question:In how many different ways can the letters of the word "FAME" be rearrangement?
Options:
(A) 26
(B) 24
(C) 28
(D) 12
(E) 30
answer:(B)
Stream of consciousness:Option 'B'
The total number of arrangements is
4P4 = 4! = 24

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:(D)
Stream of consciousness: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

question:A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 2 days
(B) 8 days
(C) 6 days
(D) 8 days
(E) 9 days
answer:
(B)
Stream of consciousness:A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days