If n is a natural number, then (6n^2 + 6n) is always divisible by
Options:
(A) 6 only
(B) 6 and 12 both
(C) 12 only
(D) 18 only
(E) 12 and 18 both
Answer and stream of consciousness: (B)
Stream of consciousness: (6n^2 + 6n) = 6n(n + 1), which is divisible by both 6 and 12, since n(n+1) is always even.

A can do a piece of work in 12 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) 28 days
(B) 76 days
(C) 16 days
(D) 18 days
(E) 19 days
Answer and stream of consciousness: (A)
Stream of consciousness: 8/12 + 6/x = 1
X = 18 days

A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 144
(C) 278
(D) 126
(E) 112
Answer and stream of consciousness: (B)
Stream of consciousness: S = 240/6 * 18/5 = 144 kmph

A can do a piece of work in 15 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) 11 6/7days
(B) 12 6/7days
(C) 13 6/7days
(D) 14 6/7days
(E) 15 6/7days
Answer and stream of consciousness:
(B)
Stream of consciousness: 8/15 + 6/x = 1
X = 12 6/7days