[User]
q: If the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is?
Options:
(A) 16
(B) 127
(C) 12
(D) 18
(E) 150
a: Percentage of profit = 30/20 * 100 = 150% The answer is (E).
--
q: The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?
Options:
(A) A) 15
(B) B) 8
(C) C) 6
(D) D) 14
(E) E) 9
a: The total of six numbers = 6X8 = 48
The total of first 2 and last 3 numbers is = 2 X 11+3 X 4 = 34
So, the middle number is (48 - 34 ) = 14 The answer is (D).
--
q: Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15
a: The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The answer is (E).
--
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
a:

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


[User]
q: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 17
(C) 19
(D) 10
(E) 12
a: Stream of consciousness: 90 * 10/60 = 15 kmph The answer is (A).

question: A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
answer: Stream of consciousness: Equation: 1/r = 1/(r + 2) + 2/3
Plug options into the equation:
E fits: 1/1 = 1/(1 + 2) + 2/3 The answer is (E).

q: A car finishes a journey in ten hours at the speed of 65 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 65 km/hr
(D) 16 km/hr
(E) None of these
a: Stream of consciousness: Distance covered by the car = 65 × 10 = 650 km
\ Speed = 650⁄5 = 130 km/hr
\ Speed gain = 130 – 65 = 65 km/hr The answer is (C).

question: Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 1/2
(B) 1/5
(C) 1/3
(D) 1/4
(E) 1/6
answer: Stream of consciousness: Part filled by (A + B + C) in 3 minutes = 3(1/20 + 1/20 + 1/30) = 6/15
Part filled by C in 3 minutes = 3/30
Required ratio = 3/30 * 15/6 = 1/4 The answer is (D).

q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 75 miles
(D) 120 miles
(E) 400 miles
a: 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 The answer is (C).

q: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Options:
(A) -3⁄2 < x < 1
(B) -1 < x < 3⁄2
(C) x > 1
(D) x < -2⁄5
(E) None of these
a:

[Assistant]
Stream of consciousness: 2x2 + x – 3 < 0
⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1 The answer is (A).


[User]
Question: Find the smallest number which should be multiplied with 560 to make it a perfect square.
Options:
(A) 60
(B) 55
(C) 45
(D) 25
(E) 35 Let's think first. Some random reasoning:

[Assistant]
560 = 2*2*2*2*7*5
Required smallest number = 7 * 5 = 35
35 is the smallest number which should be multiplied with 560 to make it a perfect squar The final answer: (E).


[User]
How many positive four-digit integers do not contain any digits other than 1 or 0 and are such that the sum of the first two digits equals the sum of the last two digits?
Options:
(A) 3
(B) 4
(C) 8
(D) 10
(E) 12 Now, let's think a bit. Some random thoughts:

[Assistant]
The sum of the first two (last two) digits cannot be 0 because 0000 is not a four-digit integer. If the sum of the first two digits is 1, two variants are possible: 1001 and 1010 (we have to remember that 0 cannot be the first digit). If the sum of the first two digits is 2, one variant is possible: 1111. In all, there are three numbers that satisfy the given conditions: 1001, 1010, and 1111.
The final answer: (A).


[User]
189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 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)  7 Hmmm, my stream of consciousness:

[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 16x14width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 14, so the radius will be 7. So, the answer is (E).


[User]
question: Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years have become the members of the club, find average age of all the 11 members.
Options:
(A) 15
(B) 31
(C) 77
(D) 99
(E) 22
answer: Stream of consciousness: Average age of 9 members = 29 years; Excess age of 2 new members = (40 - 29) × 2 = 22 years
Therefore, Increase in the average age on inclusion of 2 new members = 22112211 = 2 years
Therefore, Average age of 11 members = 29 + 2 = 31 years The answer is (B).
--
question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 39
(B) 37
(C) 342
(D) 288
(E) 261
answer: Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).
--
question: In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
(A) 1/2
(B) 2/3
(C) 3/5
(D) 4/7
(E) 4/9
answer: Stream of consciousness: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
∴ Required probability = 2/3 x 3/4 = 1/2 The answer is (A).
--
question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 881
(E) 271
answer:

[Assistant]
Stream of consciousness: D = 72 * 5/18 = 25 = 500 – 150 = 350 The answer is (C).
--


[User]
Give a quick stream of consciousness before answering the following question. 189. The inside dimensions of a rectangular wooden box
are 8 inches by 10 inches by 12 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

[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 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5.
The answer: (C).


[User]
30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) cannot be determined
(E) None of the above OK. Let's think. Some random thoughts first:

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


[User]
q: What will come in place of the x in the following Number series? 46080, 3840, 384, x
Options:
(A) 48
(B) 3
(C) 4
(D) 5
(E) 6
a: Stream of consciousness: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48 The answer is (A).

question: A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.
Options:
(A) 36kmph
(B) 42kmph
(C) 48kmph
(D) 52kmph
(E) 64kmph
answer: Stream of consciousness: In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train
In 30 sec the train travels a distance of 300 mtrs
Speed = 300/30 = 10 m/s = 10 * 18/5 = 36 kmph The answer is (A).

q: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
Options:
(A) 85
(B) 97
(C) 109
(D) 178
(E) 112
a: Stream of consciousness: Answer: Option D
This is an alternating division and addition series: First, divide by 2, and then add 8. The answer is (D).

question: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
Options:
(A) 5
(B) 7
(C) 11
(D) 13
(E) 15
answer: Stream of consciousness: (385/1001) = 5/13 First Number is 5 The answer is (A).

q: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 64√5
(B) 64√9
(C) 64√4
(D) 36√3
(E) 64√2
a: Stream of consciousness: Area of an equilateral triangle = √3/4 S2
If S = 12, Area of triangle = √3/4 * 12 * 12 = 36√3 cm2; The answer is (D).

q: How much is 60% of 40 is greater than 4/5 of 25?
Options:
(A) 4
(B) 6
(C) 10
(D) 8
(E) 13
a:

[Assistant]
Stream of consciousness: 60/100) * 40 â€“ (4/5) * 25
24 - 20 = 4 The answer is (A).


[User]
Q: The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 5x
(D) 12x
(E) 27x
A: OK... Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 5x/4
New perimeter = 4*5x/4 = 5x
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) 7 kmph
(B) 4 kmph
(C) 4 kmph
(D) 8 kmph
(E) 5 kmph
A: OK... 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: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Options:
(A) 3387
(B) 277
(C) 223
(D) 992
(E) 213
A: OK... Stream of consciousness: (800*3*3)/100 = 72
920 + 72 = 992
The answer is (D).

Q: How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Options:
(A) 496
(B) 486
(C) 1084
(D) 728
(E) 628
A:

[Assistant]
OK... Stream of consciousness: The number of single digit numbers = 2
The number of 2 digit numbers = 2 × 3 = 6
The number of 3 digit numbers = 2 × 3 × 3 = 18
The number of 4 digit numbers = 2 × 3 × 3 × 3 = 54
The number of 5 digit numbers = 2 × 3 × 3 × 3 × 3 = 162
The number of 6 digit numbers = 2 × 3 × 3 × 3 × 3 × 3 = 486
Therefore, the total numbers = 728
The answer is (D).


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

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


[User]
Question: How many digits are in the number 50^8 × 8^3 × 11?
Options:
(A) 18
(B) 20
(C) 19
(D) 22
(E) 17 Random thoughts:

[Assistant]
Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 × 8^3 × 11 = (5^2*2)^8*2^9*11 = 5^16*2^17*11 = 2*11*10^16 = 22*10^16
Hence we would have 16 trailing 0's and the three digits from 22
Total digits = 2 + 16 = 18 The final answer: (A).


[User]
Q: In what time a sum of money double itself at 7% per annum simple interest?
Options:
(A) 33 1/8%
(B) 33 1/3%
(C) 14 2/7%
(D) 33 4/3%
(E) 73 1/3%
A: OK... Stream of consciousness: P = (P*7*R)/100
R = 14 2/7%
The answer is (C).

Q: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
Options:
(A) 1/8
(B) 1/4
(C) 1/16
(D) 1/2
(E) 1/32
A: OK... Stream of consciousness: Must be either 4 tails or 4 heads
1/2*1/2*1/2*1/2+1/2*1/2*1/2*1/2
1/16 + 1/16 = 1/8
The answer is (A).

Q: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 52
(E) 42
A: OK... Stream of consciousness: 90 * 10/60 = 15 kmph
The answer is (A).

Q: 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
A:

[Assistant]
OK... Stream of consciousness: 2/7 * 6/7 * 1/3 * 1/8 = 1/98
The answer is (C).


[User]
In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
Options:
(A) 1 kg
(B) 200 gms
(C) 800 gms
(D) 1.8 kg
(E) None of these

In 1 kg mixture quantity of iron = 200 gm
Let x gm sand should be added, then
10% of (1000 + x) = 200
\ x = 1000 gm = 1 kg So the answer is: (A).

The edge of a cube is 9a cm. Find its surface?
Options:
(A) 153a2 cm2
(B) 143a2 cm2
(C) 233a2 cm2
(D) 243a2 cm2
(E) 253a2 cm2

6a2 = 6 * 9a * 9a = 243a2 So the answer is: (D).

Which one of the following is not a prime number?
Options:
(A) 2
(B) 3
(C) 5
(D) 9
(E) 7

9 is divisible by 3. So, it is not a prime number. So the answer is: (D).

A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36
(D) 42.
(E) 44.

[Assistant]
Let the time taken be = x
One way distance = 48x
Total distance traveled = 2 * 48x = 96x
Total time taken = x + 2x = 3x
Average speed = 96x/3x = 32 So the answer is: (B).


[User]
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) 992
(C) 276
(D) 187
(E) 161 Think first, then make a decision. Some random thoughts:

[Assistant]
10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450 So the answer is (A).


[User]
A can do a piece of work in 9 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 77
(C) 66
(D) 54
(E) 12 Stream of consciousness:

[Assistant]
8/9 + 6/x = 1
X = 54 days
Thus, the answer is (D).


[User]
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) 7 kmph
(B) 5 kmph
(C) 3 kmph
(D) 8 kmph
(E) 2 kmph OK. Let's think. Some random thoughts first:

[Assistant]
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: (D).


[User]
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% OK. Let's think. Some random thoughts first:

[Assistant] Increase = (10/100)*100 = (1/10)*100 = 10%. The answer: (B).


[User]
If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 10
(B) 25
(C) 50
(D) 75
(E) 100 Stream of consciousness:

[Assistant]
First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 10 positive even integers minus the sum of first 10 positive odd integers will be 10.
Thus, the answer is (A).


[User]
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?
Options:
(A) Equal to 3
(B) Less than 3
(C) More than 3
(D) Less than 1/3
(E) none of these Now, let's think a bit. Some random thoughts:

[Assistant]
Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5
The final answer: (E).


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

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


[User]
The edge of a cube is 5a cm. Find its surface?
Options:
(A) 24a8
(B) 150a2
(C) 24a1
(D) 24a2
(E) 24a7

6a2 = 6 * 5a * 5a = 150a2 So the answer is: (B).

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)

If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x) So the answer is: (E).

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

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

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

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


[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: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
Options:
(A) 1 day
(B) 2 days
(C) 3 days
(D) 4 days
(E) 5 days
answer: Stream of consciousness: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day. The answer is (A).

q: 90 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 135
(D) 140
(E) 160
a: Stream of consciousness: Final number = Initial number + 50%(original number) = 90 + 50%(90) = 90 + 45 = 135. The answer is (C).

question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 20
(B) 40
(C) 45
(D) 25
(E) 60
answer: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (A).

q: The average of 13 numbers is 60. Average of the first 7 of them is 56 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 39
(B) 83
(C) 45
(D) 53
(E) 64
a: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 56 = 392
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 392 - 780 = 39. The answer is (A).

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

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


[User]
question: 5,9,19,31,51,__
Options:
(A) 84
(B) 80
(C) 81
(D) 82
(E) 83
answer: Stream of consciousness: (9+5) +5 = 19
(16+9) +6 = 31
(28+16)+7 = 51
(48+28)+8 = 84 The answer is (A).

q: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Options:
(A) 6 2/3%
(B) 6 2/7%
(C) 6 2/2%
(D) 6 3/3%
(E) 6 5/3%
a: Stream of consciousness: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3% The answer is (A).

question: Find the product of the localvalue and absolutevalue of 3 in 20368?
Options:
(A) 1000
(B) 1100
(C) 1200
(D) 900
(E) 10000
answer: Stream of consciousness: Local value of 3 = 3 x 100 = 300
Place value of 3 = 3
There fore = 3 x 300 = 900 The answer is (D).

q: 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
a: Stream of consciousness: 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. The answer is (D).

question: 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) 781
(C) 767
(D) 277
(E) 266
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).

question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length?
Options:
(A) 18.9 sec
(B) 88.9 sec
(C) 22.9 sec
(D) 30.00 sec
(E) 72.0 sec
answer:

[Assistant]
Stream of consciousness: D = 110 + 390 = 500 m
S = 60 * 5/18 = 50/3
T = 500 * 3/50 = 30 sec The answer is (D).


[User]
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 Let's think first. Stream of consciousness:

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


[User]
question: 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
answer: Stream of consciousness: 68
68 / 2 + 2 = 36
36 / 2 + 2 = 20
20 / 2 + 2 = 12
12 / 2 + 2 = 8
8 / 2 + 2 = 6 The answer is (A).

q: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
(A) 9
(B) 8
(C) 7
(D) 5
(E) 3
a: Stream of consciousness: (30*30)/100 = 9%loss The answer is (A).

question: Find a a prime number from the options below.
Options:
(A) 37
(B) 38
(C) 39
(D) 40
(E) 42
answer: Stream of consciousness: Clearly, 37 is a prime number. The answer is (A).

q: In a bag there are 3 Snicker's bars and 2 Milky Way bars. What is the probability of choosing at least one Snickers when choosing two consecutive candy bars randomly?
Options:
(A) 9/10
(B) 16/20
(C) 2/5
(D) 3/5
(E) ½
a: Stream of consciousness: P(at least one Snicker's Bar) = 1 - P(no Snicker's Bar, so 2 Milky Way Bars) = 1- 2/5*1/4 = 9/10. The answer is (A).

question: There are different 6 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 90
(B) 100
(C) 110
(D) 180
(E) 30
answer: Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 6*5 = 30 The answer is (E).

question: Which one of the following is a prime number?
Options:
(A) 45
(B) 90
(C) 81
(D) 29
(E) 91
answer:

[Assistant] Stream of consciousness: 73 is divisible by 1 and itself So, it is a prime number. The answer is (D).


[User]
Use some thinking to answer the following question. 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

[Assistant]
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. So the final answer is (C).


[User]
Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/18
(B) 180/15
(C) 180/13
(D) 180/12
(E) 180/11 Let's think first. Some random reasoning:

[Assistant]
One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days. The final answer: (C).


[User]
Use some thinking to answer the following question. The difference between the place value and the face value of 6 in the numeral 856973 is
Options:
(A) 5994
(B) 6973
(C) 973
(D) 1000
(E) 7000

[Assistant] (Place value of 6) - (Face value of 6) = (6000 - 6) = 5994 So the final answer is (A).


[User]
Find the mean proportional between 64 & 81?
Options:
(A) A) 59
(B) B) 61
(C) C) 63
(D) D) 72
(E) E) 67
Answer and stream of consciousness: (D)
Stream of consciousness: Formula = √a×b
A = 64 and B = 81
√64×81 = 8 × 9 = 72

Last year, Company M made q dollars in profit. Half 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/4
(B) q/5
(C) q/6
(D) q/7
(E) q/8
Answer and stream of consciousness: (C)
Stream of consciousness: Profit = q
Profit to company founder = q/2
Profit to other partners = q/2
Number of other partners = 3
Profit to each partner = (q/2)/3 = q/6

An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?
Options:
(A) 6/13
(B) 5/26
(C) 6/26
(D) 9/26
(E) 10/27
Answer and stream of consciousness: (B)
Stream of consciousness: Option(B) is correct
P(Both are red), 6C2/13C2 = 5/26

The inverse ratio of 4: 2: 1 is?
Options:
(A) 2:4:8
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
Answer and stream of consciousness:

[Assistant]
(A)
Stream of consciousness: 1/4: 1/2: 1/1 = 2:4:8


[User]
question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/9
(B) 1/7
(C) 1/6
(D) 1/2
(E) 1/1
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).

q: The average of nine numbers is 15. The average of first four numbers is 11 and the average of last four numbers is 14. What is the middle number?
Options:
(A) 19
(B) 20
(C) 35
(D) 31
(E) 27
a: Stream of consciousness: The total of nine numbers = 9X15 = 135
The total of first 4 and last 4 numbers is = 4 X 11+4 X 14 = 100
So, the middle number is (135 - 100 ) = 35 The answer is (C).

question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Options:
(A) 8 hrs 85 min
(B) 8 hrs 18 min
(C) 8 hrs 15 min
(D) 6 hrs 15 min
(E) 3 hrs 15 min
answer: Stream of consciousness: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min The answer is (C).

q: Find the smallest number which should be multiplied with 560 to make it a perfect square.
Options:
(A) 60
(B) 55
(C) 45
(D) 25
(E) 35
a: Stream of consciousness: 560 = 2*2*2*2*7*5
Required smallest number = 7 * 5 = 35
35 is the smallest number which should be multiplied with 560 to make it a perfect squar The answer is (E).

question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Options:
(A) 90% increase
(B) 45% increase
(C) 9% decrease
(D) Same as before
(E) NONE
answer: Stream of consciousness: (30 * 30)/100 = 9% decrease The answer is (D).

question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 52
(E) 42
answer:

[Assistant] Stream of consciousness: 90 * 10/60 = 15 kmph The answer is (A).


[User]
Q: What percent is 120 of 70?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 171 3/7 %
A: OK... Stream of consciousness: 120/70 = 12/7
12/7 × 100 = 1200/7 = 171 3/7 %
The answer is (E).

Q: 252 can be expressed as a product of primes as:
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 7 x 3 x 3 x 3 x 7
A: OK... Stream of consciousness: 252 = 2 x 2 x 3 x 3 x 7.
The answer is (A).

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) 7 kmph
(B) 4 kmph
(C) 4 kmph
(D) 8 kmph
(E) 5 kmph
A: OK... 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: Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14?
Options:
(A) 300
(B) 992
(C) 1120
(D) 552
(E) 312
A:

[Assistant]
OK... Stream of consciousness: 1/7:1/7:1/14 = 2:2:1
1/5*5600 = 1120
2240-1120 = 1120
The answer is (C).


[User]
question: 2 persons can finish a job in 8 days. First person alone can finish the work in 24 days. How many days does the second person take to finish the job?
Options:
(A) 10 days
(B) 12 days
(C) 14 days
(D) 16 days
(E) 18 days
answer: Stream of consciousness: 2 persons can do work in 1 day = 1/8
First person can do work in 1 day = 1/24
Second person can do work in 1 day = 1/8-1/24 = 1/12
So Second person can finish work in 12 days The answer is (B).

q: There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the day of eating Jilebi
(iv) If Ladu eaten on tuesday, kaju should be eaten on monday
based on above, peda can be eaten on any day except
Options:
(A) monday
(B) tuesday
(C) tuWesday
(D) wednesday
(E) friday
a: Stream of consciousness: From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday. The answer is (A).

question: Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
Options:
(A) 200
(B) 992
(C) 772
(D) 552
(E) 312
answer: Stream of consciousness: 1/2:1/2:1/4 = 2:2:1
1/5*1000 = 200
400-200 = 200 The answer is (A).

q: 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
a: Stream of consciousness: Each crate requires 6 apples and totally there are 10 crates so required apples = 10 * 6 = 60 The answer is (E).

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) 6 ½ sec
(B) 9 ½ sec
(C) 3 ½ sec
(D) 7 ½ sec
(E) 2 ½ sec
answer: Stream of consciousness: \70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 ½ sec The answer is (D).

question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
answer:

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


[User]
Q: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Options:
(A) 23
(B) 25
(C) 30
(D) 36
(E) 39 Let's give some random thoughts before answering.

[Assistant]
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.
Therefore, the answer is (C).


[User]
Question: Find 12 ×× 19
Options:
(A) 238
(B) 228
(C) 208
(D) 277
(E) 101
Answer: Mentally imagine this number as (10 + 2 ) ×× 19 = 190 + 38 = 228.
The answer is (B).

Question: 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
Answer: 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).

Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 277
(D) 250
(E) 191
Answer: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 250 m
The answer is (D).

Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 15% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Options:
(A) 4000
(B) 24000
(C) 8000
(D) 10000
(E) None of these
Answer:

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


[User]
Question: 396, 462, 572, 427, 671, 264
Options:
(A) 396
(B) 427
(C) 671
(D) 264
(E) 572 Random thoughts:

[Assistant] In each number except 427, the middle digit is the sum of other two. The final answer: (B).


[User]
Q: 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
A: OK... Stream of consciousness: Single digit numbers = 4
Double digit numbers = 4 x 3 = 12
Three digit numbers = 3 x 3 x 2 x 1 = 18
Total = 34
The answer is (B).

Q: The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 70, 50 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 20, 60 kmph
A: OK... Stream of consciousness: Speed downstream = 60 + 10 = 70 kmph
Speed upstream = 60 - 10 = 50 kmph
The answer is (B).

Q: A boy runs 200 metres in 60 seconds. What is his speed ?
Options:
(A) 12 km/hr
(B) 24 km/hr
(C) 13 km/hr
(D) 14 km/hr
(E) 16 km/hr
A: OK... Stream of consciousness: 200/60 * 18/5 = 12 km/hr
The answer is (A).

Q: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
(A) 9% loss
(B) 400
(C) 4000
(D) 324
(E) 200
A:

[Assistant]
OK... Stream of consciousness: (30*30)/100 = 9%loss
The answer is (A).


[User]
q: The average of four results is 222 and that of the first three is 219. The fourth result is?
Options:
(A) 231
(B) 201
(C) 85
(D) 192
(E) 215
a: 4 * 222 â€“ 3 * 219 = 231 The answer is (A).
--
q: In a race of 150 m, A gives B a start of 20 m. What distance will be covered by B ?
Options:
(A) 100 m
(B) 130 m
(C) 170 m
(D) 160 m
(E) 180 m
a: Required distance = (150 - 20) m = 130 m The answer is (B).
--
q: A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 3
(E) 2
a: Speed downstream = d/t = 90/3 = 30 kmph
Speed upstream = d/t = 72/(3) = 24 kmph
The speed of the stream = (30 - 24)/2 = 3 kmph The answer is (D).
--
q: The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 9600
(C) 1000
(D) 10000
(E) 2887
a:

[Assistant]
100 * 100 = 10000
120 * 80 = 9600 The answer is (B).
--


[User]
Question: A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?
Options:
(A) 19
(B) 15
(C) 16
(D) 17
(E) 18
Answer: Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do the job. Then, 8:5::12:x = > 8x = 5*12 = > x = 15 days.
The answer is (B).

Question: The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
Options:
(A) 3
(B) 8
(C) 5
(D) 6
(E) 4
Answer: If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields such a number.
The answer is (E).

Question: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 6x
(D) 12x
(E) 27x
Answer: Original perimeter = x
Hence original side = x/4
New side = 6x/4
New perimeter = 4*6x/4 = 6x
The answer is (C).

Question: Calculate the largest 6 digit number which is exactly divisible by 55?
Options:
(A) 999955
(B) 999900
(C) 999845
(D) 999790
(E) 999735
Answer:

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


[User]
Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?
Options:
(A) 3/4
(B) 7/8
(C) 1/4
(D) 1/8
(E) 1/16
Answer: Left After 1st stroke = 1/2
Left After 2nd stroke = 1/2 * 1/2 = 1/4
So removed = 1- 1/4 = 3/4
The answer is (A).

Question: The average of first 13 natural numbers is?
Options:
(A) 5.2
(B) 5.5
(C) 7
(D) 9
(E) 10
Answer: Sum of 13 natural no. = 182/2 = 91
Average = 91/13 = 7
The answer is (C).

Question: Find the smallest number which should be multiplied with 36963 to make it a perfect square.
Options:
(A) 4
(B) 7
(C) 4
(D) 3
(E) 6
Answer: 36963 = 111*111*3
Required smallest number = 3
3 is the smallest number which should be multiplied with 36963 to make it a perfect square.
The answer is (D).

Question: The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?
Options:
(A) A) 15
(B) B) 8
(C) C) 6
(D) D) 14
(E) E) 9
Answer:

[Assistant]
The total of six numbers = 6X8 = 48
The total of first 2 and last 3 numbers is = 2 X 11+3 X 4 = 34
So, the middle number is (48 - 34 ) = 14
The answer is (D).


[User]
Question: If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m −1
(B) 4m
(C) 5m
(D) m/5
(E) 6m/5 Random thoughts:

[Assistant]
14m - n = p
Add n to both sides:
14m = n + p
Add m to both sides:
15m = n + p + m
Now, divide both sides by 3
5m = (n + p + m)/3 = the average of n, p, and m The final answer: (C).


[User]
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 324 m
(D) Cannot be determined
(E) None of these Think first, then make a decision. Some random thoughts:

[Assistant]
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m So the answer is (B).


[User]
Student: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Options:
(A) 40%
(B) 55%
(C) 57%
(D) 60%
(E) 62%.
Another student: Let's say, hmmm...

[Assistant]
Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% Final answer: (C).


[User]
question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 6
(D) 7
(E) 8
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).
--
question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/8 %
(B) 22 3/2 %
(C) 28 1/2 %
(D) 22 1/2 %
(E) 32 1/2 %
answer: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).
--
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) 6 ½ sec
(B) 9 ½ sec
(C) 3 ½ sec
(D) 7 ½ sec
(E) 2 ½ sec
answer: Stream of consciousness: \70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 ½ sec The answer is (D).
--
question: There are 20 balls in a box: 11 balls are green, 6 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a green ball is selected at random from the box?
Options:
(A) 1/13
(B) 10/18
(C) 3/13
(D) 5/13
(E) 6/13
answer:

[Assistant]
Stream of consciousness: If 1 green and 1 blue ball are taken from the box, then there are 10 green, 5 blue and 3 white balls, a total of 18 balls. If one ball is selected at random, the probability that it is green is given by 10 / 18 The answer is (B).
--


[User]
Some question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
(A) 2 mins
(B) 3 mins
(C) 9 mins
(D) 8 mins
(E) 6 mins
Some stream of consciousness:

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


[User]
Q: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 115 m
(D) 110 m
(E) 150 m Let's give some random thoughts before answering.

[Assistant]
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m
Therefore, the answer is (B).


[User]
question: Find the odd man out
74, 24, 82, 61, 10, 4
Options:
(A) 61
(B) 24
(C) 10
(D) 82
(E) 74
answer: Stream of consciousness: 61 is the only odd number in the series. The answer is (A).

q: If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?
Options:
(A) 50 kg
(B) 100 kg
(C) 150 kg
(D) 200 kg
(E) 250 kg
a: Stream of consciousness: 100 kg of first type. The answer is (B).

question: Last year, Company X made q dollars in profit. One thrid of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/4
(B) q/5
(C) q/8
(D) q/6
(E) q/7
answer: Stream of consciousness: Profit = q
Profit to company founder = q/3
Profit to other partners = 2q/3
Number of other partners = 4
Profit to each partner = (2q/3)/4 = q/6 The answer is (D).

q: Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.
How fast would Jamie have to drive in order to get to Bob's party on time?
Options:
(A) 30 km/h
(B) 45 km/h
(C) 60 km/h
(D) 75 km/h
(E) 90 km/h
a: Stream of consciousness: Distance between Bob's house and Jamie's restaurant: 30 x 3 = 90 km
Rate of speed to get to Bob's house in an hour: 90 x 1 = 90 km/h
Rate of speed to get to Bob's house in half an hour: 90/2 = 45 km/h The answer is (B).

question: A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Options:
(A) 26 sec
(B) 39 sec
(C) 36 sec
(D) 29 sec
(E) 30 sec
answer: Stream of consciousness: Time taken to cross a moving person = length of train/ relative speed
Time taken = 390/((45-9) (5/18) = 390/ 36*(5/18) = 390/10 = 39 sec The answer is (B).

question: The average of 11 results is 53, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) A) 46
(B) B) 23
(C) C) 66
(D) D) 76
(E) E) 74
answer:

[Assistant]
Stream of consciousness: 1 to 11 = 11 * 53 = 583
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 583 = 23 The answer is (B).


[User]
Question: How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
Options:
(A) 8
(B) 0
(C) 6
(D) 10
(E) 12 Let's think first. Some random reasoning:

[Assistant] A number ending with 2 can never be a perfect square. The final answer: (B).


[User]
q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 77 sec
(D) 55 sec
(E) 17 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The answer is (B).

question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Options:
(A) 60 %
(B) 55 %
(C) 70%
(D) 75%
(E) 80%
answer: Stream of consciousness: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 65 - {Both correctly} + 5
{Both correctly} = 55. The answer is (B).

q: 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
a: 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).

question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six 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) 25%
(B) 50%
(C) 75%
(D) 100%
(E) 150%
answer: Stream of consciousness: Dolphin once in 3 min;
Beluga once in 6 min;
So, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100. The answer is (E).

q: 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
a: Stream of consciousness: My ans is 16C3 = 560 The answer is (D).

q: A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
a:

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


[User]
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) 23
(B) 27
(C) 28
(D) 29
(E) 31
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 (B).

question: A train 410 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) 87
(C) 26
(D) 21
(E) 44
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 410 + 140 = 550 m
Required time = 550 * 2/25 = 44 sec The answer is (E).

q: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 7
(E) 9
a: Stream of consciousness: D = 25 * 60 + 2500 = 4000 m
T = 4000/60 * 18/5 = 240 sec = 4 mins The answer is (A).

question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).

q: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 49
(B) 88
(C) 25
(D) 18
(E) 11
a: Stream of consciousness: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs The answer is (A).

q: How many terminating zeroes T does 200! have?
Options:
(A)  40
(B)  48
(C)  49
(D)  55
(E)  64
a:

[Assistant] Stream of consciousness: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros. The answer is (C).


[User]
q: If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Options:
(A) 28
(B) 24
(C) 20
(D) 15
(E) 10
a: Stream of consciousness: 30^n = 2^n * 3^n * 5^n
100! has 97 2's, 48 3's and 24 5's
Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100! The answer is (B).

question: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Options:
(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
(B) Ram = Rs.2500, Shyam = Rs.500, Mohan = Rs.250
(C) Ram = Rs.1200, Shyam = Rs.1300, Mohan = Rs.750
(D) Ram = Rs.3500, Shyam = Rs.500, Mohan = Rs.250
(E) None
answer: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750 The answer is (A).

q: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 219
(B) 246
(C) 252
(D) 262
(E) 270
a: Stream of consciousness: Number of newborns that can die in first month = 1/10 * 300 = 30
Survived = 270
Number of newborns that can die in second month = 1/10 * 270 = 27
Survived = 243
Number of newborns that can die in third month = 1/10 * 243 = 24
Survived = 219 The answer is (A).

question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 80 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Options:
(A) 60 %
(B) 65 %
(C) 70%
(D) 75%
(E) 80%
answer: Stream of consciousness: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 80 - {Both correctly} + 5
{Both correctly} = 70. The answer is (C).

q: 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
a: 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. The answer is (B).

q: If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m −1
(B) 3m
(C) 6m
(D) m/5
(E) 6m/5
a:

[Assistant]
Stream of consciousness: 8m - n = p
Add n to both sides:
8m = n + p
Add m to both sides:
9m = n + p + m
Now, divide both sides by 3
3m = (n + p + m)/3 = the average of n, p, and m The answer is (B).


[User]
q: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--
Options:
(A) 12
(B) 360
(C) 60
(D) 180
(E) 720
a: Stream of consciousness: 5C3 * 4C2 * 4C2 = 10*6*6 = 360. The answer is (B).

question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
(A) a)  65/9
(B) b) 7
(C) c)  25
(D) d)  45
(E) e)  81
answer: Stream of consciousness: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate. The answer is (B).

q: How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 15
(B) 57
(C) 16
(D) 12
(E) 73
a: Stream of consciousness: (80/100) * 40 – (4/5) * 25
32 - 20 = 12 The answer is (D).

question: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Options:
(A) Two
(B) Five
(C) Six
(D) Four
(E) One
answer: Stream of consciousness: Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The answer is (A).

q: Which of the following is not divisible by 3?
Options:
(A) 10,395
(B) 41,714
(C) 15,354
(D) 30,708
(E) 29,313
a: Stream of consciousness: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3 The answer is (B).

q: a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?
Options:
(A) (ac) /(bd)
(B) (bd) /(ac)
(C) (bcd) /a
(D) d/c + b/a
(E) (a + b) d/c
a:

[Assistant] Stream of consciousness: As per the question, let a = 2, b = 6, c = 5, and d = 10. Plugging these into the answer choices, only A does not yield an integer. The answer is (A).


[User]
question: If the given two numbers are respectively 5% and 25% 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
answer: Stream of consciousness: Here, l = 5 and m = 25
Therefore, first number = l/m x 100% of second number = 5/25 x 100% of second number = 20% of second number The answer is (A).

q: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A)  4
(B)  6
(C)  9
(D)  10
(E)  12
a: Stream of consciousness: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides The answer is (A).

question: 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) 40, 68 kmph
(B) 40, 30 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 90, 30 kmph
answer: Stream of consciousness: Speed downstream = 60 + 30 = 90 kmph
Speed upstream = 60 - 30 = 30 kmph The answer is (E).

q: What is the area of a square with perimeter 8P ?
Options:
(A)  16p^2
(B)  4P^2
(C)  P^2/4
(D)  P/16
(E)  P^2/16
a: Stream of consciousness: Each side is 2p
A = (2p)^2 = 4(p^2) The answer is (B).

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) 6
(B) 5
(C) 7
(D) 8
(E) 2
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).

question: The number N is 5,H64, where H represents the hundred's digit. If N is divisible by 4, what is the value of H?
Options:
(A) 0
(B) 1
(C) 2
(D) 5
(E) All the above value
answer:

[Assistant] Stream of consciousness: If the number is divisible by 4, the last two digits must be divisible by 4. All the values yields such a number. The answer is (E).


[User]
question: Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence. Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, Fred took an earlier train, without informing his wife, and therefore he already was at the station of Alkmaar at five o'clock. He decided to walk part of the way to meet his wife. When he met the car with his wife, he drove home with her. In this way, they were home ten minutes earlier than normal. Fred's wife always drives the entire way between home and station at the same constant speed.How long did Fred walk yesterday evening?
Options:
(A) 55
(B) 45
(C) 58
(D) 65
(E) 59
answer: Stream of consciousness: Fred's wife needed to drive ten minutes less than usual, which is five minutes less in the direction of the station and five minutes less back home. Therefore, Fred met his wife at five minutes to six. He had walked already since five o'clock, so he walked 55 minutes in total. The answer is (A).

q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 99
(C) 66
(D) 55
(E) 71
a: Stream of consciousness: (60/100) * 50 – (40/100) * 30
30 - 12 = 18 The answer is (A).

question: In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
Options:
(A) 13440
(B) 1440
(C) 360
(D) 120
(E) None of these
answer: Stream of consciousness: When the vowels are always together, then treat all the vowels as a single letter and then all the letters can be arranged in 6! ways and also all three vowels can be arranged in 3! ways. Hence, required no. of arrangements = 6! × 3! = 4320. 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) 40, 68 kmph
(B) 40, 30 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 90, 30 kmph
a: Stream of consciousness: Speed downstream = 60 + 30 = 90 kmph
Speed upstream = 60 - 30 = 30 kmph The answer is (E).

question: A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event
'the number appearing is even' then find whether G and H are independent ?
Options:
(A) G and H are not independent events.
(B) G and H are independent events.
(C) Only G independent event
(D) Only H independent event
(E) None
answer: Stream of consciousness: We know that the sample space is S = {1, 2, 3, 4, 5, 6}
Now G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}
Then P(G) = 2/6 = 1/3
P(H) = 3/6 = 1/2 and P(G ∩ H) = 1/6
P(G n H) = P(G). P (H)
G and H are independent events. The answer is (B).

question: Last year, Company M made q dollars in profit. Half 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/4
(B) q/5
(C) q/6
(D) q/7
(E) q/8
answer:

[Assistant]
Stream of consciousness: Profit = q
Profit to company founder = q/2
Profit to other partners = q/2
Number of other partners = 3
Profit to each partner = (q/2)/3 = q/6 The answer is (C).


[User]
question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 1500
(C) s 300
(D) s 450
(E) s 550
answer: Stream of consciousness: Suppose the amount in the beginning was Rs ’x’
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 1500 The answer is (B).

q: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Options:
(A) 12 days
(B) 15 days
(C) 18 days
(D) 20 days
(E) 22 days
a: Stream of consciousness: A’s two day’s work = 2/20 = 1/10
(A + B + C)’s one day’s work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10
Work done in 3 days = (1/10 + 1/10) = 1/5
Now, 1/5 work is done in 3 days
Therefore, Whole work will be done in (3 x 5) = 15 days. The answer is (C).

question: How many zeroes are there at the end of the number N, if N = 100! + 200! ?
Options:
(A) 73
(B) 49
(C) 20
(D) 48
(E) 24
answer: Stream of consciousness: The number of zeroes at the end of 100! will be less than the number of zeroes at the end of 200!
Hence it would be sufficient to calculate the number of zeroes at the end of 100!
Number of zeroes = [100/5] + [100/25] + [100/125] = 20 + 4 + 0 = 24 The answer is (E).

q: A man rows his boat 80 km downstream and 38 km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 9
(C) 7
(D) 8
(E) 2
a: Stream of consciousness: Speed downstream = d/t = 80/(3) = 27 kmph
Speed upstream = d/t = 38/(3) = 9 kmph
The speed of the stream = (27 - 9)/2 = 9 kmph The answer is (B).

question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 49 Years
answer: Stream of consciousness: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years The answer is (E).

question: 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) 18%
(D) 21%
(E) 75%
answer:

[Assistant] Stream of consciousness: Increase = (30/40)*100 = 75%. The answer is (E).


[User]
Give a quick stream of consciousness before answering the following question. What number comes next in the following series? 4, 13, 40, 121, 364, x
Options:
(A) 1093
(B) 1100
(C) 1301
(D) 1400
(E) 1713

[Assistant]
4
4 × 3 + 1 = 13
13 × 3 + 1 = 40
40 × 3 + 1 = 121
121 × 3 + 1 = 364
364 × 3 + 1 = 1093
The answer: (A).


[User]
question: What approximate value should come in place of the question mark (?) in the following equation?
16√524 + 1492 - 250.0521?
Options:
(A) 1600
(B) 1800
(C) 1900
(D) 2400
(E) 1400
answer: Stream of consciousness: ? ≈ 16 × 23 + 1490 – 250 ≈ 1600 The answer is (A).
--
question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 20 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 33 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.
answer: Stream of consciousness: The ratio is 2:3 = gym:ride, so (20)(3/2) = 30 minutes at the gym, and 30 + 20 = 50 minutes exercise, so (2/3)(50) = 33 minutes yoga. The answer is (B).
--
question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?
Options:
(A) 20
(B) 22
(C) 24
(D) 1
(E) 30
answer: Stream of consciousness: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1. The answer is (D).
--
question: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 14
(E) 16
answer:

[Assistant]
Stream of consciousness: The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The answer is (D).
--


[User]
question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 300
(E) 150
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 300 m The answer is (D).

q: An design manager has 10patterns of chairs & 8patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 40
(C) 80
(D) 90
(E) 100
a: Stream of consciousness: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 8 ways
Hence one chair and one table can be arranged in 10 x 8 ways = 80 ways The answer is (C).

question: Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?
Options:
(A) 5 days
(B) 6 days
(C) 9 days
(D) 10 days
(E) None of these
answer: Stream of consciousness: 7 x 12 men complete the work in 1 day
Therefore, 1 man’s 1 day’s work = 1/84
7 men’s 5 days work = 5/12
Remaining work = 1- 5/12 = 7/12
5 men’s 1 day’s work = 5/84
5/84 work is don by them in 1 day
7/12 work is done by them in ((84/5) x (7/12)) = 49/5 days = 9 4/5 days The answer is (E).

q: In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?
Options:
(A) 1/4
(B) 1/2
(C) 3/5
(D) 9/10
(E) 16/20
a: Stream of consciousness: P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10. The answer is (D).

question: A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 70
(D) 36
(E) 12
answer: Stream of consciousness: 1/12 - 1/18 = 1/36
36 minutes 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:

[Assistant]
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).


[User]
Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
Options:
(A) 200
(B) 992
(C) 772
(D) 552
(E) 312 Let's think first. Stream of consciousness:

[Assistant]
1/2:1/2:1/4 = 2:2:1
1/5*1000 = 200
400-200 = 200
So, the answer is (A).


[User]
Some question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 280
(B) 290
(C) Rs.342
(D) 250
(E) 253
Some stream of consciousness:

[Assistant] 400*(90/100)* (95/100) = 342 The answer: (C).


[User]
q: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 45
(D) 60
(E) 120
a: Stream of consciousness: Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45 The answer is (C).
--
q: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.
Options:
(A) 110 kmph
(B) 120 kmph
(C) 108 kmph
(D) 100 kmph
(E) 98 kmph
a: Stream of consciousness: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train
In 20 sec the train travels a distance of 600 mtrs
Speed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph The answer is (C).
--
q: A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 56
(C) 29
(D) 27
(E) 21
a:

[Assistant]
Stream of consciousness: S = (400 + 300)/45 = 700/45 * 18/5 = 56 The answer is (B).
--


[User]
Student: Calculate the largest 5 digit number which is exactly divisible by 77?
Options:
(A) 99111
(B) 99946
(C) 99869
(D) 99792
(E) 99654.
Another student: Let's say, hmmm...

[Assistant]
Largest 4 digit number is 99999
After doing 99999 ÷ 77 we get remainder 53
Hence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946 Final answer: (B).


[User]
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) 2178
(B) 1087
(C) 2800
(D) 2689
(E) 2081 Random thoughts:

[Assistant]
(x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 – 5x/100 = 144
2x/100 = 56 è x = 2800 The final answer: (C).


[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 Think first, then make a decision. Some random thoughts:

[Assistant] From 64, he makes 8. From this 8 he makes one more. Total 9. So the answer is (C).


[User]
Q: 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 1/8
(B) 7 1/6
(C) 7 1/5
(D) 7 1/2
(E) 7 1/1
A: OK... 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: In what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 8 sec
(D) 6 sec
(E) 7 sec
A: OK... Stream of consciousness: T = 52/24 * 18/5 = 8 se
The answer is (C).

Q: The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 33
(E) 34
A: OK... Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 12+3 X 19 = 99
So, the middle number is (126 - 93 ) = 33
The answer is (D).

Q: A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
Options:
(A) 720
(B) 760
(C) 680
(D) 780
(E) 880
A:

[Assistant]
OK... Stream of consciousness: On first wheel there can be 10 digits. On the second wheel there will be one of the 9 digits and on the third wheel there will be 8 digits. Therefore, the number of numbers is
10 x 9 x 8 = 720
The answer is (A).


[User]
question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 120 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 150 m
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).

q: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire
rest of the car, then the share of each of the remaining persons increased by ?
Options:
(A) 1/9
(B) 1/8
(C) 1/7
(D) 7/8
(E) 8/7
a: Stream of consciousness: When there are eight people, the share of each person is 1/8th the total cost The answer is (B).

question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 124432
(B) 145366
(C) 157768
(D) 178432
(E) 220030
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).

q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 60 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220060
a: Stream of consciousness: (555 + 445) * 2 * 110 + 60 = 220000 + 60 = 220060 The answer is (E).

question: Sum of the local value and the face value of 4 in the numeral 153489216 is
Options:
(A) 40004
(B) 4004
(C) 4000004
(D) 400004
(E) 44
answer: Stream of consciousness: (Local value of 4) + (Face value of 4) = (400000 + 4) = 400004 The answer is (D).

question: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 3454
(B) 4586
(C) 9944
(D) 10564
(E) 18664
answer:

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


[User]
question: What percent is 120 of 80?
Options:
(A) 150 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
answer: Stream of consciousness: 120/80 = 3/2
3/2 × 100 = 300/2 = 150 % The answer is (A).

q: How much 70% of 100 is greater than 60% of 80?
Options:
(A) 18
(B) 99
(C) 22
(D) 26
(E) 71
a: Stream of consciousness: (70/100) * 100 – (60/100) * 80
70- 48 = 22 The answer is (C).

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) 297
(B) 268
(C) 300
(D) 179
(E) 172
answer: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300 The answer is (C).

q: Find a a prime number from the options below.
Options:
(A) 58
(B) 59
(C) 60
(D) 62
(E) 64
a: Stream of consciousness: Clearly, 59 is a prime number. The answer is (B).

question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 11/15 Find P(A|B)
Options:
(A) 11/4
(B) 2/3
(C) 3/2
(D) 4/5
(E) 4/7
answer: Stream of consciousness: P(A|B) = P(A âˆª B)/P(B)
P(A|B) = (11/15)/(4/15) = 11/4. The answer is (A).

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) 288
(B) 299
(C) 266
(D) 450
(E) 291
answer:

[Assistant]
Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450 The answer is (D).


[User]
question:If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Options:
(A) Rs. 60, Rs. 90, Rs. 389
(B) Rs. 60, Rs. 90, Rs. 360
(C) Rs. 60, Rs. 90, Rs. 368
(D) Rs. 60, Rs. 90, Rs. 329
(E) Rs. 60, Rs. 30, Rs. 329
answer:(B)
Stream of consciousness:(A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4
A:B = 2:3 and B:C = 1:4 = 3:12
A:B:C = 2:3:12
A;s share = 510 * 2/17 = Rs. 60
B's share = 510 * 3/17 = Rs. 90
C's share = 510 * 12/17 = Rs. 360.

question: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
answer:(C)
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

question:A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 30 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17 minutes
(B) 87 minutes
(C) 60 minutes
(D) 27 minutes
(E) 11 minutes
answer:

[Assistant]
(C)
Stream of consciousness:1/20 - 1/30 = 1/60
60 minutes


[User]
question:Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b)
(C) a(a + 3b)  + 2b(a + 3b)
(D) (3a + b) (a + 2b)
(E) a(a + 2b)  + 3b(a + 2b)
answer:(D)
Stream of consciousness:The other parts are equal to a2 + 5ab + 6b2.

question:The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 3/350
(E) 1/68
answer:(D)
Stream of consciousness:2/3 * 6/7 * 1/5 * 1/8 = 12/1400 = 3/350

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) 30
(B) 35
(C) 32
(D) 40
(E) 46
answer:

[Assistant]
(A)
Stream of consciousness:20 + 24 + 8 * 2 = 60/2 = 30


[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 2 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 0
a: Stream of consciousness: A number ending with 2 can never be a perfect squar The answer is (E).

question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Options:
(A) 190 metres
(B) 160 metres
(C) 180 metres
(D) 120 metres
(E) 200 metres
answer: Stream of consciousness: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 18 s
Distance Covered, d = vt = (400/36)× 18 = 200 m
Distance covered is equal to the length of the train = 200 m The answer is (E).

q: How many positive integers less than 50 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
a: Stream of consciousness: 1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers. The answer is (A).

question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Options:
(A) 49 sec
(B) 50 sec
(C) 48 second
(D) 43 sec
(E) 32 sec
answer: Stream of consciousness: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se The answer is (C).

q: How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Options:
(A) 20
(B) 40
(C) 120
(D) 60
(E) 10
a: Stream of consciousness: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 1 ways = 40 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:

[Assistant]
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).


[User]
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) 300
(B) 992
(C) 772
(D) 552
(E) 312
answer: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300 The answer is (A).

q: A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
Options:
(A) 6
(B) 8
(C) 10
(D) 12
(E) 15
a: Stream of consciousness: If students are A, B, C, D, E and F; we can have 6C3 groups in all. However, if we have to count groups in which a particular student (say A) is always selected we would get 5C2 = 10 ways of doing it. The answer is (C).

question: A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Options:
(A) 3887
(B) 2768
(C) 15000
(D) 76887
(E) 16711
answer: Stream of consciousness: Principal = (100 * 5400) / (12 * 3) = Rs. 15000 The answer is (C).

q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220040
a: Stream of consciousness: (555 + 445) * 2 * 110 + 40 = 220000 + 40 = 220040 The answer is (E).

question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 3 order of $150 ?
Options:
(A)  $1
(B)  $2
(C)  $3
(D)  $4
(E)  $8
answer: Stream of consciousness: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 18$
The difference = 8$. The answer is (E).

question: Find the odd man out 3, 5, 7, 12, 13, 17, 19
Options:
(A) 3
(B) 5
(C) 7
(D) 12
(E) 13
answer:

[Assistant] Stream of consciousness: 12 is an even number while the others are od The answer is (D).


[User]
Use some thinking to answer the following question. A man rows his boat 120 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 15
(C) 17
(D) 18
(E) 2

[Assistant]
Speed downstream = d/t = 120/(2 ) = 60 kmph
Speed upstream = d/t = 60/(2) = 30 kmph
The speed of the stream = (60 - 30)/2 = 15 kmph So the final answer is (B).


[User]
Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 120 m
(B) 100 m
(C) 324 m
(D) Cannot be determined
(E) None of these Let's think first. Some random reasoning:

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


[User]
q: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 88
(E) 12
a: 90 * 10/60 = 15 kmph The answer is (A).
--
q: Find the least number must be subtracted from 568219 so that remaining no.is divisible by 5?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
a: On dividing 568219 by 5 we get the remainder 4, so 4 should be subtracted The answer is (E).
--
q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 20 as remainder. Find the no. is?
Options:
(A) 122456
(B) 220020
(C) 220022
(D) 235467
(E) 220026
a: (555 + 445) * 2 * 110 + 20 = 220000 + 20 = 220020 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 540 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) 12/5
(E) 5/3
a:

[Assistant]
Distance traveled by Eddy = 540 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 540/3 = 180 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 = 180/75 = 12/5 The answer is (D).
--


[User]
q: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 17 sec
(D) 88 sec
(E) 20 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec The answer is (E).

question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 168
(E) 200
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m The answer is (E).

q: 8, 27, 64, 100, 125, 216, 343
Options:
(A) 40
(B) 100
(C) 290
(D) 102
(E) 293
a: Stream of consciousness: The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube. The answer is (B).

question: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Options:
(A) 6hours
(B) 3hours
(C) 2hours
(D) 5hours
(E) 4hours
answer: Stream of consciousness: A's 1 hour work = 1/3;
(B + C)'s 1 hour work = 1/2;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6
B's 1 hour work = (5/6 - 1/2) = 1/3
B alone will take 3 hours to do the work. The answer is (B).

q: In how many different ways can the letters of the word "POLICE" be rearrangement?
Options:
(A) 710
(B) 725
(C) 720
(D) 770
(E) 722
a: Stream of consciousness: Option 'C'
The total number of arrangements is
6P6 = 6! = 720 The answer is (C).

q: The average of first 10 even numbers is?
Options:
(A) 18
(B) 16
(C) 15
(D) 11
(E) 19
a:

[Assistant]
Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11 The answer is (D).


[User]
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 9 days
(B) 8 days
(C) 5 days
(D) 54 days
(E) 2 days
Answer: A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days
The answer is (B).

Question: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?
Options:
(A) 1000
(B) 992
(C) 772
(D) 552
(E) 312
Answer: 1/5:1/5:1/10 = 2:2:1
1/5*5000 = 1000
2000-1000 = 1000
The answer is (A).

Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 277
(B) 270
(C) 288
(D) 266
(E) 121
Answer: I = (500*9*6)/100 = 270
The answer is (B).

Question: Efrida and Frazer who live 12 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(E) 11
Answer:

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


[User]
question:Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 20%
(E) 10%
answer:(D)
Stream of consciousness:{Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 55 - {both} + 40
{both} = 20%.

question:In filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be?
Options:
(A) 100 cu.m
(B) 1000 cu.m
(C) 10000 cu.m
(D) 100000 cu.m
(E) 10000000 cu.m
answer:(C)
Stream of consciousness:100 * 10 * 10 = 10000

question:In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/7%
(B) 33 1/3%
(C) 33 1/2%
(D) 33 7/3%
(E) 33 5/3%
answer:

[Assistant]
(B)
Stream of consciousness:P = (P*3*R)/100
R = 33 1/3%


[User]
Give stream of consciousness and then the final answer. Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Options:
(A) 3
(B) 5
(C) 4
(D) 7
(E) 2

[Assistant]
On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted
The final answer: (D).


[User]
q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 450 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) 2
(C) 8/5
(D) 5/8
(E) 5/3
a: Stream of consciousness: Distance traveled by Eddy = 450 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 450/3 = 150 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 = 150/75 = 2 The answer is (B).
--
q: 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
a: 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).
--
q: The average of five results is 46 and that of the first four is 45. The fifth result is?
Options:
(A) 29
(B) 27
(C) 29
(D) 50
(E) 81
a:

[Assistant]
Stream of consciousness: 5 * 46 – 4 * 45 = 50 The answer is (D).
--


[User]
The average of 13 numbers is 59. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 59
(B) 83
(C) 45
(D) 53
(E) 64 Stream of consciousness first, then make a decision:

[Assistant]
Sum of all the 13 numbers = 13 * 59 = 767
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 - 767 = 59.
Thus, the answer is (A).


[User]
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) 287 sec
(B) 288 sec
(C) 48 sec
(D) 16 sec
(E) 17 sec Stream of consciousness:

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


[User]
Q: The average of first 10 odd numbers is?
Options:
(A) 44
(B) 10
(C) 99
(D) 77
(E) 62
A: OK... Stream of consciousness: Sum of 10 odd no. = 100
Average = 100/10 = 10
The answer is (B).

Q: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Options:
(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%
A: OK... Stream of consciousness: Say May income = 100
L's income = 60 and rest of the family = 40
In June L's income = 60 * 120 /100 = 72
So 72 /72 + 40 = 64%
The answer is (A).

Q: Given a two-digit number, the unit's digit exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?
Options:
(A) 26
(B) 15
(C) 37
(D) 62
(E) 73
A: OK... Stream of consciousness: Using the elimination method the option that fits this description is 15
5-1 = 4 (unit's digit that exceeds its ten's digit by 4)
15*6 = 90 (the product of the given number and the sum of its digits is equal to 175)
The answer is (B).

Q: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 115 m
(D) 110 m
(E) 150 m
A:

[Assistant]
OK... Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m
The answer is (B).


[User]
Some question: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2345
(B) 2790
(C) 3490
(D) 7389
(E) 5184
Some stream of consciousness:

[Assistant]
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer: (E).


[User]
q: If 4 girls can color 48 m long cloth in 2 days, then 6 girls can color 36 m long cloth in
Options:
(A) 1 1/5 days
(B) 1/5 day
(C) 1 day
(D) 2 days
(E) 3 days
a: OK... The length of cloth painted by one girl in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 girls = 36/ 6 × 6 = 1 day.
The answer is (C).

q: John makes $40 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) 100%
a: OK... Increase = (40/40)*100 = (1)*100 = 100%.
The answer is (E).

q: A boy runs 200 metres in 30 seconds. What is his speed ?
Options:
(A) 20 km/hr
(B) 24 km/hr
(C) 30 km/hr
(D) 32 km/hr
(E) 34 km/hr
a:

[Assistant]
OK... 200/30 * 18/5 = 24 km/hr
The answer is (B).


[User]
Some question: A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?
Options:
(A) 1 1⁄2 minutes
(B) 3 1⁄2 minutes
(C) 3 3⁄5 minutes
(D) 4 1⁄4 minutes
(E) None of these
Some stream of consciousness:

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


[User]
q: 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
a: 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).

question: Calculate the circumference of a circular field whose radius is 8 centimeters.
Options:
(A) 17 π cm
(B) 18 π cm
(C) 1 π cm
(D) 16 π cm
(E) 6 π cm
answer: Stream of consciousness: Circumference C is given by
C = 2πr = 2π*8 = 16 π cm The answer is (D).

q: 252 can be expressed as a product of primes as :
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 2 x 3 x 7 x 3 x 2
a: Stream of consciousness: 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).

question: How many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph?
Options:
(A) 23 sec
(B) 65 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
answer: Stream of consciousness: D = 100 + 130 = 230
S = 36 * 5/18 = 10 mps
T = 230/10 = 23 sec The answer is (A).

q: 123 : 36 : : 221 : ?
Options:
(A) 52
(B) 69
(C) 72
(D) 25
(E) 32
a: Stream of consciousness: (1+2+3)^2 = 36
(2+2+1)^2 = 25 The answer is (D).

q: 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
a:

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


[User]
Student: Find a a prime number from the options below.
Options:
(A) 69
(B) 70
(C) 71
(D) 72
(E) 74.
Another student: Let's say, hmmm...

[Assistant] Clearly, 71 is a prime number. Final answer: (C).


[User]
Student: The purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 15%
(B) 25%
(C) 30%
(D) 40%
(E) 45%.
Another student: Let's say, hmmm...

[Assistant]
Cost price of article = 48$
% of overhead cost = 5
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 5 = 30% Final answer: (C).


[User]
q: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 8765
(B) 8907
(C) 9944
(D) 9954
(E) 9990
a: OK... 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
The answer is (C).

q: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?
Options:
(A)  7
(B)  8
(C)  12
(D)  3
(E)  15
a: OK... Rate of H = 7 acres/hr
Remaining land to be harvested = 100 - 30 = 70
Rate of H and K = 70/7 = 10 acres/hr
Rate of K = 10 - 7 = 3
The answer is (D).

q: For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?
Options:
(A) At least one of U and V is odd
(B) The sum U + V is odd
(C) U and V share no common factors other than 1
(D) UV is odd.
(E) U is odd
a:

[Assistant]
OK... At least one of U and V is odd
The answer is (A).