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 and stream of consciousness: (A)
Stream of consciousness: D = 100 + 130 = 230
S = 36 * 5/18 = 10 mps
T = 230/10 = 23 sec

Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
Options:
(A) 3
(B) 2
(C) 4
(D) 1
(E) 5
Answer and stream of consciousness: (B)
Stream of consciousness: Present age of 5 members = 5 x 17 + 3 x 5 = 100 years
Also, present ages of 5 members + Age of the baby = 6 x 17 = 102 years
Age of the baby = 102 100 = 2 years.

There are 13person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 4!*2!
(B) 7!*2!
(C) 6!*1!
(D) 10!*2!
(E) 5!*1!
Answer and stream of consciousness: (D)
Stream of consciousness: Total number of ways = 10!*2!.

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 and stream of consciousness:
(A)
Stream of consciousness: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.