Question: 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
Options:
(A) 66
(B) 291
(C) 26
(D) 29
(E) 11
Answer: If only 12 people shaked their hands, then total hand shakes are 12C212C2 = 66
The answer is (A).

Question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/9%
(B) 33 1/3%
(C) 332 1/3%
(D) 33 9/3%
(E) 13 1/3%
Answer: P = (P*3*R)/100
R = 33 1/3%
The answer is (B).

Question: Find the remainder when 6^23 is divided by 5 ?
Options:
(A) 3
(B) 2
(C) 1
(D) 0
(E) 4
Answer: 6^23 = 6^(4*5+3) = 6^(20) * 6^3 last 3 digits = 216
216/5 remainder = 1
The answer is (C).

Question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=5 and the height of the prism is 10, what is the volume of the prism?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Answer:
Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25
The answer is (E).