Assistant] The total of nine numbers = 9X17 = 153\nThe total of first 4 and last 4 numbers is = 4 X 20+4 X 16 = 144\nSo, the middle number is (153 - 144 ) = 9 So the final answer is (C).


[User] A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?\nOptions:\n(A) 2205\n(B) 8786\n(C) 8275\n(D) 2872\n(E) 2282 Stream of consciousness:

[Assistant]
A = 2000(21/20)2 = 2205
Thus, the answer is (A).


[User] In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?\nOptions:\n(A) 15%\n(B) 50%\n(C) 62.5%\n(D) 115%\n(E) 240% OK. Let's think. Some random thoughts first:

[Assistant] Female students in 2005 = 25% of 40 = 10\nFemale students in 2007 = 40% of 85 = 34\nPercentage increase = [(34- 10)/10] *100 % = 240% The answer: (E).


[User] Give stream of consciousness and then the final answer. A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 71 kmph\n(E) 88 kmph

[Assistant]
S = 240/16 * 18/5 = 54 kmph
The final answer: (C).


[User] The price of a T.V. set worth Rs. 30000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 22678\n(B) 26699\n(C) 29000\n(D) 19000\n(E) 26711 Stream of consciousness:

[Assistant]
Money paid in cash = Rs. 1000\nBalance payment = (30000 - 1000) = Rs. 29000
Thus, the answer is (C).


[User] A class consists of 100 students, 20 of them are girls and 80 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\nOptions:\n(A) 2/125\n(B) 1/59\n(C) 1/56\n(D) 1/54\n(E) 1/53 Now, let's think a bit. Some random thoughts:

[Assistant]
The probability of selecting girl is: 20/100 = 1/5\nThe probability of selecting rich is: 20/100 = 1/5\nThe probability of selecting fair complexioned is: 40/100 = 2/5\nThree are independent;probability of rich and fair complexioned girl is:\n(1/5) Ã—(1/5) Ã— (2/5) = 2/125
The final answer: (A).


[User] Give a quick stream of consciousness before answering the following question. 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?\nOptions:\n(A) 66\n(B) 291\n(C) 26\n(D) 29\n(E) 11

[Assistant]
If only 12 people shaked their hands, then total hand shakes are 12C212C2 = 66
The answer: (A).


[User] Question: The pilot of a small aircraft uses 60 gallons of fuel to fly 300 miles. At this rate, how many gallons of fuel are needed for a 700 mile flight?\nOptions:\n(A) 140\n(B) 155\n(C) 160\n(D) 170\n(E) 175 Random thoughts:

[Assistant] Number of gallons of fuel per mile = 300 /60 = 5 gallons per mile\nNumber of gallons of fuel for a 700 mile flight = 700/5 = 140 The final answer: (A).


[User] If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 96, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  22\n(D)  35\n(E)  25 3/10 Stream of consciousness first, then make a decision:

[Assistant]
K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\n(11K -1)/4 = 96\n11K = 96 * 4 +1 = 384 +1 = 385\nK = 385 / 11 = 35.
Thus, the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. 189. The inside dimensions of a rectangular wooden box\nare 10 inches by 12 inches by 14 inches. A cylindrical\ncanister is to be placed inside the box so that it stands\nupright when the closed box rests on one of its six\nfaces. Of all such canisters that could be used, what is\nthe radius, in inches, of the one that has maximum\nvolume?\nOptions:\n(A)  3\n(B)  4\n(C)  5\n(D)  6\n(E)  8

[Assistant]
Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 14x12 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 12, so the radius will be 6.
The answer: (D).


[User] A family pays $800 per year for an insurance plan that pays 85 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.\nOptions:\n(A) $1,100\n(B) $1,200\n(C) $1,400\n(D) $1,800\n(E) $2,200 Now, let's think a bit. Some random thoughts:

[Assistant]
Upfront payment for insurance plan = 800$\nFamily needs to pay 15 % of first 1000 $ in expense = 150$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 150 = 950 $\nTotal amount paid by insurance plan for first 1000 $ = 800 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1100 $\n(Since insurance plan will pay 100% of amount that exceeds 950$ )
The final answer: (A).


[User] In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?\nOptions:\n(A) 200\n(B) 230\n(C) 504\n(D) 250\n(E) 260 Stream of consciousness:

[Assistant]
9p3 = 9 Ã— 8 Ã— 7 = 504
Thus, the answer is (C).


[User]
Student: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 33\n(C) 88\n(D) 66\n(E) 09.
Another student: Let's say, hmmm...

[Assistant] S = (150 + 240)/42 = 390/42 * 18/5 = 33 Final answer: (B).


[User] Question: The area of a triangle is with base 12m and height 5m?\nOptions:\n(A) 88 m2\n(B) 30 m2\n(C) 66 m2\n(D) 77 m2\n(E) 31 m2 Random thoughts:

[Assistant] 1/2 * 12 * 5 = 30 m2 The final answer: (B).


[User] The price of a T.V. set worth Rs. 8000 is to be paid in 20 installments of Rs. 750 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 7250\n(B) 7200\n(C) 7820\n(D) 6000\n(E) 2799 Hmmm, my stream of consciousness:

[Assistant] Money paid in cash = Rs. 750\nBalance payment = (8000- 1000) = Rs. 7250 So, the answer is (A).


[User] Which of the following numbers is divisible by 9?\nOptions:\n(A) 23274\n(B) 25181\n(C) 31001\n(D) 50123\n(E) 11251 OK. Let's think. Some random thoughts first:

[Assistant] 23274. This is the only option with last two digits divisible by 9 The answer: (A).


[User] In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?\nOptions:\n(A) 55053\n(B) 50553\n(C) 5553\n(D) 40532\n(E) 44258 Hmmm, my stream of consciousness:

[Assistant] 120 * 456 + 333 = 55053 So, the answer is (A).


[User] You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?\nOptions:\n(A) helicopter man stop it\n(B) you stop it\n(C) man go to stop it.\n(D) no idea\n(E) data irrelevant Hmmm, my stream of consciousness:

[Assistant] You ask the man of the merry-go-round to stop it. So, the answer is (C).


[User] How much 90% of 40 is greater than 80% of 30?\nOptions:\n(A) 12\n(B) 14\n(C) 16\n(D) 17\n(E) 18 Let's think first. Stream of consciousness:

[Assistant]
(90/100) * 40 – (80/100) * 30\n36 - 24 = 12
So, the answer is (A).


[User] A certain car uses 12 gallons of gasoline in traveling 360 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 6\n(D) 8\n(E) 10 Now, let's think a bit. Some random thoughts:

[Assistant]
360/10 = 36. The difference is 36 - 30 = 6.
The final answer: (C).


[User] Use some thinking to answer the following question. Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^19\n(B) 2^10\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10

[Assistant] Fix the third coin as H. The remaining 19 coins have 2^19 outcomes. So the final answer is (A).


[User] Give a quick stream of consciousness before answering the following question. Find a a prime number from below options?\nOptions:\n(A) 84\n(B) 97\n(C) 98\n(D) 100\n(E) 102

[Assistant]
Clearly, 97 is a prime number.
The answer: (B).


[User] If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?\nOptions:\n(A) 30 years\n(B) 35 years\n(C) 40 years\n(D) 25 years\n(E) 45 years Now, let's think a bit. Some random thoughts:

[Assistant]
Sum of thier ages is 70 in ratio 4:3\nSo 40+30 gives us 70. Wich is 4:3 so, older guy is having 40.
The final answer: (C).


[User] The speed of a car is 90 km in the first hour and 42 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 89 kmph\n(B) 92 kmph\n(C) 75 kmph\n(D) 65 kmph\n(E) 66 kmph OK. Let's think. Some random thoughts first:

[Assistant] S = (90 + 42)/2 = 66 kmph The answer: (E).