If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
Options:
(A) $10
(B) $20
(C) $30
(D) $40
(E) $50

Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50 So the answer is: (E).

In a school of 850 boys, 34% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 627
(C) C) 153
(D) D) 238
(E) E) 159

34 + 28 + 10 = 72%
100 72 = 28%
850 * 28/100 = 238 So the answer is: (D).

What is the smallest positive integer x, such that 1,152x is a perfect cube?
Options:
(A) 4
(B) 6
(C) 8
(D) 12
(E) 18

We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3
1152 = 2^7*3^2
The minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12 So the answer is: (D).

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 22 sec
(C) 27 sec
(D) 17 sec
(E) 37 sec
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec So the answer is: (A).