Question: A motorcyclist goes from Bombay to Pune, a distance of 224 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 4:7
(D) 1:1
(E) 1:8
Answer: T = 224/32 = 7 h
T = 7 - 3 = 4
Time Ratio = 7:4
Speed Ratio = 4:7
The answer is (C).

Question: An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 60
(C) 80
(D) 90
(E) 100
Answer: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 6 ways
Hence one chair and one table can be arranged in 10 x 6 ways = 60 ways
The answer is (B).

Question: If P(A) = 2/15, P(B) = 7/15, and P(A B) = 16/15 Find P(A|B)
Options:
(A) 1/2
(B) 16/7
(C) 3/2
(D) 4/5
(E) 4/7
Answer: P(A|B) = P(A B)/P(B)
P(A|B) = (16/15)/(7/15) = 16/7.
The answer is (B).

Question: The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?
Options:
(A) 48
(B) 50
(C) 56
(D) 62
(E) 64
Answer:
1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 550 = 56
The answer is (C).