q: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) 40% of 160 + 13 of 240
(B) 120% of 1200
(C) 38 12 39 8
(D) 1648 938 566
(E) 6 12 of 140 2.5 306.4
a: Stream of consciousness: Others are equal to 144 whereas (b) equals 1440. The answer is (B).

question: Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet?
Options:
(A) o
(B) p
(C) e
(D) r
(E) s
answer: Stream of consciousness: 10th letter from your left is J
7th letter from your right is T
The mid letter between J and T is O. The answer is (A).

q: In b is a positive integer smaller than 200 and (14b)/60 is an integer, then b has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
a: Stream of consciousness: 7b/30 tells us that b is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).

question: The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 4/189
(D) 1/96
(E) 1/68
answer: Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189 The answer is (C).

q: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Options:
(A) 1/8
(B) 1/2
(C) 1/5
(D) 1/5
(E) 1/3
a: 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 of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?
Options:
(A) 35
(B) 37
(C) 46
(D) 48
(E) 50
a:
Stream of consciousness: Sum of all the 13 results = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46. The answer is (C).