[User] Find the odd man out 8,27, 64,216,,512,1000\nOptions:\n(A) 216\n(B) 512\n(C) 64\n(D) 8\n(E) 27 Think first, then make a decision. Some random thoughts:

[Assistant] 27 is cube of 3 which is odd number where as all others are cubes of even numbers. So the answer is (E).


[User] Q: If x is an odd integer, which of the following is an odd integer?\nOptions:\n(A) 2x+2\n(B) x^2\n(C) 2x+4x\n(D) 1+2x+x^2\n(E) 3x-1 Let's give some random thoughts before answering.

[Assistant]
Plug in an odd integer; in this case 3\n(2*3)+2 = 8 Even\n3^2 = 9 Odd\n(2*3)+(4*3) = 6 + 12 = 18 Even\n1+(2*3)+3^2 = 1+ 6 + 9 = 16 Even\n(3*3)-1 = 9 - 1 = 8 Even
Therefore, the answer is (B).


[User]
Student: What distance will be covered by a bus moving at 72 kmph in 30 seconds?\nOptions:\n(A) 278\n(B) 600\n(C) 772\n(D) 551\n(E) 131.
Another student: Let's say, hmmm...

[Assistant] 72 kmph = 72 * 5/18 = 20 mps\nD = Speed * time = 20 * 30 = 600 m. Final answer: (B).


[User] Q: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 6 strokes ?\nOptions:\n(A) 63/64\n(B) 7/8\n(C) 1/4\n(D) 1/8\n(E) 1/16 Let's give some random thoughts before answering.

[Assistant]
Left After 1st stroke = 1/2\nLeft After 2nd stroke = 1/2 * 1/2 = 1/4\nLeft After 3rd stroke = 1/2 * 1/4 = 1/8\nLeft After 4th stroke = 1/2 * 1/8 = 1/16\nLeft After 5th stroke = 1/2 * 1/16 = 1/32\nLeft After 6th stroke = 1/2 * 1/32 = 1/64\nSo removed = 1- 1/64 = 63/64
Therefore, the answer is (A).


[User] Use some thinking to answer the following question. X can finish a work in 24 days. Y can finish the same work in 16 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 3\n(B) 5\n(C) 6\n(D) 8\n(E) 9

[Assistant] Work done by X in 1 day = 1/24\nWork done by Y in 1 day = 1/16\nWork done by Y in 10 days = 10/16 = 5/8\nRemaining work = 1 – 5/8 = 3/8\nNumber of days in which X can finish the remaining work = (3/8) / (1/24) = 9 So the final answer is (E).


[User] Question: From the set of numbers x, y, t, z, p, q and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x,p,q), etc and (x,y)=(y,x)\nOptions:\n(A) 10\n(B) 14\n(C) 45\n(D) 63\n(E) 80 Random thoughts:

[Assistant] Another way: Any letter (x, y, z, w, p, q) can be included or not. So, we have 2^6 combinations - 1 empty combination = 63 combinations The final answer: (D).


[User] In what time will a bus 200 m long cross in the road, if its speed be 72 km/hr?\nOptions:\n(A) 15\n(B) 20\n(C) 14\n(D) 10\n(E) 12 Hmmm, my stream of consciousness:

[Assistant] Speed = 72 * 5/18 = 20 m/sec\nTime taken = 200/20 = 10 sec. So, the answer is (D).


[User] Question: There are 3 teams each with 4 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 48\n(D) 28\n(E) 45 Let's think first. Some random reasoning:

[Assistant] There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 16 possibilities (4*4) since each team has 4 players. So there are a total of 48 possibilities (16*3). I hope this method is easier for you to understand. The final answer: (C).


[User] Question: 123 : 36 : : 221 : ?\nOptions:\n(A) 52\n(B) 69\n(C) 72\n(D) 25\n(E) 32 Let's think first. Some random reasoning:

[Assistant] (1+2+3)^2 = 36\n(2+2+1)^2 = 25 The final answer: (D).


[User] All of the bonds on a certain exchange are designated by a 3-letter, a 4-letter, or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different bonds that can be designate with these codes?\nOptions:\n(A) 26(26^3 + 26^4) \n(B) 26(26^3 + 26^5) \n(C) 27(26^3 + 26^5) \n(D) 27(26^3)  + 26^5\n(E) 26^3 + 27(26^5)  Think first, then make a decision. Some random thoughts:

[Assistant] 3-letter codes = 26^3;\n4-letter codes = 26^4;\n5-letter codes = 26^5;\nTotal = 26^3 + 26^4 + 26^5 = 26^3(1+26) + 26^5 = 26^3*27 + 26^5. So the answer is (D).


[User] Use some thinking to answer the following question. How many factors does 49^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 24\n(D) 25\n(E) 36

[Assistant] 36^2 = 6*6*6*6 = 2^4*3^4\nTotal factors = (4+1)*(4+1) = 6*6 = 36 So the final answer is (E).


[User] If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 72 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 2/25\n(C) 3/10\n(D) 1/5\n(E) 1/10 Stream of consciousness:

[Assistant]
10 + 10 + 72 = 92% 100 - 92 = 8% to all others
Thus, the answer is (B).


[User] Use some thinking to answer the following question. How many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 23 sec\n(B) 65 sec\n(C) 25 sec\n(D) 45 sec\n(E) 24 sec

[Assistant] D = 100 + 130 = 230\nS = 36 * 5/18 = 10 mps\nT = 230/10 = 23 sec So the final answer is (A).


[User] Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 600 or over 760. If the individual ranges of the three people's scores in those 5 practice tests were 20, 60 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 40\n(B) 60\n(C) 70\n(D) 100\n(E) 110 Let's think first. Some random reasoning:

[Assistant] According to the information in the question the maximum range would be between 600 and 760(160). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 160-90 or 70. The final answer: (C).


[User] Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?\nOptions:\n(A) 4\n(B) 3\n(C) 5\n(D) 7\n(E) 9 Let's think first. Some random reasoning:

[Assistant] D = 25 * 60 + 1500 = 3000 m\nT = 3000/60 * 18/5 = 180 sec = 3 mins The final answer: (B).


[User] One copy machine can make 30 copies a minute, and a second copy machine makes 20 copies a minute. If the two copiers work together, how long would it take them to make 2,000 copies?\nOptions:\n(A) 20 minutes\n(B) 40 minutes\n(C) 45 minutes\n(D) 50 minutes\n(E) 55 minutes Now, let's think a bit. Some random thoughts:

[Assistant]
Total work done by both machines in a minute = 30 + 20 = 50 copies\nTotal number of copies required = 2000\nTime = 2000/50 = 40 mins
The final answer: (B).


[User] Q: A can do a piece of work in 24 days. B in 15 days and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?\nOptions:\n(A) 8 2/5days\n(B) 10 2/5days\n(C) 6 2/5days\n(D) 18 2/5days\n(E) 17 2/5days Let's give some random thoughts before answering.

[Assistant]
A + B = 1/24 + 1/15 = 13/120\nA + C = 1/24 + 1/12 = 1/8\n13/120 + 1/8 = 28/120\n4 1/5 days * 2 = 8 2/5days
Therefore, the answer is (A).


[User] Question: The edge of a cube is 4a cm. Find its surface?\nOptions:\n(A) 104a2 cm2\n(B) 64a2 cm2\n(C) 96a2 cm2\n(D) 84a2 cm2\n(E) 56a2 cm2 Let's think first. Some random reasoning:

[Assistant] 6a2 = 6 * 4a * 4a = 96a2 The final answer: (C).


[User]
Student: A train running at the speed of 90 km/hr crosses a pole in 12 seconds. Find the length of the train?\nOptions:\n(A) 150\n(B) 872\n(C) 287\n(D) 288\n(E) 300.
Another student: Let's say, hmmm...

[Assistant] Speed = 90*(5/18) m/sec = 75/3 m/sec\nLength of Train (Distance) = Speed * Time\n(75/3) * 12 = 300 meter Final answer: (E).


[User] Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 101 players took part in that tournament. How many matches were played?\nOptions:\n(A) 90 matches\n(B) 95 matches\n(C) 99 matches\n(D) 100 matches\n(E) 87 matches Think first, then make a decision. Some random thoughts:

[Assistant] D\n100 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 100 matches were playe So the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. If f(x)=1/x and x is a natural number, what CANNOT be the answer for f(f(x))?\nOptions:\n(A) 1/7\n(B) 3\n(C) 12/3\n(D) 6/6\n(E) 1

[Assistant]
Answer A is impossible because the invers of 1/x is x, and the only way to have something other than a natural number is to input something other than a natural number. With the specification that only natural numbers may be used 1/7 is not a possibility for f(f(x))
The answer: (A).


[User] Give stream of consciousness and then the final answer. A bag contains nine black balls, three red balls and four red balls. In how many ways can two balls be drawn from the bag?\nOptions:\n(A) ¹⁶C₂\n(B) ⁹C₂\n(C) ³C₂\n(D) ¹²C₂\n(E) ¹⁴C₂

[Assistant]
Total number of balls = 9 + 3 + 4\nTwo balls can be drawn from 16 balls in ¹⁶C₂ ways.
The final answer: (A).


[User]
Some question: If R is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then R/13 is =\nOptions:\n(A)  40320\n(B)  21840\n(C)  1680\n(D)  840\n(E)  240
Some stream of consciousness:

[Assistant] The integer should be divisible by: 12, 13, 14, 15 and 16, that is 3*2^2, 13, 2*7, 3*5 and 2^4. The least common multiple of these integers is the product of 13, 7, 5, 3 and 2^4. Then, R/13 is (13 * 7 * 5 * 3 * 2^4)/13 = 7*5*3*16 = 1680. The answer: (C).


[User] In a class if 1 is absent the rest of them can be divided into 6 equal groups and if two are absent can be divided into 7 equal groups. Find the minimum number of students in the class\nOptions:\n(A) 35\n(B) 36\n(C) 37\n(D) 38\n(E) 39 OK. Let's think. Some random thoughts first:

[Assistant] Multiple of 6 and 7 with difference 1 are 36 and 35\nSo the number of students in the class is 37 The answer: (C).


[User] The average of twelve numbers is 7. The average of first nine numbers is 6 and the average of last two numbers is 10. What is the middle number?\nOptions:\n(A) A) 9\n(B) B) 10\n(C) C) 12\n(D) D) 7\n(E) E) 13 Stream of consciousness first, then make a decision:

[Assistant]
The total of twelve numbers = 12X7 = 84\nThe total of first 9 and last 2 numbers is = 9 X 6+2 X 10 = 74\nSo, the middle number is (84 - 74 ) = 10
Thus, the answer is (B).


[User] The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 480, then the other is:\nOptions:\n(A) 11\n(B) 10\n(C) 8\n(D) 15\n(E) 12 Stream of consciousness:

[Assistant]
Other number = (12 x 600)/480 = 15.
Thus, the answer is (D).


[User] Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?\nOptions:\n(A) 1/6\n(B) 1/7\n(C) 1/5\n(D) 1/9\n(E) 1/2 Random thoughts:

[Assistant] 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\nRequired probability = 1/5 The final answer: (C).


[User] A and B can together complete a piece of work in 4 days. If A can alone can complete the same work in 12 days, in how many days can B alone complete that work?\nOptions:\n(A) 6\n(B) 5\n(C) 4\n(D) 3\n(E) 2 Hmmm, my stream of consciousness:

[Assistant] (A+B)'s 1 day work = 1/4\nA's 1 day work = 1/12\nB's 1 day work = 1/6 So, the answer is (A).


[User]
Student: A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 20 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 180\n(C) 70\n(D) 120\n(E) 12.
Another student: Let's say, hmmm...

[Assistant] 1/18 - 1/20 = 1/180\n180 minutes Final answer: (B).


[User] Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?\nOptions:\n(A) 20 hrs\n(B) 22 hrs\n(C) 23 hrs\n(D) 24 hrs\n(E) 21 hrs Stream of consciousness:

[Assistant]
1/( 1/36 +1/45) = 180/9 = 20 hrs
Thus, the answer is (A).


[User] the distance between parallel sides of the hexagon is 9. determine the length of the hexagon\nOptions:\n(A) 18*sqrt3\n(B) 18*sqrt2\n(C) 18*sqrt4\n(D) 19*sqrt3\n(E) 17*sqrt3 Stream of consciousness:

[Assistant]
Length of each side of regular hexagon will be 3*sqrt3. total length ( perimeter) of regular hexagon will be 18*sqrt3
Thus, the answer is (A).


[User]
Student: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $40 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $21.25m\n(B) $800m\n(C) $106.25m\n(D) $127.5m\n(E) $153m.
Another student: Let's say, hmmm...

[Assistant] 20/100*1/4*(total) = 40\n1/20*(total) = 40\n(total) = 40*20 = 800 Final answer: (B).


[User] Q: 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 7 days?\nOptions:\n(A) 2/5\n(B) 7/18\n(C) 1/4\n(D) 1/9\n(E) 2/6 Let's give some random thoughts before answering.

[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 7 days = 7 (1/18) = 7/18.
Therefore, the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. Find the mean proportional between 49 & 81?\nOptions:\n(A) 59\n(B) 61\n(C) 63\n(D) 65\n(E) 67

[Assistant]
Formula = √a×b\nA = 49 and B = 81\n√49×81 = 7 × 9 = 63
The answer: (C).


[User]
Some question: The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ?\nOptions:\n(A) 19\n(B) 35\n(C) 20\n(D) 32\n(E) 23
Some stream of consciousness:

[Assistant] Age of B = Age of (A + B + C) â€“ Age of (A + C) = 27 Ã— 3 â€“ 29 Ã— 2 = 81 â€“ 58 = 23 years The answer: (E).


[User]
Student: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?\nOptions:\n(A) y + 3z\n(B) (y +z)  / 4\n(C) 2y + 3z\n(D) z/2\n(E) 3y + 4.5z.
Another student: Let's say, hmmm...

[Assistant] Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z. Final answer: (D).


[User] Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?\nOptions:\n(A)  3\n(B)  4\n(C)  6\n(D)  8\n(E)  10 Let's think first. Some random reasoning:

[Assistant] Mother has a fixed place and father, so there are 3*2 ways to arrange the children, hence The final answer: (C).


[User] Use some thinking to answer the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220050

[Assistant] (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050 So the final answer is (E).


[User] Express 45 mps in kmph?\nOptions:\n(A) 170\n(B) 160\n(C) 162\n(D) 130\n(E) 122 Stream of consciousness:

[Assistant]
45 * 18/5 = 162 kmph
Thus, the answer is (C).


[User] Use some thinking to answer the following question. The inverse ratio of 3: 5: 1 is?\nOptions:\n(A) 2:3:7\n(B) 5:3:15\n(C) 2:3:2\n(D) 2:3:6\n(E) 2:3:1

[Assistant] 1/3: 1/5: 1/1 = 5:3:15 So the final answer is (B).


[User] Question: The purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 15%\n(B) 25%\n(C) 30%\n(D) 40%\n(E) 45% Random thoughts:

[Assistant] Cost price of article = 48$\n% of overhead cost = 5\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 5 = 30% The final answer: (C).


[User] A car traveled from San Diego to San Francisco at an average speed of 51 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\nOptions:\n(A) 24.\n(B) 34.\n(C) 36.\n(D) 42.\n(E) 44. OK. Let's think. Some random thoughts first:

[Assistant] Let the time taken be = x\nOne way distance = 51x\nTotal distance traveled = 2 * 51x = 102x\nTotal time taken = x + 2x = 3x\nAverage speed = 102x/3x = 34 The answer: (B).


[User] Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for three years?\nOptions:\n(A) 29893\n(B) 27773\n(C) 29989\n(D) 26100\n(E) 29883 Let's think first. Some random reasoning:

[Assistant] Simple interest = (18000 * 3 * 15)/100 = Rs. 8100\nAmount = P + I = 18000 + 8100 = Rs. 26100 The final answer: (D).


[User] A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 12\n(B) 20\n(C) 88\n(D) 77\n(E) 4 OK. Let's think. Some random thoughts first:

[Assistant] 1: 2/5 = 5: 2\n2/7 * 14 = 4 The answer: (E).


[User] Question: A football field is 8400 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 3500 square yards?\nOptions:\n(A) 450\n(B) 600\n(C) 500\n(D) 2400\n(E) 3200 Let's think first. Some random reasoning:

[Assistant] Answer A) 4800 yards need 1200 lbs\n1 Yard will need 1200/8400 = 1/7 lbs\n3600 Yards will need 1/7* 3500 Yards = 500lbs The final answer: (C).


[User] Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire\nrest of the car, then the share of each of the remaining persons increased by ?\nOptions:\n(A) 1/9\n(B) 1/8\n(C) 1/7\n(D) 7/8\n(E) 8/7 Let's think first. Some random reasoning:

[Assistant] When there are eight people, the share of each person is 1/8th the total cost The final answer: (B).


[User] A man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph. What is then time taken to row a distance of 90 km down the stream ?\nOptions:\n(A) 8hrs\n(B) 5 hrs\n(C) 15 hrs\n(D) 15 hrs\n(E) 20 hrs OK. Let's think. Some random thoughts first:

[Assistant] Speed in down stream = 10 +8 = 18\nTime taken to cover 90 km down stream = 90/18 = 5 hrs. The answer: (B).


[User] Give a quick stream of consciousness before answering the following question. Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $5 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $21.25m\n(B) $25.5m\n(C) $106.25m\n(D) $127.5m\n(E) $150m

[Assistant]
2/10*1/6*(total) = 5\n1/30*(total) = 5\n(total) = 5*30 = 150
The answer: (E).


[User]
Student: Wednesday occurred on 15th September 2010. What was the day of the week on 15th September 2009?\nOptions:\n(A) Monday\n(B) Friday\n(C) Wednesday\n(D) Tuesday\n(E) Sunday.
Another student: Let's say, hmmm...

[Assistant] 1 odd day in the year 2009\nSo, the day on 15th September 2010 will be one day beyond the day on 15th September 2009\nBut, 15th September 2010 is Wednesday\nOn 15th September 2009, it was Tuesday Final answer: (D).


[User] The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 4\n(E) 9 Stream of consciousness:

[Assistant]
Integer is divisible by 3 - Sum of digits is divisible by 3
Thus, the answer is (D).


[User] An analyst will recommend a combination of 4 industrial stocks, 3 transportation stocks, and 4 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 5 utility stocks, how many different combinations of 11 stocks are possible?\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 100\n(E) 720 Stream of consciousness:

[Assistant]
5C4 * 4C3 * 5C4 = 5*4*5 = 100.
Thus, the answer is (D).


[User] Find the product of the localvalue and absolutevalue of 3 in 20368?\nOptions:\n(A) 1000\n(B) 1100\n(C) 1200\n(D) 900\n(E) 10000 Hmmm, my stream of consciousness:

[Assistant] Local value of 3 = 3 x 100 = 300\nPlace value of 3 = 3\nThere fore = 3 x 300 = 900 So, the answer is (D).


[User] There are 39 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) 55\n(D) 58\n(E) 63 Hmmm, my stream of consciousness:

[Assistant] {Total} = {M} + {N} - {Both}\n{Total} = 39 + 28 - 12 = 55. So, the answer is (C).


[User] A 49 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 12\n(B) 20\n(C) 88\n(D) 77\n(E) 14 Hmmm, my stream of consciousness:

[Assistant] 1: 2/5 = 5: 2\n2/7 * 49 = 14 So, the answer is (E).


[User] Q: Find the odd man out\n4, 10, 22, 40, 84, 94\nOptions:\n(A) 22\n(B) 40\n(C) 94\n(D) 84\n(E) 10 Let's give some random thoughts before answering.

[Assistant]
Differnce is multiple of 6\n4 and 10 diff is 6\n10 and 22 diff is 12\n22 and 40 diff is 18\n40+24 = 64 but in series it is mentioned as 84\n64+30 = 94
Therefore, the answer is (D).


[User] There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?\nOptions:\n(A) 9!*2!\n(B) 7!*2!\n(C) 6!*1!\n(D) 2!*1!\n(E) 5!*1! Think first, then make a decision. Some random thoughts:

[Assistant] Total number of ways = 9!*2!. So the answer is (A).


[User] Use some thinking to answer the following question. Sam's grade was 60th percentile of the 100 grades for his class. Of the 120 grades from another class, 48 were higher than Sam's, and the rest were lower. If no other grade was the same as Sam's grade, then Sam's grade was what percentile of the grades of the two classes of two classes combined?\nOptions:\n(A) 51st\n(B) 60th\n(C) 67th\n(D) 72nd\n(E) 92nd

[Assistant] 51st/60th/67th/72nd/92nd So the final answer is (B).


[User] A and B can do a work in 18 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) 360/13 days\n(B) 350/13 days\n(C) 160/13 days\n(D) 260/13 days\n(E) 960/13 days Hmmm, my stream of consciousness:

[Assistant] One day work of A and B = 1/18\nOne day work of B and C = 1/30\nOne day work of C and A = 1/36\n2(A + B + C) = 1/18 + 1/30 + 1/36\n2(A + B + C) = 21/180\n(A + B + C) = 13/360\nNumber of days required = 360/13 days. So, the answer is (A).


[User] What is the greatest positive integer x such that 7^x is a factor of 343^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30 OK. Let's think. Some random thoughts first:

[Assistant] 343^10 = (7^3)^10 = 7^30 The answer: (E).


[User] The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 5\n(B) 10\n(C) 50\n(D) 40\n(E) 30 Think first, then make a decision. Some random thoughts:

[Assistant] 20 + 24 + 8 * 2 = 60/2 = 30 So the answer is (E).


[User] Give stream of consciousness and then the final answer. If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 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

[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 = 72/ 6 × 6 = 2 day.
The final answer: (B).


[User] Use some thinking to answer the following question. Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?\nOptions:\n(A) 30\n(B) 20\n(C) 18\n(D) 12\n(E) 6

[Assistant] 21-12 < no of hrs < 21-5\n9< no of hrs < 16. So the final answer is (D).


[User] Give a quick stream of consciousness before answering the following question. X can finish a work in 15 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 5\n(B) 3\n(C) 4\n(D) 7\n(E) 8

[Assistant]
Work done by X in 1 day = 1/15\nWork done by Y in 1 day = 1/20\nWork done by Y in 12 days = 12/20 = 3/5\nRemaining work = 1 – 3/5 = 2/5\nNumber of days in which X can finish the remaining work = (1/3) / (1/15) = 5
The answer: (A).


[User]
Some question: How many digits are in the number 50^8 × 8^3 × 11^3?\nOptions:\n(A) 22\n(B) 20\n(C) 19\n(D) 18\n(E) 17
Some stream of consciousness:

[Assistant] Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10\n50^8 × 8^3 × 11^3 = (5^2*2)^8*2^9*11^3 = 5^16*2^17*11^3 = 2*11^3*10^16 = 2662*10^16\nHence we would have 16 trailing 0's and the three digits from 2662\nTotal digits = 4 + 16 = 20 The answer: (B).


[User] Find the average of the first 9 natural numbers?\nOptions:\n(A) 8\n(B) 5\n(C) 10\n(D) 11\n(E) 12 OK. Let's think. Some random thoughts first:

[Assistant] Average of the first 'n' natural numbers = (n + 1)/2\nWe get (9 + 1)/2 = 5 The answer: (B).


[User]
Student: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\nOptions:\n(A) 60%\n(B) 50%\n(C) 25%\n(D) 18%\n(E) 10%.
Another student: Let's say, hmmm...

[Assistant] {Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 53 - {both} + 40\n{both} = 18%. Final answer: (D).


[User] Give a quick stream of consciousness before answering the following question. There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?\nOptions:\n(A) 10\n(B) 20\n(C) 40\n(D) 60\n(E) 120

[Assistant]
Each person is one participant of 4 games. So there are in all 16*5 = 80 instances of one participant games. But each game has 2 participants so total number of games = 80/2 = 40
The answer: (C).


[User] By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?\nOptions:\n(A) 20\n(B) 99\n(C) 88\n(D) 77\n(E) 61 Hmmm, my stream of consciousness:

[Assistant] Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km\nHe covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph. So, the answer is (A).


[User] Use some thinking to answer the following question. A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.3 km long?\nOptions:\n(A) 2 mins 14 sec\n(B) 2 mins 34 sec\n(C) 168 sec\n(D) 344 sec\n(E) 2 mins 44 sec

[Assistant] D = 25 * 60 + 1300 = 2800 m\nT = 2800/60 * 18/5 = 168 se So the final answer is (C).


[User] Find the smallest number which should be multiplied with 36963 to make it a perfect square.\nOptions:\n(A) 4\n(B) 7\n(C) 4\n(D) 3\n(E) 6 Now, let's think a bit. Some random thoughts:

[Assistant]
36963 = 111*111*3\nRequired smallest number = 3\n3 is the smallest number which should be multiplied with 36963 to make it a perfect square.
The final answer: (D).


[User] Q: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 70 kmph\n(B) 92 kmph\n(C) 75 kmph\n(D) 65 kmph\n(E) 77 kmph Let's give some random thoughts before answering.

[Assistant]
S = (80 + 60)/2 = 70 kmph
Therefore, the answer is (A).


[User] Use some thinking to answer the following question. 5, 10, 13, 26, 29, 58, 61, (....)\nOptions:\n(A) 128\n(B) 64\n(C) 122\n(D) 125\n(E) 130

[Assistant] Numbers are alternatively multiplied by 2 and increased by 3\n5 Ã— 2 = 10\n10 + 3 = 13\n13 Ã— 2 = 26\n26 + 3 = 29\n29 Ã— 2 = 58\n58 + 3 = 61\n61 Ã— 2 = 122 So the final answer is (C).


[User] A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 290 m long?\nOptions:\n(A) 40 sec\n(B) 52 sec\n(C) 45 sec\n(D) 48 sec\n(E) 50 sec Stream of consciousness:

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 290 = 650 m\nRequired time = 650 * 2/25 = 52 sec
Thus, the answer is (B).


[User] Last year, Company X made q dollars in profit. One thrid of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/4\n(B) q/5\n(C) q/8\n(D) q/6\n(E) q/7 Stream of consciousness:

[Assistant]
Profit = q\nProfit to company founder = q/3\nProfit to other partners = 2q/3\nNumber of other partners = 4\nProfit to each partner = (2q/3)/4 = q/6
Thus, the answer is (D).


[User] For some integer n, n^2 - 5 is divisible by all of the following EXCEPT\nOptions:\n(A) 41\n(B) 38\n(C) 29\n(D) 30\n(E) 31 Think first, then make a decision. Some random thoughts:

[Assistant] Hint: n^2-5 (n is an integer) is never multiple of 3 (try to prove this), hence 30 is out. So the answer is (D).


[User] How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 28 sec\n(C) 25 sec\n(D) 45 sec\n(E) 24 sec Let's think first. Stream of consciousness:

[Assistant]
D = 100 + 180 = 280\nS = 36 * 5/18 = 10 mps\nT = 280/10 = 28 sec
So, the answer is (B).


[User] In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much? Look at this series: 5, 43, 15, 33, 25, ...What number should come next?\nOptions:\n(A) 10\n(B) 40\n(C) 23\n(D) 13\n(E) 20 Stream of consciousness first, then make a decision:

[Assistant]
C\n23\nThis is an alternating addition and subtraction series. In the first pattern, 10 is added to each number to arrive at the next. In the second, 10 is subtracted from each number to arrive at the next.
Thus, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?\nOptions:\n(A) 3x\n(B) 4x\n(C) 5x\n(D) 12x\n(E) 27x

[Assistant]
Original perimeter = x\nHence original side = x/4\nNew side = 5x/4\nNew perimeter = 4*5x/4 = 5x
The answer: (C).


[User] A computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?\nOptions:\n(A) 2.25.\n(B) 3.00.\n(C) 4.5.\n(D) 5.225.\n(E) 6.25. Now, let's think a bit. Some random thoughts:

[Assistant]
Number of hours in 28 days = 28*24\nNumber of 30 mins in 28 days = 28*24*2\nNumber of computers built every 30 mins = 4032/( 28*24*2) = 3
The final answer: (B).


[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 4 days?\nOptions:\n(A) 2/5\n(B) 1/6\n(C) 1/4\n(D) 1/9\n(E) 2/9 OK. Let's think. Some random thoughts first:

[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 4 days = 4 (1/18) = 2/9. The answer: (E).


[User] Question: If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?\nOptions:\n(A) 100\n(B) 1000\n(C) 500\n(D) 2000\n(E) None Let's think first. Some random reasoning:

[Assistant] 5 × 5 × x = 100 × 100 × 5 ⇒ x = 2000. The final answer: (D).


[User] Give stream of consciousness and then the final answer. The speed of a train is 90 kmph. What is the distance covered by it in 30 minutes?\nOptions:\n(A) 15\n(B) 66\n(C) 77\n(D) 52\n(E) 45

[Assistant]
90 * 30/60 = 45 kmph
The final answer: (E).


[User] At a meeting of the 6 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 6 Chiefs of Staff be seated around a circular table?\nOptions:\n(A) 120\n(B) 480\n(C) 4040\n(D) 2520\n(E) 5040 Think first, then make a decision. Some random thoughts:

[Assistant] Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (4040), should be the number of ways to arrange all 6 without the seating restriction given. Is this incorrect? So the answer is (C).


[User] The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?\nOptions:\n(A) 3x\n(B) 4x\n(C) 6x\n(D) 12x\n(E) 27x Now, let's think a bit. Some random thoughts:

[Assistant]
Original perimeter = x\nHence original side = x/4\nNew side = 6x/4\nNew perimeter = 4*6x/4 = 6x
The final answer: (C).


[User]
Student: If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 118 km\n(B) 162 km\n(C) 1767 km\n(D) 1887 km\n(E) 405 km.
Another student: Let's say, hmmm...

[Assistant] 30 m/s = 30 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 30 * 18/5 * 15/4 km = 405 km. Final answer: (E).


[User] Use some thinking to answer the following question. In how many different ways can the letters of the word ‘PREPTY’ be arranged?\nOptions:\n(A) 160\n(B) 190\n(C) 210\n(D) 368\n(E) 360

[Assistant] Number of ways = 61/21 6X5X4X3X2X1 - 360 So the final answer is (E).


[User] What is the difference between 62% of 150 nd 20% of 250.\nOptions:\n(A) 16\n(B) 17\n(C) 43\n(D) 19\n(E) 20 Now, let's think a bit. Some random thoughts:

[Assistant]
(62/100) * 150 â€“ (20/100) * 250\n93 - 50 = 43
The final answer: (C).


[User] Question: What is the maximum number of pieces of birthday cake of size 4” by 4” that can be cut from a cake 16” by 16”?\nOptions:\n(A) 5\n(B) 4\n(C) 16\n(D) 20\n(E) 25 Let's think first. Some random reasoning:

[Assistant] The prompt is essentially asking for the maximum number of 4x 4 squares that can be cut from a larger 16 by 16 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 4 'pieces' each, we have (4)(4) = 16 total smaller squares (at maximum). The final answer: (C).


[User] Use some thinking to answer the following 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 16 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 41 min.\n(C) 27 min.\n(D) 23 min.\n(E) 25 min.

[Assistant] The ratio is 2:3 = gym:ride, so (16)(3/2) = 24 minutes at the gym, and 24 + 16 = 40 minutes exercise, so (2/3)(40) = 27 minutes yoga. So the final answer is (C).


[User]
Student: 60 is increased by 50%. Find the final number.\nOptions:\n(A) 100\n(B) 110\n(C) 90\n(D) 30\n(E) 160.
Another student: Let's say, hmmm...

[Assistant] Final number = Initial number + 50%(original number) = 60 + 50%(60) = 60 + 30 = 90. Final answer: (C).


[User] Give stream of consciousness and then the final answer. Ravi can do a piece of work in 25 days while Prakash can do it in 35 days. In how many days will they finish it together?\nOptions:\n(A) 15 7/9 days\n(B) 16 17/9 days\n(C) 15 1/19 days\n(D) 14 7/12 days\n(E) 14 7/9 days

[Assistant]
1/25 + 1/35 = 12/175\n175/12 = 14 7/12 days
The final answer: (D).


[User]
Student: A corporation triples its annual bonus to 50 of its employees. What percent W 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%.
Another student: Let's say, hmmm...

[Assistant] W of the employees’ new bonus is the increase Hence Final answer: (B).


[User] A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 40 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 40 minutes\n(D) 27 minutes\n(E) 11 minutes Let's think first. Stream of consciousness:

[Assistant]
1/20 - 1/40 = 1/40\n40 minutes
So, the answer is (C).


[User] The average of 9 results is 50. The average of first four results is 52 and average of last four results is 49 . what is the fifth result?\nOptions:\n(A) 22\n(B) 27\n(C) 29\n(D) 46\n(E) 92 Stream of consciousness:

[Assistant]
Total of results = 50 x 9 = 450\nTotal of first four results = 52 x 4 = 208\nTotal of Last four results = 49 x 4 = 196\nHence the fifth result = 450 - (208 + 196) = 46
Thus, the answer is (D).


[User] Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?\nOptions:\n(A) 25200\n(B) 2543\n(C) 2344\n(D) 233445\n(E) 52757 Let's give some random thoughts before answering.

[Assistant]
Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C3 x 4C2) = ( 7 x 6 x 5 x 4 x 3 ) 3 x 2 x 1 2 x 1 = 210. Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5! = 5 x 4 x 3 x 2 x 1 = 120. Required number of ways = (210 x 120) = 25200.
Therefore, the answer is (A).


[User] Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?\nOptions:\n(A) 53.33 mph\n(B) 56.67 mph\n(C) 52 mph\n(D) 64 mph\n(E) 66.67 mph Random thoughts:

[Assistant] Average Speed = Total distance/ Total time = (40 * 2 + 60 * 3)/(2 + 3) = 260/5 = 52 The final answer: (C).


[User] SHOW TIMER STATISTICS\nTo apply for the position of photographer at a local magazine, Veronica needs to include three or four of her pictures in an envelope accompanying her application. If she has pre-selected five photos representative of her work, how many choices does she have to provide the photos for the magazine?\nOptions:\n(A) 5\n(B) 10\n(C) 12\n(D) 15\n(E) 50 Let's think first. Stream of consciousness:

[Assistant]
Veronica can choose 3 photos in 5C3 = 10 ways\nShe can choose 4 photos in 5C4 = 5 ways\nTotal number of ways = 10 + 5 = 15
So, the answer is (D).


[User] What is the least number should be added to 1056, so the sum of the number is completely divisible by 27?\nOptions:\n(A) 21\n(B) 22\n(C) 23\n(D) 24\n(E) 25 Stream of consciousness:

[Assistant]
(1056 / 27) gives remainder 3\n24 + 3 = 27, So we need to add 24
Thus, the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\nOptions:\n(A) 9268\n(B) 9261\n(C) 9262\n(D) 9242\n(E) 9266

[Assistant]
A = 8000(21/20)3 = 9261
The answer: (B).


[User] Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book?\nOptions:\n(A) 25 days\n(B) 20 days\n(C) 46 days\n(D) 21 days\n(E) None of these Let's think first. Stream of consciousness:

[Assistant]
Remaining pages to read = 445 – 157 = 288\n∴ Reqd. number of days = 288⁄24 = 12
So, the answer is (E).


[User] In case T, S and X are the only individuals sewing on committee B, the members of committee C should be:\nOptions:\n(A) Z and Y\n(B) Z and W\n(C) Y and V\n(D) Y and U\n(E) Y and W Stream of consciousness first, then make a decision:

[Assistant]
Y and U Because in committee b the individuals are S and X so in committee c the individuals will be Y and U
Thus, the answer is (D).


[User] Use some thinking to answer the following question. An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 7 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 180\n(E) 630

[Assistant] 7C3 * 4C2 * 3C2 = 35*6*3 = 630. So the final answer is (E).


[User] Question: A train 140 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 18 sec\n(B) 6 sec\n(C) 8 sec\n(D) 15 sec\n(E) 7 sec Random thoughts:

[Assistant] Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 140 * 2/35 = 8 se The final answer: (C).


[User] The average age of P, Q, R, S five years ago was 45 years. By including T, the present average age of all the five is 49 years. The present age of T is?\nOptions:\n(A) 64 years\n(B) 48 years\n(C) 45 years\n(D) 40 years\n(E) None of these Think first, then make a decision. Some random thoughts:

[Assistant] Present age of P, Q, R, S = 45 x 4 + 20 = 200\nPresent age of P, Q, R, S and T = 49 x 5 = 245\nHence, the age of T = 245 - 200 = 45 years. So the answer is (C).


[User] Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 5 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\nOptions:\n(A) 60 gallons\n(B) 200 gallons\n(C) 120 gallons\n(D) 180 gallons\n(E) 130 gallons Stream of consciousness:

[Assistant]
Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 5 gallons\\nVolume of whole = 5 * 40 = 200 gallons.
Thus, the answer is (B).


[User]
Student: A can do a job in 18 days and B can do it in 24 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 22 1/2\n(C) 20 4/7\n(D) 22 1/9\n(E) 22 1/1.
Another student: Let's say, hmmm...

[Assistant] 1/18 + 1/24 = 7/72\n72/7 = 72/7 *2 = 20 4/7 days Final answer: (C).


[User]
Student: A family with 1 mother, 1 father, and 4 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)  4\n(C)  6\n(D)  8\n(E)  24.
Another student: Let's say, hmmm...

[Assistant] Mother has a fixed place and father, so there are 4! ways to arrange the children, hence Final answer: (E).


[User] Question: A man goes into a barbershop and gets a $15 haircut. He pays the barber with a $20 bill, but the barber doesn't have change because it is an especially slow day. The barber goes to the flower shop next to his own and trades the $20 bill for a $10 dollar bill and two $5 bills. Then he gives the man his $5 in change.\nLater the lady from the flower shop confronts the barber and tells him that the $20 bill he gave her was counterfeit. The barber agrees and he gives the lady a different $20 bill.\nLater that day he tries to figure out how much money he lost. What did he lose?\nOptions:\n(A) $5\n(B) $10\n(C) $12\n(D) $15\n(E) $20 Let's think first. Some random reasoning:

[Assistant] He lost $5. The lady from the flower shop gave him $20 in change, but eventually got $20 back. She broke even. The man who got the haircut gave the barber nothing (except counterfeit money) but got $5 back from the barber. So the barber lost only $5, and gave a free haircut. The final answer: (A).


[User] A car finishes a journey in ten hours at the speed of 65 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 10 km/hr\n(C) 65 km/hr\n(D) 16 km/hr\n(E) None of these Stream of consciousness:

[Assistant]
Distance covered by the car = 65 × 10 = 650 km\n\ Speed = 650⁄5 = 130 km/hr\n\ Speed gain = 130 – 65 = 65 km/hr
Thus, the answer is (C).


[User] 80 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\nOptions:\n(A) 75\n(B) 80\n(C) 85\n(D) 90\n(E) 60 Stream of consciousness first, then make a decision:

[Assistant]
Answer = E\nPlease refer diagram below\n70 - 10 = 60
Thus, the answer is (E).


[User] 1,2,4,7,_,16\nOptions:\n(A) 11\n(B) 9\n(C) 10\n(D) 12\n(E) 13 Now, let's think a bit. Some random thoughts:

[Assistant]
Each new number is the same as the last number with the adder growing by 1. This would yield 11.
The final answer: (A).


[User] Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 3 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 2/1\n(B) 3/8\n(C) 8/5\n(D) 5/8\n(E) 5/3 Stream of consciousness first, then make a decision:

[Assistant]
Distance traveled by Eddy = 600 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 600/3 = 200 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 3 hours\nAverage speed of Freddy = 300/3 = 100 km/hour\nRatio of average speed of Eddy to Freddy = 200/100 = 2/1
Thus, the answer is (A).


[User] Question: Solve below question 3x - 5 = -20\nOptions:\n(A) -8\n(B) -9\n(C) -5\n(D) -4\n(E) 1 Let's think first. Some random reasoning:

[Assistant] 1. Subtract 1 from both sides: 3x - 5 + 5 = -20 + 5 2. Simplify both sides: 3x = -15 3. Divide both sides by 3: 4. Simplify both sides: x = -5 The final answer: (C).


[User] Use some thinking to answer the following 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 nine 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) 150%\n(B) 200%\n(C) 250%\n(D) 300%\n(E) 350%

[Assistant] Dolphin once in 3 min;\nBeluga once in 9 min;\nSo, dolphin comes up 3 times frequently than beluga, which is 300% (9-3)/2*100. So the final answer is (D).


[User] A man rows his boat 120 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?\nOptions:\n(A) 6\n(B) 15\n(C) 17\n(D) 18\n(E) 2 Stream of consciousness first, then make a decision:

[Assistant]
Speed downstream = d/t = 120/(2 ) = 60 kmph\nSpeed upstream = d/t = 60/(2) = 30 kmph\nThe speed of the stream = (60 - 30)/2 = 15 kmph
Thus, the answer is (B).


[User] Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $3 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $21.25m\n(B) $25.5m\n(C) $90m\n(D) $127.5m\n(E) $153m Now, let's think a bit. Some random thoughts:

[Assistant]
2/10*1/6*(total) = 3\n1/30*(total) = 3\n(total) = 3*30 = 90
The final answer: (C).


[User] A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these numbers of roses, the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively. On Monday, he counts 189 roses in the garden. He plucks the roses as per his plan on consecutive days and the new roses bloom as per intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?\nOptions:\n(A) 6\n(B) 7\n(C) 6\n(D) 4\n(E) 1 Let's think first. Stream of consciousness:

[Assistant]
If he plucks 23, then only 18 grows the next day. This means total roses get decreases by 5. So after n days assume the number of roses got decreased 185 where n = 37, then 4 roses left.
So, the answer is (D).


[User] In case M 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) N and O\n(E) T and U Think first, then make a decision. Some random thoughts:

[Assistant] N and O should serve on A So the answer is (D).


[User] Rs.500 amounts to Rs.670 in 5 years at simple interest. If the interest is increased by 2%, it would amount to how much?\nOptions:\n(A) 150\n(B) 550\n(C) 760\n(D) 450\n(E) 260 Now, let's think a bit. Some random thoughts:

[Assistant]
(500*5*2)/100 = 50\n500+ 50 = 550
The final answer: (B).


[User] Which of the following is not divisible by 6?\nOptions:\n(A) 10032\n(B) 21192\n(C) 47816\n(D) 91232\n(E) 72031 OK. Let's think. Some random thoughts first:

[Assistant] Divisibility rule of 6: Number must be divisible by both 2 and 3\nOption A: 10032, Divisible by 2. Hence divisible by 6\nOption B: 21192, Divisible by 2 & 3. Hence divisible by 6\nOption C: 47816, Divisible by 2. Hence divisible by 6\nOption D: 91232, Divisible by 2. Hence divisible by 6\nOption E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6 The answer: (E).


[User] Two trains are moving at 40 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 41/2 sec\n(B) 5/2 sec\n(C) 61/2 sec\n(D) 71/6 sec\n(E) 49/6 sec Now, let's think a bit. Some random thoughts:

[Assistant]
70 + 40 = 110 * 5/18 = 275/9mps\nD = 150 + 100 = 250 m\nT = 250 * 9/275 = 49/6 sec
The final answer: (E).


[User] 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) 17 1/4 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 17 1/8 min\n(E) 17 5/7 min Hmmm, my stream of consciousness:

[Assistant] 1/20 + 1/30 - 1/40 = 7/120\n120/7 = 17 1/7 So, the answer is (C).


[User]
Student: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph.
Another student: Let's say, hmmm...

[Assistant] Speed downstream = 40 + 20 = 60 kmph\nSpeed upstream = 40 - 20 = 20 kmph Final answer: (B).


[User] Q: A shipment of 8 TV sets contains 4 black and white sets and 4 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) 11/14\n(C) 5/14\n(D) 11/28\n(E) 13/28 Let's give some random thoughts before answering.

[Assistant]
4/8 * 3/7 = 12/56\n1-(12/56) = 44/56 = 11/14
Therefore, the answer is (B).


[User] If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =\nOptions:\n(A)  1155\n(B)  2310\n(C)  4620\n(D)  30030\n(E)  60060 Now, let's think a bit. Some random thoughts:

[Assistant]
The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310.
The final answer: (B).


[User] In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?\nOptions:\n(A) 200\n(B) 1680\n(C) 240\n(D) 250\n(E) 260 Stream of consciousness:

[Assistant]
8p4 = 8 X 7 Ã— 6 Ã— 5 = 1680
Thus, the answer is (B).


[User] In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is\nOptions:\n(A) 22\n(B) 7\n(C) 8\n(D) 6\n(E) 51 Let's think first. Stream of consciousness:

[Assistant]
Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.
So, the answer is (B).


[User] The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?\nOptions:\n(A) 30\n(B) 18\n(C) 28\n(D) 25\n(E) 32 Think first, then make a decision. Some random thoughts:

[Assistant] (Mathematics + Algebra) - (Algebra + Geometry) = 28\nMathematics - Geometry = 28 So the answer is (C).


[User] Q: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 18\n(B) 99\n(C) 77\n(D) 62\n(E) 12 Let's give some random thoughts before answering.

[Assistant]
8/12 + 6/x = 1\nX = 18 days
Therefore, the answer is (A).


[User] A boy runs 200 metres in 48 seconds. What is his speed ?\nOptions:\n(A) 10 km/hr\n(B) 15 km/hr\n(C) 11 km/hr\n(D) 12 km/hr\n(E) 14 km/hr Hmmm, my stream of consciousness:

[Assistant] 200/48 * 18/5 = 15 km/hr So, the answer is (B).


[User] Question: The average of first 12 even numbers is?\nOptions:\n(A) 19\n(B) 18\n(C) 16\n(D) 13\n(E) 17 Random thoughts:

[Assistant] Sum of 12 even numbers = 12 * 13 = 156\nAverage = 156/12 = 13 The final answer: (D).


[User] If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?\nOptions:\n(A) 1:1\n(B) 1:2\n(C) 1:9\n(D) 1:6\n(E) 1:4 Think first, then make a decision. Some random thoughts:

[Assistant] A square and a rhombus on the same base are equal in are So the answer is (A).


[User] A train 160 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 50 sec\n(C) 44 sec\n(D) 24 sec\n(E) 60 sec OK. Let's think. Some random thoughts first:

[Assistant] Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 160 + 140 = 300 m\nRequired time = 300 * 2/25 = 24 sec The answer: (D).


[User] Use some thinking to answer the following question. Express 60 mps in kmph?\nOptions:\n(A) 200\n(B) 182\n(C) 216\n(D) 127\n(E) 400

[Assistant] 60 * 18/5 = 216 kmph So the final answer is (C).


[User] Question: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?\nOptions:\n(A) 45%\n(B) 49%\n(C) 52%\n(D) 59%\n(E) 61% Let's think first. Some random reasoning:

[Assistant] Total number of votes polled = (3136 + 7636 + 11628) = 22400\nSo, Required percentage = 11628/22400 * 100 = 52% The final answer: (C).


[User] Use some thinking to answer the following question. Find a a prime number from the options below.\nOptions:\n(A) 86\n(B) 87\n(C) 88\n(D) 89\n(E) 90

[Assistant] Clearly, 89 is a prime number. So the final answer is (D).


[User] If n is an integer, then the least possible value of |48 - 7n| is?\nOptions:\n(A) 1\n(B) 0\n(C) 5\n(D) 4\n(E) 2 Stream of consciousness:

[Assistant]
|48 - 7n| represents the distance between 48 and 7n on the number line. Now, the distance will be minimized when 7n, which is multiple of 7, is closest to 48. Multiple of 7 which is closest to 48 is 49 (for n = 7), so the least distance is 1: |48 - 49| = 1.
Thus, the answer is (A).


[User]
Some question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2 days\n(C) 8 days\n(D) 4 days\n(E) 3 days
Some stream of consciousness:

[Assistant] Work done by A in 5 days = 5/10 = 1/2\nRemaining work = 1/2\nWork done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6\nRemaining work = 1/2 * 6/1 = 3 days. The answer: (E).


[User]
Student: The average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?\nOptions:\n(A) 195\n(B) 175\n(C) 184\n(D) 201\n(E) 188.
Another student: Let's say, hmmm...

[Assistant] The total of 21 numbers = 21X25 = 525\nThe total of first 10 and last 10 numbers is = 10 X 14+10 X 19 = 330\nSo, the middle number is (525 - 330 ) = 195 Final answer: (A).


[User] Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 30, and 40 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A)  4/11\n(B)  1/2\n(C)  15/22\n(D)  120/7\n(E)  11/4 Think first, then make a decision. Some random thoughts:

[Assistant] P1 takes 12 hrs\nRate for P2P3 together = 1/30 + 1/40 = 7/120\nTherefore they take 120/7\nRatio = 120/7 = So the answer is (D).


[User] Question: What is the probability that Company Q's advertisement will be one of the first two be shown during the first commercial break?\nOptions:\n(A)  1/ 225\n(B)  1 / 30\n(C)  1 /15\n(D)  2 / 15\n(E)  4 /15 Let's think first. Some random reasoning:

[Assistant] Q 1/15 + (14/15) * 1/14 = 2/15 The final answer: (D).


[User] Use some thinking to answer the following question. 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 consonant, and each letter can be used only once?\nOptions:\n(A) 21\n(B) 42\n(C) 120\n(D) 600\n(E) 200

[Assistant] Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)\nFourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)\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 5 ways = 200 So the final answer is (E).


[User] What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x\nOptions:\n(A) 66\n(B) 68\n(C) 70\n(D) 72\n(E) 74 Stream of consciousness first, then make a decision:

[Assistant]
8\n8 x 2 - 6 = 10\n10 x 2 - 6 = 14\n14 x 2 - 6 = 22\n22 x 2 - 6 = 38\n38 x 2 - 6 = 70
Thus, the answer is (C).


[User] In what time will a cart 50 m long cross, if its speed be 36 km/hr?\nOptions:\n(A) 25\n(B) 5\n(C) 15\n(D) 20\n(E) 30 Stream of consciousness:

[Assistant]
Speed = 36 * 5/18 = 10 m/sec\nTime taken = 50/10 = 5 sec.
Thus, the answer is (B).


[User] There are 9 person among whom 2 are 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) 7!*2!\n(C) 6!*2!\n(D) 2!*1!\n(E) 5!*1! Let's think first. Stream of consciousness:

[Assistant]
Total number of ways = 6!*2!.
So, the answer is (C).


[User] A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?\nOptions:\n(A) 19\n(B) 15\n(C) 16\n(D) 17\n(E) 18 Now, let's think a bit. Some random thoughts:

[Assistant]
Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do the job. Then, 8:5::12:x = > 8x = 5*12 = > x = 15 days.
The final answer: (B).


[User] Give stream of consciousness and then the final answer. Find the largest 7 digit number which is exactly divisible by 88?\nOptions:\n(A) 9998765\n(B) 9998907\n(C) 9999944\n(D) 9999954\n(E) 9999968

[Assistant]
Largest 7 digit number is 9999999\nAfter doing 9999999 ÷ 88 we get remainder 31\nHence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968
The final answer: (E).


[User] How much is 55% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 2\n(D) 12\n(E) 99 Stream of consciousness first, then make a decision:

[Assistant]
(55/100) * 40 – (4/5) * 25\n22 - 20 = 2
Thus, the answer is (C).


[User] Question: One copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?\nOptions:\n(A) 10 minutes\n(B) 20 minutes\n(C) 25 minutes\n(D) 30 minutes\n(E) 35 minutes Random thoughts:

[Assistant] Total work done by both machines in a minute = 20 + 10 = 30 copies\nTotal number of copies required = 900\nTime = 900/30 = 30 mins The final answer: (D).


[User] A 160 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?\nOptions:\n(A) 96 kmph\n(B) 64 kmph\n(C) 52 kmph\n(D) 86 kmph\n(E) 76 kmph Stream of consciousness:

[Assistant]
S = 160/9 * 18/5 = 64 kmph
Thus, the answer is (B).


[User]
Some question: 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) Rs.2205\n(B) Rs.2200\n(C) Rs.2160\n(D) Rs.2040\n(E) Rs.2050
Some stream of consciousness:

[Assistant] A = 2000(21/20)2 = 2205 The answer: (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 C?\nOptions:\n(A) 2250\n(B) 3000\n(C) 3018\n(D) 3019\n(E) 3012 Stream of consciousness first, then make a decision:

[Assistant]
60*5:36*6:75*3\n100: 72: 75\n75/247 * 7410 = 2250
Thus, the answer is (A).


[User] The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\nOptions:\n(A) 3\n(B) 8\n(C) 5\n(D) 6\n(E) 4 Stream of consciousness:

[Assistant]
If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields such a number.
Thus, the answer is (E).


[User] Four of the five parts numbered (a),(b),(c),(d) and (e) in the following sequence are exactly equal. Which part is not equal to the other four? The number of that part is the answer\nOptions:\n(A) 120 × 12 – 22 × 20\n(B) 10% of 5000 + 2⁄5 of 1200\n(C) 80 × 40 – 20 × 110\n(D) 8640 ÷ 60 + 53.5 × 16\n(E) 5314 – 3029 – 1285 Stream of consciousness:

[Assistant]
The other parts are equal to 1000.
Thus, the answer is (B).


[User] Find the product of the localvalue and absolutevalue of 5 in 20568?\nOptions:\n(A) 1000\n(B) 2500\n(C) 1200\n(D) 5000\n(E) 1600 Stream of consciousness first, then make a decision:

[Assistant]
Local value of 5 = 5 x 100 = 500\nPlace value of 5 = 5\nThere fore = 5 x 500 = 2500
Thus, the answer is (B).


[User] The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\nOptions:\n(A) 31.25\n(B) 31.5\n(C) 33.75\n(D) 35.0\n(E) 37.5 OK. Let's think. Some random thoughts first:

[Assistant] Rate of flow of water in second hour = 12 gallons per hour\nRate of flow of water in first hour = 12/(3/2) = 8 gallons per hour\nRate of flow of water in third hour = (125/100)* 12 = (5/4) * 12 = 15 gallons per hour\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 12+8+15 = 35 gallons The answer: (D).


[User] A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 82. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 672\n(C) 652\n(D) 646\n(E) 721 Now, let's think a bit. Some random thoughts:

[Assistant]
8 * 82 = 656 – 10 = 646
The final answer: (D).


[User] The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?\nOptions:\n(A) 15\n(B) 18\n(C) 77\n(D) 52\n(E) 42 Let's think first. Stream of consciousness:

[Assistant]
90 * 12/60 = 18 kmph
So, the answer is (B).


[User] Give stream of consciousness and then the final answer. How much more would Rs.60000 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) 992\n(D) 1446\n(E) 923

[Assistant]
60000(11/10)4 - 60000(6/5)2 = 1446
The final answer: (D).


[User] Question: The average of six results is 15 and that of the first five is 13. The sixth result is?\nOptions:\n(A) 20\n(B) 25\n(C) 15\n(D) 22\n(E) 18 Let's think first. Some random reasoning:

[Assistant] 6 * 15 â€“ 5 * 13 = 25 The final answer: (B).


[User] Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 40, and 50 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A)  4/11\n(B)  1/2\n(C)  15/22\n(D)  200/9\n(E)  11/4 Stream of consciousness first, then make a decision:

[Assistant]
P1 takes 12 hrs\nRate for P2P3 together = 1/40 + 1/50 = 9/200\nTherefore they take 200/9\nRatio = 200/9 =
Thus, the answer is (D).


[User] What is the sum of the 1st 5 prime numbers greater than 20?\nOptions:\n(A) 121\n(B) 151\n(C) 168\n(D) 164\n(E) 161 OK. Let's think. Some random thoughts first:

[Assistant] Required sum = (23 + 29 + 31 + 37 + 41) = 161\nNote: 1 is not a prime number The answer: (E).


[User] Use some thinking to answer the following question. The edge of a cube is 5a cm. Find its surface?\nOptions:\n(A) 150a2 cm2\n(B) 170a2 cm2\n(C) 125a2 cm2\n(D) 175a2 cm2\n(E) 120a2 cm2

[Assistant] 6a2 = 6 * 5a * 5a = 150a2 So the final answer is (A).


[User] Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?\nOptions:\n(A) 12\n(B) 14\n(C) 27\n(D) 53\n(E) 86 Hmmm, my stream of consciousness:

[Assistant] In this series, each number is repeated, then 13 is subtracted to arrive at the next number. So, the answer is (B).


[User] If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 9490\n(E) 1268 Stream of consciousness:

[Assistant]
A = 7500(26/25)^6 = 9490
Thus, the answer is (D).


[User] A car traveled from San Diego to San Francisco at an average speed of 66 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\nOptions:\n(A) 24.\n(B) 32.\n(C) 36.\n(D) 42.\n(E) 44. Let's think first. Stream of consciousness:

[Assistant]
Let the time taken be = x\nOne way distance = 66x\nTotal distance traveled = 2 * 66x = 132x\nTotal time taken = x + 2x = 3x\nAverage speed = 132x/3x = 44
So, the answer is (E).


[User] Give stream of consciousness and then the final answer. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 6\n(E) 7

[Assistant]
T = 60/36 * 18/5 = 6 sec
The final answer: (D).


[User] Use some thinking to answer the following question. For any numbers w and z, w#z = w^3z(8 - w^2). If both z and w#z are positive numbers, which of the following could be a value of w?\nOptions:\n(A) 9\n(B) 3\n(C) 0\n(D) −2\n(E) −9

[Assistant] Since w#Z and w are positive, we need to take the value of w such that w#z or w^3z(8 - w^2) is positiv So the final answer is (E).


[User] Give stream of consciousness and then the final answer. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 39\n(B) 27\n(C) 30\n(D) 26\n(E) 29

[Assistant]
20 + 24 + 8 * 2 = 60/2 = 30
The final answer: (C).


[User] Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?\nOptions:\n(A) 70\n(B) 71\n(C) 75\n(D) 78\n(E) 74 Now, let's think a bit. Some random thoughts:

[Assistant]
There will be 2 series\n1st: 72 73 74 75 76 (Increasing by 1)\n2nd: 76 77 78 79 (Increasing by 1)\nFinal: 72 76 73 77 74 78 75
The final answer: (D).


[User]
Some question: There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon.\nOptions:\n(A) 8a/3\n(B) 7a/3\n(C) 5a/3\n(D) a/3\n(E) 11a/3
Some stream of consciousness:

[Assistant] Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it\nGoing this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3. The answer: (A).


[User] Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989?\nOptions:\n(A) 8%\n(B) 25%\n(C) 41%\n(D) 59%\n(E) 70% Think first, then make a decision. Some random thoughts:

[Assistant] Dick saved = $ 3240\nJane saved = $ 1760 (jane saved $1240 less than she did the prior year)\nJane saved approximately $1240/$3000 (close to 41%) less in 1990 So the answer is (C).


[User] How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 28\n(C) 26\n(D) 27\n(E) 23 Stream of consciousness first, then make a decision:

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


[User] What is the are of an equilateral triangle of side 12 cm?\nOptions:\n(A) 36âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 14âˆš3 cm2 Now, let's think a bit. Some random thoughts:

[Assistant]
Area of an equilateral triangle = âˆš3/4 S2\nIf S = 12, Area of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;
The final answer: (A).


[User] In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-\nOptions:\n(A) 9/18\n(B) 9/16\n(C) 9/11\n(D) 9/12\n(E) 9/13 Think first, then make a decision. Some random thoughts:

[Assistant] (1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 12×0+12×51612×0+12×516 = 532532\n(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 12×1+12×43212×1+12×432 = 9/16 So the answer is (B).


[User] Use some thinking to answer the following question. Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have\nOptions:\n(A)  4\n(B)  6\n(C)  9\n(D)  10\n(E)  5

[Assistant] To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and bottom, hence 4+1 = 5. So the final answer is (E).


[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 B?\nOptions:\n(A) 2160\n(B) 3000\n(C) 3018\n(D) 3019\n(E) 3012 Let's think first. Stream of consciousness:

[Assistant]
60*5:36*6:75*3\n100: 72: 75\n72/247 * 7410 = 2160
So, the answer is (A).


[User] There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?\nOptions:\n(A) 7\n(B) 5\n(C) 13\n(D) 20\n(E) 4 Let's think first. Stream of consciousness:

[Assistant]
If you split 20 pieces of candy between 4 kids each kid will get 5 pieces of candy
So, the answer is (B).


[User] In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?\nOptions:\n(A) 3628800\n(B) 3628800\n(C) 3628812\n(D) 3428800\n(E) 3368800 Let's think first. Stream of consciousness:

[Assistant]
Option 'B'\nThe total number of arrangements is\n10P10 = 10! = 3628800
So, the answer is (B).


[User] Use some thinking to answer the following question. The sale price shirts listed f or Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 280\n(B) 290\n(C) Rs.342\n(D) 250\n(E) 253

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


[User] If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?\nOptions:\n(A) 22 1/7 %\n(B) 22 3/2 %\n(C) 21 3/7 %\n(D) 22 1/2 %\n(E) 22 1/2 % Stream of consciousness first, then make a decision:

[Assistant]
9 = (1*42*R)/100\nR = 21 3/7 %
Thus, the answer is (C).


[User]
Student: There are different 6 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) 30.
Another student: Let's say, hmmm...

[Assistant] Maximum points of intersection between n different circles = n*(n - 1) = 6*5 = 30 Final answer: (E).


[User] If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?\nOptions:\n(A) xy/z\n(B) (x + y) /z\n(C) xz/y\n(D) (x - y) /z\n(E) (x + z) /y Now, let's think a bit. Some random thoughts:

[Assistant]
As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.
The final answer: (E).


[User] Question: A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?\nOptions:\n(A) 338\n(B) 277\n(C) 350\n(D) 288\n(E) 271 Random thoughts:

[Assistant] D = 80 * 5/18 = 22 = 488 – 200 = 288 The final answer: (D).


[User] Give stream of consciousness and then the final answer. The average of first 9 odd numbers is?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 9

[Assistant]
Sum of 9 odd no. = 90\nAverage = 81/9 = 9
The final answer: (E).


[User] Question: Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet?\nOptions:\n(A) o\n(B) p\n(C) e\n(D) r\n(E) s Random thoughts:

[Assistant] 10th letter from your left is J\n7th letter from your right is T\nThe mid letter between J and T is O. The final answer: (A).


[User] Use some thinking to answer the following question. A can do a job in 45 days and B can do it in 30 days. A and B working together will finish four times the amount of work in ------- days?\nOptions:\n(A) 30days\n(B) 45 days\n(C) 80 days\n(D) 72 1/2 days\n(E) 72 days

[Assistant] 1/45+ 1/30 = 5/90 = 1/18\n18/1 = 18*4 = 72 days So the final answer is (E).


[User] Give stream of consciousness and then the final answer. In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?\nOptions:\n(A) 25/153\n(B) 28/153\n(C) 5/17\n(D) E=4/9\n(E) E=12/17

[Assistant]
P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17.
The final answer: (E).


[User] Q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 75 miles\n(D) 120 miles\n(E) 400 miles Let's give some random thoughts before answering.

[Assistant]
Answer = C. 75 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 3 hours, difference = 30 * 3 = 90 miles\nFast train trailing 15 miles, so effective difference = 90 - 15 = 75 miles
Therefore, the answer is (C).


[User] The inverse ratio of 9: 2: 1 is?\nOptions:\n(A) 1:9:18\n(B) 2:9:18\n(C) 2:7:18\n(D) 2:13:18\n(E) 2:9:15 Now, let's think a bit. Some random thoughts:

[Assistant]
1/9: 1/2: 1/1 = 2:9:18
The final answer: (B).


[User]
Student: 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 360 pastries ?\nOptions:\n(A) 6 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours..
Another student: Let's say, hmmm...

[Assistant] In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 360 pastries would take 360 ÷ 60 = 6 hours. Final answer: (A).


[User]
Some question: Scott's average (arithmetic mean) golf score on his first four rounds was 18.What score does he need on his fifth round to drop his average score by 2 points?\nOptions:\n(A) 68\n(B) 72\n(C) 8\n(D) 88\n(E) 312
Some stream of consciousness:

[Assistant] Average score for first 4 rounds = 18\nAverage score after 5 rounds = 16\nScore Scott needs on his 5th round to drop average score by 2 points = 18 - (2*5) = 8 The answer: (C).


[User] A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 12/11\n(B) 12/24\n(C) 13/16\n(D) 18/12\n(E) 14/23 Stream of consciousness first, then make a decision:

[Assistant]
One day work of A and B = 1/1\nOne day work of B and C = 1/2\nOne day work of C and A = 1/3\n2(A + B + C) = 1/1+ 1/2 + 1/3\n2(A + B + C) = 11/6\n(A + B + C) = 11/12\nNumber of days required = 12/11 days.
Thus, the answer is (A).


[User] How many positive integers less than 60 have a reminder 01 when divided by 3?\nOptions:\n(A) 13\n(B) 14\n(C) 15\n(D) 16\n(E) 20 Stream of consciousness first, then make a decision:

[Assistant]
1 also gives the remainder of 1 when divided by 3. So, there are total of 20 numbers.
Thus, the answer is (E).


[User] The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 32\n(B) 83\n(C) 45\n(D) 53\n(E) 64 Let's think first. Stream of consciousness:

[Assistant]
Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 55 = 385\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 385 - 780 = 32.
So, the answer is (A).


[User] What is the are of an equilateral triangle of side 4 cm?\nOptions:\n(A) 64√5\n(B) 4√3\n(C) 64√4\n(D) 64√3\n(E) 64√2 Think first, then make a decision. Some random thoughts:

[Assistant] Area of an equilateral triangle = √3/4 S2\nIf S = 4, Area of triangle = √3/4 * 4 * 4 = 4√3 cm2; So the answer is (B).


[User] A can do a work in 9 days and B can do the same work in 27 days. If they work together, in how many days will they complete the work?\nOptions:\n(A) 6 3/4 days\n(B) 7 3/4 days\n(C) 5 3/4 days\n(D) 6 1/4 days\n(E) 6 2/4 days Think first, then make a decision. Some random thoughts:

[Assistant] One day's work of A and B = 1/9 + 1/27 = (3+1)/27 = 4/27 So, the time taken to complete the work is 6 3/4 days. So the answer is (A).


[User] An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 4 utility stocks, how many different combinations of 6 stocks are possible?\nOptions:\n(A) 1200\n(B) 900\n(C) 600\n(D) 180\n(E) 720 OK. Let's think. Some random thoughts first:

[Assistant] 6C2 * 5C2 * 4C2 = 15*10*6 = 900. The answer: (C).


[User]
Student: A merchant sold two items for Rs.1700 each, and makes a profit of 25% from the first item and a loss of 20% from the second item. calculate the total gain or loss.\nOptions:\n(A) 7\n(B) 5\n(C) 3\n(D) 6\n(E) 4.
Another student: Let's say, hmmm...

[Assistant] (25*20)/100 = 5%loss Final answer: (B).


[User] An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q’s share in it?\nOptions:\n(A) 1,800\n(B) 2,700\n(C) 3,600\n(D) Data inadequate\n(E) None of these Hmmm, my stream of consciousness:

[Assistant] Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine So, the answer is (D).


[User] Q: There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3.\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]
Start from 1: 1368, Start from 2: 2358, Start from 3: 378, Start from 4: 48, Start from 5: 528, Start from 6: 678, Start from 7: 78, Why start from 8???, Start from 9: 918. So flights can start from all 8 other cities.
Therefore, the answer is (B).


[User] Give stream of consciousness and then the final answer. In what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way?\nOptions:\n(A) 3 sec\n(B) 4 sec\n(C) 8 sec\n(D) 6 sec\n(E) 7 sec

[Assistant]
T = 52/24 * 18/5 = 8 se
The final answer: (C).


[User] Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of color sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Hmmm, my stream of consciousness:

[Assistant] 1 sensor between the black and white border on the edge of disk\n1 is enough to determine the drection So, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. Which of the following numbers is divisible by each one of 3, 7, 9 and 11?\nOptions:\n(A) 639\n(B) 2079\n(C) 3791\n(D) 37911\n(E) None of these

[Assistant]
639 is not divisible by 7;\n2079 is divisible by each one of 3, 7, 9, 11.
The answer: (B).


[User] There are 3 teams each with 3 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 27\n(D) 28\n(E) 45 Let's think first. Stream of consciousness:

[Assistant]
There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand.
So, the answer is (C).


[User] Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?\nOptions:\n(A) 14\n(B) 12\n(C) 13\n(D) 15\n(E) 11 Hmmm, my stream of consciousness:

[Assistant] This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on. So, the answer is (C).


[User] Question: Find the least number must be added to 433124 so that remaining no.is divisible by 17?\nOptions:\n(A) 3\n(B) 2\n(C) 5\n(D) 6\n(E) 1 Random thoughts:

[Assistant] On dividing 433124 by 17 we get the remainder 15, so 2 should be added The final answer: (B).


[User] The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?\nOptions:\n(A) 3x\n(B) 4x\n(C) 9x\n(D) 12x\n(E) 27x Think first, then make a decision. Some random thoughts:

[Assistant] Original perimeter = x\nHence original side = x/4\nNew side = 3x/4\nNew perimeter = 4*3x/4 = 3x So the answer is (A).


[User]
Some question: Find the average of the first 25 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 13\n(D) 11\n(E) 12
Some stream of consciousness:

[Assistant] Average of the first 'n' natural numbers = (n + 1)/2\nWe get (25 + 1)/2 = 13 The answer: (C).


[User] Question: 5,9,19,31,51,__\nOptions:\n(A) 84\n(B) 80\n(C) 81\n(D) 82\n(E) 83 Let's think first. Some random reasoning:

[Assistant] (9+5) +5 = 19\n(16+9) +6 = 31\n(28+16)+7 = 51\n(48+28)+8 = 84 The final answer: (A).


[User] If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?\nOptions:\n(A) 52\n(B) 166\n(C) 84\n(D) 122\n(E) 168 Think first, then make a decision. Some random thoughts:

[Assistant] 10x = 8y = 14z\n5x = 4y = 7z\n5(4*7) = 4(5*7) = 7(5*4)\nAddition = 28+20+35 = 83\nAnswer would be multiple of 83 which is 166 So the answer is (B).


[User] A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?\nOptions:\n(A) 20\n(B) 22\n(C) 24\n(D) 27\n(E) 30 Now, let's think a bit. Some random thoughts:

[Assistant]
Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes
The final answer: (D).


[User] In an office, 50 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)  8\n(B)  64\n(C)  50\n(D)  144\n(E)  160 Think first, then make a decision. Some random thoughts:

[Assistant] (10/100)Workers = 16 = > number of workers = 160\n(50/100)*Workers = x+16 = > x = 8 So the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. Ten percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $400 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $21.25m\n(B) $25.5m\n(C) $106.25m\n(D) $127.5m\n(E) $20000m

[Assistant]
10/100*1/5*(total) = 400\n1/50*(total) = 400\n(total) = 400*50 = 20000
The answer: (E).


[User] If c and d are unique prime integers, which of the following must be even?\nOptions:\n(A) c−d\n(B) 2c−2d\n(C) c−2d\n(D) 2c−d\n(E) cd^2 Think first, then make a decision. Some random thoughts:

[Assistant] Any number multiplied by 2 has to be an even number So the answer is (B).


[User] Use some thinking to answer the following question. There are 1000000 people in city X, out of these 70% people having voting rights and out of those 55% voters votes candidate A and out of them 20% voters are senior citizens.Then find out the number of senior citizens who votes candidate A having voting rights?\nOptions:\n(A) 8300\n(B) 14500\n(C) 7700\n(D) 13000\n(E) 5900

[Assistant] Total number of people having voting rights = 100000; out of those 70% voters votes candidate A = 70000; out of them 55% voters votes candidate A = 38500; out of them 20% voters are senior citizens = 7700 So the final answer is (C).


[User] How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\nOptions:\n(A) 8\n(B) 0\n(C) 6\n(D) 10\n(E) 12 Think first, then make a decision. Some random thoughts:

[Assistant] A number ending with 2 can never be a perfect square. So the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 9\n(E) 5

[Assistant]
Speed in still water = 1 (11 + 5)/2 kmph = 8 kmph.
The answer: (C).


[User] P and Q invested in a shop. The profits were divided in the ratio of 5: 2 respectively. If P invested Rs. 5600, the amount invested by Q is:\nOptions:\n(A) 3500\n(B) 5600\n(C) 2200\n(D) 2400\n(E) None OK. Let's think. Some random thoughts first:

[Assistant] Suppose Q invested Rs. y. Then, 5600/y = 5/2 or y = [5600 x 2 / 5] = 2240 The answer: (E).


[User] Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?\nOptions:\n(A) 26\n(B) 36\n(C) 64\n(D) 67\n(E) 63 Now, let's think a bit. Some random thoughts:

[Assistant]
6C1 + 6C2+ 6C3+6C4+6C5+6C6 = 63.
The final answer: (E).


[User]
Some question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\nOptions:\n(A) 300\n(B) 992\n(C) 772\n(D) 552\n(E) 312
Some stream of consciousness:

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


[User] Question: There are 13person 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) 7!*2!\n(C) 6!*1!\n(D) 10!*2!\n(E) 5!*1! Random thoughts:

[Assistant] Total number of ways = 10!*2!. The final answer: (D).


[User] The price of a T.V. set worth Rs. 20000 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) 19002\n(B) 19028\n(C) 27788\n(D) 19000\n(E) 27711 Now, let's think a bit. Some random thoughts:

[Assistant]
Money paid in cash = Rs. 1000\nBalance payment = (20000 - 1000) = Rs. 19000
The final answer: (D).


[User] Q: N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there?\nOptions:\n(A) 600\n(B) 400\n(C) 450\n(D) Cannot be determined\n(E) None of these Let's give some random thoughts before answering.

[Assistant]
Required persons = 325000−300000/50 = 500
Therefore, the answer is (E).


[User] Give stream of consciousness and then the final answer. A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 2\n(B) 7\n(C) 9\n(D) 10\n(E) 15

[Assistant]
222 + 43 = 265/17 = 10 (Remainder)
The final answer: (D).


[User] If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream\nOptions:\n(A) 1kmph\n(B) 2 kmph\n(C) 1.5 kmph\n(D) 12 kmph\n(E) 15 kmph Hmmm, my stream of consciousness:

[Assistant] Speed upstream = 16/4 = 4 kmph\nSpeed down stream = 24/4 = 6 kmph\nSpeed of stream = ½ (6-4) = 1 kmph So, the answer is (A).


[User] Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.\nOptions:\n(A) 9974\n(B) 9125\n(C) 9565\n(D) 9997\n(E) None of these Let's think first. Some random reasoning:

[Assistant] Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition. The final answer: (E).


[User] There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?\nOptions:\n(A) 10\n(B) 20\n(C) 45\n(D) 60\n(E) 120 Stream of consciousness first, then make a decision:

[Assistant]
Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45
Thus, the answer is (C).


[User] Give stream of consciousness and then the final answer. Find the simple interest on Rs.300 for 9 months at 6 paisa per month?\nOptions:\n(A) 142\n(B) 152\n(C) 162\n(D) 172\n(E) 182

[Assistant]
I = (300*9*6)/100 = 162
The final answer: (C).


[User] 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. 1200, then his salary per month in rupees is:\nOptions:\n(A) 4000\n(B) 6000\n(C) 8000\n(D) 10000\n(E) None of these Now, let's think a bit. Some random thoughts:

[Assistant]
Total expenditure = 40 + 25 + 15 + 5 = 85%\nSaving = (100 - 85) = 15%\n15/100 × Salary = 1200, Salary = 8000 Rs.
The final answer: (C).


[User] 30 pens and 75 pencils were purchased for 750. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 20\n(B) 11\n(C) 12\n(D) 13\n(E) 14 Stream of consciousness:

[Assistant]
Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (750 – 150) = 600\n∴ Average price of a pen = 600⁄60 = 20
Thus, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. Rs.900 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) Rs.1056\n(B) Rs.1001\n(C) Rs.2056\n(D) Rs.1026\n(E) Rs.1856

[Assistant]
(900*3*3)/100 = 81\n920 + 81 = 1001
The answer: (B).


[User] Find the odd man out\n25, 49, 81, 121, 144, 169\nOptions:\n(A) 49\n(B) 121\n(C) 144\n(D) 169\n(E) 25 Hmmm, my stream of consciousness:

[Assistant] 144 is square of 12 which is even number where as all others are squares of odd numbers. So, the answer is (C).


[User] The average age of a family of 6 members is 34 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 15\n(B) 18\n(C) 21\n(D) 12\n(E) 27 Stream of consciousness first, then make a decision:

[Assistant]
Present age of total members = 6 X 34 = 204\n7 yrs back their ages were = 6 x 7 = 42\nAges at the birth of youngest member = 204 - 42 = 162\nTherefore, avg age at the birth of youngest member = 162/6 = 27.
Thus, the answer is (E).


[User] A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?\nOptions:\n(A) 8%\n(B) 15%\n(C) 45%\n(D) 52%\n(E) 56% Hmmm, my stream of consciousness:

[Assistant] First $20 million: royalties/sales ratio = 3/20 = 36/240\nNext $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240 So, the answer is (C).


[User] What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 22777\n(B) 28877\n(C) 26888\n(D) 28800\n(E) 67881 Stream of consciousness first, then make a decision:

[Assistant]
Simple interest = (18000 * 4 * 15)/100 = Rs. 10800\nAmount = P + I = 18000 + 10800 = Rs. 28800
Thus, the answer is (D).


[User] Q: Look at this series: 0.05, 0.2, ____, 3.2, 12.8, ... What number should fill the blank?\nOptions:\n(A) 0.5\n(B) 0.6\n(C) 0.9\n(D) 0.7\n(E) 0.8 Let's give some random thoughts before answering.

[Assistant]
This is a simple multiplication series. Each number is 4 times greater than the previous number.
Therefore, the answer is (E).


[User] Q: Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 15 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/17 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 17 1/8 min\n(E) 17 5/7 min Let's give some random thoughts before answering.

[Assistant]
1/8 + 1/12 - 1/15 = 17/120\n120/17 = 7 1/17
Therefore, the answer is (A).


[User] Use some thinking to answer the following question. A can do a piece of work in 9 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 18\n(B) 77\n(C) 66\n(D) 54\n(E) 12

[Assistant] 8/9 + 6/x = 1\nX = 54 days So the final answer is (D).


[User] Use some thinking to answer the following question. In what time will a railway train 40 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

[Assistant] T = 40/36 * 18/5 = 4 sec So the final answer is (B).


[User] The average of first 10 even numbers is?\nOptions:\n(A) 226\n(B) 27\n(C) 27\n(D) 11\n(E) 99 Stream of consciousness:

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


[User]
Student: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 50 kmph\n(B) 60 kmph\n(C) 70 kmph\n(D) 80 kmph\n(E) 85 kmph.
Another student: Let's say, hmmm...

[Assistant] S = (80 + 60)/2 = 70 kmph Final answer: (C).


[User] A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\nOptions:\n(A)  2,060\n(B)  1,320\n(C)  545\n(D)  364\n(E)  220 OK. Let's think. Some random thoughts first:

[Assistant] 14*13*12/3*2*1 = 364 The answer: (D).


[User]
Some question: Which of the following numbers is divisible by 5?\nOptions:\n(A) 3221\n(B) 6175\n(C) 6231\n(D) 5813\n(E) 4251
Some stream of consciousness:

[Assistant] 6175. This is the only option with last two digits divisible by 5 The answer: (B).


[User] The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 6\n(E) 9 Hmmm, my stream of consciousness:

[Assistant] Integer is divisible by 3 - Sum of digits is divisible by 3 So, the answer is (A).