Question: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4 % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is
Options:
(A) 2 years
(B) 3years
(C) 4 years
(D) 5 years
(E) 6 years
Answer: Let the time be x years. Then (600 *3* x)/100 + (800*9*x)/(2*100) = 24
18x+ 36x = 246 ; x = 246/54 = 4 years
Required time = 4 years
The answer is (C).

Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
Options:
(A) 1/8
(B) 1/4
(C) 1/16
(D) 1/2
(E) 1/32
Answer: Must be either 4 tails or 4 heads
1/2*1/2*1/2*1/2+1/2*1/2*1/2*1/2
1/16 + 1/16 = 1/8
The answer is (A).

Question: For some integer y, y^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 29
(B) 30
(C) 31
(D) 38
(E) 41
Answer: Hint: y^2-5 (y is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
The answer is (B).

Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 0
Answer:
Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20
The answer is (D).