[User]
John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 75% Now, let's think a bit. Some random thoughts:

[Assistant]
Increase = (30/40)*100 = (3/4)*100 = 75%.
The final answer: (E).


[User]
Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2-2x+10
(D) x^2+2x+10
(E) x^2+4x+5 Stream of consciousness:

[Assistant]
Avg = [(x+2)^2 + (x-4)^2] / 2
Expanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10
Thus, the answer is (C).


[User]
question: 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?
Options:
(A) 227
(B) 269
(C) 266
(D) 298
(E) 225
answer: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/6
15 women's 1 day work = (1/6 - 10/100) = 1/15
1 woman's 1 day work = 1/225
1 woman alone can complete the work in 225 days. The answer is (E).
--
question: 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?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
answer: Stream of consciousness: Speed downstream = d/t = 75/(2 1/2) = 30 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (30 - 18)/2 = 6 kmph The answer is (B).
--
question: On a clock, how many times a day do the minute and hour hand overlap?
Options:
(A) 10
(B) 11
(C) 20
(D) 22
(E) 24
answer: Stream of consciousness: 22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day. The answer is (D).
--
question: Find a a prime number from the options below.
Options:
(A) 69
(B) 70
(C) 71
(D) 72
(E) 74
answer:

[Assistant]
Stream of consciousness: Clearly, 71 is a prime number. The answer is (C).
--


[User]
q: The average of first 9 odd numbers is?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
a: Stream of consciousness: Sum of 9 odd no. = 90
Average = 81/9 = 9 The answer is (E).

question: A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?
Options:
(A) 1/4
(B) 1/6
(C) 1/10
(D) 1/20
(E) 1/50
answer: Stream of consciousness: If the last digit is 0, 2, 4, 6, or 8, the number is even and therefore not prime. If the last digit is 5, the number is divisible by 5 and therefore not prime. The only possibilities are 1, 3, 7, and 9. So the probability is approximately 1/4 (answer A). We say approximately because there is a certain degree of randomness in the distribution of prime numbers. The answer is (A).

q: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 9179
(B) 3000
(C) 2997
(D) 2678
(E) 2682
a: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 The answer is (B).

question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Options:
(A) 12
(B) 14
(C) 27
(D) 53
(E) 86
answer: Stream of consciousness: In this series, each number is repeated, then 13 is subtracted to arrive at the next number. The answer is (B).

q: What percent is 120 of 60?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 200 %
(D) 140 1/3 %
(E) 143 1/3 %
a: Stream of consciousness: 120/60 = 2/1
2 × 100 = 200 % The answer is (C).

q: Using all the letters of the word "THURSDAY", how many different words can be formed?
Options:
(A) 7
(B) 8!
(C) 9
(D) 3
(E) 1
a:

[Assistant]
Stream of consciousness: Total number of letters = 8
Using these letters the number of 8 letters words formed is ⁸P₈ = 8!. The answer is (B).


[User]
Q: Find 96 ×× 98
Options:
(A) 92/8
(B) 92/12
(C) 92/13
(D) 92/10
(E) 92/11
A: OK... Stream of consciousness: Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So
The answer is (A).

Q: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 140kg then find the average weight of all the 7 rounds?
Options:
(A) 98.5 kgs
(B) 80 kgs
(C) 76.5 kgs
(D) 67.5 kgs
(E) 58.2 kgs
A: OK... Stream of consciousness: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 140/7 = 80 kgs
The answer is (B).

Q: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.150. Find the unknown rate of two towels?
Options:
(A) 400
(B) 450
(C) 500
(D) 550
(E) 600
A: OK... Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450
The answer is (B).

Q: 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?
Options:
(A) 7
(B) 13
(C) 19
(D) 10
(E) None
A:

[Assistant]
OK... Stream of consciousness: 1/6 â€“ 1/15 = 1/10
B can do the work in 10 days
The answer is (D).


[User]
Question: A 28 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?
Options:
(A) 12
(B) 8
(C) 88
(D) 77
(E) 14 Let's think first. Some random reasoning:

[Assistant]
1: 2/5 = 5: 2
2/7 * 28 = 8 The final answer: (B).


[User]
Student: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 8 1/3%
(C) 3 5/3%
(D) 5 1/3%
(E) 3 1/7%.
Another student: Let's say, hmmm...

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


[User]
Which among the following is the greatest?
Options:
(A) 2^3^2
(B) 2^2^3
(C) 3^2^3
(D) 3^3^3
(E) 5^3^3
--
2^3^2 = 29
2^2^3 = 28
3^2^3 = 38
3^3^3 = 327
As 327 > 38, 29 > 28 and 327 > 29. Hence 327 is the greatest among the four. So the answer is: (D).
-----
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:0
(C) 1:87
(D) 1:6
(E) 1:1
--
T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 So the answer is: (A).
-----
Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 3/140
(B) 1/280
(C) 3/280
(D) 4/56
(E) 77/280
--

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


[User]
question: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?
Options:
(A)  3
(B)  4
(C)  6
(D)  8
(E)  24
answer: Stream of consciousness: Mother has a fixed place and father, so there are 4! ways to arrange the children, hence The answer is (E).
--
question: There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.
Options:
(A) Sudhir had 34 cars, Arvind had 21 cars and Gauri had 12 cars.
(B) Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.
(C) Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.
(D) Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.
(E) Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars.
answer: Stream of consciousness: Sudhir Arvind Gauri
Finally 24 24 24
Before Gauri’s transaction 12 12 48
Before Arvind’s transaction 6 42 24
Before Sudhir’ s transaction 39 21 12 The answer is (C).
--
question: A corporation triples its annual bonus to 50 of its employees. What percent Q of the employees’ new bonus is the increase?
Options:
(A) 50%
(B) 662⁄3%
(C) 100%
(D) 200%
(E) 300%
answer: Stream of consciousness: Q of the employees’ new bonus is the increase Hence The answer is (B).
--
question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?
Options:
(A) 1
(B) 3/2
(C) 2
(D) 3
(E) 6
answer:

[Assistant]
Stream of consciousness: Volume of prism = Area of base * height = 1/2* (square root of 2) * (square root of 2)*3 = 3 The answer is (D).
--


[User]
question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Options:
(A) 25/153
(B) 28/153
(C) 5/17
(D) E=4/9
(E) E=12/17
answer: Stream of consciousness: P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17. The answer is (E).

q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220070
a: Stream of consciousness: (555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070 The answer is (E).

question: A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 12/11
(B) 12/24
(C) 13/16
(D) 18/12
(E) 14/23
answer: Stream of consciousness: One day work of A and B = 1/1
One day work of B and C = 1/2
One day work of C and A = 1/3
2(A + B + C) = 1/1+ 1/2 + 1/3
2(A + B + C) = 11/6
(A + B + C) = 11/12
Number of days required = 12/11 days. The answer is (A).

q: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?
Options:
(A) 4
(B) 5
(C) 8
(D) 10
(E) 12
a: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).

question: A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 20 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 180
(C) 70
(D) 120
(E) 12
answer: Stream of consciousness: 1/18 - 1/20 = 1/180
180 minutes The answer is (B).

question: What will come in place of the x in the following Number series? 612, 207, 72, 27, 12, x
Options:
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
answer:

[Assistant]
Stream of consciousness: 612
612 / 3 + 3 = 207
207 / 3 + 3 = 72
72 / 3 + 3 = 27
27 / 3 + 3 = 12
12 / 3 + 3 = 7 The answer is (B).


[User]
Give stream of consciousness and then the final answer. The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?
Options:
(A) 20
(B) 22
(C) 18
(D) 19
(E) 21

[Assistant]
The total of seven numbers = 7X21 = 147
The total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126
So, the middle number is (147 - 126 ) = 21
The final answer: (E).


[User]
question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer.
Options:
(A) (x + 2y) (3x + 2y)
(B) (x + 2y) 2 + 2x(x + 2y)
(C) (3x + 2y) 2 – 2x(3x + 2y)
(D) 3x(x + 2y)  + 2y(x + 2y)
(E) x(3x + 2y)  – 2y(3x – 2y)
answer: Stream of consciousness: Others are equal to 3x2 + 8xy + 4y2 The answer is (E).

q: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 50%
(C) 57%
(D) 60%
(E) 65%
a: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

question: The average age of applicants for a new job is 32, 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?
Options:
(A) 8
(B) 77
(C) 7
(D) 18
(E) 34
answer: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 32 - 8 = 24
Maximum age = average + 1 Standard deviation = 32+ 8 = 40
Maximum number of different ages of the applicants = 30 - 24 + 1 = 7 The answer is (C).

q: In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?
Options:
(A) V and U
(B) V and T
(C) U and S
(D) L and M
(E) T and U
a: Stream of consciousness: L and M should serve on A The answer is (D).

question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 32
(E) 34
answer: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (B).

question: 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?
Options:
(A) 125
(B) 627
(C) 153
(D) 721
(E) 159
answer:

[Assistant]
Stream of consciousness: 44 + 28 + 10 = 82%
100 – 82 = 18%
850 * 18/100 = 153 The answer is (C).


[User]
question: A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?
Options:
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
answer: Stream of consciousness: Speed = 99 * 5/18 = 55/2 m/sec
Total distance covered = 300 + 195 = 495 m
Required time = 495 * 2/55 = 18 sec The answer is (B).

q: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 15
a: Stream of consciousness: 550 = 2*222 + (22*4) + 9*2
K weight of 600 = 2 +4+9 = 15 The answer is (E).

question: How many positive integers less than 60 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
answer: Stream of consciousness: 1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers. The answer is (C).

q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?
Options:
(A) 20 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
a: Stream of consciousness: Answer = A. 20 miles
Relational speed = 110 - 100 = 10 miles per hour
In 6 hours, difference = 10 * 6 = 60 miles
Fast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles The answer is (A).

question: 1,2,2,4,8,32,?(mult)
Options:
(A) 2816
(B) 1816
(C) 2812
(D) 2817
(E) 6816
answer: Stream of consciousness: Each number is the product of the previous two numbers, ie 8*32 = 2816. The answer is (A).

question: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Options:
(A) 120
(B) 126
(C) 252
(D) 560
(E) 1260
answer:

[Assistant] Stream of consciousness: My ans is 16C3 = 560 The answer is (D).


[User]
q: Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase?
Options:
(A) 5%
(B) 10%
(C) 15%
(D) 20%
(E) 25%
a: Stream of consciousness: Increase = (10/100)*100 = (1/10)*100 = 10%. The answer is (B).
--
q: 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?
Options:
(A) 8 km/hr
(B) 40 km/hr
(C) 12 km/hr
(D) 16 km/hr
(E) None of these
a: Stream of consciousness: Distance covered by the car = 80 × 9 = 720 km
\ Speed = 720⁄6 = 120 km/hr
\ Speed gain = 120 – 80 = 40 km/hr The answer is (B).
--
q: 70 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 105
(D) 30
(E) 160
a:

[Assistant]
Stream of consciousness: Final number = Initial number + 50%(original number) = 70 + 50%(70) = 70 + 35 = 105. The answer is (C).
--


[User]
question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 360
(D) 396
(E) 484
answer: Stream of consciousness: I will go with C (pending elements to match is 2^2*3^2*10^1 = 360 The answer is (C).

q: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 420 feet in circumference.After how many minutes are the three of them together again?
Options:
(A) 5 mins
(B) 10 mins
(C) 15 mins
(D) 3 mins
(E) 7 mins
a: Stream of consciousness: The time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 7 mins. The answer is (E).

question: If n is an integer, then the least possible value of |15 - 8n| is?
Options:
(A) 0
(B) 2
(C) 1
(D) 3
(E) 5
answer: Stream of consciousness: |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. The answer is (C).

q: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 32 sec
(C) 12 sec
(D) 85 sec
(E) 56 sec
a: Stream of consciousness: Answer: Option A
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

question: A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?
Options:
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60
answer: Stream of consciousness: Speed = 27 * 5/18 = 15/2 m/sec
Total distance covered = 250 + 200 = 450 m
Required time = 450 * 2/15 = 60 sec The answer is (E).

question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 228
(B) 162
(C) 5528
(D) 256
(E) 191
answer:

[Assistant]
Stream of consciousness: 12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km. The answer is (B).


[User]
q: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Options:
(A) Rs.17
(B) Rs.76
(C) Rs.15
(D) Rs.72
(E) Rs.71
a: Stream of consciousness: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15. The answer is (C).

question: The average of first 10 odd numbers is?
Options:
(A) 11
(B) 10
(C) 99
(D) 77
(E) 65
answer: Stream of consciousness: Sum of 10 odd no. = 100
Average = 100/10 = 10 The answer is (B).

q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
a: Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).

question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Options:
(A) 8!
(B) 1
(C) 7
(D) 6
(E) 5
answer: Stream of consciousness: Total number of letters = 8
Using these letters the number of 8 letters words formed is 8P8 = 4. The answer is (A).

q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Options:
(A) 27
(B) 29
(C) 36
(D) 34
(E) 35
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90
So, the middle number is (126 - 90 ) = 36 The answer is (C).

q: 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?
Options:
(A) 22
(B) 12
(C) 88
(D) 99
(E) 27
a:

[Assistant]
Stream of consciousness: 1/8 + 1/24 = 1/6
6 * 2 = 12 The answer is (B).


[User]
What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 64√5
(B) 64√9
(C) 44√3
(D) 64√3
(E) 14√3 Stream of consciousness first, then make a decision:

[Assistant]
Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;
Thus, the answer is (D).


[User]
Q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?
Options:
(A) 220010
(B) 145778
(C) 220110
(D) 235467
(E) 220001 Let's give some random thoughts before answering.

[Assistant]
(555 + 445) * 2 * 110 + 10 = 220000 + 10 = 220010
Therefore, the answer is (A).


[User]
Some question: A train 640 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 144 kmph
(D) 71 kmph
(E) 88 kmph
Some stream of consciousness:

[Assistant] S = 640/16 * 18/5 = 144 kmph The answer: (C).


[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 7 ?
Options:
(A) 3
(B) 1
(C) 4
(D) 0
(E) 2
a: Stream of consciousness: A number ending with 7 can never be a perfect square. The answer is (D).

question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
answer: Stream of consciousness: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2 The answer is (B).

q: 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?
Options:
(A)  32
(B)  64
(C)  50
(D)  144
(E)  160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(20/100)*Workers = x+16 = > x = 32 The answer is (A).

question: A 28 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?
Options:
(A) 12
(B) 8
(C) 88
(D) 77
(E) 14
answer: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 28 = 8 The answer is (B).

q: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/20
(E) 1/40
a: Stream of consciousness: 25 + 15 + 55 = 95% 100 - 95 = 5% to all others The answer is (D).

q: Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?
Options:
(A) 11.25
(B) 12.25
(C) 13.25
(D) 9.25
(E) 10.75
a:

[Assistant] Stream of consciousness: This is a simple multiplication series. Each number is 7 times greater than the previous number. The answer is (B).


[User]
If 10 crates have 94 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 60 Let's think first. Stream of consciousness:

[Assistant]
Each crate requires 6 apples and totally there are 10 crates so required apples = 10 * 6 = 60
So, the answer is (E).


[User]
question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Options:
(A) Rs.1185
(B) Rs.1285
(C) Rs.1385
(D) Rs.1485
(E) Rs.1495
answer: Stream of consciousness: 22/7 * 14 * 3/2 * 3/2 = 99 m2
99 * 15 = 1485 The answer is (D).

q: In an office, 30 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?
Options:
(A)  480
(B)  48
(C)  50
(D)  144
(E)  160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(30/100)*Workers = x+16 = > x = 48 The answer is (B).

question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:7
(C) 1:9
(D) 1:5
(E) 1:1
answer: Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).

q: Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. what percent of the families in City X owned a personal computer in 1998?
Options:
(A) 50%
(B) 52%
(C) 56%
(D) 70%
(E) 74%
a: Stream of consciousness: Say a 100 families existed in 1994 then the number of families owning a computer in 1994 - 40
Number of families owning computer in 1998 = 40 * 130/100 = 52
Number of families in 1998 = 104
The percentage = 52/104 * 100 = 50%. The answer is (A).

question: The average of first 10 even numbers is?
Options:
(A) 17
(B) 199
(C) 16
(D) 11
(E) 123
answer: Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11 The answer is (D).

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?
Options:
(A) 720
(B) 6
(C) 2880
(D) 5040
(E) 10080
answer:

[Assistant] Stream of consciousness: 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 answer is (B).


[User]
Q: 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?
Options:
(A) 41
(B) 63
(C) 72
(D) 63
(E) 50 Let's give some random thoughts before answering.

[Assistant]
44 + 28 + 10 = 82%
100 – 82 = 18%
400 * 18/100 = 72
Therefore, the answer is (C).


[User]
Question: How long does a train 110 m long traveling at 72 kmph takes to cross a bridge of 170 m in length?
Options:
(A) 16.5
(B) 16.0
(C) 16.4
(D) 14
(E) 16.1 Let's think first. Some random reasoning:

[Assistant]
D = 110 + 170 = 280 m
S = 72 * 5/18 = 20
T = 280 * 1/20 = 14 sec The final answer: (D).


[User]
question: How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26
answer: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 5*4 = 20 The answer is (C).

q: 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?
Options:
(A) 482
(B) 337
(C) 277
(D) 288
(E) 2781
a: Stream of consciousness: 20000(11/10)4 - 20000(6/5)2 = 482 The answer is (A).

question: A printer print a page in 4 second,approx how long time it will take to print 190 page report?
Options:
(A) 12 Min 40 Sec
(B) 14 Min 40 Sec
(C) 16 Min 40 Sec
(D) 18 Min 40 Sec
(E) 11 Min 40 Sec
answer: Stream of consciousness: 1 Page = 4 Sec
30 Page = 120 Sec (2 Min)
190 Page = 12 Min 40 Sec The answer is (A).

q: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96 answer
(E) 95
a: Stream of consciousness: The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer is (D).

question: 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?
Options:
(A) 22
(B) 88
(C) 16
(D) 83
(E) 82
answer: Stream of consciousness: 10 * 15 + 36 – 26 = 160/10 = 16 The answer is (C).

question: A small company employs 5 men and 3 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?
Options:
(A)  1/14
(B)  1/7
(C)  2/7
(D) 1/2
(E)  3/7
answer:

[Assistant]
Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C4
Two women = 3C2
Two Men = 5C2
P = (5C2 * 3C2)/8C2 = 3/7 hence The answer is (E).


[User]
q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 4556
(B) 2354
(C) 4576
(D) 6768
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 10 km/hr downstream and 4 km/hr upstream.
Options:
(A) 7 kmph
(B) 8 kmph
(C) 9 kmph
(D) 7 kmph
(E) 6 kmph
answer: Stream of consciousness: Speed in still water = (10 + 4)1/2 kmph = 7 kmph. The answer is (A).

q: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 390 m long?
Options:
(A) 40 sec
(B) 60 sec
(C) 45 sec
(D) 48 sec
(E) 50 sec
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 750 m
Required time = 750 * 2/25 = 40 sec The answer is (B).

question: The difference between the local value and the face value of 7 in the numeral 32675149 is
Options:
(A) 69950
(B) 69993
(C) 69997
(D) 70000
(E) 01000
answer: Stream of consciousness: (Local value of 7) - (Face value of 7) = (70000 - 7) = 69993 The answer is (B).

q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 510 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 34/15
a: Stream of consciousness: Distance traveled by Eddy = 510 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 510/3 = 170 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 170/75 = 34/15 The answer is (E).

q: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 84
(D) 94
(E) 168
a:

[Assistant]
Stream of consciousness: 6x = 8y = 10z
3x = 4y = 5z
3(4*5) = 4(3*5) = 5(3*4)
Addition = 20+15+12 = 47
Answer would be multiple of 47 which is 94 The answer is (D).


[User]
Give stream of consciousness and then the final answer. If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these

[Assistant]
Here, l = 6 and m = 30
Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number
The final answer: (A).


[User]
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3456
(B) 4567
(C) 4789
(D) 5678
(E) 5184
--
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 So the answer is: (E).
-----
How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.
Options:
(A) 22
(B) 34
(C) 73
(D) 26
(E) 11
--
Single digit numbers = 4
Double digit numbers = 4 x 3 = 12
Three digit numbers = 3 x 3 x 2 x 1 = 18
Total = 34 So the answer is: (B).
-----
One man selling a lottery there are 10 prizes and 25 no prizes. if a lottery is drawn randomly, What is the probability of getting a prize?
Options:
(A) 1/5
(B) 2/7
(C) 2/9
(D) 3/11
(E) 4/11
--

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


[User]
Use some thinking to answer the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220070

[Assistant] (555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070 So the final answer is (E).


[User]
A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 84
(D) 188
(E) 211 Let's think first. Stream of consciousness:

[Assistant]
S = 140/6 * 18/5 = 84kmph
So, the answer is (C).


[User]
45 pupil,out of them 12 in debate only and 22 in singing only.then how many in both?
Options:
(A) 9
(B) 10
(C) 11
(D) 12
(E) 13 Think first, then make a decision. Some random thoughts:

[Assistant] The intersection for two = 45 - 12 - 22 = 11 play both games. So the answer is (C).


[User]
Q: 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?
Options:
(A) 22
(B) 88
(C) 16
(D) 83
(E) 82 Let's give some random thoughts before answering.

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


[User]
Question: John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 60% Random thoughts:

[Assistant] Increase = (30/50)*100 = (3/5)*100 = 60%. The final answer: (E).


[User]
question: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?
Options:
(A) 16%
(B) 50%
(C) 17%
(D) 17.61%
(E) 17.56%
answer: Stream of consciousness: Increase = (30/60)*100 = (3/6)*100 = 50%. The answer is (B).
--
question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 9179
(B) 3000
(C) 2997
(D) 2678
(E) 2682
answer: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 The answer is (B).
--
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. 101 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 100 matches
(E) 87 matches
answer: Stream of consciousness: D
100 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 100 matches were playe The answer is (D).
--
question: The average of seven numbers is 20. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 29
(C) 31
(D) 41
(E) 35
answer:

[Assistant]
Stream of consciousness: The total of seven numbers = 7X20 = 140
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (140 - 99 ) = 41 The answer is (D).
--


[User]
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?
Options:
(A) 10
(B) 20
(C) 88
(D) 77
(E) 14 OK. Let's think. Some random thoughts first:

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


[User]
question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 6 kmph
(C) 7 kmph
(D) 8 kmph
(E) 9 kmph
answer: Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph The answer is (D).

q: The average of six results is 15 and that of the first five is 13. The sixth result is?
Options:
(A) 20
(B) 25
(C) 15
(D) 22
(E) 18
a: Stream of consciousness: 6 * 15 â€“ 5 * 13 = 25 The answer is (B).

question: A car finishes a journey in five hours at the speed of 100 km/hr. If the same distance is to be covered in two hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 150 km/hr
(D) 16 km/hr
(E) None of these
answer: Stream of consciousness: Distance covered by the car = 100 × 5 = 500 km
\ Speed = 500⁄2 = 250 km/hr
\ Speed gain = 250 – 100 = 150 km/hr The answer is (C).

q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 11
(B) 16
(C) 18
(D) 10
(E) 14
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The answer is (B).

question: 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%?
Options:
(A) 2277
(B) 2882
(C) 2800
(D) 2677
(E) 2211
answer: Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 – 5x/100 = 144
2x/100 = 56 è x = 2800 The answer is (C).

question: Twenty five percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $10 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $2125m
(B) $25m
(C) $200m
(D) $300m
(E) $153m
answer:

[Assistant]
Stream of consciousness: 25/100*1/5*(total) = 10
1/20*(total) = 10
(total) = 10*20 = 200 The answer is (C).


[User]
q: Divide Rs.32000 in the ratio 3:7?
Options:
(A) 12000, 20000
(B) 9600, 22400
(C) 12000, 20007
(D) 12000, 20006
(E) 12000, 20001
a: Stream of consciousness: 3/10 * 32000 = 9600
7/8 * 32000 = 22400 The answer is (B).

question: Divide Rs.32000 in the ratio 1:9?
Options:
(A) 12000, 20000
(B) 12000, 200098
(C) 12000, 20007
(D) 3200, 28800
(E) 12000, 20001
answer: Stream of consciousness: 1/10 * 32000 = 3200
9/10 * 32000 = 28800 The answer is (D).

q: What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x
Options:
(A) 66
(B) 68
(C) 70
(D) 72
(E) 74
a: Stream of consciousness: 8
8 x 2 - 6 = 10
10 x 2 - 6 = 14
14 x 2 - 6 = 22
22 x 2 - 6 = 38
38 x 2 - 6 = 70 The answer is (C).

question: 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?
Options:
(A) 7 1/9
(B) 7 1/8
(C) 7 1/3
(D) 7 1/2
(E) 7 1/1
answer: Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).

q: Find the odd man out.10, 25, 45, 50, 66, 70, 80
Options:
(A) 45
(B) 50
(C) 66
(D) 70
(E) 80
a: Stream of consciousness: Each of the numbers except 66 is multiple of 5. The answer is (C).

q: One copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 1,000 copies?
Options:
(A) 20 minutes
(B) 30 minutes
(C) 40 minutes
(D) 50 minutes
(E) 60 minutes
a:

[Assistant]
Stream of consciousness: Total work done by both machines in a minute = 15 + 10 = 25 copies
Total number of copies required = 1000
Time = 1000/25 = 40 mins The answer is (C).


[User]
Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. what percent of the families in City X owned a personal computer in 1998?
Options:
(A) 50%
(B) 52%
(C) 56%
(D) 70%
(E) 74% OK. Let's think. Some random thoughts first:

[Assistant]
Say a 100 families existed in 1994 then the number of families owning a computer in 1994 - 40
Number of families owning computer in 1998 = 40 * 130/100 = 52
Number of families in 1998 = 104
The percentage = 52/104 * 100 = 50%. The answer: (A).


[User]
Give a quick stream of consciousness before answering the following question. A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 12 metre
(C) 120 metre
(D) 1200 metre
(E) 130 metre

[Assistant]
Number of times wheel moves in 1 hour = 10 * 60 = 600
:. Distance moves = (600 *20) cms = 12000 cms
In metres = 120 metre
The answer: (C).


[User]
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 28
(C) 26
(D) 27
(E) 21

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec So the answer is: (A).

For some integer y, y^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 29
(B) 30
(C) 31
(D) 38
(E) 41

Hint: y^2-5 (y is an integer) is never multiple of 3 (try to prove this), hence 30 is out. So the answer is: (B).

Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 5678
(B) 7654
(C) 9944
(D) 9950
(E) 10000

Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944 So the answer is: (C).

The average of first 14 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 11
(E) 15

[Assistant]
Sum of 14 even numbers = 14 * 15 = 210
Average = 210/14 = 15 So the answer is: (E).


[User]
Use some thinking to answer the following question. Find the remainder when 6^23 is divided by 5 ?
Options:
(A) 3
(B) 2
(C) 1
(D) 0
(E) 4

[Assistant]
6^23 = 6^(4*5+3) = 6^(20) * 6^3 last 3 digits = 216
216/5 remainder = 1 So the final answer is (C).


[User]
Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/9
(B) q/5
(C) q/6
(D) q/7
(E) q/8 Let's think first. Stream of consciousness:

[Assistant]
Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9
So, the answer is (A).


[User]
q: There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.
a: OK... 7 = 3 blue balls + 12 / 3
The answer is (D).

q: A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 32
(C) 26
(D) 21
(E) 14
a: OK... Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 260 + 140 = 400 m
Required time = 400 * 2/25 = 32 sec
The answer is (B).

q: What percent is 120 of 90?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
a:

[Assistant]
OK... 120/90 = 4/3
4/3 × 100 = 400/3 = 133 1/3 %
The answer is (A).


[User]
The difference between the local value and the face value of 7 in the numeral 32675149 is
Options:
(A) 69950
(B) 69993
(C) 69997
(D) 70000
(E) 01000

(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993 So the answer is: (B).

A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be
Options:
(A) 150
(B) 200
(C) 250
(D) 300
(E) 350

(1-(1/16))(1-(1/15))(1-(5/7)) of Income = 50
Hence income = 200 So the answer is: (B).

How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 17
(B) 19
(C) 11
(D) 12
(E) 10

(80/100) * 40 – (4/5) * 25
32 - 20 = 12 So the answer is: (D).

An analyst will recommend a combination of 4 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 8 stocks are possible?
--
Options:
(A) 12
(B) 19
(C) 90
(D) 180
(E) 720

[Assistant] 5C4 * 4C2 * 3C2 = 5*6*3 = 90. So the answer is: (C).


[User]
Q: The average mark obtained by 22 candidates in an examination is 48. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 0
(C) 49
(D) 58
(E) 66 Let's give some random thoughts before answering.

[Assistant]
It is clear that 22 x 48 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 66
Therefore, the answer is (E).


[User]
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 8/2 %
(C) 22 1/9 %
(D) 22 1/2 %
(E) 22 2/2 % Think first, then make a decision. Some random thoughts:

[Assistant]
9 = (1*40*R)/100
R = 22 1/2 % So the answer is (D).


[User]
q: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Options:
(A)  1/14
(B)  1/7
(C)  3/7
(D)  2/7
(E)  1/2
a: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C4
Two women = 5C2
Two Men = 3C2
P = (5C2 * 3C2)/8C2 = 3/7 hence The answer is (C).

question: If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =
Options:
(A)  5040
(B)  2520
(C)  1890
(D)  1260
(E)  630
answer: Stream of consciousness: The integer should be divisible by: 2, 3, 4, 5, 6, 7, 8 and 9, that is 2, 3, 2^2, 5, 2*3, 7, 2^3 and 3^2. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, L/2 is (7 * 5 * 3^2 * 2^3)/2 = 7*5*9*4 = 1260. The answer is (D).

q: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every nine minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Options:
(A) 150%
(B) 200%
(C) 250%
(D) 300%
(E) 350%
a: Stream of consciousness: Dolphin once in 3 min;
Beluga once in 9 min;
So, dolphin comes up 3 times frequently than beluga, which is 300% (9-3)/2*100. The answer is (D).

question: In what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 5
(C) 4
(D) 6
(E) 7
answer: Stream of consciousness: T = 64/46 * 18/5 = 5 sec The answer is (B).

q: A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 54 kmph
(D) 72 kmph
(E) 88 kmph
a: Stream of consciousness: S = 320/16 * 18/5 = 72 kmph The answer is (D).

q: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?
Options:
(A) 5%
(B) 10%
(C) 25%
(D) 40%
(E) 55%
a:

[Assistant] Stream of consciousness: Assuming that the technician makes a round-trip of 40 miles (each way is 20 miles), then the technician would have completed 20 miles + 2 miles (10% of the remaining 20 miles). Therefore, the total is 22 miles. 22miles/40 miles is 55% of the entire trip. The answer is (E).


[User]
question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
answer: Stream of consciousness: 12/ (2 * 2) = 3 days The answer is (A).

q: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 40, 30 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 60, 20 kmph
a: Stream of consciousness: Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph The answer is (E).

question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 8/2 %
(C) 22 1/9 %
(D) 22 1/2 %
(E) 22 2/2 %
answer: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).

q: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 26
(C) 40
(D) 42
(E) 49
a: Stream of consciousness: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. The answer is (C).

question: A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 8
(E) 3
answer: Stream of consciousness: Speed downstream = d/t = 78/(4) = 20 kmph
Speed upstream = d/t = 56/(4) = 14 kmph
The speed of the stream = (20 - 14)/2 = 3 kmph The answer is (E).

question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 50%
(C) 62.5%
(D) 115%
(E) 240%
answer:

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


[User]
Use some thinking to answer the following question. Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
Options:
(A) 1
(B) 2
(C) 3 min
(D) 4
(E) 5

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


[User]
question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 349
(B) 349
(C) 342
(D) 346
(E) 344
answer: Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).

q: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 7
a: Stream of consciousness: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted The answer is (A).

question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
Options:
(A) 35000
(B) 40000
(C) 50000
(D) 60000
(E) None
answer: Stream of consciousness: Suppose N invested Rs. x. Then, 40000/x = 4/5 or y = [40000 x 5/ 4] = 50000. The answer is (C).

q: A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ?
Options:
(A) 40 sec
(B) 35 sec
(C) 33 sec
(D) 42 sec
(E) 41 sec
a: Stream of consciousness: Time taken to cross a moving person = length of train/ relative speed
Time taken = 400/((50-14) (5/18) = 400/ 36*(5/18) = 400/10 = 40 sec The answer is (A).

question: The edge of a cube is 6a cm. Find its surface?
Options:
(A) 216a2
(B) 24a4
(C) 24a1
(D) 24a2
(E) 24a7
answer: Stream of consciousness: 6a2 = 6 * 6a * 6a = 216a2 The answer is (A).

question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 60 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 25
(C) s. 16.6
(D) s. 26
(E) s. 25.6
answer:

[Assistant]
Stream of consciousness: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 60. So, the amount with remaining 6 people = 210 - 60 = Rs. 150
The average amount with them = 150/6 = Rs. 25 The answer is (B).


[User]
question:10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Options:
(A) 6
(B) 7 2⁄3
(C) 6 2⁄3
(D) 6 1⁄3
(E) None of these
answer:(C)
Stream of consciousness:10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work
\ Time taken = 60⁄9 days = 62⁄3 days

question:A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 10 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
answer:(A)
Stream of consciousness:Speed downstream = d/t = 95/(2 1/2) = 38 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (38 - 18)/2 = 10 kmph

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?
Options:
(A) Rs.482
(B) Rs.424
(C) Rs.842
(D) Rs.512
(E) Rs.524
answer:

[Assistant]
(A)
Stream of consciousness:20000(11/10)4 - 20000(6/5)2 = 482


[User]
question: How much 60% of 50 is greater than 50% of 30?
Options:
(A) 18
(B) 91
(C) 11
(D) 17
(E) 15
answer: Stream of consciousness: (60/100) * 50 – (50/100) * 30
30 - 15 = 15 The answer is (E).
--
question: There are 39 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 55
(D) 58
(E) 63
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 39 + 28 - 12 = 55. The answer is (C).
--
question: A car traveled from San Diego to San Francisco at an average speed of 66 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36.
(D) 42.
(E) 44.
answer: Stream of consciousness: Let the time taken be = x
One way distance = 66x
Total distance traveled = 2 * 66x = 132x
Total time taken = x + 2x = 3x
Average speed = 132x/3x = 44 The answer is (E).
--
question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Options:
(A) 8
(B) 8!
(C) 7!
(D) 7
(E) 5
answer:

[Assistant]
Stream of consciousness: Total number of letters = 8
Using these letters the number of 8 letters words formed is ⁸P₈ = 8!. The answer is (B).
--


[User]
Give stream of consciousness and then the final answer. How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?
Options:
(A) 16.5
(B) 16.0
(C) 15
(D) 16.8
(E) 16.1

[Assistant]
D = 110 + 140 = 250 m
S = 60 * 5/18 = 50/3
T = 250 * 3/50 = 15 se
The final answer: (C).


[User]
q: Calculate the circumference of a circular field whose radius is 7 centimeters.
Options:
(A) 11 π cm
(B) 15 π cm
(C) 1 π cm
(D) 4 π cm
(E) 14 π cm
a: Circumference C is given by
C = 2πr = 2π*7 = 14 π cm The answer is (E).
--
q: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
a: Speed downstream = 60 + 30 = 90 kmph
Speed upstream = 60 - 30 = 30 kmph The answer is (D).
--
q: Find the odd man out
444, 300, 200, 136, 87, 84, 80
Options:
(A) 80
(B) 87
(C) 136
(D) 200
(E) 444
a: All are even natural numbers except 87. The answer is (B).
--
q: A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 400
(B) 600
(C) 750
(D) 2400
(E) 3200
a:

[Assistant]
Answer A) 10800 yards need 1200 lbs
1 Yard will need 1200/10800 = 1/9 lbs
3600 Yards will need 1/9* 3600 Yards = 400lbs The answer is (A).
--


[User]
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for three years?
Options:
(A) 29893
(B) 27773
(C) 29989
(D) 26100
(E) 29883 Now, let's think a bit. Some random thoughts:

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


[User]
question: The edge of a cube is 3a cm. Find its surface?
Options:
(A) 24a8
(B) 24a4
(C) 24a1
(D) 54a2
(E) 24a7
answer: Stream of consciousness: 6a2 = 6 * 3a * 3a = 54a2 The answer is (D).

q: 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%?
Options:
(A) 8279
(B) 2890
(C) 2800
(D) 2730
(E) 3702
a: Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 – 5x/100 = 144
2x/100 = 56 è x = 2800 The answer is (C).

question: A train 640 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 144 kmph
(D) 71 kmph
(E) 88 kmph
answer: Stream of consciousness: S = 640/16 * 18/5 = 144 kmph The answer is (C).

q: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 6 kmph
(C) 7 kmph
(D) 8 kmph
(E) 9 kmph
a: Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph The answer is (D).

question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 140 sec
(B) 160 sec
(C) 176 sec
(D) 150 sec
(E) 170 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 140 sec The answer is (A).

question: Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Options:
(A) 387
(B) 736
(C) 300
(D) 345
(E) 635
answer:

[Assistant]
Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300 The answer is (C).


[User]
Give stream of consciousness and then the final answer. What will come in place of the x in the following Number series? 68, 36, 20, 12, 8, x
Options:
(A) 6
(B) 4
(C) 2
(D) 1
(E) 0

[Assistant]
68
68 / 2 + 2 = 36
36 / 2 + 2 = 20
20 / 2 + 2 = 12
12 / 2 + 2 = 8
8 / 2 + 2 = 6
The final answer: (A).


[User]
Question: If a man can cover 8 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 108
(B) 180
(C) 107
(D) 168
(E) 122 Random thoughts:

[Assistant]
8 m/s = 8 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 8 * 18/5 * 15/4 km = 108 km. The final answer: (A).


[User]
question:Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 75 miles
(D) 120 miles
(E) 400 miles
answer:(C)
Stream of consciousness:Answer = C. 75 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 15 miles, so effective difference = 90 - 15 = 75 miles

question:The average of 15 result is 60. Average of the first 10 of them is 10 and that of the last 10 is 80. Find the 8th result?
Options:
(A) 35
(B) 200
(C) 150
(D) 250
(E) 300
answer:(B)
Stream of consciousness:Sum of all the 13 results = 15 * 60 = 900
Sum of the first 7 of them = 10 * 10 = 100
Sum of the last 7 of them = 10 * 80 = 800
So, the 8th number = 900 + 100 - 800 = 200.

question:Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
answer:

[Assistant]
(A)
Stream of consciousness:Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.


[User]
Some question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 250
(D) 288
(E) 212
Some stream of consciousness:

[Assistant]
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 250 meter The answer: (C).


[User]
What amount does Kiran get if he invests Rs. 18000 at 12% p.a. simple interest for four years?
Options:
(A) 29893
(B) 26640
(C) 29989
(D) 28800
(E) 29883
--
Simple interest = (18000 * 4 * 12)/100 = Rs. 8640
Amount = P + I = 18000 + 8640 = Rs. 26640 So the answer is: (B).
-----
A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?
Options:
(A) 2 1⁄4 min
(B) 3 min
(C) 4 1⁄4 min
(D) 4 1⁄2 min
(E) None of these
--
Time = 225/6×518 = 135 sec = 21⁄4 min. So the answer is: (A).
-----
Find a a prime number from below options?
Options:
(A) 84
(B) 97
(C) 98
(D) 100
(E) 102
--

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


[User]
Student: 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 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 4/1
(E) 5/3.
Another student: Let's say, hmmm...

[Assistant]
Distance traveled by Eddy = 900 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 900/3 = 300 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 300/75 = 4/1 Final answer: (D).


[User]
question:Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 3
(B) 4
(C) 6
(D) 9
(E) 8
answer:(A)
Stream of consciousness:On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted

question:Grace has 18 jellybeans in her pocket. She has 9 red ones, 5 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?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15
answer:(E)
Stream of consciousness:The worst scenario is when she takes 9 red and 5 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.

question:In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?
Options:
(A) 16/20
(B) 9/10
(C) 2/5
(D) 3/5
(E) ½
answer:

[Assistant]
(B)
Stream of consciousness:P(at least one green) = 1 - P(no green, so 2 yellow) = 1- 2/5*1/4 = 9/10.


[User]
q: Which one of the following is not a prime number?
Options:
(A) 2
(B) 3
(C) 5
(D) 9
(E) 7
a: OK... 9 is divisible by 3. So, it is not a prime number.
The answer is (D).

q: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/2 %
(B) 22%
(C) 21 %
(D) 30%
(E) 40 %
a: OK... 9 = (1*40*R)/100
R = 22 1/2 %
The answer is (A).

q: If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) f(x)
(B) 1/-f(x)
(C) -2/-f(x)
(D) -3/-f(x)
(E) -f(x)
a:

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


[User]
Question: 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?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63 Let's think first. Some random reasoning:

[Assistant]
{Total} = {M} + {N} - {Both}
{Total} = 47 + 28 - 12 = 63. The final answer: (E).


[User]
Question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
(A) 5/5
(B) 5/9
(C) 5/1
(D) 1/3
(E) 5/2
Answer: Total number of outcomes possible when a die is rolled, n(S) = 6 (∵ 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
The probability = 2/6 = 1/3.
The answer is (D).

Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Answer: Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.
The answer is (A).

Question: Lisa's grade was 75th percentile of the 40 grades for her class. Of the 50 grades from another class, 8 were higher than Lisa's, and the rest were lower. If no other grade was the same as Lisa's grade, then Lisa's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 62nd
(B) 74th
(C) 80th
(D) 87th
(E) 92nd
Answer: 62nd/74th/80th/87th/92nd
The answer is (C).

Question: If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?
Options:
(A) 25d + 100e
(B) 100d + 25e
(C) 125de
(D) d + 25e
(E) 125/(de)
Answer:

[Assistant]
Dollars needed for first 100 copies = d
Dollars needed for each successive copy = e
Cost of 125 copies = cost of 100 copies + cost of 25 copies = d + 25e
The answer is (D).


[User]
Question: All of the bonds on a certain exchange are designated by a 3-letter, a 4-letter, or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different bonds that can be designate with these codes?
Options:
(A) 26(26^3 + 26^4)
(B) 26(26^3 + 26^5)
(C) 27(26^3 + 26^5)
(D) 27(26^3)  + 26^5
(E) 26^3 + 27(26^5)  Let's think first. Some random reasoning:

[Assistant]
3-letter codes = 26^3;
4-letter codes = 26^4;
5-letter codes = 26^5;
Total = 26^3 + 26^4 + 26^5 = 26^3(1+26) + 26^5 = 26^3*27 + 26^5. The final answer: (D).


[User]
Q: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 40, 30 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 60, 20 kmph Let's give some random thoughts before answering.

[Assistant]
Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph
Therefore, the answer is (E).


[User]
Use some thinking to answer the following question. What percent is 120 of 90?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %

[Assistant]
120/90 = 4/3
4/3 × 100 = 400/3 = 133 1/3 % So the final answer is (A).


[User]
Question: Find the mean proportional between 36 & 49?
Options:
(A) A) 42
(B) B) 61
(C) C) 63
(D) D) 65
(E) E) 67
Answer: Formula = √a×b
A = 36 and B = 49
√36×49 = 6 × 7 = 42
The answer is (A).

Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 9 3/7 days
(B) 9 7/8 days
(C) 9 3/8 days
(D) 4 3/8 days
(E) 9 6/8 days
Answer: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
The answer is (C).

Question: 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?
Options:
(A) 450
(B) 200
(C) 250
(D) 300
(E) 350
Answer: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 â€“ 1050 = 450
The answer is (A).

Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Options:
(A) 6
(B) 8
(C) 12
(D) 15
(E) 20
Answer:

[Assistant]
4/10+9/X = 1/x = 15
1/10+1/15 = 1/6 = 6 days
The answer is (A).


[User]
Give stream of consciousness and then the final answer. 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 34%
(B) 56%
(C) 57%
(D) 67%
(E) 78%

[Assistant]
Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
The final answer: (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?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 3 Stream of consciousness:

[Assistant]
1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9
Thus, the answer is (A).


[User]
q: 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?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1160
(E) 1460
a: Stream of consciousness: 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 The answer is (B).

question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 41
(B) 43
(C) 31
(D) 84
(E) 81
answer: Stream of consciousness: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12
Work done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48
Remaining work = 1 - 7/48 = 41/48
Work done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48
Therefore, Number of boys required = ((41/48) x 48) = 41 The answer is (A).

q: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/56
(B) 1/42
(C) 1/40
(D) 1/41
(E) 1/47
a: Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/8 = 1/42 The answer is (B).

question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 99
(C) 77
(D) 66
(E) 12
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

q: 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?
Options:
(A) 29
(B) 22
(C) 48
(D) 99
(E) 11
a: Stream of consciousness: D = 210 + 120 = 330
S = 54 * 5/18 = 15 mps
T = 330/15 = 22 sec The answer is (B).

q: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a:

[Assistant] Stream of consciousness: Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N. The answer is (A).


[User]
A boy runs 200 metres in 72 seconds. What is his speed ?
Options:
(A) 10 km/hr
(B) 14 km/hr
(C) 20 km/hr
(D) 12 km/hr
(E) 24 km/hr Stream of consciousness first, then make a decision:

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


[User]
Find a a prime number from below options?
Options:
(A) 84
(B) 97
(C) 98
(D) 100
(E) 102
--
Clearly, 97 is a prime number. So the answer is: (B).
-----
At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 5/3%
(C) 3 1/9%
(D) 3 1/5%
(E) 3 1/7%
--
P = (P*30*R)/100
R = 3 1/3% So the answer is: (A).
-----
A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 108 kmph
(C) 54 kmph
(D) 71 kmph
(E) 88 kmph
--

[Assistant]
S = 480/16 * 18/5 = 108 kmph So the answer is: (B).
-----


[User]
question: In what time a sum of money double itself at 6% per annum simple interest?
Options:
(A) 33 1/8%
(B) 16 2/3%
(C) 33 7/3%
(D) 32 1/3%
(E) 23 1/3%
answer: Stream of consciousness: P = (P*6*R)/100
R = 16 2/3% The answer is (B).

q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 22
(B) 88
(C) 27
(D) 89
(E) 287
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (C).

question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 7800
(E) 1268
answer: Stream of consciousness: A = 7500(26/25)^1 = 7800 The answer is (D).

q: If sushi rows 27 km upstream and 81 km down steam taking 9 hours each, then the speed of the stream
Options:
(A) 12 kmph
(B) 13 kmph
(C) 22 kmph
(D) 20 kmph
(E) 15 kmph
a: Stream of consciousness: Speed upstream = 27/9 = 3 kmph
Speed down stream = 81/3 = 27 kmph
Speed of stream = ½ (27-3) = 12 kmph The answer is (A).

question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 15 sec
(E) 17 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The answer is (B).

question: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 99
(C) 66
(D) 55
(E) 71
answer:

[Assistant]
Stream of consciousness: (60/100) * 50 – (40/100) * 30
30 - 12 = 18 The answer is (A).


[User]
Question: Ten percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $400 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $21.25m
(B) $25.5m
(C) $106.25m
(D) $127.5m
(E) $20000m Random thoughts:

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


[User]
question: There are 3 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 45
(D) 180
(E) 200
answer: Stream of consciousness: Number of ways of selecting 2 fiction books = 3C2
Number of ways of selecting 2 non fiction books = 6C2
3C2 * 6C2 = 3 * 15 = 45 The answer is (C).

q: Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?
Options:
(A) 7/36
(B) 9/35
(C) 4/37
(D) 8/35
(E) 5/3
a: Stream of consciousness: A's one day's work = 1/18
B's one day's work = 1/24
(A + B)'s one day's work = 1/18 + 1/24 = 7/72
The part of the work completed in 3 days = 2 (7/72) = 7/36. The answer is (A).

question: One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
Options:
(A) 6
(B) 4
(C) 10
(D) 12
(E) 14
answer: Stream of consciousness: The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6. The answer is (A).

q: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?
Options:
(A) 1:1
(B) 1:2
(C) 1:9
(D) 1:6
(E) 1:4
a: Stream of consciousness: A square and a rhombus on the same base are equal in are The answer is (A).

question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following sequence are exactly equal. Which part is not equal to the other four? The number of that part is the answer
Options:
(A) 120 × 12 – 22 × 20
(B) 10% of 5000 + 2⁄5 of 1200
(C) 80 × 40 – 20 × 110
(D) 8640 ÷ 60 + 53.5 × 16
(E) 5314 – 3029 – 1285
answer: Stream of consciousness: The other parts are equal to 1000. The answer is (B).

question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 240 gallons
(D) 180 gallons
(E) 130 gallons
answer:

[Assistant]
Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 6 gallons\
Volume of whole = 6 * 40 = 240 gallons. The answer is (C).


[User]
Give a quick stream of consciousness before answering the following question. The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 61.25
(B) 62.5
(C) 63.75
(D) 70.0
(E) 77.5

[Assistant]
Rate of flow of water in second hour = 24 gallons per hour
Rate of flow of water in first hour = 24/(3/2) = 16 gallons per hour
Rate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons
The answer: (D).


[User]
Give a quick stream of consciousness before answering the following question. Express 45 mps in kmph?
Options:
(A) 170
(B) 160
(C) 162
(D) 130
(E) 122

[Assistant]
45 * 18/5 = 162 kmph
The answer: (C).


[User]
question:10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
(A) 1/6
(B) 1/7
(C) 1/5
(D) 1/9
(E) 1/2
answer:(C)
Stream of consciousness:10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5

question:Which of the following numbers is divisible by 5?
Options:
(A) 3221
(B) 6175
(C) 6231
(D) 5813
(E) 4251
answer:(B)
Stream of consciousness:6175. This is the only option with last two digits divisible by 5

question:3 workers transfer a tool weighing 120kg in 12 seconds. How many men are required to transfer it in 9 seconds?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
answer:

[Assistant]
(A)
Stream of consciousness:We have, M1D1H1 = M2D2H2
3*120*12 = M2*120*9
M2 = 3*120*12/120*9 = 4


[User]
If a man can cover 16 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 216 km
(D) 1887 km
(E) 177 km OK. Let's think. Some random thoughts first:

[Assistant]
16 m/s = 16 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 16 * 18/5 * 15/4 km = 216 km. The answer: (C).


[User]
Give stream of consciousness and then the final answer. The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 67
(C) 18
(D) 25
(E) 23

[Assistant]
1 to 11 = 11 * 49 = 539
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 539 = 67
The final answer: (B).


[User]
q: In what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 5
(C) 4
(D) 6
(E) 7
a: Stream of consciousness: T = 64/46 * 18/5 = 5 sec The answer is (B).

question: Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 889
answer: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2) The answer is (A).

q: If six persons sit in a row, then the probability that three particular persons are always together is
Options:
(A) 1/20
(B) 3/10
(C) 1/5
(D) 4/5
(E) 2/5
a: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 1/96
(E) 1/68
answer: Stream of consciousness: 2/7 * 6/7 * 1/3 * 1/8 = 1/98 The answer is (C).

q: The average of 11 results is 46, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 100
(D) 25
(E) 23
a: Stream of consciousness: 1 to 11 = 11 * 46 = 506
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 506 = 100 The answer is (C).

q: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 11
(E) 15
a:

[Assistant] Stream of consciousness: 221 + 43 = 264/17 = 9 (Remainder) The answer is (C).


[User]
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 22
(B) 56
(C) 44
(D) 55
(E) 81 Stream of consciousness first, then make a decision:

[Assistant]
1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56
Thus, the answer is (B).


[User]
A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke
Options:
(A) 7
(B) 8
(C) 9
(D) 10
(E) 15
--
From 64, he makes 8. From this 8 he makes one more. Total 9. So the answer is: (C).
-----
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 150
(B) 88
(C) 2767
(D) 288
(E) 712
--
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter So the answer is: (A).
-----
The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?
Options:
(A) 19
(B) 35
(C) 20
(D) 32
(E) 23
--

[Assistant]
Age of B = Age of (A + B + C) â€“ Age of (A + C) = 29 Ã— 3 â€“ 32 Ã— 2 = 87 â€“ 64 = 23 years So the answer is: (E).
-----


[User]
q: Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?
Options:
(A) 50
(B) 65
(C) 45
(D) 55
(E) 40
a: Stream of consciousness: This is a simple multiplication series. Each number is 6 times greater than the previous number. The answer is (C).

question: In digging a grave 200 m * 100 m * 3 m the volumes of the dirt to be extracted will be?
Options:
(A) 600 cu.m
(B) 12000 cu.m
(C) 6000 cu.m
(D) 60000 cu.m
(E) 4000 cu.m
answer: Stream of consciousness: 200 * 100 * 3 = 60000 The answer is (D).

q: Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Options:
(A) 9 minutes
(B) 7
(C) 6
(D) 5
(E) 4
a: Stream of consciousness: Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9. The answer is (A).

question: If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =
Options:
(A)  360
(B)  720
(C)  2520
(D)  3960
(E)  6720
answer: Stream of consciousness: The integer should be divisible by: 3, 4, 5, 6, 7, 8, 9 and 10, that is 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, N/7 is (7 * 5 * 3^2 * 2^3)/7 = 5*9*8 = 360. The answer is (A).

q: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A)  81
(B)  83
(C)  85
(D)  86
(E)  89
a: Stream of consciousness: Overall, there can be 81 minuses. Tus, it is The answer is (A).

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?
Options:
(A) 5 kmph
(B) 6 kmph
(C) 9 kmph
(D) 8 kmph
(E) 1 kmph
a:

[Assistant]
Stream of consciousness: Speed downstream = d/t = 75/(2 1/2) = 30 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (30 - 18)/2 = 6 kmph The answer is (B).


[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?
Options:
(A) 11
(B) 12
(C) 99
(D) 75
(E) 72 Now, let's think a bit. Some random thoughts:

[Assistant]
1/8 + 1/24 = 1/6
6 * 2 = 12
The final answer: (B).


[User]
189. The inside dimensions of a rectangular wooden box
are 10 inches by 12 inches by 14 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
(A)  3
(B)  4
(C)  5
(D)  6
(E)  8 Think first, then make a decision. Some random thoughts:

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


[User]
If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 1767 km
(D) 432 km
(E) 177 km Now, let's think a bit. Some random thoughts:

[Assistant]
32 m/s = 32 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 32 * 18/5 * 15/4 km = 432 km.
The final answer: (D).


[User]
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 170 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 3 sec
(B) 8 sec
(C) 9 sec
(D) 5 sec
(E) 7 sec Hmmm, my stream of consciousness:

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


[User]
Q: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 144
(C) 278
(D) 126
(E) 112
A: OK... Stream of consciousness: S = 240/6 * 18/5 = 144 kmph
The answer is (B).

Q: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 9179
(B) 3000
(C) 2997
(D) 2678
(E) 2682
A: OK... Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
The answer is (B).

Q: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
A: OK... Stream of consciousness: 21-12 < no of hrs < 21-5
9< no of hrs < 16.
The answer is (D).

Q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
Options:
(A) 12000
(B) 10000
(C) 15000
(D) 20000
(E) 25000
A:

[Assistant]
OK... Stream of consciousness: Purchase = 8748/(1-10/100^3) = 12000
The answer is (A).


[User]
q: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Options:
(A) 70
(B) 71
(C) 75
(D) 78
(E) 74
a: Stream of consciousness: There will be 2 series
1st: 72 73 74 75 76 (Increasing by 1)
2nd: 76 77 78 79 (Increasing by 1)
Final: 72 76 73 77 74 78 75 The answer is (D).

question: In how many different ways can the letters of the word â€˜DIVIDEDâ€™ be arranged?
Options:
(A) 250
(B) 280
(C) 300
(D) 420
(E) 360
answer: Stream of consciousness: Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420 The answer is (D).

q: A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination?
Options:
(A) 3 hours
(B) 4 hours
(C) 5 hours
(D) 2 hours
(E) 6 hours
a: Stream of consciousness: Time = Distance/Speed
120/60 = 2 The answer is (D).

question: How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 28 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
answer: Stream of consciousness: D = 100 + 180 = 280
S = 36 * 5/18 = 10 mps
T = 280/10 = 28 sec The answer is (B).

q: How much is 80% of 60 is greater than 4/5 of 25?
Options:
(A) 15
(B) 28
(C) 16
(D) 12
(E) 73
a: Stream of consciousness: (80/100) * 60 â€“ (4/5) * 25
48 - 20 = 28 The answer is (B).

q: What should come in the place of the question mark(?) in the following equation?
21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17
Options:
(A) 7 77⁄125
(B) 11 9⁄10
(C) 119⁄450
(D) 1 29⁄90
(E) None of these
a:

[Assistant] Stream of consciousness: ? = 21⁄25 × 20⁄9 × 5⁄12 ÷ 17⁄10 = 119⁄90 = 129⁄90 The answer is (D).


[User]
Question: Two persons A and B can complete a piece of work in 15 days and 30 days respectively. If they work together, what part of the work will be completed in 5 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3 Let's think first. Some random reasoning:

[Assistant]
A's one day's work = 1/15
B's one day's work = 1/30
(A + B)'s one day's work = 1/15 + 1/30 = 1/10
The part of the work completed in 5 days = 5 (1/10) = 1/2. The final answer: (D).


[User]
A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long?
Options:
(A) 30
(B) 35
(C) 40
(D) 45
(E) 50 Hmmm, my stream of consciousness:

[Assistant]
Speed = 117 * 5/18 = 65/2 m/sec
Total distance covered = 650 + 325 = 975 m
Required time = 975 * 2/65 = 30 sec So, the answer is (A).


[User]
Give a quick stream of consciousness before answering the following question. A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 18 sec
(B) 28 sec
(C) 48 sec
(D) 29 sec
(E) 24 sec

[Assistant]
D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se
The answer: (C).


[User]
Some question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 9 3/7 days
(B) 9 7/8 days
(C) 9 3/8 days
(D) 4 3/8 days
(E) 9 6/8 days
Some stream of consciousness:

[Assistant]
1/15 + 1/25 = 8/75
75/8 = 9 3/8 days The answer: (C).


[User]
If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days?
Options:
(A) 120
(B) 240
(C) 360
(D) 1200
(E) 480 Stream of consciousness:

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


[User]
Give stream of consciousness and then the final answer. 5,9,18,31,52,__
Options:
(A) 79
(B) 80
(C) 86
(D) 82
(E) 83

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


[User]
How much 50% of 56 is greater than 30% of 50?
Options:
(A) 18
(B) 99
(C) 13
(D) 55
(E) 71 Think first, then make a decision. Some random thoughts:

[Assistant]
(50/100) * 56 – (30/100) * 50
28 - 15 = 13 So the answer is (C).


[User]
question: Solve:-
444 x 444 x 444 + 555 x 555 x 555 = ?(444 x 444 - 444 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 999
(D) 988
(E) 889
answer: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (444 + 555) = 999(a2 - ab + b2) The answer is (C).

q: The average of 13 numbers is 58. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 72
(B) 83
(C) 45
(D) 53
(E) 64
a: Stream of consciousness: Sum of all the 13 numbers = 13 * 58 = 754
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 754 = 72. The answer is (A).

question: The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?
Options:
(A) A) 200
(B) B) 2000
(C) C) 800
(D) D) 2100
(E) E) 1100
answer: Stream of consciousness: The total of ten numbers = 10X210 = 2100
The total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000
So, the middle number is (2100 - 1000 ) = 1100 The answer is (E).

q: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 22
(B) 66
(C) 28
(D) 41
(E) 61
a: Stream of consciousness: (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
Remaining work = (1 - 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41. The answer is (D).

question: Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?
Options:
(A) 50
(B) 65
(C) 45
(D) 55
(E) 40
answer: Stream of consciousness: This is a simple multiplication series. Each number is 6 times greater than the previous number. The answer is (C).

question: he population of a city is 140,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 1797787
(B) 1597723
(C) 159776
(D) 159728
(E) 157304
answer:

[Assistant]
Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 140000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 157304 The answer is (E).


[User]
q: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 757.48 = 443.095 + ?
Options:
(A) 870
(B) 790
(C) 680
(D) 770
(E) 890
a: Stream of consciousness: ? = 285 + 1895 – 755 – 745 or, ? = 680 The answer is (C).

question: What is the are of an equilateral triangle of side 10 cm?
Options:
(A) 66âˆš3 cm2
(B) 25âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
answer: Stream of consciousness: Area of an equilateral triangle = âˆš3/4 S2
If S = 10, Area of triangle = âˆš3/4 * 10 * 10 = 25âˆš3 cm2; The answer is (B).

q: What is the sum of all the composite numbers up to 20?
Options:
(A) 130
(B) 132
(C) 124
(D) 145
(E) 166
a: Stream of consciousness: 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132 The answer is (B).

question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 22
(B) 28
(C) 29
(D) 20
(E) 21
answer: Stream of consciousness: Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a). The answer is (D).

q: The compound ratio of 2/5, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 7/98
(B) 1/70
(C) 1/98
(D) 1/96
(E) 1/68
a: Stream of consciousness: 2/5 * 6/7 * 1/3 * 1/8 = 12/840 = 1/70 The answer is (B).

q: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 328
(B) 150
(C) 279
(D) 277
(E) 267
a:

[Assistant] Stream of consciousness: 1/2 * 20(9 + 6) = 150 cm2 The answer is (B).


[User]
q: The average of seven numbers is 20. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 29
(C) 31
(D) 41
(E) 35
a: Stream of consciousness: The total of seven numbers = 7X20 = 140
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (140 - 99 ) = 41 The answer is (D).

question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 11
(B) 12
(C) 30
(D) 98
(E) 15
answer: Stream of consciousness: 20 + 24 + 8 * 2 = 60/2 = 30 The answer is (C).

q: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 4 4/5 days
(D) 3 days
(E) 9 days
a: Stream of consciousness: Work done by A in 2 days = 2/10 = 1/5
Remaining work = 4/5
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 4/5 * 6/1 = 24/5 = 4 4/5 days. The answer is (C).

question: Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?
Options:
(A) 30 days
(B) 35 days
(C) 25 days
(D) 27 days
(E) 29 days
answer: Stream of consciousness: 1/50 + 1/75 = 5/150
30/1 = 30 days The answer is (A).

q: Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?
Options:
(A) 42
(B) 63
(C) 84
(D) 98
(E) 108
a: Stream of consciousness: In one week, Giri jogs 3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles
In two weeks, Giri jogs 84 miles. The answer is (C).

q: A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 12 km/hr
(D) 16 km/hr
(E) None of these
a:

[Assistant]
Stream of consciousness: Distance covered by the car = 80 × 10 = 800 km
\ Speed = 800⁄8 = 100 km/hr
\ Speed gain = 100 – 80 = 20 km/hr The answer is (E).