Question: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Options:
(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
(B) Ram = Rs.7500, Shyam = Rs.1000, Mohan = Rs.750
(C) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.250
(D) Ram = Rs.1500, Shyam = Rs.1080, Mohan = Rs.750
(E) Ram = Rs.1500, Shyam = Rs.1002, Mohan = Rs.750
Answer: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
The answer is (A).

Question: The length T of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%
Answer: Let the length T of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence
The answer is (D).

Question: A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 12/28
(B) 48/19
(C) 16/48
(D) 18/48
(E) 12/64
Answer: One day work of A and B = 1/2
One day work of B and C = 1/6
One day work of C and A = 1/8
2(A + B + C) = 1/2 + 1/6 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days.
The answer is (B).

Question: A train 250 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
(A) 150m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
Answer:
D = 72 * 5/18 = 25 = 500 250 = 250m
The answer is (C).