[User] Give a quick stream of consciousness before answering the following 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 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 219\n(B) 246\n(C) 252\n(D) 262\n(E) 270

[Assistant]
Number of newborns that can die in first month = 1/10 * 300 = 30\nSurvived = 270\nNumber of newborns that can die in second month = 1/10 * 270 = 27\nSurvived = 243\nNumber of newborns that can die in third month = 1/10 * 243 = 24\nSurvived = 219
The answer: (A).


[User] A train 360 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\nOptions:\n(A) 29\n(B) 18\n(C) 48\n(D) 99\n(E) 32 Think first, then make a decision. Some random thoughts:

[Assistant] D = 360 + 120 = 480\nS = 54 * 5/18 = 15 mps\nT = 480/15 = 32 sec So the answer is (E).


[User] Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 51% 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) 16%\n(E) 10% Stream of consciousness first, then make a decision:

[Assistant]
{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 51 - {both} + 40\n{both} = 16%.
Thus, the answer is (D).


[User] Q: Divide Rs.32000 in the ratio 3:3?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 16000, 16000\n(D) 12000, 20006\n(E) 12000, 20001 Let's give some random thoughts before answering.

[Assistant]
3/6 * 32000 = 16000\n5/6 * 32000 = 16000
Therefore, the answer is (C).


[User] Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years have become the members of the club, find average age of all the 11 members.\nOptions:\n(A) 15\n(B) 31\n(C) 77\n(D) 99\n(E) 22 Stream of consciousness first, then make a decision:

[Assistant]
Average age of 9 members = 29 years; Excess age of 2 new members = (40 - 29) × 2 = 22 years\nTherefore, Increase in the average age on inclusion of 2 new members = 22112211 = 2 years\nTherefore, Average age of 11 members = 29 + 2 = 31 years
Thus, the answer is (B).


[User] Give stream of consciousness and then the final answer. The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 25\n(B) 27\n(C) 29\n(D) 33\n(E) 34

[Assistant]
The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 12+3 X 19 = 99\nSo, the middle number is (126 - 93 ) = 33
The final answer: (D).


[User] How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?\nOptions:\n(A) 16.5\n(B) 16.0\n(C) 15\n(D) 16.8\n(E) 16.1 Hmmm, my stream of consciousness:

[Assistant] D = 110 + 140 = 250 m\nS = 60 * 5/18 = 50/3\nT = 250 * 3/50 = 15 se So, the answer is (C).


[User] People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a white shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 29\n(B) 39\n(C) 54\n(D) 64\n(E) 75 Hmmm, my stream of consciousness:

[Assistant] The correct answer should not take the form: 5x + 4. Hence, it is So, the answer is (E).


[User] Use some thinking to answer the following question. Divide Rs.32000 in the ratio 1:9?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 12000, 20007\n(D) 3200, 28800\n(E) 12000, 20001

[Assistant] 1/10 * 32000 = 3200\n9/10 * 32000 = 28800 So the final answer is (D).


[User] Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5 OK. Let's think. Some random thoughts first:

[Assistant] Maximum power of 5 in the above expression can be calculated like this. Count all the powers of 5 in the above expression. So number of zeroes are 9. The answer: (A).


[User]
Student: In how many different ways can the letters of the word "POLICE" be rearrangement?\nOptions:\n(A) 710\n(B) 725\n(C) 720\n(D) 770\n(E) 722.
Another student: Let's say, hmmm...

[Assistant] Option 'C'\nThe total number of arrangements is\n6P6 = 6! = 720 Final answer: (C).


[User] Use some thinking to answer the following question. There are 4 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?\nOptions:\n(A) 10\n(B) 8\n(C) 40\n(D) 60\n(E) 120

[Assistant] Each person is one participant of 4 games. So there are in all 4*4 = 16 instances of one participant games. But each game has 2 participants so total number of games = 16/2 = 8 So the final answer is (B).


[User] Question: What is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?\nOptions:\n(A) 7000\n(B) 700\n(C) 70000\n(D) 70\n(E) 7 Let's think first. Some random reasoning:

[Assistant] 100889 - (Local value of 3) = 100889 - 3000 = 97889\nLocal value of 7 in 97889 = 7000 The final answer: (A).


[User] Q: 2 44 4 41 6 38 8 - Look carefully for the pattern, and then choose which pair of numbers comes next.\nOptions:\n(A) 35 10\n(B) 12 10\n(C) 9 34\n(D) 52 10\n(E) 34 89 Let's give some random thoughts before answering.

[Assistant]
Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3.
Therefore, the answer is (D).


[User] Use some thinking to answer the following question. You are filling up your car with gas. Your tank can hold 19 gallons. Your car started with x gallons in it. You paid $20 in gas. What was the cost of gas per gallon?\nOptions:\n(A) 19/20\n(B) x/20\n(C) (19-x) /20\n(D) x-19) /20\n(E) 19+20/x

[Assistant] Amount of gas you added to your car: 19-x\nPrice per gallon: (19-x)/20 So the final 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 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 360\n(C) 60\n(D) 180\n(E) 720 Hmmm, my stream of consciousness:

[Assistant] 5C3 * 4C2 * 4C2 = 10*6*6 = 360. So, the answer is (B).


[User] The average of first four prime numbers greater than 50 is?\nOptions:\n(A) 50\n(B) 57\n(C) 89\n(D) 56\n(E) 60 Think first, then make a decision. Some random thoughts:

[Assistant] 53 + 59 + 61 + 67 = 240/4 = 60 So the answer is (E).


[User] If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days?\nOptions:\n(A) 120\n(B) 240\n(C) 360\n(D) 1200\n(E) 480 Let's think first. Stream of consciousness:

[Assistant]
10 men 120 acres 15 days\n20 men ? 30 days\n120 * 20/10 * 30/15\n120 *2 * 2\n120 * 4 = 480
So, the answer is (E).


[User] A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?\nOptions:\n(A) 5/15\n(B) 2/21\n(C) 20/15\n(D) 5/210\n(E) 4/14 OK. Let's think. Some random thoughts first:

[Assistant] Of the 15 marbles we are wanting red:\nProbability of choosing 1st red marble: 5/15\nProbability of Choosing 2nd red marble: 4/14\nMultiply and you get 20/210 simplified to 2/21 The answer: (B).


[User] Give stream of consciousness and then the final answer. A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?\nOptions:\n(A) 12 hrs\n(B) 24 hrs\n(C) 36 hrs\n(D) 48 hrs\n(E) 42 hrs

[Assistant]
Time taken by leak to empty tank = 1/(1/16-1/24) = 48 hrs
The final answer: (D).


[User] A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?\nOptions:\n(A) 356\n(B) 278\n(C) 300\n(D) 279\n(E) 150 Think first, then make a decision. Some random thoughts:

[Assistant] Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 18 = 300 m So the answer is (C).


[User]
Student: Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?\nOptions:\n(A) A) 12\n(B) B) 14\n(C) C) 38\n(D) D) 53\n(E) E) 86.
Another student: Let's say, hmmm...

[Assistant] In this series, each number is repeated, then 5 is subtracted to arrive at the next number. Final answer: (C).


[User] The edge of a cube is 2a cm. Find its surface?\nOptions:\n(A) 23a2 cm2\n(B) 84a2 cm2\n(C) 64a2 cm2\n(D) 24a2 cm2\n(E) 14a2 cm2 Now, let's think a bit. Some random thoughts:

[Assistant]
6a2 = 6 * 2a * 2a = 24a2
The final answer: (D).


[User] Use some thinking to answer the following question. In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/4%\n(B) 33 1/3%\n(C) 33 7/3%\n(D) 33 5/3%\n(E) 33 1/7%

[Assistant] P = (P*3*R)/100\nR = 33 1/3% So the final answer is (B).


[User] When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder Q when N is divided by 30?\nOptions:\n(A) (a)  4\n(B) (b)  7\n(C) (c)  11\n(D) (d)  13\n(E) (e)  17 Think first, then make a decision. Some random thoughts:

[Assistant] N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. So the answer is (C).


[User] A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.\nOptions:\n(A) 6/63\n(B) 2/63\n(C) 125/126\n(D) 1/126\n(E) 1/63 Stream of consciousness first, then make a decision:

[Assistant]
Required probability = 1 - 1/126 = 125/126
Thus, the answer is (C).


[User] Give stream of consciousness and then the final answer. George's car calls for 8 ounces of oil for each cylinder used. His car's engine has 6 cylinders. If 16 ounces of oil has already been put into the engine used, then how many additional ounces of oil are needed?\nOptions:\n(A) 16\n(B) 48\n(C) 64\n(D) 32\n(E) 8

[Assistant]
Number of ounces per cylinder 8\nNumber of cylinders 6\nOunces needed 48\nOunces used 16
The final answer: (D).


[User] On a clock, how many times a day do the minute and hour hand overlap?\nOptions:\n(A) 10\n(B) 11\n(C) 20\n(D) 22\n(E) 24 Now, let's think a bit. Some random thoughts:

[Assistant]
22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day.
The final answer: (D).


[User]
Student: The edge of a cube is 4a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 96a2\n(D) 24a2\n(E) 24a7.
Another student: Let's say, hmmm...

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


[User] Q: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?\nOptions:\n(A) 3x\n(B) 4x\n(C) 7x\n(D) 12x\n(E) 27x Let's give some random thoughts before answering.

[Assistant]
Original perimeter = x\nHence original side = x/4\nNew side = 7x/4\nNew perimeter = 4*7x/4 = 7x
Therefore, the answer is (C).


[User] (x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?\nOptions:\n(A) 2\n(B) 7\n(C) 6\n(D) 1\n(E) 9 Think first, then make a decision. Some random thoughts:

[Assistant] (x + 1)(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d\n6(x + 1)(x - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\n6(x2x2 - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\n⇒6(x3+x2−x−1)⇒6(x3+x2−x−1) = ax3+bx2+cx+dax3+bx2+cx+d\n⇒6x3+6x2−6x−6⇒6x3+6x2−6x−6 = ax3+bx2+cx+dax3+bx2+cx+d\nEquating the coefficients of like learns on both the sides, a = 6, b = 6, c = -6 and d = -6. So the answer is (C).


[User] Count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6?\nOptions:\n(A) One\n(B) Three\n(C) Two\n(D) Five\n(E) Four Now, let's think a bit. Some random thoughts:

[Assistant]
Answer = E) Four\nNumbers between 10 - 99 giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93\nThe above Numbers giving remainder 1 when divided by 6 = 13, 37, 61, 85 = 4
The final answer: (E).


[User] Find the least number must be added to 228712 so that remaining no.is divisible by 9?\nOptions:\n(A) 5\n(B) 3\n(C) 1\n(D) 6\n(E) 2 Hmmm, my stream of consciousness:

[Assistant] On dividing 228712 by 9 we get the remainder 4, so 5 should be subtracted So, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 13 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\nOptions:\n(A)  2,060\n(B)  1,320\n(C)  545\n(D)  315\n(E)  286

[Assistant]
13*12*11/3*2*1 = 286
The answer: (E).


[User] Question: Divide Rs.32000 in the ratio 1:7?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 4000, 28000\n(D) 12000, 20006\n(E) 12000, 20001 Let's think first. Some random reasoning:

[Assistant] 1/8 * 32000 = 4000\n7/8 * 32000 = 28000 The final answer: (C).


[User] Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?\nOptions:\n(A) 4 mins\n(B) 10 mins\n(C) 15 mins\n(D) 3 mins\n(E) 7 mins Let's think first. Some random reasoning:

[Assistant] Answer will be A\nThe time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 4 mins. The final answer: (A).


[User] If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?\nOptions:\n(A) 50 kg\n(B) 100 kg\n(C) 150 kg\n(D) 200 kg\n(E) 250 kg Hmmm, my stream of consciousness:

[Assistant] 100 kg of first type. So, the answer is (B).


[User] Q: From among the 35 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\nOptions:\n(A) 1360\n(B) 1260\n(C) 1060\n(D) 1190\n(E) 1460 Let's give some random thoughts before answering.

[Assistant]
There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190
Therefore, the answer is (D).


[User] In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 5^3 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] 5 people can be prized with 3 distinct prizes in 5^3 ways The answer: (A).


[User] Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?\nOptions:\n(A) 5\n(B) 8\n(C) 7\n(D) 6\n(E) 9 Stream of consciousness:

[Assistant]
On dividing 899830 by 16 we get the remainder 6, so 6 should be subtracted
Thus, the answer is (D).


[User] Q: A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 72 kmph\n(E) 88 kmph Let's give some random thoughts before answering.

[Assistant]
S = 320/16 * 18/5 = 72 kmph
Therefore, the answer is (D).


[User]
Some question: In a school of 850 boys, 44% of Muslims, 32% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) A) 125\n(B) B) 119\n(C) C) 153\n(D) D) 721\n(E) E) 159
Some stream of consciousness:

[Assistant] 44 + 32 + 10 = 86%\n100 – 84 = 14%\n850 * 14/100 = 119 The answer: (B).


[User] Q: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 50%\n(C) 17%\n(D) 17.61%\n(E) 17.56% Let's give some random thoughts before answering.

[Assistant]
Increase = (30/60)*100 = (3/6)*100 = 50%.
Therefore, the answer is (B).


[User] One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?\nOptions:\n(A) 1/2\n(B) 1/3\n(C) 1/5\n(D) 1/6\n(E) 1/4 OK. Let's think. Some random thoughts first:

[Assistant] 135 litres = 1/4 of tank\n180 litres = 1/4 x 180/135 = 1/3 The answer: (B).


[User] Which of the following is equal to (y+1)!/y!?\nOptions:\n(A) y-1\n(B) 1+(1/y) \n(C) 1\n(D) y+1\n(E) y Let's think first. Stream of consciousness:

[Assistant]
(y + 1)! = (y + 1) * x!\n(y + 1)!/y! = y + 1
So, the answer is (D).


[User] Q: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:\nOptions:\n(A) 8%\n(B) 6%\n(C) 9%\n(D) 10%\n(E) 11% Let's give some random thoughts before answering.

[Assistant]
Rs 1552 income = Rs 128\nBy investing Rs 97 income = 128/1552*97 = Rs 8\nDivdend = 8%
Therefore, the answer is (A).


[User]
Some question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:\nOptions:\n(A) 35000\n(B) 40000\n(C) 50000\n(D) 60000\n(E) None
Some stream of consciousness:

[Assistant] Suppose Q invested Rs. y. Then, 40000/y = 2/3 or y = [40000 x 3 / 2] = 60000. The answer: (D).


[User] Give a quick stream of consciousness before answering the following question. Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 240 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours.

[Assistant]
In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 ÷ 60 = 4 hours.
The answer: (D).


[User]
Student: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/7 %\n(B) 22 3/2 %\n(C) 22 1/8 %\n(D) 22 1/2 %\n(E) 22 1/2 %.
Another student: Let's say, hmmm...

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


[User] Q: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 55 players took part in that tournament. How many matches were played?\nOptions:\n(A) 90 matches\n(B) 95 matches\n(C) 99 matches\n(D) 85 matches\n(E) 87 matches Let's give some random thoughts before answering.

[Assistant]
A 54 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 54 matches were played.
Therefore, the answer is (A).


[User] What is the units digit of the expression 14^7−15^4?\nOptions:\n(A)  0\n(B)  8\n(C)  4\n(D)  6\n(E)  3 Stream of consciousness first, then make a decision:

[Assistant]
I think answer on this one should be B too. Since we know that 14^7>15^4, as Will said one should always check if the number is positive.
Thus, the answer is (B).


[User] Two trains are moving at 80 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) 6 sec\n(B) 7 sec\n(C) 7 2/2 sec\n(D) 8 sec\n(E) 9 sec OK. Let's think. Some random thoughts first:

[Assistant] 70 + 80 = 150 * 5/18 = 125/3 mps\nD = 150 + 100 = 250 m\nT = 250 * 3/125 = 6 sec The answer: (A).


[User] A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 672\n(C) 652\n(D) 642\n(E) 721 Now, let's think a bit. Some random thoughts:

[Assistant]
8 * 84 = 672 – 10 = 662
The final answer: (A).


[User] Question: A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?\nOptions:\n(A) 75 m\n(B) 180 m\n(C) 324 m\n(D) Cannot be determined\n(E) None of these Random thoughts:

[Assistant] Speed = 30 * 5/18 = 25/3 m/sec\nLength of the train = speed * time = 25/3 * 9 = 75 m The final answer: (A).


[User] A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 5 kmph\n(B) 7 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 10 kmph Think first, then make a decision. Some random thoughts:

[Assistant] Speed downstream = d/t = 95/(2 1/2) = 38 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (38 - 18)/2 = 10 kmph So the answer is (E).


[User] Give a quick stream of consciousness before answering the following question. A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 0\n(E) 1

[Assistant]
39 + 20 = 59/13 = 7 (Remainder)
The answer: (A).


[User] Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Stream of consciousness first, then make a decision:

[Assistant]
On dividing 165826 by 4 we get the remainder 2, so 2 should be subtracted
Thus, the answer is (B).


[User]
Some question: The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 125\n(B) 126\n(C) 127\n(D) 128\n(E) 129
Some stream of consciousness:

[Assistant] 1 to 11 = 11 * 44 = 484\n1 to 5 = 5 * 49 = 245\n5 to 11 = 7 * 52 = 364\n5th = 245 + 364 – 484 = 125 The answer: (A).


[User] Use some thinking to answer the following question. How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 15\n(B) 57\n(C) 16\n(D) 12\n(E) 73

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


[User] In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\nOptions:\n(A) 48\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080 Stream of consciousness first, then make a decision:

[Assistant]
Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.
Thus, the answer is (A).


[User] Q: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 49%\n(C) 54%\n(D) 59%\n(E) 61% Let's give some random thoughts before answering.

[Assistant]
Total number of votes polled = (2136 + 7636 + 11628) = 21260\nSo, Required percentage = 11628/21260 * 100 = 54%
Therefore, the answer is (C).


[User] Q: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?\nOptions:\n(A) Two\n(B) Five\n(C) Six\n(D) Four\n(E) One Let's give some random thoughts before answering.

[Assistant]
Answer = A) Two\nNumbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93\nThe Numbers giving remainder 2 when divided by 5 = 12, 57 = 2
Therefore, the answer is (A).


[User] 10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\nOptions:\n(A) 1 2/7 days\n(B) 64 2/7 days\n(C) 1 7/7 days\n(D) 1 8/7 days\n(E) 62 2/5 days Let's think first. Stream of consciousness:

[Assistant]
1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/3\n15 women's 1 day work = (1/3- 10/100) = 7/30\n1 woman's 1 day work = 7/450\n1 woman alone can complete the work in 64 2/7 days.
So, the answer is (B).


[User] Use some thinking to answer the following question. Efrida and Frazer who live 15 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 10\n(E) 13

[Assistant] It's a simple geometry problem. Look at the diagram below: So the final answer is (E).


[User] In what time a sum of money double itself at 7% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 14 2/7%\n(D) 32 1/3%\n(E) 23 1/3% OK. Let's think. Some random thoughts first:

[Assistant] P = (P*7*R)/100\nR = 14 2/7% The answer: (C).


[User] On 3,000 invested at a simple interest rate 6 p.c.p.a, 900 is obtained as interest in certain years. In order to earn 1,600 as interest on 4,000 in the same number of years, what should be the rate of simple interest?\nOptions:\n(A) 7 p.c.p.a.\n(B) 8 p.c.p.a.\n(C) 9 p.c.p.a.\n(D) Data inadequate\n(E) None of these Stream of consciousness:

[Assistant]
Time = 900×100/3000×6 = 5 years\nRate = 1600×100/5×4000 = 8%
Thus, the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. A boy runs 200 metres in 24 seconds. What is his speed ?\nOptions:\n(A) 20 km/hr\n(B) 24 km/hr\n(C) 28.5 km/hr\n(D) 30 km/hr\n(E) 35 km/hr

[Assistant]
200/24 * 18/5 = 30 km/hr
The answer: (D).


[User] Give stream of consciousness and then the final answer. If anitha rows 65 km upstream and 105 km down steam taking 13 hours each, then the speed of the stream\nOptions:\n(A) 8.4 kmph\n(B) 5.5 kmph\n(C) 6 kmph\n(D) 8 kmph\n(E) 8.2 kmph

[Assistant]
Speed upstream = 65/13 = 5 kmph\nSpeed down stream = 105/5 = 21 kmph\nSpeed of stream = ½ (21-5) = 8 kmph
The final answer: (D).


[User] For integers U and V, when U is divided by V, the remainder is Zero. Which of the following must be true?\nOptions:\n(A) U and V share no common factors other than 1\n(B) UV is odd.\n(C) At least one of U and V is odd\n(D) The sum U + V is odd\n(E) U is odd Now, let's think a bit. Some random thoughts:

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


[User] Use some thinking to answer the following question. A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?\nOptions:\n(A)  1/14\n(B)  1/7\n(C)  3/7\n(D)  2/7\n(E)  1/2

[Assistant] Total ways to choose 4 employees from 8 employees = 8C4\nTwo women = 5C2\nTwo Men = 3C2\nP = (5C2 * 3C2)/8C2 = 3/7 hence So the final answer is (C).


[User] A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?\nOptions:\n(A) 15\n(B) 67\n(C) 18\n(D) 19\n(E) 12 Stream of consciousness:

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


[User] A cheetah runs m miles in n hours. How many miles will it run in x hours at the same rate?\nOptions:\n(A) mnx\n(B) m⁄n\n(C) mx⁄n\n(D) mx\n(E) mn⁄x Let's think first. Stream of consciousness:

[Assistant]
Given Speed = m/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDistance = m/n*x = mx/n
So, the answer is (C).


[User] Give stream of consciousness and then the final answer. In a school of 850 boys, 40% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) A) 125\n(B) B) 627\n(C) C) 187\n(D) D) 721\n(E) E) 159

[Assistant]
40 + 28 + 10 = 78%\n100 – 78 = 22%\n850 * 22/100 = 187
The final answer: (C).


[User] A certain car uses 12 gallons of gasoline in traveling 300 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 5\n(D) 8\n(E) 10 Stream of consciousness first, then make a decision:

[Assistant]
300/10 = 30. The difference is 30 - 25 = 5.
Thus, the answer is (C).


[User]
Student: If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/2\n(D) 4/5\n(E) 4/7.
Another student: Let's say, hmmm...

[Assistant] P(A|B) = P(A ∪ B)/P(B)\nP(A|B) = (6/15)/(4/15) = 3/2. Final answer: (C).


[User] Use some thinking to answer the following question. Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 450 or over 650. If the individual ranges of the three people's scores in those 4 practice tests were 30, 80 and 110, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 90\n(B) 120\n(C) 50\n(D) 70\n(E) 100

[Assistant] According to the information in the question the maximum range would be between 450 and 650(200). The minimum range would be the greatest range for any one individual, which is listed in the problem as 110. So the difference between these would be 200-110 or 90. So the final answer is (A).


[User]
Student: Find 94 ×× 97\nOptions:\n(A) 93/198\n(B) 93/12\n(C) 93/18\n(D) 93/10\n(E) 93/11.
Another student: Let's say, hmmm...

[Assistant] Here both numbers are less than 100. So they are deficient of - 6 and - 3 compared with 100. So Final answer: (C).


[User] 5,9,18,31,52,__\nOptions:\n(A) 79\n(B) 80\n(C) 86\n(D) 82\n(E) 83 Now, let's think a bit. Some random thoughts:

[Assistant]
(9+5) +4 = 18\n(16+9) +6 = 31\n(28+16)+8 = 52\n(48+28)+10 = 86
The final answer: (C).


[User] How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 28 sec\n(B) 23 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec Think first, then make a decision. Some random thoughts:

[Assistant] D = 110 + 150 = 260\nS = 36 * 5/18 = 10 mps\nT = 260/10 = 26 sec So the answer is (E).


[User] Question: A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 50 sec\n(C) 44 sec\n(D) 49 sec\n(E) 28 sec Let's think first. Some random reasoning:

[Assistant] Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 210 + 140 = 350 m\nRequired time = 350 * 2/25 = 28 sec The final answer: (E).


[User] A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?\nOptions:\n(A) 3\n(B) 2 2/8\n(C) 2 2/0\n(D) 2 2/2\n(E) 2 2/1 Hmmm, my stream of consciousness:

[Assistant] Work done by all three of them in one day = 1/8 + 1/8 + 1/12 = 1/3\nThe number of days required = 3 days. So, the answer is (A).


[User] Give stream of consciousness and then the final answer. A family pays $800 per year for an insurance plan that pays 65 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) $1,500\n(E) $2,200

[Assistant]
Upfront payment for insurance plan = 800$\nFamily needs to pay 35 % of first 1000 $ in expense = 350$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350 = 1150 $\nTotal amount paid by insurance plan for first 1000 $ = 800 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1500 $\n(Since insurance plan will pay 100% of amount that exceeds 1150$ )
The final answer: (D).


[User] Use some thinking to answer the following question. A can do a job in 12 days and B can do it in 15 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 22 1/2\n(C) 22 1/0\n(D) 22 1/9\n(E) 13 1/3

[Assistant] 1/12 + 1/15 = 9/60 = 3/20\n20/3 = 20/3 *2 = 13 1/3 days So the final answer is (E).


[User] Question: A family pays $850 per year for an insurance plan that pays 80 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) $1,250\n(C) $1,400\n(D) $1,800\n(E) $2,200 Let's think first. Some random reasoning:

[Assistant] Upfront payment for insurance plan = 850$\nFamily needs to pay 20 % of first 1000 $ in expense = 200$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 850 + 200 = 1050 $\nTotal amount paid by insurance plan for first 1000 $ = 850 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1250 $\n(Since insurance plan will pay 100% of amount that exceeds 1050$ ) The final answer: (B).


[User] Q: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 18\n(E) 22 Let's give some random thoughts before answering.

[Assistant]
The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours
Therefore, the answer is (B).


[User] John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 100%\n(C) 17%\n(D) 17.61%\n(E) 17.56% Stream of consciousness first, then make a decision:

[Assistant]
Increase = (60/60)*100 = (6/6)*100 = 100%.
Thus, the answer is (B).


[User] There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.\nOptions:\n(A) 29\n(B) 31\n(C) 32\n(D) 24\n(E) 21 OK. Let's think. Some random thoughts first:

[Assistant] 31. only the perfect squares between 1 to 1k The answer: (B).


[User] If P(A) = 2/15, P(B) = 7/15, and P(A âˆª B) = 16/15 Find P(A|B)\nOptions:\n(A) 1/2\n(B) 16/7\n(C) 3/2\n(D) 4/5\n(E) 4/7 Now, let's think a bit. Some random thoughts:

[Assistant]
P(A|B) = P(A âˆª B)/P(B)\nP(A|B) = (16/15)/(7/15) = 16/7.
The final answer: (B).


[User] What is the greatest positive integer x such that 4^x is a factor of 64^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30 Stream of consciousness:

[Assistant]
64^10 = (4^3)^10 = 4^30
Thus, the answer is (E).


[User] Use some thinking to answer the following question. A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.155. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 450\n(C) C) 500\n(D) D) 550\n(E) E) 600

[Assistant] 10 * 155 = 1550\n3 * 100 + 5 * 150 = 1050\n1550 – 1050 = 500 So the final answer is (C).


[User] Give stream of consciousness and then the final answer. From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?\nOptions:\n(A) 3252\n(B) 1365\n(C) 5325\n(D) 1432\n(E) 1324

[Assistant]
11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!/11!x4! = 1365 ways. Ans:
The final answer: (B).


[User] A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.170. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 650\n(C) C) 500\n(D) D) 550\n(E) E) 600 Stream of consciousness:

[Assistant]
10 * 170 = 1700\n3 * 100 + 5 * 150 = 1050\n1700 – 1050 = 650
Thus, the answer is (B).


[User] A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.1 km long?\nOptions:\n(A) 2 mins 14 sec\n(B) 2 mins 34 sec\n(C) 156 sec\n(D) 134 sec\n(E) 2 mins 44 sec Stream of consciousness:

[Assistant]
D = 25 * 60 + 1100 = 2600 m\nT = 2600/60 * 18/5 = 156 se
Thus, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\nOptions:\n(A) 40\n(B) 46\n(C) 50\n(D) 55\n(E) 60

[Assistant]
8C3 [Select any four] -5C3 [Select all hard backs] = 46
The answer: (B).


[User] John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?\nOptions:\n(A) 15%\n(B) 16.66%\n(C) 17.8%\n(D) 80%\n(E) 21% Think first, then make a decision. Some random thoughts:

[Assistant] Increase = (40/50)*100 = (4/5)*100 = 80%. So the answer is (D).


[User] Question: Is 2 a prime number or a composite number?\nOptions:\n(A) prime number\n(B) composite number\n(C) both prime composite number\n(D) Not prime composite number\n(E) Don't Know Random thoughts:

[Assistant] A Prime Number can be divided evenly only by 1 or itself\nSo 2 is prime number The final answer: (A).


[User] The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.\nOptions:\n(A) 259200 cm3\n(B) 86400 cm3\n(C) 720 cm3\n(D) Cannot be determined\n(E) None of these Let's think first. Stream of consciousness:

[Assistant]
Volume of the box = √120×72×60 = 720 cm3
So, the answer is (C).


[User] The average age of a class of 12 students is 8 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 30 Years\n(B) 31 Years\n(C) 21 Years\n(D) 34 Years\n(E) 49 Years Stream of consciousness first, then make a decision:

[Assistant]
Total age of students is 12X8 = 96 Years\nTotal age inclusive of teacher = 13X (8+1) = 117\nSo, Teacher's age is 117-96 = 21 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 8+(13X1) = 21 Years
Thus, the answer is (C).


[User] Question: What amount does Kiran get if he invests Rs. 18000 at 12% p.a. simple interest for four years?\nOptions:\n(A) 29893\n(B) 26640\n(C) 29989\n(D) 28800\n(E) 29883 Random thoughts:

[Assistant] Simple interest = (18000 * 4 * 12)/100 = Rs. 8640\nAmount = P + I = 18000 + 8640 = Rs. 26640 The final answer: (B).


[User] A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 8 min\n(C) 9 min\n(D) 6 min\n(E) 1 min Stream of consciousness:

[Assistant]
S = 600/40 = 15 mps\nS = 3600/15 = 240 sec = 4 min
Thus, the answer is (A).


[User] A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?\nOptions:\n(A) mnx\n(B) m⁄n\n(C) mx⁄n\n(D) mx\n(E) mn⁄x Think first, then make a decision. Some random thoughts:

[Assistant] Given Speed = m/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDistance = m/n*x = mx/n So the answer is (C).


[User] What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\nOptions:\n(A) 20\n(B) 23\n(C) 25\n(D) 27\n(E) 28 Hmmm, my stream of consciousness:

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


[User] Give stream of consciousness and then the final answer. The population of a bacteria colony doubles every day. If it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?\nOptions:\n(A) 512\n(B) 1024\n(C) 768\n(D) 2048\n(E) 4096

[Assistant]
9 days ago- 2\n8 days ago- 4\n7 days ago- 8\n6 days ago- 16\n5 days ago- 32\n4 days ago- 64\n3 days ago- 128\n2 days ago- 256\nYesterday- 512\nToday- 1024
The final answer: (B).


[User] Give stream of consciousness and then the final answer. In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/9%\n(B) 33 1/3%\n(C) 33 7/3%\n(D) 33 2/3%\n(E) 33 8/3%

[Assistant]
P = (P*3*R)/100\nR = 33 1/3%
The final answer: (B).


[User] A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 45\n(C) 40\n(D) 66\n(E) 09 Now, let's think a bit. Some random thoughts:

[Assistant]
S = (110 + 280 /38 = 390/38 * 18/5 = 40
The final answer: (C).


[User] Divide Rs.32000 in the ratio 3:5?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 12000, 20007\n(D) 12000, 20006\n(E) 12000, 20001 Now, let's think a bit. Some random thoughts:

[Assistant]
3/8 * 32000 = 12000\n5/8 * 32000 = 20000
The final answer: (A).


[User] A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 22 1/2\n(C) 22 1/0\n(D) 15\n(E) 22 1/1 Hmmm, my stream of consciousness:

[Assistant] 1/12 + 1/20 = 8/60 = 2/15\n15/2 = 15/2 *2 = 15 days So, the answer is (D).


[User] Q: The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 4/189\n(D) 1/96\n(E) 1/68 Let's give some random thoughts before answering.

[Assistant]
2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189
Therefore, the answer is (C).


[User] A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 45 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 36 minutes\n(D) 27 minutes\n(E) 11 minutes OK. Let's think. Some random thoughts first:

[Assistant] 1/20 - 1/45 = 1/36\n36 minutes The answer: (C).


[User] A boy runs 200 metres in 72 seconds. What is his speed ?\nOptions:\n(A) 10 km/hr\n(B) 14 km/hr\n(C) 20 km/hr\n(D) 12 km/hr\n(E) 24 km/hr Hmmm, my stream of consciousness:

[Assistant] 200/72 * 18/5 = 10 km/hr So, the answer is (A).


[User] How much is 90% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 66\n(D) 16\n(E) 99 Stream of consciousness:

[Assistant]
(90/100) * 40 – (4/5) * 25\n36 - 20 = 16
Thus, the answer is (D).


[User]
Student: A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14.
Another student: Let's say, hmmm...

[Assistant] 158 + 50 = 208/16 = 13 (Remainder) Final answer: (D).


[User] How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 1205\n(C) 992\n(D) 837\n(E) 923 Think first, then make a decision. Some random thoughts:

[Assistant] 50000(11/10)4 - 50000(6/5)2 = 1205 So the answer is (B).


[User]
Some question: Find the odd man out.10, 25, 45, 50, 66, 70, 80\nOptions:\n(A) 45\n(B) 50\n(C) 66\n(D) 70\n(E) 80
Some stream of consciousness:

[Assistant] Each of the numbers except 66 is multiple of 5. The answer: (C).


[User] Use some thinking to answer the following question. In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:\nOptions:\n(A) 72\n(B) 76\n(C) 100\n(D) 113\n(E) 112

[Assistant] Diver = (5*3)+3 = 18\n3* Quotient = 18\nQuotient = 6\nDividend = (Divisor * Quotient) + Remainder\nDividend = (18* 6) + 5 = 113 So the final answer is (D).


[User] Use some thinking to answer the following question. A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\nOptions:\n(A) 21 ½ days\n(B) 22 ½ days\n(C) 23 ½ days\n(D) 12 ½ days\n(E) none of these

[Assistant] 1/18 + 1/30 = 8/90 = 4/45\n45/4 = 11 ¼ *2 = 22 ½ days So the final answer is (B).


[User] Q: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 3387\n(B) 277\n(C) 223\n(D) 992\n(E) 213 Let's give some random thoughts before answering.

[Assistant]
(800*3*3)/100 = 72\n920 + 72 = 992
Therefore, the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. The average of 7 consecutive numbers is 33. The highest of these numbers is:\nOptions:\n(A) 28\n(B) 30\n(C) 33\n(D) 36\n(E) 28

[Assistant]
The average of 7 consecutive numbers will be the 4th number which is given to be = 33 5th number = 34, 6th number = 35, 7th number = 36
The answer: (D).


[User] Find the average of the first 41 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 10\n(D) 11\n(E) 21 Stream of consciousness first, then make a decision:

[Assistant]
Average of the first 'n' natural numbers = (n + 1)/2\nWe get (41 + 1)/2 = 21
Thus, the answer is (E).


[User] The average of first four prime numbers greater than 20 is?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50 Hmmm, my stream of consciousness:

[Assistant] 23 + 29 + 31 + 37 = 120/4 = 30 So, the answer is (C).


[User]
Some question: Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?\nOptions:\n(A) 27\n(B) 16\n(C) 38\n(D) 61\n(E) 83
Some stream of consciousness:

[Assistant] Using the elimination method the option that fits this description is 27\n7-2 = 5 (unit's digit that exceeds its ten's digit by 3)\n27*9 = 243 (the product of the given number and the sum of its digits is equal to 175) The answer: (A).


[User] Question: Which is equal to 11?\nOptions:\n(A) 1.1\n(B) -11\n(C) 11/11\n(D) 11/1\n(E) 1/11 Let's think first. Some random reasoning:

[Assistant] 11/1 is equal to 11. The final answer: (D).


[User] Q: What is the least number should be added to 1056, so the sum of the number is completely divisible by 29?\nOptions:\n(A) 17\n(B) 27\n(C) 37\n(D) 47\n(E) 57 Let's give some random thoughts before answering.

[Assistant]
(1056 / 29) gives remainder 12\n17 + 12 = 29, So we need to add 17
Therefore, the answer is (A).


[User] How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?\nOptions:\n(A) 15\n(B) 17\n(C) 15\n(D) 16\n(E) 18 Think first, then make a decision. Some random thoughts:

[Assistant] D = 200 + 200 = 400 m\nS = 80 * 5/18 = 200/9\nT = 400 * 9/200 = 18 sec So the answer is (E).


[User]
Some question: Bob wants a bunch of bananas and insists that the bunch contains a prime number of bananas. The bunches contain the following number of bananas. Which bunch should Bob buy?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 8\n(E) 9
Some stream of consciousness:

[Assistant] Bunch B has a prime number of bananas. The answer: (B).


[User] Use some thinking to answer the following question. Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\nOptions:\n(A) 222\n(B) 300\n(C) 99\n(D) 88\n(E) 67

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


[User] Which of the following numbers is divisible by 12?\nOptions:\n(A) 1332\n(B) 1021\n(C) 3221\n(D) 4211\n(E) 3233 Hmmm, my stream of consciousness:

[Assistant] 1332. This is the only option with last two digits divisible by 12 So, the answer is (A).


[User] A car finishes a journey in ten hours at the speed of 60 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 10 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) None of these OK. Let's think. Some random thoughts first:

[Assistant] Distance covered by the car = 64 × 10 = 640 km\n\ Speed = 640⁄8 = 80 km/hr\n\ Speed gain = 80– 64 = 16 km/hr The answer: (D).


[User] Question: Which of the following is equal to (x-1)!/(x-2)!?\nOptions:\n(A) x-1\n(B) 1+(1/x) \n(C) 1\n(D) x+1\n(E) x-1 Random thoughts:

[Assistant] (x - 1)! = (x - 2)! * (x-1)\n(x - 1)!/(x-2)! = x - 1 The final answer: (E).


[User] X can finish a work in 25 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 2\n(B) 5\n(C) 6\n(D) 7\n(E) 8 Now, let's think a bit. Some random thoughts:

[Assistant]
Work done by X in 1 day = 1/25\nWork done by Y in 1 day = 1/20\nWork done by Y in 12 days = 12/20 = 3/5\nRemaining work = 1 – 3/5 = 2/5\nNumber of days in which X can finish the remaining work = (2/5) / (1/20) = 8
The final answer: (E).


[User] 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 600 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 438\n(B) 446\n(C) 452\n(D) 462\n(E) 470 Random thoughts:

[Assistant] Number of newborns that can die in first month = 1/10 *600 = 60\nSurvived = 540\nNumber of newborns that can die in second month = 1/10 * 540 = 54\nSurvived = 486\nNumber of newborns that can die in third month = 1/10 * 486 = 48\nSurvived = 438 The final answer: (A).


[User] Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A)  4/11\n(B)  1/2\n(C)  15/22\n(D)  10/1\n(E)  11/4 Stream of consciousness first, then make a decision:

[Assistant]
P1 takes 12 hrs\nRate for P2P3 together = 1/20 + 1/20 = 1/10\nTherefore they take 10\nRatio = 10/1 =
Thus, the answer is (D).


[User] An design manager has 10patterns of chairs & 5patterns of tables. In how many ways can he make a pair of table & chair?\nOptions:\n(A) 20\n(B) 40\n(C) 50\n(D) 90\n(E) 100 OK. Let's think. Some random thoughts first:

[Assistant] He has has ten patterns of chairs and eight patterns of tables\nHence, A chair can be arranged in 10 ways and\nA table can be arranged in 5 ways\nHence one chair and one table can be arranged in 10 x 5 ways = 50 ways The answer: (C).


[User] Which of the following is equal to (x+1)!/x!?\nOptions:\n(A) x-1\n(B) 1+(1/x) \n(C) 1\n(D) x+1\n(E) x OK. Let's think. Some random thoughts first:

[Assistant] (x + 1)! = (x + 1) * x!\n(x + 1)!/x! = x + 1 The answer: (D).


[User] A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?\nOptions:\n(A) 2 1⁄4 min\n(B) 3 min\n(C) 4 1⁄4 min\n(D) 4 1⁄2 min\n(E) None of these Stream of consciousness first, then make a decision:

[Assistant]
Time = 225/6×518 = 135 sec = 21⁄4 min.
Thus, the answer is (A).


[User] A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 16\n(C) 70\n(D) 13\n(E) 12 Now, let's think a bit. Some random thoughts:

[Assistant]
1/20 - 1/28 = 1/70\n70 minutes
The final answer: (C).


[User] Question: What is the are of an equilateral triangle of side 10 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 25âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 14âˆš3 cm2 Let's think first. Some random reasoning:

[Assistant] Area of an equilateral triangle = âˆš3/4 S2\nIf S = 10, Area of triangle = âˆš3/4 * 10 * 10 = 25âˆš3 cm2; The final answer: (B).


[User]
Some question: The average of 11 results is 40, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 165\n(B) 166\n(C) 167\n(D) 168\n(E) 169
Some stream of consciousness:

[Assistant] 1 to 11 = 11 * 40 = 440\n1 to 5 = 5 * 49 = 245\n5 to 11 = 7 * 52 = 364\n5th = 245 + 364 – 440 = 169 The answer: (E).


[User] A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?\nOptions:\n(A) 28\n(B) 43\n(C) 36\n(D) 19\n(E) 37 Stream of consciousness first, then make a decision:

[Assistant]
Initial mileage/weight ratio = 38/180 = 190/900\nRevised mileage/weight ratio = 43/150 = 258/900
Thus, the answer is (C).


[User] There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\nOptions:\n(A) 35\n(B) 45\n(C) 50\n(D) 55\n(E) 60 Think first, then make a decision. Some random thoughts:

[Assistant] 8C4 [Select any four] - 7C4 [Select all hard backs] = 35. So the answer is (A).


[User]
Some question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?\nOptions:\n(A) Sunday\n(B) Friday\n(C) Saturday\n(D) Monday\n(E) Tuesday
Some stream of consciousness:

[Assistant] Given that 8th Feb, 2005 was Tuesday\nNumber of days from 8th Feb, 2004 to 7th Feb, 2005 = 366 (Since Feb 2004 has 29 days as it is a leap year)\n366 days = 2 odd days\nHence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday The answer: (A).


[User] If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 6/15 Find P(B|A)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3\n(D) 4/5\n(E) 4/7 OK. Let's think. Some random thoughts first:

[Assistant] P(B|A) = P(A âˆª B)/P(A)\nP(B|A) = (6/15)/(2/15) = 3. The answer: (C).


[User] In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\nOptions:\n(A) 360\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080 Stream of consciousness:

[Assistant]
Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 3 chairs to sit. The remaining 5 people can sit in 5! ways. Thus the # of arrangements is 3*5! = 360.
Thus, the answer is (A).


[User] Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?\nOptions:\n(A) 660 m\n(B) 650 m\n(C) 570 m\n(D) 670 m\n(E) 680 m OK. Let's think. Some random thoughts first:

[Assistant] Distance covered by Amar = (18/48)*1800 = 670 m The answer: (D).


[User] Q: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.\nWhat is the expected amount of time it will take for the rat to finish the maze?\nOptions:\n(A) 5min\n(B) 6min\n(C) 7min\n(D) 8min\n(E) 9min Let's give some random thoughts before answering.

[Assistant]
Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes.
Therefore, the answer is (E).


[User] Use some thinking to answer the following question. Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Five other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/12\n(B) q/5\n(C) q/10\n(D) q/7\n(E) q/8

[Assistant] Profit = q\nProfit to company founder = q/2\nProfit to other partners = q/2\nNumber of other partners = 5\nProfit to each partner = (q/2)/5 = q/10 So the final answer is (C).


[User] A boy runs 200 metres in 36 seconds. What is his speed ?\nOptions:\n(A) 20 km/hr\n(B) 24 km/hr\n(C) 30 km/hr\n(D) 32 km/hr\n(E) 34 km/hr Let's think first. Stream of consciousness:

[Assistant]
200/36 * 18/5 = 20 km/hr
So, the answer is (A).


[User] Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% 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) 17%\n(E) 10% Let's think first. Stream of consciousness:

[Assistant]
{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 52 - {both} + 40\n{both} = 17%.
So, the answer is (D).


[User] Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?\nOptions:\n(A) 30\n(B) 32\n(C) 34\n(D) 36\n(E) 38 Hmmm, my stream of consciousness:

[Assistant] First we have to arrange A, there is 1 method for it, for second person B, there are 2 methods one left and one right, for third 2 methods are there same as for B similarly for others, so total number of methods = 1*2*2*2*2*2 = 32 So, the answer is (B).


[User] Question: An equity analyst needs to select 3 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 7, in how many ways can she choose and rank her top 3 picks?\nOptions:\n(A) 21\n(B) 35\n(C) 210\n(D) 420\n(E) 840 Random thoughts:

[Assistant] Number of ways of choosing 3 stocks = 7C3\nNumber of ways of ranking the chosen stocks = 3!\nHence total ways of choosing and ranking = 7C3 * 3! = 7!/4! = 7*6*5 = 210 The final answer: (C).


[User] Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 75 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50 Random thoughts:

[Assistant] No of people from 10 - 11 is x\nNo of people from 11 - 12 is 3x/4\nNo of people from 12 to 1 is (3/2)(3x/4)\nGiven that 3x/4 + (3/2)(3x/4) = (3x/4)(5/2) = 75\nThen x = 40 The final answer: (D).


[User] Q: Find the arithmetic mean A of all roots of the following equation- see an attachment.\nOptions:\n(A) 2\n(B) 1\n(C) 0.5\n(D) -1/3\n(E) 0.3 Let's give some random thoughts before answering.

[Assistant]
Arithmetic mean A your answer C and E are same, can you correct one of them please. thanks.
Therefore, the answer is (C).


[User] Question: 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 Q in the liquid in the tank after 3 minutes?\nOptions:\n(A) 1/11\n(B) 2/11\n(C) 3/11\n(D) 4/11\n(E) 5/11 Let's think first. Some random reasoning:

[Assistant] Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by B in 3 minutes = 3/20\nRequired ratio = 3/20 * 20/11 = 3/11 The final answer: (C).


[User] Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?\nOptions:\n(A) 15\n(B) 14\n(C) 17\n(D) 18\n(E) 19 Random thoughts:

[Assistant] In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9. The final answer: (A).


[User] Q: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A)  4/11\n(B)  1/2\n(C)  15/22\n(D)  150/11\n(E)  11/4 Let's give some random thoughts before answering.

[Assistant]
P1 takes 12 hrs\nRate for P2P3 together = 1/25 + 1/30 = 11/150\nTherefore they take 150/11\nRatio = 150/11 =
Therefore, the answer is (D).


[User] Question: A train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 42\n(C) 54\n(D) 66\n(E) 09 Random thoughts:

[Assistant] S = (150 + 320)/40 = 470/40 * 18/5 = 42 The final answer: (B).


[User] When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?\nOptions:\n(A) 1/5\n(B) 1/10\n(C) 1/12\n(D) 1/16\n(E) 1/32 OK. Let's think. Some random thoughts first:

[Assistant] Must be either 5 heads or 5 tails\n1/2*1/2*1/2*1/2*1/2 + 1/2*1/2*1/2*1/2*1/2\n1/32 + 1/32 = 1/16 The answer: (D).


[User] Give stream of consciousness and then the final answer. The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\nOptions:\n(A) 124 m2\n(B) 128 m2\n(C) 138 m2\n(D) 148 m2\n(E) None of these

[Assistant]
Area of the outer rectangle = 25 Ã— 16 = 400 m2\nArea of the inner rectangle = 21 Ã— 12 = 252 m2\nRequired area = (400 â€“ 252) = 148 m2
The final answer: (D).


[User] A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 229\n(B) 144\n(C) 278\n(D) 126\n(E) 112 Hmmm, my stream of consciousness:

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


[User] Give stream of consciousness and then the final answer. What is the difference between 80% of 170 and 35% of 300.\nOptions:\n(A) 30\n(B) 29\n(C) 37\n(D) 36\n(E) 31

[Assistant]
(80/100) * 170 â€“ (35/100) * 300\n136 - 105 = 31
The final answer: (E).


[User] An archer is shooting arrows from various distances. She shoots at a target from 50 yards, 60 yards, and 70 yards. The probability that she hits within the bullseye from 50 yards is 3/4, the probability that she hits within the bullseye from 60 yards is 2/3, and the probability that she hits within the bullseye from 70 yards is 3/5. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 9/10\n(B) 14/15\n(C) 19/20\n(D) 29/30\n(E) 39/40 Stream of consciousness first, then make a decision:

[Assistant]
The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\nThe probability that she misses every shot = (prob that she misses from 50 yards)*(prob that she misses from 60 yards)*(prob that she misses from 70 yards)\nProb that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5\nThus the probability that she misses all shots = (1/4)*(1/3)*(2/5) = 1/30\nThus the probability that she makes at least one shot = 1 - (1/30) = 29/30
Thus, the answer is (D).


[User]
Some question: A man walks at a speed of 2 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?\nOptions:\n(A) 4 5/2 hours.\n(B) 2 5/2 hours.\n(C) 3 5/2 hours.\n(D) 5 5/2 hours.\n(E) 8 5/2 hours.
Some stream of consciousness:

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


[User] Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is\nOptions:\n(A) 10/17\n(B) 10/19\n(C) 46/105\n(D) 11/15\n(E) Cannot be determined Now, let's think a bit. Some random thoughts:

[Assistant]
There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined.
The final answer: (E).


[User]
Student: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\nOptions:\n(A) 11\n(B) 12\n(C) 99\n(D) 75\n(E) 72.
Another student: Let's say, hmmm...

[Assistant] 1/8 + 1/24 = 1/6\n6 * 2 = 12 Final answer: (B).


[User] Question: During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\nOptions:\n(A) 9%\n(B) 10%\n(C) 11%\n(D) 15%\n(E) 90% Random thoughts:

[Assistant] Assume the price = 100\nPrice during sale = 87\nPrice after sale = 100\nPercent increase = 13/87*100 = 15% approx. The final answer: (D).


[User]
Student: 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 vowel, and each letter can be used only once?\nOptions:\n(A) 21\n(B) 42\n(C) 120\n(D) 600\n(E) 720.
Another student: Let's say, hmmm...

[Assistant] Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)\nFifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter\nSecond letter can be filled in 5 Ways\nThird letter can be filled in 4 Ways\nFourth letter can be filled in 3 Ways\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 3 ways x 1 ways = 120 Final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/4 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 17 1/8 min\n(E) 15 15/19 min

[Assistant]
1/20 + 1/30 - 1/50 = 19/300\n300/19 = 15 15/19
The answer: (E).


[User] In a locality, the prevailing price of a 700 square feet property last year was US Dollar 1000. The owner made some additions and the 900 square feet property is now fetching a price of US Dollar 1500. By approximately what percent did the ratio of price to size increase from the previous year's price?\nOptions:\n(A) 12\n(B) 14\n(C) 17\n(D) 21\n(E) 19 Stream of consciousness first, then make a decision:

[Assistant]
Initial price/area ratio = 1000/700 = 9000/6300\nRevised mileage/weight ratio = 1500/900 = 10500/6300
Thus, the answer is (C).


[User] Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?\nOptions:\n(A) 9 3/6\n(B) 9 3/4\n(C) 9 3/8\n(D) 5 3/2\n(E) 9 3/2 Let's think first. Stream of consciousness:

[Assistant]
1/15 + 1/25 = 8/75\n75/8 = 9 3/8 days
So, the answer is (C).


[User] A card shop contains 5 birthday cards, 4 holiday cards, and 3 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be graduation cards?\nOptions:\n(A) 1/33\n(B) 6/264\n(C) 1/44\n(D) 1/264\n(E) 1/1320 Now, let's think a bit. Some random thoughts:

[Assistant]
It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 3/12\nProbability of choosing 2nd card of the same type: 2/11\nProbability of choosing 3rd card of the same type: 1/10\nMultiply and you get 1/264
The final answer: (D).


[User] Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?\nA.\nB.\nC.\nD.\nE.\nOptions:\n(A) 8\n(B) 13\n(C) 16\n(D) 24\n(E) 27 Stream of consciousness first, then make a decision:

[Assistant]
Each group has 8 = 8+8+8 = 24 max\n4 people are in 2 groups, subtract 4 people twice as they are counted twice\nEach pair of groups has 5 in common, so in addition to the 4 people subtract 1 from each group\nAns: 8+8+8-(2(4)) - 3 = 13
Thus, the answer is (B).


[User] Q: Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?\nOptions:\n(A) 5 days\n(B) 6 days\n(C) 9 days\n(D) 10 days\n(E) None of these Let's give some random thoughts before answering.

[Assistant]
7 x 12 men complete the work in 1 day\nTherefore, 1 man’s 1 day’s work = 1/84\n7 men’s 5 days work = 5/12\nRemaining work = 1- 5/12 = 7/12\n5 men’s 1 day’s work = 5/84\n5/84 work is don by them in 1 day\n7/12 work is done by them in ((84/5) x (7/12)) = 49/5 days = 9 4/5 days
Therefore, the answer is (E).


[User] Question: What is the maximum number of pieces of birthday cake of size 10” by 10” that can be cut from a cake 20” by 20”?\nOptions:\n(A) 4\n(B) 10\n(C) 16\n(D) 20\n(E) 25 Random thoughts:

[Assistant] The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum). The final answer: (A).


[User]
Student: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 83 1/3%\n(D) 33 4/3%\n(E) 73 1/3%.
Another student: Let's say, hmmm...

[Assistant] P = (P*3*R)/100\nR = 33 1/3% Final answer: (B).


[User] Give a quick stream of consciousness before answering the following question. In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:\nOptions:\n(A) 10\n(B) 12\n(C) 30\n(D) 40\n(E) 20

[Assistant]
Dist = (100/45*9) = 20 m
The answer: (E).


[User] The length of a rectangle is increased by 15% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 1288\n(B) 1299\n(C) 1000\n(D) 10000\n(E) 9200 Hmmm, my stream of consciousness:

[Assistant] 100 * 100 = 10000\n115 * 80 = 9200 So, the answer is (E).


[User]
Student: There are five same model cars parked in the same direction in parking. If 3 cars are red, 1 is black and 1 is green, in how many ways they can be arranged in the parking?\nOptions:\n(A) 10 ways.\n(B) 20 ways.\n(C) 30 ways.\n(D) 40 ways.\n(E) 50 ways..
Another student: Let's say, hmmm...

[Assistant] 5!/(3!*1!*1!) = (5*4*3*2*1)/(3*2*1) = 120/6 = 20 ways. Final answer: (B).


[User]
Student: Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2 +4\n(D) x^2+9\n(E) x^2+4x.
Another student: Let's say, hmmm...

[Assistant] Avg = [(x+3)^2 + (x-3)^2] / 2\nExpanding and simplifying, (x^2 + 6x + 9 + x^2 - 6x + 9 ) / 2 = x^2 + 9 Final answer: (D).


[User] In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 5 sec\n(B) 4 sec\n(C) 3 sec\n(D) 6 sec\n(E) 2 sec Stream of consciousness first, then make a decision:

[Assistant]
T = 20/36 * 18/5 = 2 sec
Thus, the answer is (E).


[User] Give a quick stream of consciousness before answering the following question. At what rate percent on simple interest will a sum of money double itself in 70 years?\nOptions:\n(A) 1 3/7%\n(B) 3 1/9%\n(C) 3 9/3%\n(D) 3 2/3%\n(E) 3 6/3%

[Assistant]
P = (P*70*R)/100\nR = 1 3/7%
The answer: (A).


[User] The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 7\n(E) 9 Stream of consciousness:

[Assistant]
If the number is divisible by 9, it must also be divisible by 3. Only 7 yields such a number.
Thus, the answer is (D).


[User] If the cost price of 50 articles is equal to the selling price of 35 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 43 Stream of consciousness:

[Assistant]
Percentage of profit = 15/35 * 100 = 43%
Thus, the answer is (E).


[User] Find the odd man out\n253, 136, 352, 324, 631, 244\nOptions:\n(A) 324\n(B) 136\n(C) 352\n(D) 631\n(E) 531 Stream of consciousness first, then make a decision:

[Assistant]
The sum all three digits comes to 10 except 324
Thus, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 3 sec\n(B) 4 sec\n(C) 5 sec\n(D) 6 sec\n(E) 7 sec

[Assistant]
T = 40/36 * 18/5 = 4 sec
The answer: (B).


[User] Q: There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.\nOptions:\n(A) Sudhir had 34 cars, Arvind had 21 cars and Gauri had 12 cars.\n(B) Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.\n(C) Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.\n(D) Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.\n(E) Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars. Let's give some random thoughts before answering.

[Assistant]
Sudhir Arvind Gauri\nFinally 24 24 24\nBefore Gauri’s transaction 12 12 48\nBefore Arvind’s transaction 6 42 24\nBefore Sudhir’ s transaction 39 21 12
Therefore, the answer is (C).


[User] If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/6 %\n(B) 22 8/2 %\n(C) 25 1/2 %\n(D) 22 1/2 %\n(E) 22 5/2 % OK. Let's think. Some random thoughts first:

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


[User] Give a quick stream of consciousness before answering the following question. In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?\nOptions:\n(A) 75\n(B) 40\n(C) 15\n(D) Cannot be determined\n(E) None of these

[Assistant]
Houses containing only one person = 100 – 40 = 60%\nHouses containing only a male = 60 × 25⁄100 = 15%\n∴ Houses containing only one female = 60 – 15 = 45%
The answer: (E).


[User] Use some thinking to answer the following question. In a race with 30 runners where 4 trophies will be given to the top 6 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) 6^4 ways\n(D) 8^7 ways\n(E) 8^6 ways

[Assistant] 6 people can be prized with 4 distinct prizes in 6^4 ways So the final answer is (C).


[User] Use some thinking to answer the following question. A certain league has three divisions. The respective divisions had 8, 10, and 11 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)  51\n(B)  52\n(C)  54\n(D)  56\n(E)  57

[Assistant] Overall, there can be 57 minuses. Tus, it is So the final answer is (E).


[User] Divide Rs.32000 in the ratio 3:7?\nOptions:\n(A) 12000, 20000\n(B) 9600, 22400\n(C) 12000, 20007\n(D) 12000, 20006\n(E) 12000, 20001 Hmmm, my stream of consciousness:

[Assistant] 3/10 * 32000 = 9600\n7/8 * 32000 = 22400 So, the answer is (B).


[User] The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?\nOptions:\n(A) 40%\n(B) 8%\n(C) 25%\n(D) 16.66%\n(E) 9% Stream of consciousness first, then make a decision:

[Assistant]
Original cost before weight adjustment: X\nCost after 90% weight adjustment: 9/10 X\n20% profit on 9/10X: (120/100)(9/10)(X) or 108X/100\nMark up on original cost of X: (108X/100)/X-1 = 8/100
Thus, the answer is (B).


[User] Give stream of consciousness and then the final answer. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:\nOptions:\n(A) 553681\n(B) 555181\n(C) 555681\n(D) 556581\n(E) 556881

[Assistant]
987 = 3 x 7 x 47\nSo, the required number must be divisible by each one of 3, 7, 47\n553681->(Sum of digits = 28, not divisible by 3)\n555181->(Sum of digits = 25, not divisible by 3)\n555681 is divisible by 3, 7, 47
The final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?\nOptions:\n(A) 287 sec\n(B) 89 sec\n(C) 48 sec\n(D) 16 sec\n(E) 17 sec

[Assistant]
D = 580 + 280 = 800\nS = 34 * 5/18 = 9 mps\nT = 800/9 = 89 sec
The answer: (B).


[User] A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.12350. Find the share of A?\nOptions:\n(A) 3002\n(B) 3000\n(C) 3018\n(D) 4000\n(E) 5000 OK. Let's think. Some random thoughts first:

[Assistant] 60*5:36*6:75*3\n100: 72: 75\n100/247 * 12350 = 5000 The answer: (E).


[User] A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line)\nOptions:\n(A) 150 km\n(B) 200 km\n(C) 250 km\n(D) 125 km\n(E) 155 km Let's think first. Stream of consciousness:

[Assistant]
P___50_____ R ___50_____S____50 ___Q\nThe above figure gives the locations of P, R, S &Q in relation to each other.
So, the answer is (A).


[User] Question: If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =\nOptions:\n(A)  5040\n(B)  2520\n(C)  1890\n(D)  1260\n(E)  630 Random thoughts:

[Assistant] The integer should be divisible by: 2, 3, 4, 5, 6, 7, 8 and 9, that is 2, 3, 2^2, 5, 2*3, 7, 2^3 and 3^2. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, L/2 is (7 * 5 * 3^2 * 2^3)/2 = 7*5*9*4 = 1260. The final answer: (D).


[User]
Student: A wheel rotates 20 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 360 metre\n(B) 12 metre\n(C) 320 metre\n(D) 1200 metre\n(E) 260 metre.
Another student: Let's say, hmmm...

[Assistant] Number of times wheel moves in 1 hour = 20 * 30 = 1200\n:. Distance moves = (1200*30) cms = 36000 cms\nIn metres = 360 metre Final answer: (A).


[User] An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible?\nOptions:\n(A) 12\n(B) 460\n(C) 60\n(D) 450\n(E) 720 OK. Let's think. Some random thoughts first:

[Assistant] 6C2 * 5C2 * 3C1 = 15*10*3 = 450. The answer: (D).


[User]
Student: Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?\nOptions:\n(A) 0\n(B) 2\n(C) 4\n(D) 6\n(E) 8.
Another student: Let's say, hmmm...

[Assistant] On dividing 724946 by 10 we get the remainder 6, so 6 should be subtracted Final answer: (D).


[User] Give a quick stream of consciousness before answering the following question. Calculate the value of n from the below equation: n^3âˆ’10n+20=44\nOptions:\n(A) 1\n(B) 5\n(C) 3\n(D) 2\n(E) 4

[Assistant]
Use elimination method to find the correct option. you find that of all the options when 4 is the correct value for n
The answer: (E).


[User] The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50 Hmmm, my stream of consciousness:

[Assistant] No of people from 10 - 11 is x\nNo of people from 11 - 12 is 4x/5\nNo of people from 12 to 1 is (13/10)(4x/5)\nGiven that 4x/5 + (13/10)(4x/5) = 92x/50 = 92\nThen x = 50 So, the answer is (E).


[User] Q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 7800\n(E) 1268 Let's give some random thoughts before answering.

[Assistant]
A = 7500(26/25)^1 = 7800
Therefore, the answer is (D).


[User] Question: The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?\nOptions:\n(A) 20\n(B) 22\n(C) 25\n(D) 18\n(E) 24 Random thoughts:

[Assistant] The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108\nSo, the middle number is (126 - 108 ) = 18 The final answer: (D).


[User] Question: A pipe can fill a cistern in 14 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 16\n(C) 28\n(D) 13\n(E) 12 Let's think first. Some random reasoning:

[Assistant] 1/14 - 1/28 = 1/28\n28 minutes The final answer: (C).


[User] Give stream of consciousness and then the final answer. A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 3000, then his salary per month in rupees is:\nOptions:\n(A) 20000\n(B) 6000\n(C) 8000\n(D) 10000\n(E) None of these

[Assistant]
Total expenditure = 40 + 25 + 15 + 5 = 85%\nSaving = (100 - 85) = 15%\n15/100 × Salary = 3000, Salary = 20000 Rs.
The final answer: (A).


[User] A family pays $900 per year for an insurance plan that pays 80 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) $1,300\n(D) $1,800\n(E) $2,200 Think first, then make a decision. Some random thoughts:

[Assistant] Upfront payment for insurance plan = 900$\nFamily needs to pay 20 % of first 1000 $ in expense = 200$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 900 + 200 = 1100 $\nTotal amount paid by insurance plan for first 1000 $ = 900 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1300 $\n(Since insurance plan will pay 100% of amount that exceeds 1100$ ) So the answer is (C).


[User] Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 360 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 3/8\n(C) 8/5\n(D) 5/8\n(E) 20/9 Think first, then make a decision. Some random thoughts:

[Assistant] Distance traveled by Eddy = 600 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 600/3 = 200 km/hour\nDistance traveled by Freddy = 360 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 360/4 = 90 km/hour\nRatio of average speed of Eddy to Freddy = 200/90 = 20/9 So the answer is (E).


[User] Give a quick stream of consciousness before answering the following question. How many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 65 sec\n(C) 25 sec\n(D) 45 sec\n(E) 27 sec

[Assistant]
D = 100 + 170 = 270\nS = 36 * 5/18 = 10 mps\nT = 270/10 = 27 sec
The answer: (E).


[User]
Student: For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 99 Θ (33 Θ 17)) ?\nOptions:\n(A) 10\n(B) 8\n(C) 6\n(D) 4\n(E) 2.
Another student: Let's say, hmmm...

[Assistant] (( 90 Θ 33 ) Θ 17 )\nThe remainder of 90 divided by 33 is 24;\nThe remainder of 24 divided by 17 is 7;\n( 99 Θ (33 Θ 17))\nThe remainder of 33 divided by 17 is 16;\n7 - 3 = 4. Final answer: (D).


[User]
Student: What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?\nOptions:\n(A) 2345\n(B) 4500\n(C) 5000\n(D) 6000\n(E) 7000.
Another student: Let's say, hmmm...

[Assistant] 2000 + 300 + 40 + 5 = 2345 Final answer: (A).


[User] Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 91 players took part in that tournament. How many matches were played?\nOptions:\n(A) 90 matches\n(B) 95 matches\n(C) 99 matches\n(D) 85 matches\n(E) 87 matches Let's think first. Some random reasoning:

[Assistant] A 90 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 90 matches were played. The final answer: (A).


[User] How many factors does 34^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 20\n(D) 25\n(E) 26 Now, let's think a bit. Some random thoughts:

[Assistant]
36^2 = 6*6*6*6 = 2^4*3^4\nTotal factors = (4+1)*(4+1) = 5*4 = 20
The final answer: (C).


[User] An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks?\nOptions:\n(A) 210\n(B) 350\n(C) 110\n(D) 120\n(E) 840 Now, let's think a bit. Some random thoughts:

[Assistant]
Number of ways of ch0osing 4 stocks = 5C4\nNumber of ways of ranking the chosen stocks = 4!\nHence total ways of chosing and ranking = 5C4 * 4! = 120
The final answer: (D).


[User] Question: A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 16\n(C) 70\n(D) 14\n(E) 12 Let's think first. Some random reasoning:

[Assistant] 1/7 - 1/14 = 1/14\n14 minutes The final answer: (D).


[User] Question: If there are 4 seats and two students, in how many ways can they be seated?\nOptions:\n(A) 12\n(B) 6\n(C) 8\n(D) 16\n(E) 10 Let's think first. Some random reasoning:

[Assistant] No. of ways of choosing 2 chairs out of 4 chairs on which two students will sit = 4C2 = 6\nNo. of ways of 2 people sitting on selected chairs = 2!\nTotal ways of making 2 people sit on 2 of 4 chairs = 4C2*2! = 6*2 = 12 The final answer: (A).


[User] In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?\nOptions:\n(A) 23\n(B) 277\n(C) 18\n(D) 178\n(E) 181 Stream of consciousness first, then make a decision:

[Assistant]
Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89
Thus, the answer is (B).


[User] Use some thinking to answer the following question. In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?\nOptions:\n(A) 22\n(B) 20\n(C) 25\n(D) 30\n(E) 35

[Assistant] T = (100 * 16500)/(15 * 5000) = 22 years So the final answer is (A).


[User] How should be added in order to make 2345672 this number is divisible by 9?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 9 OK. Let's think. Some random thoughts first:

[Assistant] Sum of the numbers 2345672 is 29 which is not multiple of 9\nAdd 7 which makes the sum 36 which is multiple of 9\nSo digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9) The answer: (C).


[User] In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 5 sec\n(B) 4 sec\n(C) 3 sec\n(D) 6 sec\n(E) 1 sec Think first, then make a decision. Some random thoughts:

[Assistant] T = 30/36 * 18/5 = 3 se So the answer is (C).


[User] If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 8436\n(E) 1268 Now, let's think a bit. Some random thoughts:

[Assistant]
A = 7500(26/25)^3 = 8436
The final answer: (D).


[User]
Some question: The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?\nOptions:\n(A) 47\n(B) 45\n(C) 25\n(D) 37\n(E) 44
Some stream of consciousness:

[Assistant] The total of thirteen numbers = 13X9 = 117\nThe total of first 6 and last 6 numbers is = 6 X 5+6 X 7 = 72\nSo, the middle number is (117 - 72 ) = 45 The answer: (B).


[User] 8, 27, 64, 100, 125, 216, 343\nOptions:\n(A) 40\n(B) 100\n(C) 290\n(D) 102\n(E) 293 Hmmm, my stream of consciousness:

[Assistant] The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube. So, the answer is (B).


[User] If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  21\n(D)  23\n(E)  25 3/10 Stream of consciousness:

[Assistant]
K + 2K +3 + 4K - 4 + 5K +1 = 12K\n(12K)/4 = 63\n12K = 63 * 4 = 252\nK = 252 / 12 = 21
Thus, the answer is (C).


[User] The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) s. 25.6\n(B) s. 45/2\n(C) s. 16.6\n(D) s. 26\n(E) s. 25/2 Hmmm, my stream of consciousness:

[Assistant] Total members in the group = 7\nAverage amount = Rs. 30\nTotal amount with them = 7 * 30 = Rs. 210\nOne number has Rs. 50. So, the amount with remaining 6 people = 210 - 75 = Rs. 135\nThe average amount with them = 135/6 = Rs. 45/2 So, the answer is (B).


[User] Use some thinking to answer the following question. Which one of the following is a prime number?\nOptions:\n(A) 55\n(B) 2\n(C) 74\n(D) 25\n(E) 21

[Assistant] 2 is divisible by 1 and itself So, it is a prime number. So the final answer is (B).


[User]
Student: A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :\nOptions:\n(A) 1 kmph\n(B) 2 kmph\n(C) 3 kmph\n(D) 2.5 kmph\n(E) 3.5 kmph.
Another student: Let's say, hmmm...

[Assistant] Rate upstream = (1/20 *60) = 3 kmph\nRate dowm stream = 1/12 * 60 = 5 kmph\nRate of the current = ½ (5-3) = 1 kmph Final answer: (A).


[User] Give stream of consciousness and then the final answer. Find the odd man out\n253, 136, 352, 323, 631, 244\nOptions:\n(A) 323\n(B) 136\n(C) 352\n(D) 631\n(E) 531

[Assistant]
The sum all three digits comes to 10 except 323
The final answer: (A).


[User] Question: At a meeting of the 5 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 5 Chiefs of Staff be seated around a circular table?\nOptions:\n(A) 120\n(B) 480\n(C) 960\n(D) 2520\n(E) 5040 Random thoughts:

[Assistant] Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer D (2520), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The final answer: (D).


[User]
Some question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 25?\nOptions:\n(A) 19\n(B) 20\n(C) 32\n(D) 41\n(E) 53
Some stream of consciousness:

[Assistant] (1056 / 25) gives remainder 6\n19 + 6 = 23, So we need to add 19 The answer: (A).


[User]
Student: 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 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 511\n(B) 546\n(C) 552\n(D) 562\n(E) 570.
Another student: Let's say, hmmm...

[Assistant] Number of newborns that can die in first month = 1/10 * 700 = 70\nSurvived = 630\nNumber of newborns that can die in second month = 1/10 * 630 = 63\nSurvived = 567\nNumber of newborns that can die in third month = 1/10 * 567 = 56\nSurvived = 511 Final answer: (A).


[User] If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\nOptions:\n(A) 198\n(B) 288\n(C) 363\n(D) 360\n(E) 484 Stream of consciousness first, then make a decision:

[Assistant]
I will go with D (pending elements to match is 2^2*3^2*10^1 = 360
Thus, the answer is (D).


[User]
Some question: A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.\nOptions:\n(A) 36kmph\n(B) 42kmph\n(C) 48kmph\n(D) 52kmph\n(E) 64kmph
Some stream of consciousness:

[Assistant] In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train\nIn 30 sec the train travels a distance of 300 mtrs\nSpeed = 300/30 = 10 m/s = 10 * 18/5 = 36 kmph The answer: (A).


[User] Question: 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) 80,30 kmph\n(B) 80,20 kmph\n(C) 80,10 kmph\n(D) 80,40 kmph\n(E) 80,90 kmph Random thoughts:

[Assistant] Speed downstream = 60 + 20 = 80 kmph\nSpeed upstream = 60 - 20 = 40 kmph The final answer: (D).


[User] A 125 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?\nOptions:\n(A) 229\n(B) 108\n(C) 278\n(D) 126\n(E) 90 Stream of consciousness first, then make a decision:

[Assistant]
S = 125/5 * 18/5 = 90 kmph
Thus, the answer is (E).


[User] A marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?\nOptions:\n(A) 1/68\n(B) 60/68\n(C) 13/68\n(D) 13/48\n(E) 1/48 Stream of consciousness first, then make a decision:

[Assistant]
It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 1\nProbability of choosing 2nd card of the same type: 5/17\nProbability of choosing 3rd card of the same type: 4/16\nProbability of choosing 4th marble of the same type: 3/15\nMultiply and you get 1/68
Thus, the answer is (A).


[User]
Some question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?\nOptions:\n(A) 20%\n(B) 25%\n(C) 18%\n(D) 50%\n(E) none of these
Some stream of consciousness:

[Assistant] Here, l = 8 and m = 16\nTherefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number The answer: (D).


[User] Question: A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?\nOptions:\n(A) 1/3\n(B) 1/6\n(C) 1/27\n(D) 1/243\n(E) 1/486 Random thoughts:

[Assistant] For each digit there are six possibilities. Two of them (3 and 6) are divisible by three, so there is a one in three chance for each digit, and since the digits are independent of each other, overall probability is 1 / 3^5 or The final answer: (D).


[User]
Some question: A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?\nOptions:\n(A) 26 sec\n(B) 39 sec\n(C) 36 sec\n(D) 29 sec\n(E) 30 sec
Some stream of consciousness:

[Assistant] Time taken to cross a moving person = length of train/ relative speed\nTime taken = 390/((45-9) (5/18) = 390/ 36*(5/18) = 390/10 = 39 sec The answer: (B).


[User] Q: 100 is increased by 50%. Find the final number.\nOptions:\n(A) 100\n(B) 110\n(C) 150\n(D) 155\n(E) 160 Let's give some random thoughts before answering.

[Assistant]
Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.
Therefore, the answer is (C).


[User] When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails?\nOptions:\n(A) 1/8\n(B) 1/4\n(C) 1/16\n(D) 1/32\n(E) 1/2 OK. Let's think. Some random thoughts first:

[Assistant] Must be twice on heads and twice on tails\n1/2*1/2*1/2*1/2 = 1/16 The answer: (C).


[User] Give stream of consciousness and then the final answer. An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?\nOptions:\n(A) 180\n(B) 345\n(C) 234\n(D) 488\n(E) 234

[Assistant]
Angle traced by the hour hand in 6 hours = (360)/12x 6º = 180º.
The final answer: (A).