question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
(A) 1/0
(B) 1/3
(C) 1/5
(D) 1/2
(E) 1/1
answer: Stream of consciousness: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5 The answer is (C).

q: The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 26
(B) 45
(C) 90
(D) 80
(E) 65
a: Stream of consciousness: It is clear that 23 x 45 = 10 x 55 + K + 11 x 40 K = 45 The answer is (B).

question: The radius of a cone is 4 m, height 5 m. Find the curved surface area?
Options:
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
answer: Stream of consciousness: Cone curved surface area = rl = 22/7 4 5 = 440/7 = 62 6/7
Slant height (l) = r(power2)+h(power2) = 16+9 = 25 = 5 The answer is (C).

q: Find the value of y from (12)^3 x 6^4432 = y?
Options:
(A) 5618
(B) 5232
(C) 5889
(D) 5184
(E) 5132
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (D).

question: What is the area of a square with perimeter 12P ?
Options:
(A) 16p^2
(B) 4P
(C) 9P^2
(D) P/16
(E) P^2/16
answer: Stream of consciousness: Each side is 3p
A = (3p)^2 = 9p^2 The answer is (C).

question: The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?
Options:
(A) 15
(B) 18
(C) 77
(D) 52
(E) 42
answer:
Stream of consciousness: 90 * 12/60 = 18 kmph The answer is (B).