Q: There are 5person 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) 2!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!
A: OK... Stream of consciousness: Total number of ways = 2!*2!.
The answer is (B).

Q: If P(32, 6) = kC (32, 6), then what is the value of k?
Options:
(A) 6
(B) 32
(C) 120
(D) 720
(E) None
A: OK... Stream of consciousness: Since 32P6 = k32C6
32/ ( 32-6 ) = k(32/ ( 32-6 )
k = 6! = 720
The answer is (D).

Q: An design manager has 10patterns of chairs & 10patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 40
(C) 80
(D) 90
(E) 100
A: OK... Stream of consciousness: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 10 ways
Hence one chair and one table can be arranged in 10 x 10 ways = 100 ways
The answer is (E).

Q: Select Odd number:
6, 9, 15, 21, 24, 28, 30
Options:
(A) 20
(B) 21
(C) 24
(D) 28
(E) 30
A:
OK... Stream of consciousness: Each of the numbers except 28, is a multiple of 3.
The answer is (D).