## Solution
Total number of ways = 7!*2!.
## What the question and answer could be
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!
(B)

## Solution
N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder S when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.
## What the question and answer could be
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder S when N is divided by 30?
Options:
(A) (a) 4
(B) (b) 7
(C) (c) 11
(D) (d) 13
(E) (e) 17
(C)

## Solution
15*14*13/3*2*1 = 455
## What the question and answer could be
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Options:
(A) 2,060
(B) 1,320
(C) 455
(D) 315
(E) 220
(C)

## Solution
S = 160/12 * 18/5 = 48 kmph
## What the question and answer could be
A 160 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Options:
(A) 48 kmph
(B) 54 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph
(A)