Kalpesh Sharma

*** A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together?

Ans. 8/9 days

*** Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?

Ans. 75m

Ex. Length of faster train = Distance traveled by faster train in 15 sec -
Distance traveled by slower train in 15 sec

*** Two cars are 15 Km apart. One is turning at a speed of 50kmph and the other at 40kmph. How much time will it take for the two cars to meet?

Ans. 3/2 hours

*** There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Rajesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Rajesh light the two candles?

Ans. 3 hours. Ex. (1-(x/6) = 2*(1-(x/4)) Ex. (x/6) = 2*(x/4)

*** In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?

Ans.3

*** In the 4 digits 1,2,3,4 how many 4 digit numbers are possible which are divisible by 4? Repetitions are allowed.

Ans. 64

*** Pipe A can fill in 20 minutes and Pipe B in 30 minutes and Pipe C can empty the same in 40 minutes. If all of them work together, find the time taken to fill the tank?

Ans. 17 1/7 minutes Ex. (N/20 + N/30 – N/40) = 1

*** A boat travels 20 km upstream in 6 hrs and 18 Km downstream in 4 hrs. Find the speed of the water current?

Ans. 7/12 km/h Ex. (20/6 + x) = (18/4 - x)
*** Rice is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?

Ans. 20 %. Ex. 4 Rs/Kg Increase. So she reduce 4 Rs. Rice = 200 gms

*** Father's age is three years more than three times the son's age. After three years, father's age will be ten years more than twice the son's age. What is the father's present age?

Ans. 33 years.

*** There are 20 poles with a constant distance between each pole. A car takes 24 second to reach the 12th pole. How much will it take to reach the last pole?

Ans. 41.45 seconds the dist. between two poles = x Hence 11x: 24 -> 19x: ?

*** At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o clock.

Ans. 66 sec.

*** Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.

Ans. 18
Initially. x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x

*** A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point.

Ans. 200miles.
Distance traveled by plane = 1/10 distance traveled by ship + 180

*** Fifty minutes ago if it was four times as many minutes past three o’clock, how many minutes is it to six o'clock?

Ans. Twenty-six minutes.

*** There are 6 volumes of books on a rack kept in order (i.e. vol.1, vol. 2 and so on). Give the position after the following changes were noticed.
All books have been changed
Vol.5 was directly to the right of Vol.2
Vol.4 has Vol.6 to its left and both weren't at Vol.3's place
Vol.1 has Vol.3 on right and Vol.5 on left
An even numbered volume is at Vol.5's place
Find the order in which the books are kept now.

Ans. 2, 5, 1, 3, 6, and 4