question: In a is a positive integer smaller than 200 and (14a)/60 is an integer, then a has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
answer: Stream of consciousness: 7a/30 tells us that a 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).

q: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/9%
(B) 33 1/3%
(C) 33 7/3%
(D) 33 2/3%
(E) 33 8/3%
a: Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).

question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 80,30 kmph
(B) 80,20 kmph
(C) 80,10 kmph
(D) 80,40 kmph
(E) 80,90 kmph
answer: Stream of consciousness: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph The answer is (D).

q: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 6 kmph
(C) 7 kmph
(D) 8 kmph
(E) 9 kmph
a: Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph The answer is (D).

question: A 160 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 64 kmph
(C) 52 kmph
(D) 86 kmph
(E) 76 kmph
answer: Stream of consciousness: S = 160/9 * 18/5 = 64 kmph The answer is (B).

question: Which of the following numbers is divisible by 8?
Options:
(A) 10021
(B) 17511
(C) 26778
(D) 18520
(E) 26711
answer:
Stream of consciousness: 18520. This is the only option with last two digits divisible by 8 The answer is (D).