Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Options:
(A) 1/19
(B) 1/11
(C) 1/12
(D) 1/17
(E) 1/14
Answer: A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/3;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12
B's 1 hour work = (7/12 + 1/2) = 1/12
B alone will take 12 hours to do the work.
The answer is (C).

Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 12 sec
(E) 17 sec
Answer: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec
The answer is (D).

Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
Options:
(A) 100
(B) 120
(C) 130
(D) 143
(E) 145
Answer: The total number of arrangements is
5P5 = 5! = 120
The answer is (B).

Question: The price of a T.V. set worth Rs. 8000 is to be paid in 20 installments of Rs. 750 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 7250
(B) 7200
(C) 7820
(D) 6000
(E) 2799
Answer:
Money paid in cash = Rs. 750
Balance payment = (8000- 1000) = Rs. 7250
The answer is (A).