Question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Options:
(A) 25/153
(B) 28/153
(C) 5/17
(D) E=4/9
(E) E=12/17
Answer: P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17.
The answer is (E).

Question: The inverse ratio of 9: 2: 1 is?
Options:
(A) 1:9:18
(B) 2:9:18
(C) 2:7:18
(D) 2:13:18
(E) 2:9:15
Answer: 1/9: 1/2: 1/1 = 2:9:18
The answer is (B).

Question: The length R 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 R 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: What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation?
Options:
(A) 2599980
(B) 235500
(C) 923580
(D) 765432
(E) 765434
Answer:
10(11111)*4! - 10(1111)3! = 2599980
The answer is (A).