[User] Of the families in City X in 1991, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 20 percent greater than it was in 1991, and the total number of families in City X was 9 percent greater in 1993 than it was in 1991. what percent of the families in City X owned a personal computer in 1993?\nOptions:\n(A) 59%\n(B) 55%\n(C) 63%\n(D) 66%\n(E) 68% Now, let's think a bit. Some random thoughts:

[Assistant]
Say a 100 families existed in 1991 then the number of families owning a computer in 1991 - 60\nNumber of families owning computer in 1993 = 60 * 120/100 = 72\nNumber of families in 1993 = 109\nThe percentage = 72/109 * 100 = 66%.
The final answer: (D).


[User] John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 60% Hmmm, my stream of consciousness:

[Assistant] Increase = (30/50)*100 = (3/5)*100 = 60%. So, the answer is (E).


[User] 16,25,36,72,144,196,225\nOptions:\n(A) 36\n(B) 196\n(C) 225\n(D) 144\n(E) 72 Let's think first. Stream of consciousness:

[Assistant]
Each of the numbers except 72 is a perfect squar
So, the answer is (E).


[User]
Some question: Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^9\n(B) 2^14\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10
Some stream of consciousness:

[Assistant] Fix the third coin as H. The remaining 14 coins have 2^14 outcomes. The answer: (B).


[User] Give a quick stream of consciousness before answering the following question. An equity analyst needs to select 2 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 2 picks?\nOptions:\n(A) 20\n(B) 30\n(C) 10\n(D) 40\n(E) 80

[Assistant]
Number of ways of choosing 2 stocks = 5C2\nNumber of ways of ranking the chosen stocks = 2!\nHence total ways of chosing and ranking = 5C2 * 2! = 20
The answer: (A).


[User] Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 28\n(C) 299\n(D) 277\n(E) 21 Random thoughts:

[Assistant] S = (100 + 300)/45 = 400/45 * 18/5 = 32 The final answer: (A).


[User] Give a quick stream of consciousness before answering the following question. How much more would Rs.20000 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) 887\n(C) 299\n(D) 277\n(E) 200

[Assistant]
20000(11/10)4 - 20000(6/5)2 = 482
The answer: (A).


[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 15% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:\nOptions:\n(A) 4000\n(B) 24000\n(C) 8000\n(D) 10000\n(E) None of these

[Assistant]
Total expenditure = 40 + 25 + 15 + 15 = 95%\nSaving = (100 - 95) = 5%\n5/100 × Salary = 1200, Salary = 24000 Rs.
The final answer: (B).


[User] Two trains are moving at 50 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) 7 1/2 sec\n(B) 2 sec\n(C) 3 sec\n(D) 5 sec\n(E) 7 sec Hmmm, my stream of consciousness:

[Assistant] 70 + 50 = 120 * 5/18 = 100/3 mps\nD = 150 + 100 = 250 m\nT = 250 * 3/100 = 15/2 = 7 Â½ sec So, the answer is (A).


[User]
Some question: The average of first 13 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14
Some stream of consciousness:

[Assistant] Sum of 13 even numbers = 13 * 14 = 110\nAverage = 182/13 = 14 The answer: (E).


[User] A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220040 Think first, then make a decision. Some random thoughts:

[Assistant] (555 + 445) * 2 * 110 + 40 = 220000 + 40 = 220040 So the answer is (E).


[User] If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 8774\n(E) 1268 Stream of consciousness:

[Assistant]
A = 7500(26/25)^4 = 8774
Thus, the answer is (D).


[User] Question: 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 510 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 3/8\n(C) 8/5\n(D) 5/8\n(E) 34/15 Let's think first. Some random reasoning:

[Assistant] Distance traveled by Eddy = 510 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 510/3 = 170 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 170/75 = 34/15 The final answer: (E).


[User] Before lunch, a painter can paint a wall at a rate of r square feet per minute. The same painter, after lunch and a cup of coffee, can paint the same wall at a rate r + 1 square feet per minute, and the same wall would be finished in 30 seconds less time. What is the value of r?\nOptions:\n(A) 1/3\n(B) 3\n(C) 1/2\n(D) 1\n(E) 2 Think first, then make a decision. Some random thoughts:

[Assistant] Convert 30 seconds to 1/2 minute\nEquation: 1/r = 1/(r + 1) + 1/2\nPlug options into the equation:\nD fits: 1/1 = 1/(1 + 1) + 1/2 So the answer is (D).


[User] Interest Rate: 4% monthly Starting Balance: 124 Time Passed: 4 months How much interest has accrued if calculated as compound interest? What is the new total balance?\nOptions:\n(A) 21 & 145\n(B) 22 & 146\n(C) 23 & 145\n(D) 20 & 140\n(E) None Stream of consciousness first, then make a decision:

[Assistant]
Compound Interest: Total Balance = P(1 + R)T P = principle = starting balance = $124 R = interest rate = 4% T = time = 4 years Total balance = principle × (1 + interest rate)time = 124 × (1 + (4 / 100))4 = 145 Interest accrued = total balance - starting balance = 145 - 124 = 21
Thus, the answer is (A).


[User]
Student: The average of first 18 even numbers is?\nOptions:\n(A) 19\n(B) 18\n(C) 16\n(D) 11\n(E) 17.
Another student: Let's say, hmmm...

[Assistant] Sum of 18 even numbers = 18 * 19 = 342\nAverage = 342/18 = 19 Final answer: (A).


[User] In the following equation what value would come in place of question mark (?)?\n5798 – ? = 7385 – 4632\nOptions:\n(A) 3225\n(B) 2595\n(C) 2775\n(D) 3045\n(E) None of these above OK. Let's think. Some random thoughts first:

[Assistant] ? = 5798 + 4632 – 7385 = 3045 The answer: (D).


[User] Question: A wheel rotates 15 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 6 metre\n(B) 12 metre\n(C) 120 metre\n(D) 315 metre\n(E) 130 metre Random thoughts:

[Assistant] Number of times wheel moves in 1 hour = 15 * 60 = 900\n:. Distance moves = (900 *35) cms = 31500 cms\nIn metres = 315 metre The final answer: (D).


[User] What will come in place of the x in the following Number series? 68, 36, 20, 12, 8, x\nOptions:\n(A) 6\n(B) 4\n(C) 2\n(D) 1\n(E) 0 Stream of consciousness:

[Assistant]
68\n68 / 2 + 2 = 36\n36 / 2 + 2 = 20\n20 / 2 + 2 = 12\n12 / 2 + 2 = 8\n8 / 2 + 2 = 6
Thus, the answer is (A).


[User] Give stream of consciousness and then the final answer. How much more would Rs.20000 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) Rs.482\n(B) Rs.424\n(C) Rs.842\n(D) Rs.512\n(E) Rs.524

[Assistant]
20000(11/10)4 - 20000(6/5)2 = 482
The final answer: (A).


[User] Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?\nOptions:\n(A) $150\n(B) $175\n(C) $200\n(D) $210\n(E) $220 Hmmm, my stream of consciousness:

[Assistant] Amount at end of 2 years = 240$\nAmount at end of 5 years = 300$\nDifference in amount for time period of 3 years = 60$\nAnnual Interest earned = 60/3 = 20$\nPrincipal amount invested at the beginning = 240 - 2*20 = 200$ So, the answer is (C).


[User] Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?\nOptions:\n(A) Rs.1185\n(B) Rs.1285\n(C) Rs.1385\n(D) Rs.1485\n(E) Rs.1495 Stream of consciousness first, then make a decision:

[Assistant]
22/7 * 14 * 3/2 * 3/2 = 99 m2\n99 * 15 = 1485
Thus, the answer is (D).


[User]
Some question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 180\n(E) 720
Some stream of consciousness:

[Assistant] 5C2 * 4C2 * 3C2 = 10*6*3 = 180. The answer: (D).


[User] A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?\nOptions:\n(A) 7\n(B) 13\n(C) 19\n(D) 10\n(E) None Stream of consciousness first, then make a decision:

[Assistant]
1/6 â€“ 1/15 = 1/10\nB can do the work in 10 days
Thus, the answer is (D).


[User] Q: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 125\n(B) 627\n(C) 153\n(D) 721\n(E) 159 Let's give some random thoughts before answering.

[Assistant]
44 + 28 + 10 = 82%\n100 – 82 = 18%\n850 * 18/100 = 153
Therefore, the answer is (C).


[User] A = 10% of x, B = 10% of y, C = 10% of x + 10% of y. On the basis of the above equalities, what is true in the following?\nOptions:\n(A) A is equal to B\n(B) A is greater than B\n(C) B is greater than A\n(D) Relation cannot be established between A and B\n(E) None of these OK. Let's think. Some random thoughts first:

[Assistant] The given information gives no indication regarding the comparison of x and y. The answer: (D).


[User] Use some thinking to answer the following question. In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many metres will A beat C in a race of 400 metres?\nOptions:\n(A) 76 metres\n(B) 80 metres\n(C) 70 metres\n(D) 84 metres\n(E) None

[Assistant] A runs B runs C runs\n600 metres race 600m 540 m\n500 metres race 500 m 450m\nCombing ratio A runs B runs C runs\n300metres - 2700meters - 2430metres\nUnitary A runs B runs C runs\nMethod 400mtres - 360 metres - 324 metres\n? A beats C by 400-324 = 76 metres. So the final answer is (A).


[User]
Student: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?\nOptions:\n(A) 5/18\n(B) 1/6\n(C) 1/4\n(D) 1/9\n(E) 2/6.
Another student: Let's say, hmmm...

[Assistant] A's one day's work = 1/30\nB's one day's work = 1/45\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\nThe part of the work completed in 5 days = 5 (1/18) = 5/18. Final answer: (A).


[User] Use some thinking to answer the following question. Which is greater than 99?\nOptions:\n(A) 9\n(B) 99\n(C) 9.9\n(D) 999\n(E) 909

[Assistant] 999 greater than 99. So the final answer is (D).


[User] If 21 WOMen and 12 men can finish the work in 42 days.How many men should accompany 42 women to that the work will be completed in ten and half days???\nOptions:\n(A) 40\n(B) 45\n(C) 50\n(D) 60\n(E) 15 Think first, then make a decision. Some random thoughts:

[Assistant] 15 men using chain rul So the answer is (E).


[User]
Student: A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\nOptions:\n(A) 24.\n(B) 32.\n(C) 36\n(D) 42.\n(E) 44..
Another student: Let's say, hmmm...

[Assistant] Let the time taken be = x\nOne way distance = 48x\nTotal distance traveled = 2 * 48x = 96x\nTotal time taken = x + 2x = 3x\nAverage speed = 96x/3x = 32 Final answer: (B).


[User] The average of 11 results is 55, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 4\n(B) 5\n(C) 7\n(D) 8\n(E) 9 Stream of consciousness:

[Assistant]
1 to 11 = 11 * 55 = 605\n1 to 5 = 5 * 49 = 245\n5 to 11 = 7 * 52 = 364\n5th = 245 + 364 – 605 = 4
Thus, the answer is (A).


[User] Use some thinking to answer the following question. A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 360 m long?\nOptions:\n(A) 30 Seconds\n(B) 22 Seconds\n(C) 41 Seconds\n(D) 24 Seconds\n(E) 29 Seconds

[Assistant] 30 Seconds\nDistance travelled = 140 + 360m = 500m\nSpeed = 60 * 5/8 = 50/3m\nTime = 500 * 3/50 = 30 Seconds So the final answer is (A).


[User] An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 39/40\n(B) 49/50\n(C) 59/60\n(D) 9/10\n(E) 14/15 Stream of consciousness first, then make a decision:

[Assistant]
The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\nThe probability that she misses every shot = (prob that she misses from 40 yards)*(prob that she misses from 50 yards)*(prob that she misses from 60 yards)\nProb that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3\nThus the probability that she misses all shots = (1/5)*(1/4)*(1/3) = 1/60\nThus the probability that she makes at least one shot = 1 - (1/60) = 59/60
Thus, the answer is (C).


[User] Give stream of consciousness and then the final answer. A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?\nOptions:\n(A) 150\n(B) 872\n(C) 287\n(D) 200\n(E) 212

[Assistant]
Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 12 = 200 meter
The final answer: (D).


[User] Question: A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14?\nOptions:\n(A) 16\n(B) 17\n(C) 18\n(D) 19\n(E) 20 Let's think first. Some random reasoning:

[Assistant] 142 + 110 = 252/14 = 18 (Remainder) The final answer: (C).


[User] A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?\nOptions:\n(A) 2 2/3\n(B) 2 2/8\n(C) 2 2/0\n(D) 2 2/2\n(E) 2 2/11 Stream of consciousness first, then make a decision:

[Assistant]
Work done by all three of them in one day = 1/4 + 1/8 + 1/12 = 11/24\nThe number of days required = 24/11 = 2 2/11 days.
Thus, the answer is (E).


[User] Q: A man rows his boat 75 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) 6 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph Let's give some random thoughts before answering.

[Assistant]
Speed downstream = d/t = 75/(2 1/2) = 30 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (30 - 18)/2 = 6 kmph
Therefore, the answer is (B).


[User] Give stream of consciousness and then the final answer. A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?\nOptions:\n(A) 24\n(B) 120\n(C) 625\n(D) 720\n(E) 1024

[Assistant]
5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways.
The final answer: (C).


[User]
Some question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 340 m long?\nOptions:\n(A) 56 sec\n(B) 42 sec\n(C) 45 sec\n(D) 48 sec\n(E) 50 sec
Some stream of consciousness:

[Assistant] Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 340 = 700 m\nRequired time = 700 * 2/25 = 56 sec The answer: (A).


[User] Find the product of the localvalue and absolutevalue of 1 in 20168?\nOptions:\n(A) 100\n(B) 110\n(C) 151\n(D) 120\n(E) 140 Stream of consciousness first, then make a decision:

[Assistant]
Local value of 1 = 1 x 100 = 100\nPlace value of 1 = 1\nThere fore = 1 x 100 = 100
Thus, the answer is (A).


[User] A car finishes a journey in nine hours at the speed of 80 km/hr. If the same distance is to be covered in six hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 40 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) None of these Now, let's think a bit. Some random thoughts:

[Assistant]
Distance covered by the car = 80 × 9 = 720 km\n\ Speed = 720⁄6 = 120 km/hr\n\ Speed gain = 120 – 80 = 40 km/hr
The final answer: (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) 4 sec\n(B) 5 sec\n(C) 6 sec\n(D) 7 sec\n(E) 8 sec Hmmm, my stream of consciousness:

[Assistant] 70 + 80 = 150 * 5/18 = 125/3 mps\nD = 150 + 100 = 250 m\nT = 250 * 3/125 = 6 se So, the answer is (C).


[User] Question: If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?\nOptions:\n(A) $3500\n(B) $5000\n(C) $4240\n(D) $7000\n(E) $10000 Let's think first. Some random reasoning:

[Assistant] Saving = (42-32)% of 42400 = 4240. The final answer: (C).


[User] Give stream of consciousness and then the final answer. Calculate the largest 6 digit number which is exactly divisible by 55?\nOptions:\n(A) 999955\n(B) 999900\n(C) 999845\n(D) 999790\n(E) 999735

[Assistant]
Largest 4 digit number is 999999\nAfter doing 999999 ÷ 55 we get remainder 44\nHence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955
The final answer: (A).


[User]
Some question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 1/4\n(C) 3/10\n(D) 1/5\n(E) 1/10
Some stream of consciousness:

[Assistant] 10 + 10 + 55 = 75% 100 - 75 = 25% to all others The answer: (B).


[User] If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?\nOptions:\n(A) $3500\n(B) $5000\n(C) $3150\n(D) $7000\n(E) $10000 Now, let's think a bit. Some random thoughts:

[Assistant]
Saving = (40-33)% of 45000 = 3150.
The final answer: (C).


[User] If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?\nOptions:\n(A) 52\n(B) 58\n(C) 84\n(D) 94\n(E) 168 Stream of consciousness:

[Assistant]
6x = 8y = 10z\n3x = 4y = 5z\n3(4*5) = 4(3*5) = 5(3*4)\nAddition = 20+15+12 = 47\nAnswer would be multiple of 47 which is 94
Thus, the answer is (D).


[User] Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\nOptions:\n(A) 1/19\n(B) 1/11\n(C) 1/12\n(D) 1/17\n(E) 1/14 Random thoughts:

[Assistant] A's 1 hour work = 1/4;\n(B + C)'s 1 hour work = 1/3;\n(A + C)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\nB's 1 hour work = (7/12 + 1/2) = 1/12\nB alone will take 12 hours to do the work. The final answer: (C).


[User] A train 560 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 126 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 71 kmph\n(E) 88 kmph Stream of consciousness first, then make a decision:

[Assistant]
S = 560/16 * 18/5 = 126 kmph
Thus, the answer is (A).


[User] A train 500 meters long is running with a speed of 44 kmph. The time taken by it to cross a tunnel 230 meters long is?\nOptions:\n(A) 287 sec\n(B) 288 sec\n(C) 48 sec\n(D) 61 sec\n(E) 17 sec Stream of consciousness:

[Assistant]
D = 500 + 230 = 730\nS = 44 * 5/18 = 12 mps\nT = 730/12 = 61 sec
Thus, the answer is (D).


[User] Give stream of consciousness and then the final answer. A train 310 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) 36 sec\n(E) 60 sec

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 310 + 140 = 450 m\nRequired time = 450 * 2/25 = 36 sec
The final answer: (D).


[User] Question: How much is 25% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 10\n(B) 776\n(C) 66\n(D) 12\n(E) 99 Let's think first. Some random reasoning:

[Assistant] (25/100) * 40 – (4/5) * 25\n10 - 20 = 10 The final answer: (A).


[User] In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\nLook at this series: 88, 3, 80, 12, __, 21 ... What number is missing?\nOptions:\n(A) 72\n(B) 78\n(C) 68\n(D) 30\n(E) 70 Stream of consciousness:

[Assistant]
A\n72\nThis is an alternating addition and subtraction series. In the first pattern, 8 is subtracted from each number to arrive at the next. In the second, 9 is added to each number to arrive at the next.
Thus, the answer is (A).


[User]
Some question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?\nOptions:\n(A) They are both even numbers.\n(B) At least one of them is even\n(C) At least one of them is odd.\n(D) They are both odd.\n(E) Nothing can be said surly on A and B
Some stream of consciousness:

[Assistant] Odd x Odd = Odd\nOdd x Even = Even\nEven x Even = Even\nTo fulfill condition Either (A+1) or (B+1) needs to be Even\nSo either A or B needs to be odd\nOr At Least one of them is odd. The answer: (C).


[User] Question: Find 95 ×× 97\nOptions:\n(A) 92/198\n(B) 92/12\n(C) 92/13\n(D) 92/10\n(E) 92/15 Random thoughts:

[Assistant] Here both numbers are less than 100. So they are deficient of - 5 and - 3 compared with 100. So The final answer: (E).


[User] The inverse ratio of 3: 2: 1 is?\nOptions:\n(A) 2:3:7\n(B) 2:3:9\n(C) 2:3:2\n(D) 2:3:6\n(E) 2:3:1 Think first, then make a decision. Some random thoughts:

[Assistant] 1/3: 1/2: 1/1 = 2:3:6 So the answer is (D).


[User] Give stream of consciousness and then the final answer. A train 210 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) 22\n(C) 48\n(D) 99\n(E) 11

[Assistant]
D = 210 + 120 = 330\nS = 54 * 5/18 = 15 mps\nT = 330/15 = 22 sec
The final answer: (B).


[User] The average of first 16 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 17\n(D) 13\n(E) 14 Stream of consciousness:

[Assistant]
Sum of 16 even numbers = 16 * 17 = 272\nAverage = 272/16 = 17
Thus, the answer is (C).


[User] Find the odd man out\n253, 136, 352, 326, 631, 244\nOptions:\n(A) 326\n(B) 136\n(C) 352\n(D) 631\n(E) 531 Now, let's think a bit. Some random thoughts:

[Assistant]
The sum all three digits comes to 10 except 326
The final answer: (A).


[User] How much 45% of 60 is greater than 35% of 40?\nOptions:\n(A) 18\n(B) 13\n(C) 15\n(D) 17\n(E) 71 Stream of consciousness first, then make a decision:

[Assistant]
(45/100) * 60 – (35/100) * 40\n27 - 14 = 13
Thus, the answer is (B).


[User] John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 18%\n(D) 21%\n(E) 75% Let's think first. Stream of consciousness:

[Assistant]
Increase = (30/40)*100 = 75%.
So, the answer is (E).


[User] In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 4/5\n(D) 6/11\n(E) 4/5 Stream of consciousness first, then make a decision:

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


[User] Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2.\n(C) 3.\n(D) 4.\n(E) 5. Random thoughts:

[Assistant] Total boxes = 23\nFilled with toys = 18\nFilled with appliance = 5\nTotal boxes for sale = 8\nToy boxes for sale = 5\nAppliance boxes for sale = 3\nAppliance boxes not for sale = 5 - 3 = 2 The final answer: (B).


[User] Give stream of consciousness and then the final answer. Rs.500 amounts to Rs.620 in 2 years at simple interest. If the interest is increased by 2%, it would amount to how much?\nOptions:\n(A) 120\n(B) 25\n(C) 614\n(D) 530\n(E) 210

[Assistant]
(500*3*2)/100 = 30\n500+ 30 = 530
The final answer: (D).


[User] 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) 10\n(B) 26\n(C) 12\n(D) 24\n(E) 48 Think first, then make a decision. Some random thoughts:

[Assistant] 1/8 + 1/24 = 1/6\n6 * 2 = 12 So the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 1 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph

[Assistant]
Speed downstream = d/t = 80/(2 1/2) = 32 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (32 - 18)/2 = 7 kmph
The answer: (E).


[User] What is the are of an equilateral triangle of side 18 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 81âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 14âˆš3 cm2 Hmmm, my stream of consciousness:

[Assistant] Area of an equilateral triangle = âˆš3/4 S2\nIf S = 18, Area of triangle = âˆš3/4 * 18 * 18 = 81âˆš3 cm2; So, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?\nOptions:\n(A) 10Kmph\n(B) 11Kmph\n(C) 12Kmph\n(D) 13Kmph\n(E) 14Kmph

[Assistant]
Average speed = 2xy/(x+y) = (2*15*10)/25 = 12Kmph
The answer: (C).


[User] What will be the remainder when 17^200 is divided by 18\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Think first, then make a decision. Some random thoughts:

[Assistant] 17^200 % 18\n(17-18)^200 % 18\n(-1)^200 % 18\n1 % 18 = 1 So the answer is (A).


[User]
Student: Find the number which when added to itself 13 times, gives 112.\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11.
Another student: Let's say, hmmm...

[Assistant] Let the number be x. Then, x + 13x = 112 14x = 112 x = 8. Final answer: (B).


[User] Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:\nOptions:\n(A) 50\n(B) 40\n(C) 25\n(D) 36\n(E) 45 Hmmm, my stream of consciousness:

[Assistant] Area of tile = 25*65 = 1625\nArea of floor = 150*390 = 58500\nNo of tiles = 58500/1625 = 36\nSo, the no of tile = 36 So, the answer is (D).


[User] John makes $50 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 20% Let's think first. Stream of consciousness:

[Assistant]
Increase = (10/50)*100 = (1/5)*100 = 20%.
So, the answer is (E).


[User] Give stream of consciousness and then the final answer. List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 12

[Assistant]
Answer = D = 8\nIf least = -4, then largest = 9\nRange = 9 - 1 = 8
The final answer: (D).


[User]
Some question: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?\nOptions:\n(A) $3500\n(B) $5000\n(C) $3150\n(D) $7200\n(E) $10000
Some stream of consciousness:

[Assistant] Saving = (45-30)% of 48000 = 7200. The answer: (D).


[User] If n is an integer, then the least possible value of |33 - 5n| is?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 4 OK. Let's think. Some random thoughts first:

[Assistant] |33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2. The answer: (C).


[User] Use some thinking to answer the following question. If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 118 km\n(B) 162 km\n(C) 324 km\n(D) 1887 km\n(E) 177 km

[Assistant] 24 m/s = 24 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 24 * 18/5 * 15/4 km = 324 km. So the final answer is (C).


[User] Give stream of consciousness and then the final answer. The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :\nOptions:\n(A) 124 m2\n(B) 120 m2\n(C) 108 m2\n(D) 58 m2\n(E) None of these

[Assistant]
Area of the outer rectangle = 19 × 16 = 304 m2\nArea of the inner rectangle = 15 × 12 = 180 m2\nRequired area = (304 – 180) = 124 m2
The final answer: (A).


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

[Assistant]
Total ways to choose 4 employees from 8 employees = 8C3\nTwo women = 5C2\nTwo Men = 3C1\nP = (5C2 * 3C1)/8C2 = 5/7 hence
The final answer: (D).


[User] Question: 10 men and 15 women together can complete a work in 5 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\nOptions:\n(A) 127 days\n(B) 150 days\n(C) 177 days\n(D) 187 days\n(E) 225 days Random thoughts:

[Assistant] 1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/5\n15 women's 1 day work = (1/5 - 10/100) = 1/10\n1 woman's 1 day work = 1/150\n1 woman alone can complete the work in 150 days. The final answer: (B).


[User] Find the simple interest on Rs.450 for 8 months at 5 paisa per month?\nOptions:\n(A) 277\n(B) 270\n(C) 180\n(D) 266\n(E) 121 Now, let's think a bit. Some random thoughts:

[Assistant]
I = (450*8*5)/100 = 180
The final answer: (C).


[User]
Some question: In how many different ways can the letters of the word â€˜EVERâ€™ be arranged?\nOptions:\n(A) 12\n(B) 280\n(C) 300\n(D) 310\n(E) 360
Some stream of consciousness:

[Assistant] Number of ways = 4!/2! = 4X3X2X1/2X1 = 12 The answer: (A).


[User] Use some thinking to answer the following question. What is the probability of rolling a nine with two, fair, six-sided dice?\nOptions:\n(A) 1/6\n(B) 1/9\n(C) 2/13\n(D) 1/12\n(E) 5/36

[Assistant] There are 4 ways to roll a nine: 3 and 6, 6 and 3, 4 and 5, 5 and 4 with two six-sided dice. There are 6 times 6 = 36 ways to roll two dice. The probability of rolling a 9 is thus 4/36 = 1/9. So the final answer is (B).


[User] Use some thinking to answer the following question. If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 118, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  22\n(D)  118\n(E)  25 3/10

[Assistant] K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\n(11K -1)/4 = 118\n11K = 118 * 4 +1 = 472 +1 = 473\nK = 473 / 11 = 43. So the final answer is (D).


[User] A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 25 kmph\n(B) 32 kmph\n(C) 40 kmph\n(D) 38 kmph\n(E) 92 kmph Stream of consciousness first, then make a decision:

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


[User] One copy machine can make 30 copies a minute, and a second copy machine makes 15 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?\nOptions:\n(A) 15 minutes\n(B) 20 minutes\n(C) 25 minutes\n(D) 30 minutes\n(E) 35 minutes Stream of consciousness first, then make a decision:

[Assistant]
Total work done by both machines in a minute = 30 + 15 = 45 copies\nTotal number of copies required = 900\nTime = 900/45 = 20 mins
Thus, the answer is (B).


[User] Use some thinking to answer the following question. A light has a rating of 80 watts, it is replaced with a new light that has 25% higher wattage. How many watts does the new light have?\nOptions:\n(A) 105\n(B) 95\n(C) 80\n(D) 60\n(E) 100

[Assistant] Final number = Initial number + 25%(original number) = 80 + 25%(80) = 80 + 20 = 100. So the final answer is (E).


[User] 85% of the population of a city is 85000. The total population of the city is?\nOptions:\n(A) 95000\n(B) 97500\n(C) 100000\n(D) 105000\n(E) 102500 OK. Let's think. Some random thoughts first:

[Assistant] X * (85/100) = 85000\nX = 1000 * 100\nX = 100000 The answer: (C).


[User] Q: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 18 sec\n(B) 16 sec\n(C) 76 sec\n(D) 12 sec\n(E) 17 sec Let's give some random thoughts before answering.

[Assistant]
Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 210 * 2/35 = 12 sec
Therefore, the answer is (D).


[User] Question: Which one of the following is not a prime number?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 9\n(E) 7 Random thoughts:

[Assistant] 9 is divisible by 3. So, it is not a prime number. The final answer: (D).


[User] In how many different ways can the letters of the word ‘PREPTY’ be arranged?\nOptions:\n(A) 250\n(B) 280\n(C) 300\n(D) 310\n(E) 360 Now, let's think a bit. Some random thoughts:

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


[User] 10 men and 15 women together can complete a work in 6 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) 2267\n(B) 287\n(C) 268\n(D) 228\n(E) 225 Hmmm, my stream of consciousness:

[Assistant] 1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/6\n15 women's 1 day work = (1/6 - 10/100) = 1/15\n1 woman's 1 day work = 1/225\n1 woman alone can complete the work in 225 days. So, the answer is (E).


[User]
Student: Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?\nOptions:\n(A) 2079\n(B) 456\n(C) 974\n(D) 562\n(E) 300.
Another student: Let's say, hmmm...

[Assistant] 639 is not divisible by 7\n2079 is divisible by each of 3, 7, 9, 11. Final answer: (A).


[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?\nOptions:\n(A) 8\n(B) 13\n(C) 16\n(D) 24\n(E) 27 Hmmm, my stream of consciousness:

[Assistant] A intersect B intersect C = 4\nA intersect B but not C = 1\nB intersect C but not A = 1\nC intersec A but not B = 1\nA only is 2; B only is 2; C only is 2\nTherefore, total 13 members serve on one or more boards of directors. So, the answer is (B).


[User]
Some question: Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 5/3
Some stream of consciousness:

[Assistant] A's one day's work = 1/30\nB's one day's work = 1/60\n(A + B)'s one day's work = 1/30 + 1/60 = 1/20\nThe part of the work completed in 10 days = 10 (1/20) = 1/2. The answer: (D).


[User] The length of a rectangle is increased by 45% 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) 11600 Hmmm, my stream of consciousness:

[Assistant] 100 * 100 = 10000\n145 * 80 = 11600 So, the answer is (E).


[User] What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50 Now, let's think a bit. Some random thoughts:

[Assistant]
(1056 / 26) gives remainder 16\n10 + 16 = 26, So we need to add 10
The final answer: (A).


[User] The average of first 12 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14 Let's think first. Stream of consciousness:

[Assistant]
Sum of 12 even numbers = 12 * 13 = 156\nAverage = 156/13 = 13
So, the answer is (D).


[User] A corporation triples its annual bonus to 50 of its employees. What T percent of the employees’ new bonus is the increase?\nOptions:\n(A) 50%\n(B) 662⁄3%\n(C) 100%\n(D) 200%\n(E) 300% OK. Let's think. Some random thoughts first:

[Assistant] T of the employees’ new bonus is the increase Hence The answer: (B).


[User] Question: If 10 crates have 99 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 0 Random thoughts:

[Assistant] Each crate requires 1 apples and totally there are 10 crates so required apples = 10 * 1 = 10 The final answer: (B).


[User] You have found a mutant algae that doubles in size every hour. It takes 18 hours for one algae plant to take up half of a certain lake.\nHow long would it take for two of these plants to take up half of the same lake?\nOptions:\n(A) 7\n(B) 17\n(C) 27\n(D) 37\n(E) 47 Hmmm, my stream of consciousness:

[Assistant] At 17 hours the one plant will take up 1/4 of the lake (1/2 of 1/2). At 17 hours the two plants would be double the size of the one plant and double 1/4 is one half. So, the answer is (B).


[User] Question: A man rows his boat 65 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) 4 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph Random thoughts:

[Assistant] Speed downstream = d/t = 65/(2 1/2) = 26 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (26 - 18)/2 = 4 kmph The final answer: (B).


[User] Q: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 208.\nOptions:\n(A) 15\n(B) 37\n(C) 55\n(D) 26\n(E) 73 Let's give some random thoughts before answering.

[Assistant]
Using the elimination method the option that fits this description is 26\n6-2 = 4 (unit's digit that exceeds its ten's digit by 3)\n26*8 = 208 (the product of the given number and the sum of its digits is equal to 175)
Therefore, the answer is (D).


[User] Use some thinking to answer the following question. If 10 crates have 95 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 50\n(E) 0

[Assistant] Each crate requires 5 apples and totally there are 10 crates so required apples = 10 * 5 = 50 So the final answer is (D).


[User]
Some question: Find the least number must be subtracted from 568219 so that remaining no.is divisible by 5?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 4
Some stream of consciousness:

[Assistant] On dividing 568219 by 5 we get the remainder 4, so 4 should be subtracted The answer: (E).


[User] Question: If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) -f(x) \n(B) 1/f(x) \n(C) 2/f(x) \n(D) 3/f(x) \n(E) f(x)  Let's think first. Some random reasoning:

[Assistant] If x = 2 then f(x) = 8/31 and f(1/x) = -8/31 which is equal to -f(x) The final answer: (A).


[User] Give stream of consciousness and then the final answer. 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?\nOptions:\n(A) 2178\n(B) 1087\n(C) 2800\n(D) 2689\n(E) 2081

[Assistant]
(x*3*1)/100 + [(4000 - x)*5*1]/100 = 144\n3x/100 + 200 – 5x/100 = 144\n2x/100 = 56 è x = 2800
The final answer: (C).


[User] Give stream of consciousness and then the final answer. The average of 13 numbers is 60. Average of the first 7 of them is 54 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 25\n(B) 83\n(C) 45\n(D) 53\n(E) 64

[Assistant]
Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 54 = 378\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 378 - 780 = 25.
The final answer: (A).


[User]
Student: The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\nOptions:\n(A) 4\n(B) 3\n(C) 5\n(D) 8\n(E) 2.
Another student: Let's say, hmmm...

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


[User] The average age of a class of 22 students is 10 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) 33 Years\n(D) 34 Years\n(E) 49 Years OK. Let's think. Some random thoughts first:

[Assistant] Total age of students is 22X10 = 220 Years\nTotal age inclusive of teacher = 23X (10+1) = 253\nSo, Teacher's age is 253-220 = 33 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 10+(23X1) = 33 Years The answer: (C).


[User]
Some question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In a weekly range of temperature recorded at a certain weather station differed by 25 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?\nOptions:\n(A) a)  65/9\n(B) b)  13\n(C) c)  25\n(D) d)  45\n(E) e)  81
Some stream of consciousness:

[Assistant] The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 25. The other answer choices are too far apart so no need to calculate. The answer: (B).


[User]
Student: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?\nOptions:\n(A) 5 mins\n(B) 3 mins\n(C) 7 mins\n(D) 9 mins\n(E) 2 mins.
Another student: Let's say, hmmm...

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


[User] Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 1/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/280\n(C) 27/280\n(D) 3/35\n(E) 7/56 Think first, then make a decision. Some random thoughts:

[Assistant] P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 1/5*1/8*5/7 + 1/5*7/8*2/7 + 4/5*1/8*2/7 = 27/280. So the answer is (C).


[User] In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 41\n(B) 63\n(C) 72\n(D) 63\n(E) 50 Hmmm, my stream of consciousness:

[Assistant] 44 + 28 + 10 = 82%\n100 – 82 = 18%\n400 * 18/100 = 72 So, the answer is (C).


[User] Use some thinking to answer the following question. In a certain lottery drawing, two balls are selected at random from a container with 10 balls, numbered from 1 to 10, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?\nOptions:\n(A) $9 x 10^4\n(B) $9.90 x 10^6\n(C) $1.00 x 10^7\n(D) $1.05 x 10^7\n(E) $9.90 x 10^7

[Assistant] The max product of any two balls can be 9 * 10 = 9900 = 9 * 10\nIf we multiply it by $1000 the max amount will be 9 * 10^4. So the final answer is (A).


[User] From the set of numbers x, y, t, z, p, q and w, how many different combinations can we have without the t and w in them? Ex:. (x,y), (x), (p,q,z,y,x), etc and (x,y)=(y,x)\nOptions:\n(A) 10\n(B) 14\n(C) 15\n(D) 16\n(E) 30 Now, let's think a bit. Some random thoughts:

[Assistant]
Another way: Any letter (x, y, z, p, q) can be included or not. So, we have 2^5 combinations - 2 empty combinations = 30 combinations
The final answer: (E).


[User] Of the 50 electronics components that a factory must\nmanufacture, 70 percent would be most e¢ ciently manufactured\nby Machine A and the remaining 30 percent would be most\ne¢ ciently manufactured by Machine B, though either machine\ncould manufacture any of the 50 components. If 36 percent of\nthe components were manufactured by Machine A and the\nremainder were manufactured by Machine B, what is the\nhighest possible number of components that were\nmanufactured by the machine that would manufacture them\nthe most efficiently?\nOptions:\n(A) 30\n(B) 31\n(C) 32\n(D) 33\n(E) 34 Think first, then make a decision. Some random thoughts:

[Assistant] # components A and B could manufacture efficiently:\nA: 50*70% = 35\nB: 50*30% = 15\n# components A and B effectively manufacture:\nA: 50*36% = 18\nB: 50*64% = 32\nMax. # components efficiently manufactured:\n18 (from A) and 15 (from B) = 33 So the answer is (D).


[User] The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 50%\n(B) 25%\n(C) 35%\n(D) 40%\n(E) 45% Hmmm, my stream of consciousness:

[Assistant] Cost price of article = 48$\n% of overhead cost = 25\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 25 = 50% So, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. The average of first 10 even numbers is?\nOptions:\n(A) 17\n(B) 199\n(C) 16\n(D) 11\n(E) 123

[Assistant]
Sum of 10 even numbers = 10 * 11 = 110\nAverage = 110/10 = 11
The answer: (D).


[User] Give stream of consciousness and then the final answer. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?\nOptions:\n(A) 12hours\n(B) 10hours\n(C) 6hours\n(D) 8hours\n(E) 4hours

[Assistant]
A's 1 hour work = 1/4;\n(B + C)'s 1 hour work = 1/3;\n(A + B)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\nC's 1 hour work = (7/12 - 1/2) = 1/12\nC alone will take 12 hours to do the work.
The final answer: (A).


[User] Approximately what percent of the employees with 5 or more years of employment are NOT taking either workshop?\nOptions:\n(A) 86%\n(B) 64%\n(C) 50%\n(D) 14%\n(E) 7% Stream of consciousness:

[Assistant]
Total = n(A) + n(B) - Both + None\nNone = Total - n(A) - n(B) + Both\nCalculate "none" for each case\nNone(5+ yrs Line) = 200 - 50 - 40 + 30 = 140\nNone(5+ yrs Staff) = 160 - 40 - 50 + 20 = 90\nEmployees not taking either workshop/Total number of employees = (140 + 90)/(200 + 160) = 230/360 = About 64%
Thus, the answer is (B).


[User] How many positive integers less than 70 have a reminder 01 when divided by 3?\nOptions:\n(A) 13\n(B) 24\n(C) 35\n(D) 16\n(E) 17 Stream of consciousness first, then make a decision:

[Assistant]
1 also gives the remainder of 1 when divided by 3. So, there are total of 24 numbers.
Thus, the answer is (B).


[User] A 600 meter long train crosses a signal post in 30 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 2 min\n(C) 8 min\n(D) 3 min\n(E) 5 min Stream of consciousness first, then make a decision:

[Assistant]
S = 600/30 = 20 mps\nS = 3600/20 = 180 sec = 4 min
Thus, the answer is (D).


[User] Question: In how many ways can you seat 4 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) 720\n(B) 1720\n(C) 2880\n(D) 6\n(E) 10080 Random thoughts:

[Assistant] Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 1 chairs to sit. The remaining 3 people can sit in 3! ways. Thus the # of arrangements is 1*3! = 6. The final answer: (D).


[User] Use some thinking to answer the following question. Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?\nOptions:\n(A) Rs. 220\n(B) Rs. 235\n(C) Rs. 240\n(D) Rs. 276\n(E) Rs. 286

[Assistant] The payment should be in ratio of 200:120:230 or 20:12:23\nFirst person should pay 20*660/55 = 240 Rs. So the final answer is (D).


[User] How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 27 sec\n(B) 23 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec Hmmm, my stream of consciousness:

[Assistant] D = 120 + 150 = 270\nS = 36 * 5/18 = 10 mps\nT = 270/10 = 27 sec So, the answer is (A).


[User] Question: 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 G when N is divided by 30?\nOptions:\n(A) (a)  4\n(B) (b)  7\n(C) (c)  11\n(D) (d)  13\n(E) (e)  17 Let's think first. Some random reasoning:

[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 G when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. The final answer: (C).


[User] Question: The number N is 7,6H4, 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 Random thoughts:

[Assistant] Integer is divisible by 9 - Sum of digits is divisible by 9 The final answer: (A).


[User] A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds. What is the length of the platform in meters?\nOptions:\n(A) 240 meters\n(B) 360 meters\n(C) 280 meters\n(D) 600 meters\n(E) Cannot be determined Stream of consciousness first, then make a decision:

[Assistant]
Speed of the train in metres/sec = 72000/3600 = 20\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\nDistance travelled by train to cross the man = 16 * 20 = 320 = Length of train\nLength of platform = 600 - 320 = 280
Thus, the answer is (C).


[User] Question: One copy machine can make 25 copies a minute, and a second copy machine makes 35 copies a minute. If the two copiers work together, how long would it take them to make 4,800 copies?\nOptions:\n(A) 30 minutes\n(B) 40 minutes\n(C) 60 minutes\n(D) 70 minutes\n(E) 80 minutes Random thoughts:

[Assistant] Total work done by both machines in a minute = 25 + 35 = 60 copies\nTotal number of copies required = 6000\nTime = 4800/60 = 80 mins The final answer: (E).


[User] Use some thinking to answer the following question. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\nOptions:\n(A) 3 km/hr\n(B) 2 km/hr\n(C) 4 km/hr\n(D) 6 km/hr\n(E) 8 km/hr

[Assistant] Speed in still water = 1/2 (11 + 5) kmph = 8 kmph. So the final answer is (E).


[User]
Some question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?\nOptions:\n(A) 5 years\n(B) 6 years\n(C) 7 years\n(D) 9 years\n(E) 15 years
Some stream of consciousness:

[Assistant] (4000*T*5)/100 = (5000*5*4)/100\nT = 5 years The answer: (A).


[User] Question: The average of five numbers is 18. The average of first two numbers is 14 and the average of last two numbers is 19. What is the middle number?\nOptions:\n(A) 24\n(B) 27\n(C) 29\n(D) 32\n(E) 34 Let's think first. Some random reasoning:

[Assistant] The total of seven numbers = 5X18 = 90\nThe total of first 2 and last 2 numbers is = 2 X 14+2 X 19 = 66\nSo, the middle number is (90 - 66 ) = 24 The final answer: (A).


[User] The number N is 5,1H4, 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) 8\n(D) 7\n(E) 9 Stream of consciousness:

[Assistant]
Integer is divisible by 9 - Sum of digits is divisible by 9
Thus, 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, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 18\n(B) 22\n(C) 42\n(D) 41\n(E) 74 Stream of consciousness first, then make a decision:

[Assistant]
The correct answer should not take the form: 4x + 2. Hence, it is
Thus, the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\nOptions:\n(A) 8\n(B) 16\n(C) 17\n(D) 18\n(E) 34

[Assistant]
Minimum age = Average - 1 Standard deviation = 20 - 8 = 12\nMaximum age = average + 1 Standard deviation = 20+ 8 = 28\nMaximum number of different ages of the applicants = 28 - 12 + 1 = 17
The answer: (C).


[User] Give stream of consciousness and then the final answer. The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?\nOptions:\n(A) 228\n(B) 148\n(C) 992\n(D) 772\n(E) 222

[Assistant]
2(4*5 + 5*6 + 4*6) = 148
The final answer: (B).


[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. 86 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] D 85 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 85 matches were playe The final answer: (D).


[User] Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 0 Let's think first. Some random reasoning:

[Assistant] Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20 The final answer: (D).


[User] The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 1288\n(B) 1299\n(C) 1000\n(D) 10000\n(E) 2887 Let's think first. Stream of consciousness:

[Assistant]
100 * 100 = 10000\n125 * 80 = 10000
So, the answer is (D).


[User] In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 120\n(B) 125\n(C) 153\n(D) 200\n(E) 250 Let's think first. Stream of consciousness:

[Assistant]
44 + 28 + 10 = 82%\n100 â€“ 82 = 18%\n850 * 18/100 = 153
So, the answer is (A).


[User] Question: In a race with 30 runners where 6 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) 6^6 ways\n(B) 8^9 ways\n(C) 7^8 ways\n(D) 8^7 ways\n(E) 8^6 ways Random thoughts:

[Assistant] 6 people can be prized with distinct prizes in 6^6 ways The final answer: (A).


[User] If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\nOptions:\n(A) 60 %\n(B) 55 %\n(C) 70%\n(D) 75%\n(E) 80% Now, let's think a bit. Some random thoughts:

[Assistant]
{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 85 + 65 - {Both correctly} + 5\n{Both correctly} = 55.
The final answer: (B).


[User] Use some thinking to answer the following question. Calculate the largest 5 digit number which is exactly divisible by 77?\nOptions:\n(A) 99111\n(B) 99946\n(C) 99869\n(D) 99792\n(E) 99654

[Assistant] Largest 4 digit number is 99999\nAfter doing 99999 ÷ 77 we get remainder 53\nHence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946 So the final answer is (B).


[User] Use some thinking to answer the following question. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?\nOptions:\n(A) 750\n(B) 888\n(C) 261\n(D) 787\n(E) 17`

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


[User] Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?\nOptions:\n(A) 12\n(B) 15\n(C) 14\n(D) 18\n(E) 17 Think first, then make a decision. Some random thoughts:

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


[User]
Some question: An archer is shooting arrows from various distances. She shoots at a target from 60 yards, 70 yards, and 80 yards. The probability that she hits within the bullseye from 60 yards is 2/3, the probability that she hits within the bullseye from 70 yards is 3/5, and the probability that she hits within the bullseye from 80 yards is 1/2. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 19/20\n(B) 29/30\n(C) 49/50\n(D) 9/10\n(E) 14/15
Some stream of consciousness:

[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 60 yards)*(prob that she misses from 70 yards)*(prob that she misses from 80 yards)\nProb that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5; Prob that she misses from 80 yards = 1 - 1/2 = 1/2\nThus the probability that she misses all shots = (1/3)*(2/5)*(1/2) = 2/30 = 1/15\nThus the probability that she makes at least one shot = 1 - (1/15) = 14/15 The answer: (E).


[User] In an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\nOptions:\n(A)  32\n(B)  64\n(C)  50\n(D)  144\n(E)  160 Let's think first. Stream of consciousness:

[Assistant]
(10/100)Workers = 16 = > number of workers = 160\n(20/100)*Workers = x+16 = > x = 32
So, the answer is (A).


[User]
Student: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 10 sec\n(B) 8 sec\n(C) 5 sec\n(D) 6 sec\n(E) 11 sec.
Another student: Let's say, hmmm...

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


[User] 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\n(B) 5\n(C) 9\n(D) 4\n(E) 7 Stream of consciousness:

[Assistant]
T = 40/36 * 18/5 = 4 sec
Thus, the answer is (D).


[User] Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?\nOptions:\n(A) 267\n(B) 766\n(C) 810\n(D) 868\n(E) 812 Let's think first. Some random reasoning:

[Assistant] 12 men 120 acres 36 days\n54 men ? 54 days\n120 * 54/12 * 54/36\n10 * 54 * 3/2\n54 * 15 = 810 The final answer: (C).


[User] The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?\nOptions:\n(A) 20\n(B) 24\n(C) 30\n(D) 32\n(E) 34 Stream of consciousness:

[Assistant]
Use simultaneous equations / By combination\n4x = 5y + 4\n5x = 6y + 6\nMultiply (1) by 6\nMultiply (2) by -5\nGet rid of y, and x = 6\nThen 5x = 30
Thus, the answer is (C).


[User] Use some thinking to answer the following question. From among the 36 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) 1160\n(E) 1460

[Assistant] There are 36 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 36 ways. When one person is appointed as leader, we are left with 35 students. Out of these 35 teachers, we can select one class representative. So, a class representative can be selected in 35 ways. Hence, the number of ways in which a leader and class representative can be selected = 36 x 35 = 1260 So the final answer is (B).


[User] I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?\nOptions:\n(A) 5\n(B) 7\n(C) 23\n(D) 4\n(E) 2 Let's think first. Stream of consciousness:

[Assistant]
Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5.
So, the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. What is the median from the below series\n90, 92, 93, 88, 95, 88, 97, 87, and 98\nOptions:\n(A) 85\n(B) 89\n(C) 92\n(D) 98\n(E) 100

[Assistant]
Ordering the data from least to greatest, we get:\n87, 88, 88, 90, 92, 93, 95, 96, 98\nThe median score is 92.
The answer: (C).


[User] Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 3/6\n(D) 3/8\n(E) 5/3 OK. Let's think. Some random thoughts first:

[Assistant] A's one day's work = 1/20\nB's one day's work = 1/40\n(A + B)'s one day's work = 1/20 + 1/40 = 3/40\nThe part of the work completed in 5 days = 5 (3/40) = 3/8. The answer: (D).


[User] Question: What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x\nOptions:\n(A) 84\n(B) 92\n(C) 94\n(D) 98\n(E) 104 Let's think first. Some random reasoning:

[Assistant] 1\n1 × 2 + 2 = 4\n4 × 2 + 2 = 10\n10 × 2 + 2 = 22\n22 × 2 + 2 = 46\n46 × 2 + 2 = 94 The final answer: (C).


[User] Find the simple interest on Rs.520 for 7 months at 8 paisa per month?\nOptions:\n(A) 277\n(B) 270\n(C) 291\n(D) 266\n(E) 121 Stream of consciousness:

[Assistant]
I = (520*7*8)/100 = 291
Thus, the answer is (C).


[User] A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?\nOptions:\n(A) 5/19\n(B) 9/20\n(C) 1/57\n(D) 15/57\n(E) 15/684 Let's think first. Stream of consciousness:

[Assistant]
It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 6/20\nProbability of choosing 2nd card of the same type: 5/19\nProbability of choosing 3rd card of the same type: 4/18\nMultiply and you get 1/57
So, the answer is (C).


[User] Find the average of the first 19 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 10\n(D) 11\n(E) 12 Let's think first. Stream of consciousness:

[Assistant]
Average of the first 'n' natural numbers = (n + 1)/2\nWe get (19 + 1)/2 = 10
So, the answer is (C).


[User] The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 3 Think first, then make a decision. Some random thoughts:

[Assistant] 1 to 9 = 9 * 9 = 81\n1 to 5 = 5 * 10 = 50\n5 to 9 = 5 * 8 = 40\n5th = 50 + 40 = 90 – 81 = 9 So the answer is (A).


[User] Give a quick stream of consciousness before answering the following question. The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 33\n(B) 18\n(C) 21\n(D) 12\n(E) 19

[Assistant]
Present age of total members = 6 X 40 = 240\n7 yrs back their ages were = 6 x 7 = 42\nAges at the birth of youngest member = 240 - 42 = 198\nTherefore, avg age at the birth of youngest member = 198/6 = 33.
The answer: (A).


[User]
Some question: A 35 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 10\n(B) 20\n(C) 88\n(D) 77\n(E) 14
Some stream of consciousness:

[Assistant] 1: 2/5 = 5: 2\n2/7 * 35 = 10 The answer: (A).


[User] There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number?\nOptions:\n(A) 31\n(B) 24\n(C) 29\n(D) 25\n(E) 21 Stream of consciousness first, then make a decision:

[Assistant]
The total of 15 numbers = 15X11 = 165\nThe total of first 7 and last 7 numbers is = 7 X 14+7 X 6 = 140\nSo, the middle number is (165 - 140 ) = 25
Thus, the answer is (D).


[User] Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 23\n(B) 26\n(C) 40\n(D) 42\n(E) 49 Stream of consciousness first, then make a decision:

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


[User] Use some thinking to answer the following question. The average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 24\n(B) 25\n(C) 26\n(D) 27\n(E) 28

[Assistant] 20 + 24 + 6 * 2 = 56/2 = 28 So the final answer is (E).


[User] What will come in place of the x in the following Number series? 2, 7, 27, 107, 427, x\nOptions:\n(A) 1427\n(B) 1607\n(C) 1707\n(D) 2047\n(E) 2147 Stream of consciousness:

[Assistant]
2\n2 × 4 - 1 = 7\n7 × 4 - 1 = 27\n27 × 4 - 1 = 107\n107 × 4 - 1 = 427\n427 × 4 - 1 = 1707
Thus, the answer is (C).


[User] The average mark obtained by 22 candidates in an examination is 46. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\nOptions:\n(A) 22\n(B) 0\n(C) 19\n(D) 18\n(E) 16 Stream of consciousness first, then make a decision:

[Assistant]
It is clear that 22 x 46 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 22
Thus, the answer is (A).


[User] Q: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?\nOptions:\n(A) 4\n(B) 0\n(C) 3\n(D) 2\n(E) 1 Let's give some random thoughts before answering.

[Assistant]
A number ending with 3 can never be a perfect square.
Therefore, the answer is (B).


[User] 5,9,20,32,52,__\nOptions:\n(A) 79\n(B) 85\n(C) 81\n(D) 82\n(E) 83 Think first, then make a decision. Some random thoughts:

[Assistant] (9+5) +6 = 20\n(16+9) +7 = 32\n(28+16)+8 = 52\n(48+28)+9 = 85 So the answer is (B).


[User] Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\nOptions:\n(A) 1\n(B) 3\n(C) 4\n(D) 5\n(E) 6 Random thoughts:

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


[User] The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?\nOptions:\n(A) 15\n(B) 66\n(C) 77\n(D) 30\n(E) 42 Think first, then make a decision. Some random thoughts:

[Assistant] 90 * 20/60 = 30 kmph So the answer is (D).


[User] A can do a piece of work in 6 hours; B and C together can do it in 4 hours, which A and C together can do it in 3 hours. How long will B alone take to do it?\nOptions:\n(A) 8hours\n(B) 6hours\n(C) 14hours\n(D) 12hours\n(E) 5hours Stream of consciousness:

[Assistant]
A's 1 hour work = 1/6;\n(B + C)'s 1 hour work = 1/4;\n(A + C)'s 1 hour work = 1/3\n(A + B + C)'s 1 hour work = (1/4 + 1/6) = 5/12\nB's 1 hour work = (5/12 - 1/3) = 1/12\nB alone will take 12 hours to do the work.
Thus, the answer is (D).


[User] 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) 33 7/3%\n(D) 32 1/3%\n(E) 23 1/3% Let's think first. Stream of consciousness:

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


[User]
Student: A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 96 kmph\n(B) 94 kmph\n(C) 92 kmph\n(D) 86 kmph\n(E) 76 kmph.
Another student: Let's say, hmmm...

[Assistant] S = 160/6 * 18/5 = 96 kmph Final answer: (A).


[User] If a man can cover 8 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 108\n(B) 180\n(C) 107\n(D) 168\n(E) 122 Think first, then make a decision. Some random thoughts:

[Assistant] 8 m/s = 8 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 8 * 18/5 * 15/4 km = 108 km. So the answer is (A).


[User] Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 15 sec\n(B) 16 sec\n(C) 28 sec\n(D) 20 sec\n(E) 25 sec Let's think first. Some random reasoning:

[Assistant] Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 490 * 2/35 = 28 se The final answer: (C).


[User] Question: A man rows his boat 72 km downstream and 30 km upstream, taking 3 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 8 kmph\n(E) 7 kmph Let's think first. Some random reasoning:

[Assistant] Speed downstream = d/t = 72/(3) = 24 kmph\nSpeed upstream = d/t = 30/(3) = 10 kmph\nThe speed of the stream = (24 - 10)/2 = 7 kmph The final answer: (E).


[User] Which of the following is equal to (x+1)!/x!\nOptions:\n(A) x-1\n(B) 1+(1/x) \n(C) x+1\n(D) 1\n(E) x Stream of consciousness:

[Assistant]
(x + 1)! = (x + 1) * x!\n(x + 1)!/x! = x + 1
Thus, the answer is (C).


[User] There are 47 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\nOptions:\n(A) 39\n(B) 40\n(C) 51\n(D) 58\n(E) 63 Think first, then make a decision. Some random thoughts:

[Assistant] {Total} = {M} + {N} - {Both}\n{Total} = 47 + 28 - 12 = 63. So the answer is (E).


[User] Question: Find 96 ×× 98\nOptions:\n(A) 92/8\n(B) 92/12\n(C) 92/13\n(D) 92/10\n(E) 92/11 Random thoughts:

[Assistant] Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So The final answer: (A).


[User] A certain league has two divisions. The respective divisions had 11 and 13 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)  41\n(B)  42\n(C)  45\n(D)  47\n(E)  49 Think first, then make a decision. Some random thoughts:

[Assistant] Overall, there can be 47 minuses. Tus, it is So the answer is (D).


[User] John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase?\nOptions:\n(A) 16.12%\n(B) 16.66%\n(C) 30%\n(D) 17.66%\n(E) 18.1% Hmmm, my stream of consciousness:

[Assistant] Increase = (18/60)*100 = (3/10)*100 = 30%. So, the answer is (C).


[User]
Some question: The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 21\n(B) 56\n(C) 78\n(D) 25\n(E) 23
Some stream of consciousness:

[Assistant] 1 to 11 = 11 * 48 = 528\n1 to 6 = 6 * 49 = 294\n6 to 11 = 6 * 52 = 312\n6th = 294 + 312 â€“ 528 = 78 The answer: (C).


[User] What is the maximum number of pieces of birthday cake of size 3” by 3” that can be cut from a cake 21” by 21”?\nOptions:\n(A) 5\n(B) 7\n(C) 49\n(D) 20\n(E) 25 Let's think first. Stream of consciousness:

[Assistant]
The prompt is essentially asking for the maximum number of 3x3 squares that can be cut from a larger 21 by 21 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 7 'pieces' each, we have (7)(7) = 49 total smaller squares (at maximum).
So, the answer is (C).


[User] During a sale, the price of a pair of shoes is marked down 14% 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) 16%\n(E) 90% Hmmm, my stream of consciousness:

[Assistant] Assume the price = 100\nPrice during sale = 86\nPrice after sale = 100\nPercent increase = 14/86*100 = 16% approx. So, the answer is (D).


[User] Question: 10 men and 15 women together can complete a work in 8 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\nOptions:\n(A) 127 days\n(B) 667 days\n(C) 177 days\n(D) 187 days\n(E) 600 days Random thoughts:

[Assistant] 1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/8\n15 women's 1 day work = (1/8 - 10/100) = 1/40\n1 woman's 1 day work = 1/600\n1 woman alone can complete the work in 600 days. The final answer: (E).


[User] Find the least number must be subtracted from 378461 so that remaining no.is divisible by 13?\nOptions:\n(A) 4\n(B) 5\n(C) 7\n(D) 6\n(E) 8 Let's think first. Stream of consciousness:

[Assistant]
On dividing 378461 by 13 we get the remainder 5, so 5 should be subtracted
So, the answer is (B).


[User] Give stream of consciousness and then the final answer. Grace has 18 jellybeans in her pocket. She has 10 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 13\n(E) 15

[Assistant]
The worst scenario is when she takes 10 red and 4 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.
The final answer: (E).


[User] Give stream of consciousness and then the final answer. Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?\nOptions:\n(A) 9\n(B) 10\n(C) 13\n(D) 16\n(E) 18

[Assistant]
20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.
The final answer: (B).


[User] Give a quick stream of consciousness before answering the following question. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.\nOptions:\n(A) 5/12\n(B) 4/13\n(C) 5/17\n(D) 3/12\n(E) 8/9

[Assistant]
Using question number 11 and 12, we get the probability as\n1 - (1/36 + 5/9) = 5/12
The answer: (A).


[User] The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?\nOptions:\n(A) 59\n(B) 64\n(C) 61\n(D) 72\n(E) 65 OK. Let's think. Some random thoughts first:

[Assistant] The total of five numbers = 5X41 = 205\nThe total of first 2 and last 2 numbers is = 2 X 32+2 X 38 = 140\nSo, the middle number is (205 - 140 ) = 65 The answer: (E).


[User] Give stream of consciousness and then the final answer. There are 3 teams each with 5 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 75\n(D) 28\n(E) 45

[Assistant]
There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 25 possibilities (5*5) since each team has 5 players. So there are a total of 75 possibilities (25*3).
The final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?\nOptions:\n(A) 8%\n(B) 26%\n(C) 45%\n(D) 52%\n(E) 56%

[Assistant]
(10/108)/(5/20) = 20/27 = 74% it means that 10/108 represents only 74%. Therefore a decrease of 26%.
The answer: (B).


[User] If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be\nOptions:\n(A) 2\n(B) 5\n(C) 6\n(D) 7\n(E) 14 Now, let's think a bit. Some random thoughts:

[Assistant]
3150*y = A^2\n3 * 1050 * y = A^2\n3*5*210*y = A^2\n3*5*7*3*2*5*y = A^2\n2*3^2*5^2*7*y = A^2\nConcept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7\nHence 14 ;
The final answer: (E).


[User] A man took loan from a bank at the rate of 13% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?\nOptions:\n(A) Rs. 1846\n(B) Rs. 18846\n(C) Rs. 13846\n(D) Rs. 2000\n(E) Rs. 14846 Stream of consciousness:

[Assistant]
Principal = (100 * 5400) / (13 * 3) = Rs. 13846
Thus, the answer is (C).


[User] Which of the following numbers is divisible by 4?\nOptions:\n(A) 27767\n(B) 10224\n(C) 26778\n(D) 26679\n(E) 26711 Hmmm, my stream of consciousness:

[Assistant] 10224. This is the only option with last two digits divisible by 4 So, the answer is (B).


[User]
Some question: What is the are of an equilateral triangle of side 12 cm?\nOptions:\n(A) 64√5\n(B) 64√9\n(C) 64√4\n(D) 36√3\n(E) 64√2
Some stream of consciousness:

[Assistant] Area of an equilateral triangle = √3/4 S2\nIf S = 12, Area of triangle = √3/4 * 12 * 12 = 36√3 cm2; The answer: (D).


[User] Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 4 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\nOptions:\n(A) 60 gallons\n(B) 100 gallons\n(C) 120 gallons\n(D) 160 gallons\n(E) 130 gallons Let's think first. Stream of consciousness:

[Assistant]
Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 4 gallons\\nVolume of whole = 4 * 40 = 160 gallons.
So, the answer is (D).


[User] The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 22 kmph\n(B) 40 kmph\n(C) 78 kmph\n(D) 50 kmph\n(E) 23 kmph Let's think first. Stream of consciousness:

[Assistant]
Speed downstream = 70 + 20 = 90 kmph\nSpeed upstream = 70 - 20 = 50 kmph
So, the answer is (D).


[User] Q: Steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?\nOptions:\n(A) 53.33 mph\n(B) 88 mph\n(C) 60 mph\n(D) 64 mph\n(E) 66.67 mph Let's give some random thoughts before answering.

[Assistant]
Average Speed = Total distance/ Total time = (40 * 5 + 80 * 3)/(5 + 3) = 440/5 = 88
Therefore, the answer is (B).


[User] Question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\nOptions:\n(A) (2x + 3y) 2\n(B) (2y – x) 2 + y(16x + 5y) \n(C) 4x(x + 2y)  + y(4x + 9y) \n(D) (2x + 2y) 2 + y(4x + 5y) \n(E) (2x – y) 2 + 8y(2x + y)  Let's think first. Some random reasoning:

[Assistant] Others are requal to 4x2 + 9y2 + 12xy. The final answer: (B).


[User] Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?\nOptions:\n(A) 820 acres\n(B) 660 acres\n(C) 620 acres\n(D) 720 acres\n(E) 920 acres Let's think first. Some random reasoning:

[Assistant] 12 men 120 acres 36 days\n44 men ? 54 days\n120 * 44/12 * 54/36\n10 * 44 * 3/2\n44 * 15 = 660 The final answer: (B).


[User] A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?\nOptions:\n(A) P and A are cousins\n(B) P is the maternsl uncle of A\n(C) Q is the maternal grandfather of A\n(D) C and P are sisters\n(E) none Hmmm, my stream of consciousness:

[Assistant] P is the maternsl uncle of A So, the answer is (B).


[User]
Student: A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?\nOptions:\n(A) 5/12\n(B) 4/5\n(C) 5/4\n(D) 5/3\n(E) 12/5.
Another student: Let's say, hmmm...

[Assistant] Let Corn profit = 3x\nWheat profit = x\nTruffle Profit = 4/5 * 3x = 12/5 * x\nWheat Profit / Truffle Profit = x / [12/5 * x] = 5/12 Final answer: (A).


[User] Give stream of consciousness and then the final answer. In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?\nOptions:\n(A) 1680\n(B) 1800\n(C) 2000\n(D) 2100\n(E) 2300

[Assistant]
8p4 = 8 Ã— 7 Ã— 6 x 5 = 1680
The final answer: (A).


[User] Which of these numbers is different from the others?\nOptions:\n(A) 678\n(B) 690\n(C) 696\n(D) 702\n(E) 708 Stream of consciousness first, then make a decision:

[Assistant]
All of the numbers are multiples of 6. 702 is the only number that is also a multiple of 9.
Thus, the answer is (D).


[User] The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?\nOptions:\n(A) 22\n(B) 88\n(C) 16\n(D) 83\n(E) 82 Stream of consciousness:

[Assistant]
10 * 15 + 36 – 26 = 160/10 = 16
Thus, the answer is (C).


[User] Give stream of consciousness and then the final answer. What is the units digit of the expression 14^7−20^4?\nOptions:\n(A)  8\n(B)  3\n(C)  4\n(D)  6\n(E)  0

[Assistant]
I think answer on this one should be A too. Since we know that 14^7>20^4, as Will said one should always check if the number is positive.
The final answer: (A).


[User] Question: A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train.\nOptions:\n(A) 150 meter\n(B) 100 meter\n(C) 105 meter\n(D) 120 meter\n(E) 130 meter Random thoughts:

[Assistant] Speed = 90*(5/18) m/sec = 25 m/sec\nLength of Train (Distance) = Speed * Time\n(25) * 6 = 150 meter The final answer: (A).


[User]
Student: 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) 288\n(B) 200\n(C) 279\n(D) 992\n(E) 208.
Another student: Let's say, hmmm...

[Assistant] (800*3*3)/100 = 72\n920 + 72 = 992 Final answer: (D).


[User] 3 candidates in an election and received 6136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?\nOptions:\n(A) 46%\n(B) 49%\n(C) 57%\n(D) 59%\n(E) 61% Hmmm, my stream of consciousness:

[Assistant] Total number of votes polled = (6136 + 7636 + 11628) = 25400\nSo, Required percentage = 11628/25400 * 100 = 46% So, the answer is (A).


[User] Use some thinking to answer the following question. If x and y are unique prime integers, which of the following must be even?\nOptions:\n(A) x−y\n(B) x−2y\n(C) 2x−2y\n(D) 2x−y\n(E) xy^2

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


[User] What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?\nOptions:\n(A) 0%\n(B) 20% increase\n(C) 36% decrease\n(D) 1% decrease\n(E) Insufficient data OK. Let's think. Some random thoughts first:

[Assistant] (16/10)*(4/10) = 64/100 of original area\n64/100 is a 36% decrease from 100/100 -> The answer: (C).


[User] Question: In what time will a railway train 70 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) 7 sec\n(E) 1 sec Let's think first. Some random reasoning:

[Assistant] T = 70/36 * 18/5 = 7 sec The final answer: (D).


[User] A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 15 sec\n(B) 16 sec\n(C) 18 sec\n(D) 12 sec\n(E) 25 sec OK. Let's think. Some random thoughts first:

[Assistant] Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 210 * 2/35 = 12 sec The answer: (D).


[User] Q: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\nOptions:\n(A) 288\n(B) 2778\n(C) 279\n(D) 450\n(E) 278 Let's give some random thoughts before answering.

[Assistant]
10 * 150 = 1500\n3 * 100 + 5 * 150 = 1050\n1500 – 1050 = 450
Therefore, the answer is (D).


[User] A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 20 cm\n(B) 15 cm\n(C) 30 cm\n(D) 40 cm\n(E) 45 cm Let's think first. Stream of consciousness:

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


[User]
Some question: There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?\nOptions:\n(A) 12.\n(B) 9.\n(C) 8.\n(D) 7.\n(E) 6.
Some stream of consciousness:

[Assistant] 8 = 3 blue balls + 15 / 3 The answer: (C).


[User]
Student: Find the average of all the numbers between 6 and 34 which are divisible by 5.\nOptions:\n(A) 22\n(B) 20\n(C) 288\n(D) 277\n(E) 21.
Another student: Let's say, hmmm...

[Assistant] Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 = 20. Final answer: (B).


[User] Give a quick stream of consciousness before answering the following question. There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?\nOptions:\n(A)  1\n(B)  2\n(C)  46\n(D)  50\n(E)  97

[Assistant]
We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave.
The answer: (B).


[User] Find the largest 2 digit number which is exactly divisible by 88?\nOptions:\n(A) 88\n(B) 89\n(C) 99\n(D) 54\n(E) 90 Think first, then make a decision. Some random thoughts:

[Assistant] Largest 2 digit number is 99\nAfter doing 99 ÷ 88 we get remainder 11\nHence largest 2 digit number exactly divisible by 88 = 99 - 11 = 88 So the answer is (A).


[User] Question: Grace has 20 jellybeans in her pocket. She has 12 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 13\n(E) 17 Random thoughts:

[Assistant] The worst scenario is when she takes 12 red and 4 green, total of 16 jellybeans, and still doesn't have 3 distinct colors. But the next draw (17th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The final answer: (E).


[User]
Student: Find the probability that the number drawn is a factor of 50.\nOptions:\n(A) 1/25\n(B) 1/50\n(C) 3/25\n(D) 3/50\n(E) 7/50.
Another student: Let's say, hmmm...

[Assistant] The factors of 50 are 1, 2, 5, 10, 25, 50\nTherefore, required probability = 6/100 = 3/50. Final answer: (D).


[User] Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\nOptions:\n(A) 7!*1!\n(B) 7!*2!\n(C) 6!*2!\n(D) 8!*2!\n(E) 6!*2! Let's think first. Some random reasoning:

[Assistant] Total number of ways = 7!*2!. The final answer: (B).


[User] How much more would Rs.30000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 725\n(C) 992\n(D) 837\n(E) 723 Stream of consciousness first, then make a decision:

[Assistant]
30000(11/10)4 - 30000(6/5)2 = 723
Thus, the answer is (E).


[User] Give a quick stream of consciousness before answering the following question. It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now?\nOptions:\n(A) 7:30\n(B) 7:00\n(C) 8:00\n(D) 1:28\n(E) 2:40

[Assistant]
If it's 7:00 and 30 minutes pass buy, it will be 7:30
The answer: (A).


[User] A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 18\n(B) 77\n(C) 66\n(D) 55\n(E) 10 Think first, then make a decision. Some random thoughts:

[Assistant] 8/20 + 6/x = 1\nX = 10 days So the answer is (E).


[User] Q: At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/3%\n(B) 3 1/8%\n(C) 3 7/3%\n(D) 3 1/7%\n(E) 3 1/1% Let's give some random thoughts before answering.

[Assistant]
P = (P*30*R)/100\nR = 3 1/3%
Therefore, the answer is (A).


[User] John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 225 miles.\n(D) 265 miles.\n(E) 275 miles. Stream of consciousness:

[Assistant]
The total distance D traveled by John is given by\nD = 45 * 2 + 3 * 45 = 225 miles.
Thus, the answer is (C).


[User] Question: If the average (arithmetic mean) of the four numbers K, 3K + 3, 3K – 4 and 5K + 1 is 60, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  20\n(D)  23\n(E)  25 3/10 Let's think first. Some random reasoning:

[Assistant] K + 3K +3 + 3K - 4 + 5K +1 = 12K\n(12K)/4 = 60\n12K = 60 * 4 = 240\nK = 240/ 12 = 20. The final answer: (C).


[User] Give stream of consciousness and then the final answer. 3 candidates in an election and received 4136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?\nOptions:\n(A) 45%\n(B) 49%\n(C) 50%\n(D) 59%\n(E) 61%

[Assistant]
Total number of votes polled = (4136 + 7636 + 11628) = 23400\nSo, Required percentage = 11628/23400 * 100 = 50%
The final answer: (C).


[User] The average age of a class of 40 students is 15 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) 56 Years\n(C) 32 Years\n(D) 34 Years\n(E) 49 Years Let's think first. Stream of consciousness:

[Assistant]
Total age of students is 40X15 = 600 Years\nTotal age inclusive of teacher = 41X (15+1) = 656\nSo, Teacher's age is 656-600 = 56 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 15+(41X1) = 56 Years
So, the answer is (B).


[User] A small company employs 3 men and 4 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 women?\nOptions:\n(A)  1/14\n(B)  1/7\n(C)  20/70\n(D)  18/70\n(E)  1/2 Hmmm, my stream of consciousness:

[Assistant] Total ways to choose 4 employees from 8 employees = 8C4\nTwo women = 4C2\nTwo Men = 3C2\nP = (5C2 * 3C2)/8C2 = 18/70 hence So, the answer is (D).


[User]
Some question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 53 ounces of this substance?\nOptions:\n(A) 27\n(B) 36\n(C) 42\n(D) 22\n(E) 147
Some stream of consciousness:

[Assistant] 112 ounces of a substance has a volume of 48 cubic inches\n53 ounces of a substance has a volume of (48/112)*53 = 22 cubic inches The answer: (D).


[User] A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 12/28\n(B) 48/19\n(C) 16/48\n(D) 18/48\n(E) 12/64 Stream of consciousness:

[Assistant]
One day work of A and B = 1/2\nOne day work of B and C = 1/6\nOne day work of C and A = 1/8\n2(A + B + C) = 1/2 + 1/6 + 1/8\n2(A + B + C) = 19/24\n(A + B + C) = 19/48\nNumber of days required = 48/19 days.
Thus, the answer is (B).


[User] How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ?\nOptions:\n(A) 3\n(B) 1\n(C) 4\n(D) 0\n(E) 2 Let's think first. Stream of consciousness:

[Assistant]
A number ending with 7 can never be a perfect square.
So, the answer is (D).


[User] Q: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 5\n(E) 3 Let's give some random thoughts before answering.

[Assistant]
(30*30)/100 = 9%loss
Therefore, the answer is (A).


[User] A Train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.\nOptions:\n(A) 60 kmph\n(B) 75 kmph\n(C) 80 kmph\n(D) 85 kmph\n(E) 72 kmph Hmmm, my stream of consciousness:

[Assistant] In 12s the train crosses the pole and in 27 sec the train crosses one more stationary train\nIn 15 sec the train travels a distance of 300 mtrs\nSpeed = 300/15 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph So, the answer is (E).


[User] Give stream of consciousness and then the final answer. 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 83. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 672\n(C) 654\n(D) 642\n(E) 721

[Assistant]
8 * 83 = 664 – 10 = 654
The final answer: (C).


[User]
Some question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 65 sec\n(B) 16 sec\n(C) 87 sec\n(D) 99 sec\n(E) 96 sec
Some stream of consciousness:

[Assistant] Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 280 * 2/35 = 16 sec The answer: (B).


[User] A owner of a mart earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, he earns an income of:\nOptions:\n(A) 18\n(B) 21\n(C) 22\n(D) 20\n(E) 30 OK. Let's think. Some random thoughts first:

[Assistant] 2nd day he earns = 2(2 – 1)\n3rd day he earns = 2(3 – 1)\nOn 10th day he earns 2(10 -1) = 18 rupees The answer: (A).


[User]
Some question: The average of first 13 natural numbers is?\nOptions:\n(A) 5.2\n(B) 5.5\n(C) 7\n(D) 9\n(E) 10
Some stream of consciousness:

[Assistant] Sum of 13 natural no. = 182/2 = 91\nAverage = 91/13 = 7 The answer: (C).


[User] Give a quick stream of consciousness before answering the following question. Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\nOptions:\n(A) 40% of 160 + 1⁄3 of 240\n(B) 120% of 1200\n(C) 38 × 12 – 39 × 8\n(D) 1648 – 938 – 566\n(E) 6 1⁄2 of 140 – 2.5 × 306.4

[Assistant]
Others are equal to 144 whereas (b) equals 1440.
The answer: (B).


[User] Give a quick stream of consciousness before answering the following question. What is the Mode of the following data set S- {1,2,6,9,6,6,10}\nOptions:\n(A) 9\n(B) 6\n(C) 10\n(D) 1\n(E) 2

[Assistant]
Mode of a set is the data point that is repeated the most number of times. In the set given, 6 is repeated.
The answer: (B).