There are 10person 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) 7!*1!
(B) 7!*2!
(C) 6!*2!
(D) 8!*2!
(E) 6!*2!
Answer and stream of consciousness: (B)
Stream of consciousness: Total number of ways = 7!*2!.

Which of the following is equal to the average (arithmetic mean) of (y+4)^2 and (y-4)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2 +12
(D) x^2+21
(E) y^2+16
Answer and stream of consciousness: (E)
Stream of consciousness: Avg = [(y+4)^2 + (y-4)^2] / 2
Expanding and simplifying, (y^2 + 8y + 16 + y^2 - 8y + 16 ) / 2 = y^2 + 16

A 600 meter long train crosses a signal post in 50 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 8 min
(D) 9 min
(E) 5 min
Answer and stream of consciousness: (E)
Stream of consciousness: S = 600/50 = 12 mps
S = 3600/12 = 300 sec = 5 min

How many positive integers less than 60 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Answer and stream of consciousness:
(C)
Stream of consciousness: 1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers.