A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long?
Options:
(A) 40 sec
(B) 42 sec
(C) 45 sec
(D) 48 sec
(E) 50 sec

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 240 = 600 m
Required time = 600 * 2/25 = 48 sec So the answer is: (D).

A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?
Options:
(A) 42
(B) 43
(C) 44
(D) 45
(E) 46

Speed = 81 * 5/18 = 45/2 m/sec
Total distance covered = 650 + 340 = 990 m
Required time = 990 * 2/45 = 44 se So the answer is: (C).

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Options:
(A) 63
(B) 72
(C) 14
(D) 50
(E) 25

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63. So the answer is: (A).

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