Question: Find the third proportional to 2 and 8?
Options:
(A) 10
(B) 32
(C) 36
(D) 19
(E) 20
Answer: Formula = Third proportional = (b b)/a
A = 2 and B = 8
(8 x 8 )/ 2 = 64/2 = 32
The answer is (B).

Question: John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 50%
Answer: Increase = (20/40)*100 = 50%.
The answer is (E).

Question: There are 10 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 675
(D) 180
(E) 200
Answer: Number of ways of selecting 2 fiction books = 10C2
Number of ways of selecting 2 non fiction books = 6C2
10C2 * 6C2 = 45 * 15 = 675
The answer is (C).

Question: There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 315
(D) 180
(E) 200
Answer:
Number of ways of selecting 2 fiction books = 7C2
Number of ways of selecting 2 non fiction books = 6C2
7C2 * 6C2 = 21 * 15 = 315
The answer is (C).