question: Remainder of 2^47/47 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
answer: Stream of consciousness: (2^(47/46))/47 = 2^1/47 = 2 The answer is (A).

q: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 17
(B) 16
(C) 17
(D) 19
(E) 62
a: Stream of consciousness: Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a). The answer is (D).

question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 356
(B) 200
(C) 127
(D) 279
(E) 150
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m The answer is (B).

q: List K consists of 10 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K?
Options:
(A) 5
(B) 6
(C) 7
(D) 11
(E) 12
a: Stream of consciousness: Answer = A = 5
If least = -3, then largest = 6
Range = 6- 1 = 5 The answer is (A).

question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3
(B) 4
(C) 5
(D) 8
(E) 9
answer: Stream of consciousness: Speed in still water = (11 + 5)/2 kmph = 8 kmph. The answer is (D).

question: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Options:
(A) 6
(B) 7 23
(C) 6 23
(D) 6 13
(E) None of these
answer:
Stream of consciousness: 10 men + 15 women in 1 day do 115 + 112 = 960 work
\ Time taken = 609 days = 623 days The answer is (C).