[User] Q: A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.\nOptions:\n(A) $1,000\n(B) $1,200\n(C) $1,400\n(D) $1,800\n(E) $2,200 Let's give some random thoughts before answering.

[Assistant]
Upfront payment for insurance plan = 800$\nFamily needs to pay 30 % of first 1000 $ in expense = 300$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 300 = 1100 $\nTotal amount paid by insurance plan for first 1000 $ = 800 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1400 $\n(Since insurance plan will pay 100% of amount that exceeds 1100$ )
Therefore, the answer is (C).


[User] 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 18 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 30 min.\n(B) 41 min.\n(C) 17 min.\n(D) 23 min.\n(E) 25 min. Now, let's think a bit. Some random thoughts:

[Assistant]
The ratio is 2:3 = gym:ride, so (18)(3/2) = 27 minutes at the gym, and 27 + 18 = 45 minutes exercise, so (2/3)(45) = 30 minutes yog
The final answer: (A).


[User] A motorcyclist goes from Bombay to Pune, a distance of 160 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 2:5\n(C) 1:4\n(D) 1:1\n(E) 1:6 Hmmm, my stream of consciousness:

[Assistant] T = 160/32 = 5 h\nT = 5 - 3 = 2\nTime Ratio = 5:2 = 5:2\nSpeed Ratio = 2:5 So, the answer is (B).


[User] Use some thinking to answer the following question. Select Odd number:\n6, 9, 15, 21, 24, 28, 30\nOptions:\n(A) 20\n(B) 21\n(C) 24\n(D) 28\n(E) 30

[Assistant] Each of the numbers except 28, is a multiple of 3. So the final answer is (D).


[User] Q: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?\nOptions:\n(A) 15\n(B) 66\n(C) 88\n(D) 1\n(E) 12 Let's give some random thoughts before answering.

[Assistant]
90 * 10/60 = 15 kmph
Therefore, the answer is (A).


[User] If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 85, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  31\n(D)  23\n(E)  25 3/10 Think first, then make a decision. Some random thoughts:

[Assistant] K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\n(11K -1)/4 = 85\n11K = 85 * 4 +1 = 340 +1 = 341\nK = 253 / 11 = 31. So the answer is (C).


[User] Q: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 30\n(B) 35\n(C) 40\n(D) 47\n(E) 50 Let's give some random thoughts before answering.

[Assistant]
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
Therefore, the answer is (C).


[User]
Student: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 24\n(E) 23.
Another student: Let's say, hmmm...

[Assistant] To construct 2 lines, three points can be selected out of 4 in 4 x 3 x 2 = 24 ways. Now, if third line goes from the third-point to the first point, a triangle is formed, and if it goes to the fourth point, a triangle is not formed. So, there are 24 ways to form a triangle and 24 ways of avoiding triangle. Final answer: (D).


[User] Give a quick stream of consciousness before answering the following question. In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?\nOptions:\n(A) 17/25\n(B) 18/49\n(C) 23/30\n(D) 23/36\n(E) 29/36

[Assistant]
Girls = 3/5, boys are 2/5\nAbsentees are (2/9)*(3/5) + (1/4)*(2/5) = 7/30\nPresent Students are 23/30
The answer: (C).


[User] A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?\nOptions:\n(A) 150\n(B) 78\n(C) 268\n(D) 268\n(E) 298 Stream of consciousness:

[Assistant]
Length of the train be ‘X’\nX + 150/15 = X + 250/20\n4X + 600 = 3X + 750\nX = 150m ]
Thus, the answer is (A).


[User] The area of a triangle is with base 10m and height 5m?\nOptions:\n(A) 11\n(B) 25\n(C) 787\n(D) 122\n(E) 12 Think first, then make a decision. Some random thoughts:

[Assistant] 1/2 * 10 * 5 = 25 m2 So the answer is (B).


[User] Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 56 ounces of this substance?\nOptions:\n(A) 27\n(B) 36\n(C) 42\n(D) 24\n(E) 147 Random thoughts:

[Assistant] 112 ounces of a substance has a volume of 48 cubic inches\n56 ounces of a substance has a volume of (48/112)*56 = 24 cubic inches The final answer: (D).


[User] If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  22\n(D)  23\n(E)  25 3/10 Stream of consciousness first, then make a decision:

[Assistant]
K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\n(11K -1)/4 = 30\n11K = 30 * 4 +1 = 120 +1 = 121\nK = 121 / 11 = 11.
Thus, the answer is (A).


[User] In how many different ways can the letters of the word "BICYCLE" be rearrangement?\nOptions:\n(A) 5040\n(B) 5045\n(C) 5140\n(D) 5010\n(E) 5020 Stream of consciousness:

[Assistant]
Option 'A'\nThe total number of arrangements is\n7P7 = 7! = 5040
Thus, the answer is (A).


[User] An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 180\n(E) 720 Think first, then make a decision. Some random thoughts:

[Assistant] 5C1 * 4C1 * 3C1 = 5*4*3 = 60. So the answer is (C).


[User] An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 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) 72\n(D) 180\n(E) 720 Stream of consciousness first, then make a decision:

[Assistant]
4C3 * 4C2 * 3C2 = 4*6*3 = 72.
Thus, the answer is (C).


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

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


[User] Question: A man sells two articles for Rs.3600 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss?\nOptions:\n(A) 16% loss\n(B) 400\n(C) 4000\n(D) 324\n(E) 8% LOSS Random thoughts:

[Assistant] (40*40)/100 = 16%loss The final answer: (A).


[User] Q: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 5\n(C) More than 5\n(D) Less than 1/5\n(E) none of these Let's give some random thoughts before answering.

[Assistant]
Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5
Therefore, the answer is (A).


[User] Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 13\n(E) 15 Stream of consciousness:

[Assistant]
The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.
Thus, the answer is (E).


[User]
Student: Find the average of the first 21 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 10\n(D) 11\n(E) 12.
Another student: Let's say, hmmm...

[Assistant] Average of the first 'n' natural numbers = (n + 1)/2\nWe get (21+ 1)/2 = 11 Final answer: (D).


[User] Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.\nOptions:\n(A) 2x2 – 3xy + y2\n(B) (2x + y) (x – y) \n(C) (x – y) 2 + x(x – y) \n(D) (2x – y) 2 – x(2x – y) \n(E) (2x – y) 2 – 2x2 + xy Stream of consciousness:

[Assistant]
Other parts are equal to\n2x2 + y2 – 3xy.
Thus, the answer is (B).


[User] Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\nOptions:\n(A) 9261\n(B) 1261\n(C) 9621\n(D) 9162\n(E) 5000 Stream of consciousness:

[Assistant]
A = 8000(21/20)3 = 9261
Thus, the answer is (A).


[User] Simple interest on a certain sum is 16 over 25 of the sum. Find the rate per cent and time, if both are equal.\nOptions:\n(A) 8% and 8 years\n(B) 6% and 6 years\n(C) 10% and 10 years\n(D) 12 % and 12 years\n(E) None of these Stream of consciousness first, then make a decision:

[Assistant]
16⁄25P = P×R×R/100\n⇒ R2 = 1600⁄25 ⇒ R = 40⁄5 = 8%\nAlso, time = 8 years
Thus, the answer is (A).


[User] if deepak has 5 pants and 3 shirts how many combinations can deepak make?\nOptions:\n(A) 10\n(B) 9\n(C) 15\n(D) 20\n(E) 25 Now, let's think a bit. Some random thoughts:

[Assistant]
If deepak can only choose one of each, there are 5*3 = 15 possible combinations.
The final answer: (C).


[User] Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:8\n(C) 1:1\n(D) 1:6\n(E) 1:3 Let's think first. Some random reasoning:

[Assistant] T = 192/32 = 6 h\nT = 6 - 3 = 3\nTime Ratio = 6:3 = 2:1\nSpeed Ratio = 1:2 The final answer: (A).


[User] Give a quick stream of consciousness before answering the following question. Calculate the circumference of a circular field whose radius is 10 centimeters.\nOptions:\n(A) 20 π cm\n(B) 19 π cm\n(C) 28 π cm\n(D) 25 π cm\n(E) 30 π cm

[Assistant]
Circumference C is given by\nC = 2πr = 2π*10 = 20 π cm
The answer: (A).


[User] The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 35, 25 kmph\n(B) 80, 40 kmph\n(C) 40, 60 kmph\n(D) 50, 55 kmph\n(E) 50, 65 kmph Hmmm, my stream of consciousness:

[Assistant] Speed downstream = 60 + 20 = 80 kmph\nSpeed upstream = 60 - 20 = 40 kmph So, the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. The average mark obtained by 22 candidates in an examination is 47. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\nOptions:\n(A) 22\n(B) 44\n(C) 49\n(D) 68\n(E) 76

[Assistant]
It is clear that 22 x 47 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 44
The answer: (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 6, 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) 27\n(B) 22\n(C) 24\n(D) 26\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: (A).


[User]
Some question: If 10 crates have 96 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 40\n(D) 20\n(E) 0
Some stream of consciousness:

[Assistant] Each crate requires 4 apples and totally there are 10 crates so required apples = 10 * 4 = 40 The answer: (C).


[User] In his room, Dumbo has three trousers. One of them is black, the second is blue, and the third is brown. In his room, he also has four shirts. One of them is black and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?\nOptions:\n(A) 1/12\n(B) 1/6\n(C) 1/2\n(D) 1/4\n(E) 1/3 Think first, then make a decision. Some random thoughts:

[Assistant] Probability that trouser is not black = 2/3\nProbability that shirt is not black = 3/4\nRequired probability = 2/3 x 3/4 = 1/2 So the answer is (C).


[User] Give stream of consciousness and then the final answer. Find the average of the first 23 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 10\n(D) 11\n(E) 12

[Assistant]
Average of the first 'n' natural numbers = (n + 1)/2\nWe get (23 + 1)/2 = 12
The final answer: (E).


[User] Give a quick stream of consciousness before answering the following question. a contract was signed to complete a job in 30 days. after how many days can 5 men leave then so that the job can be completed in 35 days\nOptions:\n(A) 30 days.\n(B) 35 days.\n(C) 45 days.\n(D) 55 days.\n(E) 65 days.

[Assistant]
If no of men used initially is x, then after (35-x) days 5 men can leave so that the job can be completed in 35 days.
The answer: (B).


[User] Jerry covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?\nOptions:\n(A) 29 Kmph\n(B) 15 Kmph\n(C) 23 Kmph\n(D) 22 Kmph\n(E) 19 Kmph Now, let's think a bit. Some random thoughts:

[Assistant]
Total distance = 8 Km\nTotal time = 50 Km\nTime taken to cover the distance of 3 Km = 50*2/5 = 20 min = 1/3 hours\nRemaining distance = 8 - 3 = 5 Km\nRequired speed = 5/1/3 = 15 Kmph
The final answer: (B).


[User] What is the units digit of the expression 14^7−17^4?\nOptions:\n(A)  0\n(B)  3\n(C)  4\n(D)  8\n(E)  6 Think first, then make a decision. Some random thoughts:

[Assistant] I think answer on this one should be D too. Since we know that 14^7>17^4, as Will said one should always check if the number is positive. So the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 70 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 70 minutes\n(D) 28 minutes\n(E) 11 minutes

[Assistant]
1/20 - 1/70 = 1/28\n28 minutes
The answer: (D).


[User] Q: In Sam's hanger there are 22 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2.\n(C) 3.\n(D) 4.\n(E) 5. Let's give some random thoughts before answering.

[Assistant]
Total boxes = 22\nFilled with toys = 16\nFilled with appliance = 6\nTotal boxes for sale = 8\nToy boxes for sale = 5\nAppliance boxes for sale = 3\nAppliance boxes not for sale = 6 - 3 = 3
Therefore, the answer is (C).


[User] Find the odd man out\n4, 9,16, 36, 64, 144\nOptions:\n(A) 144\n(B) 16\n(C) 9\n(D) 36\n(E) 4 Think first, then make a decision. Some random thoughts:

[Assistant] 9 is square of 3 which is odd number where as all others are squares of even numbers. So the answer is (C).


[User]
Student: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 140kg then find the average weight of all the 7 rounds?\nOptions:\n(A) 98.5 kgs\n(B) 80 kgs\n(C) 76.5 kgs\n(D) 67.5 kgs\n(E) 58.2 kgs.
Another student: Let's say, hmmm...

[Assistant] Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 140/7 = 80 kgs Final answer: (B).


[User] In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Stream of consciousness:

[Assistant]
Total boxes = 23\nFilled with toys = 16\nFilled with appliance = 7\nTotal boxes for sale = 8\nToy boxes for sale = 5\nAppliance boxes for sale = 3\nAppliance boxes not for sale = 7 - 3 = 4
Thus, the answer is (D).


[User] Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?\n.\nOptions:\n(A) 25\n(B) 27.5\n(C) 28\n(D) 30\n(E) 32 Now, let's think a bit. Some random thoughts:

[Assistant]
3 hours at a speed of 20 miles per hour gives us Distance = 20*3 = 60 miles\n6 hours at a speed of 30 miles per hour gives us Distance = 30*6 = 180 miles\n1 more hour at 40 miles per hour gives us Distance = 40*1 = 40 miles\nTotal Distance = 60+180+40 = 280 miles\nTotal Time = 3+6+1 = 10 Hours\nAverage Speed = 280 / 10 = 28 Miles per hour
The final answer: (C).


[User] A train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 545\n(C) 39\n(D) 40\n(E) 09 Stream of consciousness first, then make a decision:

[Assistant]
S = (120 + 480)/45 = 600/55 * 18/5 = 39
Thus, the answer is (C).


[User] Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/280\n(C) 3/280\n(D) 3/35\n(E) 68/280 Stream of consciousness first, then make a decision:

[Assistant]
P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 2/5*3/8*5/7 + 2/5*5/8*2/7 + 3/5*3/8*2/7 = 68/280.
Thus, the answer is (E).


[User] The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 80,70 kmph\n(B) 87,40 kmph\n(C) 80,40 kmph\n(D) 70,40 kmph\n(E) 80,44 kmph Think first, then make a decision. Some random thoughts:

[Assistant] Speed downstream = 60 + 20 = 80 kmph\nSpeed upstream = 60 - 20 = 40 kmph So the answer is (C).


[User] Use some thinking to answer the following question. In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/5\n(D) 4/7\n(E) 4/9

[Assistant] Probability that trouser is not grey = 2/3\nProbability that shirt is not grey = 3/4\n∴ Required probability = 2/3 x 3/4 = 1/2 So the final answer is (A).


[User] Give stream of consciousness and then the final answer. Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 5 sec\n(B) 6 sec\n(C) 7 sec\n(D) 8 sec\n(E) 9 sec

[Assistant]
70 + 60 = 130 * 5/18 = 325/9 mps\nD = 150 + 100 = 250 m\nT = 250 * 9/325 = 7 se
The final answer: (C).


[User] At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/3%\n(B) 3 5/3%\n(C) 3 1/9%\n(D) 3 1/5%\n(E) 3 1/7% OK. Let's think. Some random thoughts first:

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


[User] Give a quick stream of consciousness before answering the following question. Find the least number must be subtracted from 531742 so that remaining no.is divisible by 3?\nOptions:\n(A) 4\n(B) 5\n(C) 1\n(D) 2\n(E) 3

[Assistant]
On dividing 531742 by 3 we get the remainder 1, so 1 should be subtracted
The answer: (C).


[User] A 70 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) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50 Think first, then make a decision. Some random thoughts:

[Assistant] 1: 2/5 = 5: 2\n2/7 * 70 = 20 So the answer is (B).


[User] Give stream of consciousness and then the final answer. A football field is 7200 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?\nOptions:\n(A) 450\n(B) 600\n(C) 750\n(D) 2400\n(E) 3200

[Assistant]
Answer A) 9600 yards need 1200 lbs\n1 Yard will need 1200/7200 = 1/6 lbs\n3600 Yards will need 1/6* 3600 Yards = 600lbs
The final answer: (B).


[User]
Student: Find the odd man out\n1, 3, 7, 11, 15, 18, 21\nOptions:\n(A) 3\n(B) 7\n(C) 18\n(D) 21\n(E) 1.
Another student: Let's say, hmmm...

[Assistant] The 18 is the only even number in the series. Final answer: (C).


[User] A owes B Rs.50. He agrees to pay B over a number of consecutive days on a Monday, paying single note or Rs.10 or Rs.20 on each day. In how many different ways can A repay B.\nOptions:\n(A) 2\n(B) 8\n(C) 9\n(D) 6\n(E) 5 OK. Let's think. Some random thoughts first:

[Assistant] He can pay by all 10 rupee notes = 1 way\n3 Ten rupee + 1 twenty rupee = 4!3!×1!4!3!×1! = 4 ways\n1 Ten rupee + 2 twenty rupee notes = 3!2!×1!3!2!×1! = 3 ways\nTotal ways = 1 + 4 + 3 = 8 The answer: (B).


[User] Question: There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\nOptions:\n(A) 39\n(B) 40\n(C) 51\n(D) 58\n(E) 63 Random thoughts:

[Assistant] {Total} = {M} + {N} - {Both}\n{Total} = 42 + 28 - 12 = 58. The final answer: (D).


[User]
Student: A train 250 m long, running with a speed of 50 km/hr will pass a tree in?\nOptions:\n(A) 18sec\n(B) 20sec\n(C) 25sec\n(D) 30sec\n(E) 1min.
Another student: Let's say, hmmm...

[Assistant] Speed = 50 * 5/18 = 125/9 m/sec\nTime taken = 250 *9/125 = 18 sec Final answer: (A).


[User] Use some thinking to answer the following question. Which one of the following is not a prime number?\nOptions:\n(A) 31\n(B) 61\n(C) 71\n(D) 91\n(E) 101

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


[User]
Student: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\nOptions:\n(A) 22\n(B) 66\n(C) 28\n(D) 41\n(E) 61.
Another student: Let's say, hmmm...

[Assistant] (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48\nRemaining work = (1 - 7/48) = 41/48\nWork done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48\nNumber of boys required = 41/48 * 41 = 41. Final answer: (D).


[User]
Some question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6\n(B) 2\n(C) 3\n(D) 4\n(E) 98
Some stream of consciousness:

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


[User] Find a a prime number from the options below.\nOptions:\n(A) 58\n(B) 59\n(C) 60\n(D) 62\n(E) 64 Stream of consciousness:

[Assistant]
Clearly, 59 is a prime number.
Thus, the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. How many ways can six girls be selected from a group of ten girls?\nOptions:\n(A) ⁶C₄\n(B) ¹⁰C₄\n(C) 4C₄\n(D) ¹⁰P₄\n(E) ¹⁰P₅

[Assistant]
Six members can be selected from ten members in\n¹⁰C₆ = ¹⁰C₄ ways
The answer: (B).


[User] What approximate value should come in place of question mark (?) in the following equation\n287.532 + 1894.029 – 857.48 = 743.095 + ?\nOptions:\n(A) 870\n(B) 790\n(C) 580\n(D) 770\n(E) 890 Now, let's think a bit. Some random thoughts:

[Assistant]
? = 285 + 1895 – 855 – 745 or, ? = 580
The final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. A train 260 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) 32 sec\n(D) 49 sec\n(E) 60 sec

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 260 + 140 = 400 m\nRequired time = 400 * 2/25 = 32 se
The answer: (C).


[User]
Student: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 10000\n(B) 28869\n(C) 10002\n(D) 18089\n(E) 10004.
Another student: Let's say, hmmm...

[Assistant] 100 * 100 = 10000\n125 * 80 = 10000 Final answer: (A).


[User] A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?\nOptions:\n(A) 1\n(B) 6\n(C) 7\n(D) 5\n(E) 43 Let's think first. Stream of consciousness:

[Assistant]
A's 1 day work = 1/10; B's 1 day work = 1/15\n(A + B)'s 1 day work = (1/10 + 1/15) = 1/6\nSo, both together will finish the work in 6 days.
So, the answer is (B).


[User] In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?\nOptions:\n(A) 48\n(B) 24\n(C) 120\n(D) 60\n(E) None of these Let's think first. Stream of consciousness:

[Assistant]
Reqd. number = 4! × 2! = 24 × 2 = 48
So, the answer is (A).


[User] If the two hands in a clock are 3 minutes divisions apart,then the angle between them is\nOptions:\n(A) 3°\n(B) 18°\n(C) 24°\n(D) 60°\n(E) None of these Now, let's think a bit. Some random thoughts:

[Assistant]
In a clock, each minute makes 6°\n∴ 3 minutes will make 6 × 3 = 18°
The final answer: (B).


[User] Give a quick stream of consciousness before answering the following question. Calculate the circumference of a circular field whose radius is 7 centimeters.\nOptions:\n(A) 11 π cm\n(B) 15 π cm\n(C) 1 π cm\n(D) 4 π cm\n(E) 14 π cm

[Assistant]
Circumference C is given by\nC = 2πr = 2π*7 = 14 π cm
The answer: (E).


[User] Question: If the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 150 Let's think first. Some random reasoning:

[Assistant] Percentage of profit = 30/20 * 100 = 150% The final answer: (E).


[User] A certain league has three divisions. The respective divisions had 10, 12 and 15 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?\nOptions:\n(A)  70\n(B)  72\n(C)  73\n(D)  78\n(E)  80 Now, let's think a bit. Some random thoughts:

[Assistant]
Overall, there can be 73 minuses. Tus, it is
The final answer: (C).


[User] Q: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\nOptions:\n(A) 50\n(B) 75\n(C) 100\n(D) 120\n(E) 25 Let's give some random thoughts before answering.

[Assistant]
Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 3 = 50 m
Therefore, the answer is (A).


[User] An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 5 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) 300 Hmmm, my stream of consciousness:

[Assistant] 5C3 * 5C2 * 3C2 = 10*10*3 = 300. So, the answer is (E).


[User] Give stream of consciousness and then the final answer. In how many different ways can the letters of the word "CLAIM" be rearrangement?\nOptions:\n(A) 100\n(B) 120\n(C) 130\n(D) 143\n(E) 145

[Assistant]
The total number of arrangements is\n5P5 = 5! = 120
The final answer: (B).


[User] A wheel rotates 20 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 6 metre\n(B) 120 metre\n(C) 220 metre\n(D) 1200 metre\n(E) 420 metre Stream of consciousness first, then make a decision:

[Assistant]
Number of times wheel moves in 1 hour = 20 * 60 = 1200\n:. Distance moves = (1200*35) cms = 42000 cms\nIn metres = 420 metr
Thus, the answer is (E).


[User]
Student: What number comes next in the following series? 4, 13, 40, 121, 364, x\nOptions:\n(A) 1093\n(B) 1100\n(C) 1301\n(D) 1400\n(E) 1713.
Another student: Let's say, hmmm...

[Assistant] 4\n4 × 3 + 1 = 13\n13 × 3 + 1 = 40\n40 × 3 + 1 = 121\n121 × 3 + 1 = 364\n364 × 3 + 1 = 1093 Final answer: (A).


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

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


[User]
Some question: By how much is 70% of 120 greater than 35% of 200.\nOptions:\n(A) 15\n(B) 14\n(C) 13\n(D) 16\n(E) 17
Some stream of consciousness:

[Assistant] (70/100) * 120 â€“ (35/100) * 200\n84 - 70 = 14 The answer: (B).


[User]
Student: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?\nOptions:\n(A) 120 m\n(B) 200 m\n(C) 324 m\n(D) Cannot be determined\n(E) None of these.
Another student: Let's say, hmmm...

[Assistant] Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 12 = 200 m Final answer: (B).


[User] Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?\nOptions:\n(A) 6.3\n(B) 5.3\n(C) 6.2\n(D) 6.1\n(E) 4.3 Think first, then make a decision. Some random thoughts:

[Assistant] This is a simple multiplication series. Each number is 3 times greater than the previous number. So the answer is (A).


[User] From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?\nOptions:\n(A) 624\n(B) 702\n(C) 756\n(D) 812\n(E) 832 Stream of consciousness first, then make a decision:

[Assistant]
Total men are 7\nTotal women are 6 so we select 5 peoples in both and at least 3 are men\n7c3*6c2+7c4*6c1+7c5*6c0 then we get the 756
Thus, the answer is (C).


[User] Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.\nOptions:\n(A) a2 + 5ab + 6b2\n(B) (a + 3b) (a + 2b) \n(C) a(a + 3b)  + 2b(a + 3b) \n(D) (3a + b) (a + 2b) \n(E) a(a + 2b)  + 3b(a + 2b)  OK. Let's think. Some random thoughts first:

[Assistant] The other parts are equal to a2 + 5ab + 6b2. The answer: (D).


[User] A certain league has two divisions. The respective divisions had 7 and 9 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?\nOptions:\n(A)  30\n(B)  31\n(C)  34\n(D)  36\n(E)  38 Stream of consciousness first, then make a decision:

[Assistant]
Overall, there can be 31 minuses. Tus, it is
Thus, the answer is (B).


[User] What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation?\nOptions:\n(A) 2599980\n(B) 235500\n(C) 923580\n(D) 765432\n(E) 765434 OK. Let's think. Some random thoughts first:

[Assistant] 10(11111)*4! - 10(1111)3! = 2599980 The answer: (A).


[User] Use some thinking to answer the following question. Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% 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) 15%\n(E) 10%

[Assistant] {Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 50 - {both} + 40\n{both} = 15%. So the final answer is (D).


[User] Two pipes can fill a tank in 30 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?\nOptions:\n(A) 5 Hours\n(B) 7 Hours\n(C) 8 Hours\n(D) 9 Hours\n(E) 15 Hours Stream of consciousness first, then make a decision:

[Assistant]
In 1 hour it fill 1/30 + 1/12 - 1/20 = 1/15\nSo fill tank fill up in 15 Hours
Thus, the answer is (E).


[User] Steve traveled the first 2 hours of his journey at 40 mph and the last 2 hours of his journey at 80 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) 60 mph\n(D) 64 mph\n(E) 66.67 mph Stream of consciousness:

[Assistant]
Average Speed = Total distance/ Total time = (40 * 2 + 80 * 2)/(2 + 2) = 240/4 = 60
Thus, the answer is (C).


[User] Question: In what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way?\nOptions:\n(A) 3 sec\n(B) 4 sec\n(C) 5 sec\n(D) 6 sec\n(E) 7 sec Let's think first. Some random reasoning:

[Assistant] T = 120/70 * 18/5 = 6 sec The final answer: (D).


[User]
Some question: In Badminton game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?\nOptions:\n(A) 1/3\n(B) 4/9\n(C) 5/9\n(D) 2/3\n(E) 3/4
Some stream of consciousness:

[Assistant] In Badminton game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:\nP(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9. The answer: (C).


[User] The edge of a cube is 5a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 150a2\n(C) 24a1\n(D) 24a2\n(E) 24a7 Stream of consciousness first, then make a decision:

[Assistant]
6a2 = 6 * 5a * 5a = 150a2
Thus, the answer is (B).


[User] Use some thinking to answer the following question. The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 720, then the other is:\nOptions:\n(A) 8\n(B) 10\n(C) 12\n(D) 4\n(E) 6

[Assistant] Other number = (12 x 600)/720 = 10. So the final answer is (C).


[User] 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 5 strokes ?\nOptions:\n(A) 31/32\n(B) 7/8\n(C) 1/4\n(D) 1/8\n(E) 1/16 Hmmm, my stream of consciousness:

[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\nSo removed = 1- 1/32 = 31/32 So, the answer is (A).


[User] John left home and drove at the rate of 55 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 255 miles.\n(D) 265 miles.\n(E) 275 miles. Now, let's think a bit. Some random thoughts:

[Assistant]
The total distance D traveled by John is given by\nD = 55 * 2 + 3 * 55 = 275 miles.
The final answer: (E).


[User] Use some thinking to answer the following question. A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% 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) 12000\n(B) 6000\n(C) 8000\n(D) 10000\n(E) None of these

[Assistant] Total expenditure = 40 + 25 + 15 + 10 = 90%\nSaving = (100 - 90) = 10%\n10/100 × Salary = 1200, Salary = 12000 Rs. So the final answer is (A).


[User] Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?\nOptions:\n(A) 20\n(B) 22\n(C) 24\n(D) 1\n(E) 30 Let's think first. Some random reasoning:

[Assistant] Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1. The final answer: (D).


[User] Use some thinking to answer the following question. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?\nOptions:\n(A) 665\n(B) 625\n(C) 630\n(D) 645\n(E) 628

[Assistant] 8 * 84 = 672 â€“ 7 = 665 So the final answer is (A).


[User] A man purchased 3 blankets @ Rs.200 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\nOptions:\n(A) 100\n(B) 200\n(C) 300\n(D) 400\n(E) 500 Hmmm, my stream of consciousness:

[Assistant] 10 * 150 = 1500\n3 * 200 + 5 * 150 = 1350\n1350 – 1050 = 300 So, the answer is (C).


[User]
Some question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 140\n(B) 146\n(C) 152\n(D) 162\n(E) 170
Some stream of consciousness:

[Assistant] Number of newborns that can die in first month = 1/10 * 200 = 20\nSurvived = 180\nNumber of newborns that can die in second month = 1/10 * 180 = 18\nSurvived = 162\nNumber of newborns that can die in third month = 1/10 * 162 = 16\nSurvived = 146 The answer: (B).


[User] A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?\nOptions:\n(A) 4\n(B) 9\n(C) 2\n(D) 11\n(E) None Now, let's think a bit. Some random thoughts:

[Assistant]
1/7 + 1/14 + 1/28 = 7/28 = 1/4\nAll three can finish the work in 4 days
The final answer: (A).


[User]
Some question: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:\nOptions:\n(A) Rs. 60, Rs. 90, Rs. 389\n(B) Rs. 60, Rs. 90, Rs. 360\n(C) Rs. 60, Rs. 90, Rs. 368\n(D) Rs. 60, Rs. 90, Rs. 329\n(E) Rs. 60, Rs. 30, Rs. 329
Some stream of consciousness:

[Assistant] (A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4\nA:B = 2:3 and B:C = 1:4 = 3:12\nA:B:C = 2:3:12\nA;s share = 510 * 2/17 = Rs. 60\nB's share = 510 * 3/17 = Rs. 90\nC's share = 510 * 12/17 = Rs. 360. The answer: (B).


[User] What is the greatest positive integer x such that 2^x is a factor of 8^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30 Let's think first. Stream of consciousness:

[Assistant]
8^10 = (2^3)^10 = 2^30
So, the answer is (E).


[User] 30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14 OK. Let's think. Some random thoughts first:

[Assistant] Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (510 – 150) = 360\n∴ Average price of a pen = 360⁄60 = 12 The answer: (C).


[User] What is the sum of all the prime numbers greater than 10 but less than 40?\nOptions:\n(A) 190\n(B) 189\n(C) 180\n(D) 199\n(E) 1981 Stream of consciousness first, then make a decision:

[Assistant]
Required sum = (11 +13 + 17 + 19 + 23+ 29 + 31 + 37) = 180\nNote: 1 is not a prime number
Thus, the answer is (C).


[User] There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.\nHow much water evaporated?\nOptions:\n(A) 20\n(B) 30\n(C) 40\n(D) 50\n(E) 10 Stream of consciousness first, then make a decision:

[Assistant]
In the beginning it is 99 pounds water and 1 pound other stuff. At the end the 1 pound other stuff is 2 percent so the total weight is 50 pounds. 50 pounds - 1 pound other stuff = 49 pounds water. So 99 pounds - 49 pounds = 50 pounds water lost.
Thus, the answer is (D).


[User]
Some question: A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?\nOptions:\n(A) 1 hours\n(B) 2 hours\n(C) 3 hours\n(D) 4 hours\n(E) 5 hours
Some stream of consciousness:

[Assistant] In 30 minutes the man would have droven 20 miles, when his wife starts. Now both are driving in the same direction. So speed of wife related to man is 10(50-40) miles/hr. So wife will cover 20 miles in 2 hours to meet the man. The answer: (B).


[User] How much 70% of 100 is greater than 60% of 80?\nOptions:\n(A) 18\n(B) 99\n(C) 22\n(D) 26\n(E) 71 Think first, then make a decision. Some random thoughts:

[Assistant] (70/100) * 100 – (60/100) * 80\n70- 48 = 22 So the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of:\nOptions:\n(A) 21\n(B) 22\n(C) 20\n(D) 45\n(E) 30

[Assistant]
2nd day he earns = 3(2 – 5)\n3rd day he earns = 3(3 – 5)\nOn 20th day he earns 3(20 -5) = 45 rupees
The answer: (D).


[User] Question: Which of the following is not divisible by 3?\nOptions:\n(A) 10,395\n(B) 41,714\n(C) 15,354\n(D) 30,708\n(E) 29,313 Let's think first. Some random reasoning:

[Assistant] Divisibility rule of 3: The sum of the digits of the number should be divisible by 3\nOption A: 10395, Sum = 18. Divisible by 3\nOption B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3\nOption C: 15354, Sum = 18, Divisible by 3\nOption D: 30708, Sum = 18, Divisible by 3\nOption E: 29313, Sum = 18, Divisible by 3 The final answer: (B).


[User] Find the odd man out\n253, 136, 352, 328, 631, 244\nOptions:\n(A) 328\n(B) 136\n(C) 352\n(D) 631\n(E) 531 Stream of consciousness:

[Assistant]
The sum all three digits comes to 10 except 328
Thus, the answer is (A).


[User] Question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?\nOptions:\n(A) 5/5\n(B) 5/9\n(C) 5/1\n(D) 1/3\n(E) 5/2 Let's think first. Some random reasoning:

[Assistant] Total number of outcomes possible when a die is rolled, n(S) = 6 (∵ 1 or 2 or 3 or 4 or 5 or 6)\nE = Event that the number shown in the dice is divisible by 3 = {3, 6}\nThe probability = 2/6 = 1/3. The final answer: (D).


[User] Find the simple interest on Rs.350 for 10 months at 5 paisa per month?\nOptions:\n(A) 277\n(B) 175\n(C) 288\n(D) 266\n(E) 121 Now, let's think a bit. Some random thoughts:

[Assistant]
I = (350*10*5)/100 = 175
The final answer: (B).


[User] Question: a student got 70% in one subject,80% in other.to get overall 75% how much he should get in third subject.\nOptions:\n(A) 65%\n(B) 75%\n(C) 85%\n(D) 95%\n(E) 88% Let's think first. Some random reasoning:

[Assistant] Already average of two subjects is (70+80)/2 = 75%\nTo maintain the percentage at 75%, he shouls get 75% marks in third subject The final answer: (B).


[User] Q: A certain car uses 12 gallons of gasoline in traveling 180 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 3\n(C) 6\n(D) 8\n(E) 10 Let's give some random thoughts before answering.

[Assistant]
180/10 = 18. The difference is 18 - 15 = 3.
Therefore, the answer is (B).


[User] When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.\nOptions:\n(A) 20 kg\n(B) 25 kg\n(C) 30 kg\n(D) 35 kg\n(E) None of these Let's think first. Stream of consciousness:

[Assistant]
Since, expenditure = price × consumption\n∴ 110% of 30 = 132⁄100 × new consumption\n⇒ 110⁄100 × 30 = 132⁄100 × new consumption\n⇒ New consumption = 25 kg
So, the answer is (B).


[User] In a class, the average age of 45 boys is 10 years and the average of 15 girls is 10 years. what is the average age of the whole class?\nOptions:\n(A) 12 Years\n(B) 12.3 Years\n(C) 10 Years\n(D) 13 Years\n(E) 15 Years Hmmm, my stream of consciousness:

[Assistant] Total age of 60 students\n(45X 10+15 X 10) = 630\nAverage = 600/60 = 10 Years So, the answer is (C).


[User] Give stream of consciousness and then the final answer. Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?\nOptions:\n(A) A) 23\n(B) B) 14\n(C) C) 27\n(D) D) 53\n(E) E) 86

[Assistant]
In this series, each number is repeated, then 10 is subtracted to arrive at the next number.
The final answer: (A).


[User] Question: The average weight of 36 men is 50 kg. It was found later that the figure of 37 kg was misread as 73 kg. What is the correct average?\nOptions:\n(A) 49 kg\n(B) 51 kg\n(C) 50.5 kg\n(D) 51.5 kg\n(E) None of these Random thoughts:

[Assistant] Correct average = [( 50 x 36) - 73 + 37 )]/36 = 1764/36 = 49 kg. The final answer: (A).


[User] In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is\nOptions:\n(A) 3\n(B) 7\n(C) 10\n(D) 12\n(E) 15 Hmmm, my stream of consciousness:

[Assistant] 1-1/4 = remain cake 3/4\n3/4*3 = 9/4\n9/4+1/4 = 10 So, the answer is (C).


[User] Give stream of consciousness and then the final answer. 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 14 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 41 min.\n(C) 17 min.\n(D) 23 min.\n(E) 25 min.

[Assistant]
The ratio is 2:3 = gym:ride, so (14)(3/2) = 21 minutes at the gym, and 21 + 14 = 35 minutes exercise, so (2/3)(35) = 23 minutes yoga.
The final answer: (D).


[User]
Student: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Elaine?\nOptions:\n(A) 1,008\n(B) 1,296\n(C) 1,512\n(D) 2*1008\n(E) 2,268.
Another student: Let's say, hmmm...

[Assistant] Place D and H first: 8 options for D, 7 options for H\nWe are left with 6 empty places. A, B and C must take first 3 places and F, G, Emust take the remaining three. A, B and C can be arranged in their places in 3! ways. The same for F, G, and E\nTotal = 8*7*3!*3! = 2*1008 Final answer: (D).


[User] How many three digit numbers that do not contain the digit 2 are there?\nOptions:\n(A) 100\n(B) 200\n(C) 512\n(D) 648\n(E) 729 Stream of consciousness:

[Assistant]
8*9*9 = 648: 8 options for the first digit (no 0, no 2) and 9 options for each of the remaining digits (no 2 there).
Thus, the answer is (D).


[User] Q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 570 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) 8/3\n(B) 3/8\n(C) 38/15\n(D) 5/8\n(E) 5/3 Let's give some random thoughts before answering.

[Assistant]
Distance traveled by Eddy = 570 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 570/3 = 190 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 190/75 = 38/15
Therefore, the answer is (C).


[User] You have a flashlight that takes 2 working batteries. You have 8 batteries but only 4 of them work.\nWhat is the fewest number of pairs you need to test to guarantee you can get the flashlight on?\nOptions:\n(A) 5\n(B) 8\n(C) 7\n(D) 6\n(E) 4 Stream of consciousness first, then make a decision:

[Assistant]
If you break the batteries into 3 groups: Two groups of 3 and one group of 2. By doing this you guarantee that one of the groups has 2 working batteries. Both of the groups of 3 have 3 possible combinations of 2 batteries and the group of 2 only has 1 combination. So, 3 + 3 + 1 = 7 tries at most to find two working batteries.
Thus, the answer is (C).


[User]
Student: What is the sum of all the composite numbers up to 20?\nOptions:\n(A) 130\n(B) 132\n(C) 124\n(D) 145\n(E) 166.
Another student: Let's say, hmmm...

[Assistant] 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132 Final answer: (B).


[User] Give stream of consciousness and then the final answer. P and Q invested in a shop. The profits were divided in the ratio of 2 : 4 respectively. If P invested Rs. 500000, the amount invested by Q is:\nOptions:\n(A) 5000000\n(B) 4000000\n(C) 1000000\n(D) 6000000\n(E) None

[Assistant]
Suppose Q invested Rs. y. Then, 500000/y = 2/4 or y = [500000 x 4 / 2] = 1000000.
The final answer: (C).


[User] Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 8 businessmen, how many possible team submissions are possible?\nOptions:\n(A) 76\n(B) 100\n(C) 164\n(D) 198\n(E) 202 Random thoughts:

[Assistant] We have 3 scenarios here:\n1) 1 tech2 businessmen: 4C1 x 8C2 = 112\n2) 2 tech1 businessman: 4C2 x 8C1 = 48\n3) 3 tech0 businessmen: 4C3 = 4\nTotal: 112+48+4 = 164 The final answer: (C).


[User] In how many different ways can the letters of the word â€˜DIVIDEDâ€™ be arranged?\nOptions:\n(A) 250\n(B) 280\n(C) 300\n(D) 420\n(E) 360 Hmmm, my stream of consciousness:

[Assistant] Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420 So, the answer is (D).


[User] Give stream of consciousness and then the final answer. A bank lent $250 to a customer for a one-month loan. At the end of the month, the bank received y dollars more than than the amount that was lent due to interest. The bank also charged a service fee $5. In terms of y, what fraction of the amount that the bank received was the service fee?\nOptions:\n(A) 5/(255+y) \n(B) 5y-1\n(C) 5y/(250-y) \n(D) 5/(250-y) \n(E) 5y-250

[Assistant]
The amount of money the bank received was (250 + 5+ y) dollars. The $5 service fee as a fraction of the amount received was, therefore, 5/(255+y).
The final answer: (A).


[User] Give stream of consciousness and then the final answer. The inverse ratio of 3: 2: 1 is?\nOptions:\n(A) 2:9:5\n(B) 2:3:0\n(C) 2:3:5\n(D) 2:3:6\n(E) 2:3:1

[Assistant]
1/3: 1/2: 1/1 = 2:3:6
The final answer: (D).


[User] Use some thinking to answer the following question. 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: 120, 30, 240, 25, ___, 20, 480, 15... Which number is missing?\nOptions:\n(A) 120\n(B) 360\n(C) 340\n(D) 960\n(E) 280

[Assistant] B 360\nThis is an alternating addition and subtraction series. In the first pattern, 120 is added to each number to arrive at the next. In the second, 5 is subtracted from each number to arrive at the next. So the final answer is (B).


[User] Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?\nOptions:\n(A) 288\n(B) 125\n(C) 88\n(D) 76\n(E) 232 Random thoughts:

[Assistant] D = 90 * 5/18 * 5 = 125 m The final answer: (B).


[User] Give stream of consciousness and then the final answer. The average of 15 result is 60. Average of the first 10 of them is 10 and that of the last 10 is 80. Find the 8th result?\nOptions:\n(A) 35\n(B) 200\n(C) 150\n(D) 250\n(E) 300

[Assistant]
Sum of all the 13 results = 15 * 60 = 900\nSum of the first 7 of them = 10 * 10 = 100\nSum of the last 7 of them = 10 * 80 = 800\nSo, the 8th number = 900 + 100 - 800 = 200.
The final answer: (B).


[User] A BOWLER CAN TAKE MAX. 3WICKETS IN A OVER.IF HE BOWLS 6OVERS IN AN INNINGS, HOW MANY MAXIMUM WICKETS CAN HE TAKE?\nOptions:\n(A) 8\n(B) 9\n(C) 11\n(D) 7\n(E) 10 Stream of consciousness first, then make a decision:

[Assistant]
10 because after 10 wickets, the innings is complet
Thus, the answer is (E).


[User] How much is 80% of 60 is greater than 4/5 of 25?\nOptions:\n(A) 15\n(B) 28\n(C) 16\n(D) 12\n(E) 73 Now, let's think a bit. Some random thoughts:

[Assistant]
(80/100) * 60 â€“ (4/5) * 25\n48 - 20 = 28
The final answer: (B).


[User] Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. what percent of the families in City X owned a personal computer in 1998?\nOptions:\n(A) 50%\n(B) 52%\n(C) 56%\n(D) 70%\n(E) 74% Hmmm, my stream of consciousness:

[Assistant] Say a 100 families existed in 1994 then the number of families owning a computer in 1994 - 40\nNumber of families owning computer in 1998 = 40 * 130/100 = 52\nNumber of families in 1998 = 104\nThe percentage = 52/104 * 100 = 50%. So, the answer is (A).


[User] The compound ratio of 2/3, 6/7, 1/3 and 3/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 1/98\n(D) 1/96\n(E) 3/42 Think first, then make a decision. Some random thoughts:

[Assistant] 2/3 * 6/7 * 1/3 * 3/8 = 36/504 = 3/42 So the answer is (E).


[User] Give stream of consciousness and then the final answer. A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?\nOptions:\n(A) 120 m\n(B) 100 m\n(C) 324 m\n(D) Cannot be determined\n(E) None of these

[Assistant]
Speed = 60* 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 6 = 100 m
The final answer: (B).


[User] Question: If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office.\nOptions:\n(A) 1⁄2 hr\n(B) 1 hr\n(C) 3⁄4 hr\n(D) 2 hrs\n(E) None of these Random thoughts:

[Assistant] If new speed is a⁄b of original speed, then usual time × (b⁄a - 1) = change in time\n∴ usual time × (4⁄3 - 1) = 1⁄3\n⇒ usual time = 1⁄3 × 3 = 1 hr The final answer: (B).


[User] Give stream of consciousness and then the final answer. A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, 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) 26\n(D) 24\n(E) 30

[Assistant]
Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 and will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26.
The final answer: (C).


[User] If the cost price of 50 articles is equal to the selling price of 30 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 67 Let's think first. Stream of consciousness:

[Assistant]
Percentage of profit = 20/30 * 100 = 67%
So, the answer is (E).


[User] A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?\nOptions:\n(A) 6\n(B) 8\n(C) 10\n(D) 12\n(E) 15 Think first, then make a decision. Some random thoughts:

[Assistant] If students are A, B, C, D, E and F; we can have 6C3 groups in all. However, if we have to count groups in which a particular student (say A) is always selected we would get 5C2 = 10 ways of doing it. So the answer is (C).


[User] Use some thinking to answer the following question. A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?\nOptions:\n(A) 240 meters\n(B) 260 meters\n(C) 420 meters\n(D) 600 meters\n(E) Cannot be determined

[Assistant] Speed of the train in metres/sec = 72000/3600 = 20\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\nDistance travelled by train to cross the man = 17 * 20 = 340 = Length of train\nLength of platform = 600 - 340 = 260 So the final answer is (B).


[User] Find the 100th place digit of a number forming from digits 1 to 9 without repeatation and number passes the divisibility test of 11 means difference of sum of alternative digits is 0 or divisible by 11.\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Think first, then make a decision. Some random thoughts:

[Assistant] Largest no is 987652413\nSo digit will be 4 So the answer is (D).


[User] Q: A train 600 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 170 meters long is?\nOptions:\n(A) 287 sec\n(B) 288 sec\n(C) 55 sec\n(D) 16 sec\n(E) 17 sec Let's give some random thoughts before answering.

[Assistant]
D = 600 + 170 = 770\nS = 50 * 5/18 = 14 mps\nT = 770/14 = 55 se
Therefore, the answer is (C).


[User] A printer print a page in 4 second,approx how long time it will take to print 190 page report?\nOptions:\n(A) 12 Min 40 Sec\n(B) 14 Min 40 Sec\n(C) 16 Min 40 Sec\n(D) 18 Min 40 Sec\n(E) 11 Min 40 Sec OK. Let's think. Some random thoughts first:

[Assistant] 1 Page = 4 Sec\n30 Page = 120 Sec (2 Min)\n190 Page = 12 Min 40 Sec The answer: (A).


[User]
Student: The inverse ratio of 3: 6: 1 is?\nOptions:\n(A) 2:3:7\n(B) 2:3:9\n(C) 2:1:6\n(D) 2:3:6\n(E) 2:3:1.
Another student: Let's say, hmmm...

[Assistant] 1/3: 1/6: 1/1 = 2:1:6 Final answer: (C).


[User] Use some thinking to answer the following question. A cricket bat is sold for $900, making a profit of $300. The profit percentage would be\nOptions:\n(A) 24%\n(B) 25%\n(C) 30%\n(D) 50%\n(E) 40%

[Assistant] 300/(900 - 300) = 50%. So the final answer is (D).


[User] A no.when divided by 224 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) 11\n(E) 12 OK. Let's think. Some random thoughts first:

[Assistant] 224 + 43 = 267/17 = 12 (Remainder) The answer: (E).


[User] Q: Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?\nOptions:\n(A) 30 days\n(B) 35 days\n(C) 25 days\n(D) 27 days\n(E) 29 days Let's give some random thoughts before answering.

[Assistant]
1/50 + 1/75 = 5/150\n30/1 = 30 days
Therefore, the answer is (A).


[User] The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 89 kmph\n(B) 92 kmph\n(C) 90 kmph\n(D) 65 kmph\n(E) 77 kmph Think first, then make a decision. Some random thoughts:

[Assistant] S = (120 + 60)/2 = 90 kmph So the answer is (C).


[User] A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 108\n(C) 1266\n(D) 75\n(E) 211 Hmmm, my stream of consciousness:

[Assistant] S = 250/12 * 18/5 = 75kmph So, the answer is (D).


[User] Use some thinking to answer the following question. A can do a piece of work in 30 days while B can do it in 40 days. In how many days will they finish it together?\nOptions:\n(A) 120/7\n(B) 95/8\n(C) 123/9\n(D) 150/7\n(E) None

[Assistant] 1/30 + 1/40 = 7/120\nBoth can finish the work in 120/7 days So the final answer is (A).


[User] The squared value of the diagonal of a rectangle is (64 + B2) sq cm, where B is less than 8 cm. What is the breadth of that rectangle?\nOptions:\n(A) 6 cm\n(B) 10 cm\n(C) 8 cm\n(D) Data inadequate\n(E) None of these Stream of consciousness:

[Assistant]
Diagonal2 = 64 + B2 or, 10(2) = 64 + 6(2)
Thus, the answer is (A).


[User] Give stream of consciousness and then the final answer. Two numbers are in the ratio 3 : 4. If the sum of numbers is 63, find the numbers.\nOptions:\n(A) 26,37\n(B) 25,38\n(C) 27,36\n(D) 28,35\n(E) 29,34

[Assistant]
Sum of the terms of the ratio = 3 + 4 = 7\nSum of numbers = 63\nTherefore, first number = 3/7 × 63 = 27\nSecond number = 4/7 × 63 = 36\nTherefore, the two numbers are 27 and 36.
The final answer: (C).


[User]
Student: The average mark obtained by 22 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\nOptions:\n(A) 2\n(B) 0\n(C) 9\n(D) 8\n(E) 6.
Another student: Let's say, hmmm...

[Assistant] It is clear that 22 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 0 Final answer: (B).


[User]
Student: Find the odd man out\n74, 24, 82, 61, 10, 4\nOptions:\n(A) 61\n(B) 24\n(C) 10\n(D) 82\n(E) 74.
Another student: Let's say, hmmm...

[Assistant] 61 is the only odd number in the series. Final answer: (A).


[User] Use some thinking to answer the following question. X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 5 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 12\n(B) 5\n(C) 6\n(D) 8\n(E) 9

[Assistant] Work done by X in 1 day = 1/18\nWork done by Y in 1 day = 1/15\nWork done by Y in 5 days = 5/15 = 1/3\nRemaining work = 1 – 1/3 = 2/3\nNumber of days in which X can finish the remaining work = (2/3) / (1/18) = 12 So the final answer is (A).


[User]
Student: The average of seven numbers is 15. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 6\n(B) 29\n(C) 31\n(D) 34\n(E) 35.
Another student: Let's say, hmmm...

[Assistant] The total of seven numbers = 7X15 = 105\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (105 - 99 ) = 6 Final answer: (A).


[User]
Some question: 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 $20 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) $400m\n(E) $153m
Some stream of consciousness:

[Assistant] 20/100*1/4*(total) = 20\n1/20*(total) = 20\n(total) = 20*20 = 400 The answer: (D).


[User]
Some question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.\nOptions:\n(A) 85 ÷ 17 × 110\n(B) 45 × 6 + 75 × 4\n(C) 175 ÷ 25 × 75 + 5(2) \n(D) 36 × 4 + 21(2)  – 7 × 5\n(E) 65 × 12 – 46 × 5
Some stream of consciousness:

[Assistant] Except it, others are equal to 550. The answer: (B).


[User] The price of a T.V. set worth Rs. 70000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 22678\n(B) 26699\n(C) 69000\n(D) 19000\n(E) 26711 Let's think first. Stream of consciousness:

[Assistant]
Money paid in cash = Rs. 1000\nBalance payment = (70000 - 1000) = Rs. 69000
So, the answer is (C).


[User]
Student: A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?\nOptions:\n(A) 1 1⁄2 minutes\n(B) 3 1⁄2 minutes\n(C) 3 3⁄5 minutes\n(D) 4 1⁄4 minutes\n(E) None of these.
Another student: Let's say, hmmm...

[Assistant] 1 minute’s work of both the punctures = (1⁄9 + 1⁄6) = 5⁄18\nSo, both the punctures will make the tyre flat in 18⁄5 = 33⁄5 min. Final answer: (C).


[User] In a race with 30 runners where 8 trophies will be given to the top 8 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 8^8 ways\n(B) 8^9 ways\n(C) 7^8 ways\n(D) 8^7 ways\n(E) 8^6 ways OK. Let's think. Some random thoughts first:

[Assistant] 8 people can be prized with 8 distinct prizes in 8^8 ways The answer: (A).


[User] Give stream of consciousness and then the final answer. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?\nOptions:\n(A) 15\n(B) 14\n(C) 17\n(D) 12\n(E) 19

[Assistant]
This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.
The final answer: (A).


[User] Give a quick stream of consciousness before answering the following question. Which one of the following is a prime number?\nOptions:\n(A) 10\n(B) 61\n(C) 49\n(D) 75\n(E) 91

[Assistant]
61 is divisible by 1, and itself. So, it is a prime number.
The answer: (B).


[User] There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 1961\n(B) 1981\n(C) 1991\n(D) 1971\n(E) None of the above Now, let's think a bit. Some random thoughts:

[Assistant]
We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.
The final answer: (B).


[User] Question: The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 2 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?\nOptions:\n(A) 3.\n(B) 7.\n(C) 10.\n(D) 12.\n(E) 15. Random thoughts:

[Assistant] Time taken by the birds to meet = 15/(2 + 1) = 5 mins\nDistance traveled by the bird traveling from West-Town = 2 * 5 = 10 The final answer: (C).


[User] Give stream of consciousness and then the final answer. If 80 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\nOptions:\n(A) 60 %\n(B) 65 %\n(C) 70%\n(D) 75%\n(E) 80%

[Assistant]
{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 80 + 75 - {Both correctly} + 5\n{Both correctly} = 60.
The final answer: (A).


[User] Question: The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\nOptions:\n(A) 26\n(B) 45\n(C) 90\n(D) 80\n(E) 65 Let's think first. Some random reasoning:

[Assistant] It is clear that 23 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 45 The final answer: (B).


[User] Give a quick stream of consciousness before answering the following question. 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) 22 kmph\n(B) 40 kmph\n(C) 20 kmph\n(D) 15 kmph\n(E) 23 kmph

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


[User] The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 55\n(B) 56\n(C) 57\n(D) 58\n(E) 59 Stream of consciousness first, then make a decision:

[Assistant]
1 to 11 = 11 * 50 = 550\n1 to 5 = 5 * 49 = 245\n5 to 11 = 7 * 52 = 364\n5th = 245 + 364 – 550 = 59
Thus, the answer is (E).


[User]
Some question: Find the wrong number below mentioned series\n7,30,80,250,550\nOptions:\n(A) 7\n(B) 30\n(C) 80\n(D) 250\n(E) 550
Some stream of consciousness:

[Assistant] 7 is the only prime number or odd number in the series. The answer: (A).


[User] 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).\nOptions:\n(A) 7\n(B) 6\n(C) 9\n(D) 8\n(E) 10 Stream of consciousness first, then make a decision:

[Assistant]
The question is not written in proper manner but we can work in 3 methods\n1) If these are random handshakes, then total methods = 10*9/2*1 = 45\n2) If these are cyclic handshakes, then total methods = 10\n3) If these persons are not cyclic but they are arranged in a straight bench, then number of methods = 9
Thus, the answer is (C).


[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) 22678\n(B) 26699\n(C) 26788\n(D) 19000\n(E) 26711 Let's think first. Stream of consciousness:

[Assistant]
Money paid in cash = Rs. 1000\nBalance payment = (20000 - 1000) = Rs. 19000
So, the answer is (D).


[User] There are 10 flavors of ice cream, 3 types of nuts and 5 types of fruit at an ice cream store. If a person can choose 2 ice cream flavors as base, 2 types of nuts and 2 types of fruit. How many different variations are possible if repetition is allowed ?\nOptions:\n(A) 150\n(B) 250\n(C) 22500\n(D) 225\n(E) 225000 OK. Let's think. Some random thoughts first:

[Assistant] Ice cream flavors: 10x10 = 100\nNuts: 3x3 = 9\nFruit: 5x5 = 25\nTotal = 22500 The answer: (C).


[User] Give stream of consciousness and then the final answer. If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 5 years the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 9125\n(E) 1268

[Assistant]
A = 7500(26/25)^5 = 9125
The final answer: (D).


[User]
Student: If a man can cover 18 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 243 km\n(B) 162 km\n(C) 1767 km\n(D) 1887 km\n(E) 177 km.
Another student: Let's say, hmmm...

[Assistant] 18 m/s = 18 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 18 * 18/5 * 15/4 km = 243 km. Final answer: (A).


[User] Q: How much 60% of 50 is greater than 50% of 30?\nOptions:\n(A) 18\n(B) 91\n(C) 11\n(D) 17\n(E) 15 Let's give some random thoughts before answering.

[Assistant]
(60/100) * 50 – (50/100) * 30\n30 - 15 = 15
Therefore, the answer is (E).


[User] A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 80 as remainder. Find the no. is?\nOptions:\n(A) 220880\n(B) 145778\n(C) 220081\n(D) 220080\n(E) 220030 Let's think first. Stream of consciousness:

[Assistant]
(555 + 445) * 2 * 110 + 80 = 220000 + 80 = 220080
So, the answer is (D).


[User]
Student: John makes $60 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?\nOptions:\n(A) 16.12%\n(B) 25%\n(C) 16.56%\n(D) 17.66%\n(E) 18.1%.
Another student: Let's say, hmmm...

[Assistant] Increase = (15/60)*100 = (1/4)*100 = 25%. Final answer: (B).


[User] From the set of numbers x, y, t, z and w, how many different combinations can we have without the t and z in them? Ex:. (x,y), (x), (w,y,x), etc and (x,y)=(y,x)\nOptions:\n(A) 6\n(B) 14\n(C) 15\n(D) 16\n(E) 30 OK. Let's think. Some random thoughts first:

[Assistant] Another way: Any letter (x, y, w) can be included or not. So, we have 2^3 combinations - 2 empty combination = 6 combinations The answer: (A).


[User] Give a quick stream of consciousness before answering the following question. The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A?\nOptions:\n(A) 8500\n(B) 3500\n(C) 4500\n(D) 5000\n(E) 1500

[Assistant]
(A + B) - (B + C) = 5000\nA - C = 5000
The answer: (D).


[User] How many prime numbers between 1 and 100 are factors of 7150?\nOptions:\n(A) 238\n(B) 100\n(C) 299\n(D) 270\n(E) 111 Let's think first. Stream of consciousness:

[Assistant]
Ans: 7, 150 = 2×52×11×13\nSo there are 4 distinct prime numbers that are below 100
So, the answer is (B).


[User] 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 12 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 41 min.\n(C) 17 min.\n(D) 23 min.\n(E) 20 min. Stream of consciousness first, then make a decision:

[Assistant]
The ratio is 2:3 = gym:ride, so (12)(3/2) = 18 minutes at the gym, and 18 + 12 = 30 minutes exercise, so (2/3)(30) = 20 minutes yoga.
Thus, the answer is (E).


[User] Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?\nOptions:\n(A) 3/11\n(B) 2/11\n(C) 1/11\n(D) 4/11\n(E) 1/11 Stream of consciousness:

[Assistant]
Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by A in 3 minutes = 3/30\nRequired ratio = 3/30 * 20/11 = 2/11
Thus, the answer is (B).


[User] Question: A shipment of 8 TV sets contains 1 black and white sets and 7 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\nOptions:\n(A) 1/7\n(B) 1/4\n(C) 5/14\n(D) 11/28\n(E) 13/28 Random thoughts:

[Assistant] 7/8 * 6/7 = 3/4\n1-(3/4) = 1/4 The final answer: (B).


[User] If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =\nOptions:\n(A)  40320\n(B)  27720\n(C)  20160\n(D)  6720\n(E)  2520 Hmmm, my stream of consciousness:

[Assistant] The integer should be divisible by: 4, 5, 6, 7, 8, 9, 10, 11 and 12, that is 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 3*2^2. The least common multiple of these integers is the product of 11, 7, 5, 3^2 and 2^3. Then, M/11 is (11 * 7 * 5 * 3^2 * 2^3)/11 = 7*5*9*8 = 2520. So, the answer is (E).


[User] Use some thinking to answer the following question. A 21 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) 6\n(C) 88\n(D) 77\n(E) 14

[Assistant] 1: 2/5 = 5: 2\n2/7 * 21 = 6 So the final answer is (B).


[User] Question: 1500 is increased by 20%. Find the final number.\nOptions:\n(A) 1500\n(B) 1800.\n(C) 1900\n(D) 1700\n(E) 1660 Let's think first. Some random reasoning:

[Assistant] Final number = Initial number + 20%(original number) = 1500 + 20%(1500) = 1500 + 300 = 1800. The final answer: (B).


[User]
Student: A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?\nOptions:\n(A) Black\n(B) White\n(C) Red\n(D) Blue\n(E) None.
Another student: Let's say, hmmm...

[Assistant] This question is based on bear on poles so it should be polo bear and the color of polo bear is white. Final answer: (B).


[User] X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 2\n(B) 3\n(C) 9\n(D) 5\n(E) 8 OK. Let's think. Some random thoughts first:

[Assistant] Work done by X in 1 day = 1/20\nWork done by Y in 1 day = 1/16\nWork done by Y in 12 days = 12/16 = 3/4\nRemaining work = 1 – 3/4 = 1/4\nNumber of days in which X can finish the remaining work = (1/4) / (1/20) = 5 The answer: (D).


[User] Use some thinking to answer the following question. If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?\nOptions:\n(A) Sunday\n(B) Wednesday\n(C) Friday\n(D) Monday\n(E) Tuesday

[Assistant] There are 2 odd days in the year 2004\nSo, the day on 21th January 2005 will be two days beyond the day on 21th January 2004\nOn 21th January 2004, it was Wednesday So the final answer is (B).


[User] In a race with 30 runners where 5 trophies will be given to the top 9 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 9^5 ways\n(B) 8^9 ways\n(C) 7^8 ways\n(D) 8^7 ways\n(E) 8^6 ways Stream of consciousness:

[Assistant]
9 people can be prized with 5 distinct prizes in 9^5 ways
Thus, the answer is (A).


[User]
Student: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 3 kmph\n(E) 4 kmph.
Another student: Let's say, hmmm...

[Assistant] Speed upstream = 49/7 = 7 kmph\nSpeed down stream = 77/7 = 11kmph\nSpeed of stream = ½ (11-7) = 2 kmph Final answer: (C).


[User] Question: The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 110, 70 kmph\n(C) 90, 60 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph Random thoughts:

[Assistant] Speed downstream = 90 + 20 = 110 kmph\nSpeed upstream = 90 - 20 = 70 kmph The final answer: (B).


[User]
Some question: Which of the following numbers is divisible by 11?\nOptions:\n(A) 4424\n(B) 2232\n(C) 1522\n(D) 8524\n(E) 9515
Some stream of consciousness:

[Assistant] 9515. This is the only option with last two digits divisible by 11 The answer: (E).


[User] How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and repetition is allowed?\nOptions:\n(A) 3441\n(B) 3433\n(C) 3333\n(D) 3430\n(E) 3773 Hmmm, my stream of consciousness:

[Assistant] Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)\nFifth letter can be filled in 5 Ways ( As the question states that the last letter has to be a consonant)\nSecond letter can be filled in 7 Ways\nThird letter can be filled in 7 Ways\nFourth letter can be filled in 7 Ways\nSo, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430 So, the answer is (D).


[User] If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.68 per litre then what is the rate of mixed oil per litre?\nOptions:\n(A) Rs.49.17\n(B) Rs.51.03\n(C) Rs.56\n(D) Rs.55.33\n(E) None of the above Let's think first. Stream of consciousness:

[Assistant]
50*10 = 500\n68*5 = 340\n840/15 = 56
So, the answer is (C).


[User]
Some question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?\nOptions:\n(A) 85\n(B) 97\n(C) 109\n(D) 178\n(E) 112
Some stream of consciousness:

[Assistant] Answer: Option D\nThis is an alternating division and addition series: First, divide by 2, and then add 8. The answer: (D).


[User] Give a quick stream of consciousness before answering the following question. The edge of a cube is 3a cm. Find its surface?\nOptions:\n(A) 64a2 cm2\n(B) 54a2 cm2\n(C) 84a2 cm2\n(D) 24a2 cm2\n(E) 34a2 cm2

[Assistant]
6a2 = 6 * 3a * 3a = 54a2
The answer: (B).


[User] A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.\nOptions:\n(A) 62/63\n(B) 125/126\n(C) 1/63\n(D) 1/42\n(E) 1/126 OK. Let's think. Some random thoughts first:

[Assistant] Answer: Option E\nOut of nine, five are good and four are defective. Required probability = â´câ‚„/â¹câ‚„ = 1/126 The answer: (E).


[User] X can finish a work in 36 days. Y can finish the same work in 24 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) 12\n(B) 13\n(C) 16\n(D) 17\n(E) 18 Stream of consciousness first, then make a decision:

[Assistant]
Work done by X in 1 day = 1/36\nWork done by Y in 1 day = 1/24\nWork done by Y in 12 days = 12/24 = 1/2\nRemaining work = 1 – 1/2 = 1/2\nNumber of days in which X can finish the remaining work = (1/2) / (1/36) = 18
Thus, the answer is (E).


[User]
Some question: Express 35 mps in kmph?\nOptions:\n(A) 122\n(B) 188\n(C) 126\n(D) 140\n(E) 124
Some stream of consciousness:

[Assistant] 35 * 18/5 = 126 kmph The answer: (C).


[User] A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage?\nOptions:\n(A) 25%\n(B) 18%\n(C) 20%\n(D) 40%\n(E) 45% Hmmm, my stream of consciousness:

[Assistant] 100(1000-800)/800 = 25%\nProfit percentage = 25% So, the answer is (A).


[User] The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 15%\n(B) 25%\n(C) 35%\n(D) 40%\n(E) 45% Stream of consciousness:

[Assistant]
Cost price of article = 48$\n% of overhead cost = 20\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 20 = 45%
Thus, the answer is (E).


[User] A class consists of 100 students, 30 of them are girls and 70 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\nOptions:\n(A) 3/125\n(B) 1/59\n(C) 1/56\n(D) 1/54\n(E) 1/53 Think first, then make a decision. Some random thoughts:

[Assistant] The probability of selecting girl is: 30/100 = 3/10\nThe probability of selecting rich is: 20/100 = 1/5\nThe probability of selecting fair complexioned is: 40/100 = 2/5\nThree are independent;probability of rich and fair complexioned girl is:\n(3/10) Ã—(1/5) Ã— (2/5) = 3/125 So the answer is (A).


[User] The compound ratio of 2/5, 6/7, 1/3 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/70\n(C) 1/98\n(D) 1/96\n(E) 1/68 Stream of consciousness first, then make a decision:

[Assistant]
2/5 * 6/7 * 1/3 * 1/8 = 12/840 = 1/70
Thus, the answer is (B).


[User] Question: There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?\nOptions:\n(A) 12.\n(B) 9.\n(C) 8.\n(D) 7.\n(E) 6. Let's think first. Some random reasoning:

[Assistant] 7 = 3 blue balls + 12 / 3 The final answer: (D).


[User]
Some question: At a supermarket, a variety of cookies was priced at 75 cents per 100 grams. Subsequently, the price was revised to 40 cents for 30 grams of the same cookies. By approximately what percent did the ratio of price to weight increase from the initial price of 75 cents per pound?\nOptions:\n(A) 65\n(B) 78\n(C) 44\n(D) 18\n(E) 36
Some stream of consciousness:

[Assistant] Initial price/weight ratio = 75 / 100 = 225/300\nRevised price/weight ratio = 40 / 30 = 400/300 The answer: (B).


[User] A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?\nOptions:\n(A) 13\n(B) 25\n(C) 17\n(D) 12\n(E) 11 Now, let's think a bit. Some random thoughts:

[Assistant]
11 cartons total\n7 large boxes (7 * 8 = 56 boxes)\n4 small boxes (4 *10 = 40 boxes\n11 total cartons and 96 boxes
The final answer: (E).


[User] Q: Anish borrowed 15000 at the rate of 12% and an other amount at the rate of 15% for two years. The total interest paid by him was 9000. How much did he borrow?\nOptions:\n(A) 32,000\n(B) 33,000\n(C) 30,000\n(D) 35,000\n(E) None of these Let's give some random thoughts before answering.

[Assistant]
Let x be the other amount\n\ 3x⁄10 + 3600 = 900 ⇒ x = 18000\n\ total borrowed sum = 33000
Therefore, the answer is (B).


[User]
Some question: Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?\nOptions:\n(A) 6\n(B) 7\n(C) 9\n(D) 10\n(E) 13
Some stream of consciousness:

[Assistant] This is a simple alternating subtraction and addition series; The first series begins with 3 and adds 5; the second begins with 9 and subtracts 2, and so on. The answer: (E).


[User] In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?\nOptions:\n(A) 3:16.\n(B) 2:3.\n(C) 1:3.\n(D) 3:4.\n(E) 2:5 Stream of consciousness:

[Assistant]
Amount for Store a = 10 * 4 = 40\nAmount for Store b = 40 * 3 = 120\nRatio of Total Amount Would be = 40/120 = 1:3
Thus, the answer is (C).


[User] A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is\nOptions:\n(A) 124 Kms\n(B) 134 Kms\n(C) 144 Kms\n(D) 244 Kms\n(E) None of the above Now, let's think a bit. Some random thoughts:

[Assistant]
(1-(3/4))(1-(2/3)of distance = 12 km\n(1/12) of distance = 12 km\nHence distance = 144 km
The final answer: (C).


[User]
Student: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\nOptions:\n(A) 6hours\n(B) 3hours\n(C) 2hours\n(D) 5hours\n(E) 4hours.
Another student: Let's say, hmmm...

[Assistant] A's 1 hour work = 1/3;\n(B + C)'s 1 hour work = 1/2;\n(A + C)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6\nB's 1 hour work = (5/6 - 1/2) = 1/3\nB alone will take 3 hours to do the work. Final answer: (B).


[User] Question: There are 10 female and 15 male in a work place. In how many ways can a person can be selected?\nOptions:\n(A) 20\n(B) 15\n(C) 18\n(D) 40\n(E) 25 Random thoughts:

[Assistant] No of ways = 10+ 15 = 25 The final answer: (E).


[User] Give a quick stream of consciousness before answering the following question. A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ?\nOptions:\n(A) Cousin\n(B) Sister-in-law\n(C) Mother\n(D) Mother-in-law\n(E) None of these

[Assistant]
Since the man is referring to his nephew, the nephew’s parent has to be a sibling to the man. Now the last part says that the man’s sister has no other sister and hence the brother-sister relationship is established between the man and his nephew’s mother. Now the lady in the picture is the grandmother of the nephew and hence she is the mother of the man’s sister.
The answer: (C).


[User] Q: 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?\nLook at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?\nOptions:\n(A) 2\n(B) 4\n(C) 12\n(D) 0\n(E) 13 Let's give some random thoughts before answering.

[Assistant]
E\n13\nThis is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next.
Therefore, the answer is (E).


[User] A train of 25 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) 2 mins 14 sec\n(B) 2 mins 34 sec\n(C) 180 sec\n(D) 4 mins 54 sec\n(E) 2 mins 44 sec Stream of consciousness:

[Assistant]
D = 25 * 60 + 1500 = 3000 m\nT = 3000/60 * 18/5 = 180 se
Thus, the answer is (C).


[User] Give stream of consciousness and then the final answer. If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in\nOptions:\n(A) 3days\n(B) 2days\n(C) 5days\n(D) 6days\n(E) 1day

[Assistant]
The length of wall painted by one man in one day = 60 / 4 Ã— 3 = 5 m\nNo. of days required to paint 50 m wall by 5 men = 50/ 5 Ã— 5 = 2 day.
The final answer: (B).


[User] A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 36 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 36\n(C) 70\n(D) 13\n(E) 12 Stream of consciousness:

[Assistant]
1/18 - 1/36 = 1/36\n36 minutes
Thus, the answer is (B).


[User] Question: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 108\n(C) 1266\n(D) 188\n(E) 80 Let's think first. Some random reasoning:

[Assistant] S = 200/9 * 18/5 = 80 kmph The final answer: (E).


[User] Give a quick stream of consciousness before answering the following question. How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 91\n(C) 11\n(D) 17\n(E) 12

[Assistant]
(60/100) * 50 – (40/100) * 30\n30 - 12 = 18
The answer: (A).


[User] If the personal income tax rate is lowered from 46% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36000?\nOptions:\n(A) $3500\n(B) $5040\n(C) $3150\n(D) $7000\n(E) $10000 Hmmm, my stream of consciousness:

[Assistant] Saving = (46-32)% of 36000 = 5040. So, the answer is (B).


[User] A and B can do a work in 5 days, B and C in 15 days and C and A in 25 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 26/18\n(B) 42/15\n(C) 48/63\n(D) 12/36\n(E) 150/23 Think first, then make a decision. Some random thoughts:

[Assistant] One day work of A and B = 1/5\nOne day work of B and C = 1/15\nOne day work of C and A = 1/25\n2(A + B + C) = 1/5+ 1/15 + 1/25\n2(A + B + C) = 23/75\n(A + B + C) = 23/150\nNumber of days required = 150/23 days. So the answer is (E).


[User] Q: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?\nOptions:\n(A) 40 sec\n(B) 11 sec\n(C) 88 sec\n(D) 19 sec\n(E) 44 sec Let's give some random thoughts before answering.

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 190 = 550 m\nRequired time = 550 * 2/25 = 44 sec
Therefore, the answer is (E).


[User] Question: Find the simple interest on Rs.620 for 10 months at 10 paisa per month?\nOptions:\n(A) 277\n(B) 620\n(C) 640\n(D) 678\n(E) 121 Random thoughts:

[Assistant] I = (620*10*10)/100 = 620 The final answer: (B).


[User]
Some question: A train 175 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 sec\n(C) 17 sec\n(D) 88 sec\n(E) 10 sec
Some stream of consciousness:

[Assistant] Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 175 * 2/35 = 10 sec The answer: (E).


[User]
Student: Which of the following is a prime number ?\nOptions:\n(A) 90\n(B) 94\n(C) 96\n(D) 97\n(E) 98.
Another student: Let's say, hmmm...

[Assistant] Clearly, 97 is a prime number. Final answer: (D).


[User] Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?\nOptions:\n(A) 10 Kmph\n(B) 15 Kmph\n(C) 25 Kmph\n(D) 27 Kmph\n(E) 30 Kmph OK. Let's think. Some random thoughts first:

[Assistant] Total distance = 8 Km\nTotal time = 50 Km\nTime taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours\nRemaining distance = 8 - 3 = 5 Km\nRequired speed = 5/1/3 = 15 Kmph The answer: (B).


[User]
Student: Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?\nOptions:\n(A) X/8\n(B) X/7\n(C) X/6\n(D) X/5\n(E) X/4.
Another student: Let's say, hmmm...

[Assistant] Since the total number of skeins is X, then X = Blue + Yellow + Red\nBecause there are twice as many Blue as Yellow, then Blue = 2*Yellow\nThus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red\nBecause there are twice as many Yellow as Red, then Yellow = 2*Red\nThus X = 3*(2*Red) + Red, which simplifies to X = 7*Red\nTherefore Red = X/7 Final answer: (B).


[User] Q: The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages\nOptions:\n(A) 14 years, 30 years\n(B) 12 years, 28 years\n(C) 16 years, 34 years\n(D) 18 years, 38 years\n(E) none of these Let's give some random thoughts before answering.

[Assistant]
Let Rahul’s age = x years\nSo, Madhan’s age = ( x + 16 )years\nAlso, 3(x - 6) = x + 16 - 6 or, x = 14\nRahul’s age = 14 years\nAnd, Madhan’s age 14 + 16 = 30 years
Therefore, the answer is (A).


[User] A motorcyclist goes from Bombay to Pune, a distance of 288 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:5\n(C) 1:4\n(D) 2:3\n(E) 1:8 Let's think first. Stream of consciousness:

[Assistant]
T = 288/32 = 9 h\nT = 9 - 3 = 6\nTime Ratio = 9:6 = 3:2\nSpeed Ratio = 2:3
So, the answer is (D).


[User] What least number must be added to the least number of six digits so that the resulting number may be a perfect square.\nOptions:\n(A) 489\n(B) 267\n(C) 278\n(D) 199\n(E) 111 Stream of consciousness first, then make a decision:

[Assistant]
The least number of six digits = 100000 3 10 00 00 317 9 61 100 61 627 3900 4389 – 489 Least number to be added = 489.
Thus, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. Find the wrong number below mentioned series\n3,20,50,60,80\nOptions:\n(A) 80\n(B) 60\n(C) 50\n(D) 20\n(E) 3

[Assistant]
3 is the only prime number or odd number in the series.
The answer: (E).


[User] The sale price sarees listed for Rs.400 after successive discount is 20% and 5% is?\nOptions:\n(A) 338\n(B) 277\n(C) 342\n(D) 882\n(E) 304 Let's think first. Stream of consciousness:

[Assistant]
400*(80/100)*(95/100) = 304
So, the answer is (E).


[User] Give stream of consciousness and then the final answer. A can do a piece of work in 15 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) 11 6/7days\n(B) 12 6/7days\n(C) 13 6/7days\n(D) 14 6/7days\n(E) 15 6/7days

[Assistant]
8/15 + 6/x = 1\nX = 12 6/7days
The final answer: (B).


[User] Sarah's grade was 50th percentile of the 20 grades for her class. Of the 30 grades from another class, 10 were higher than Sarah's, and the rest were lower. If no other grade was the same as Sarah's grade, then Sarah's grade was what percentile of the grades of the two classes of two classes combined?\nOptions:\n(A) 52nd\n(B) 56th\n(C) 60th\n(D) 70th\n(E) 82nd Think first, then make a decision. Some random thoughts:

[Assistant] 52nd/56th/60th/70th/82nd So the answer is (C).


[User] A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 sec\n(C) 17 sec\n(D) 18 sec\n(E) 12 sec Think first, then make a decision. Some random thoughts:

[Assistant] Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 210 * 2/35 = 18 sec So the answer is (D).


[User] A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 8\n(E) 9 Let's think first. Stream of consciousness:

[Assistant]
Required time = (9)/3 + (9)/9 = 4 hours.
So, the answer is (A).


[User] Question: Find the odd man out 4, 5, 15, 49, 201, 1011, 6073\nOptions:\n(A) 10\n(B) 7\n(C) 5\n(D) 2\n(E) 3 Random thoughts:

[Assistant] 4 x 1 + 2 = 6\n6 x 2 + 3 = 15\n15 x 3 + 4 = 49\n49 x 4 + 5 = 210 The final answer: (C).