Rationale: 225/(850 - 225) = 225/625 = 9/25 bit more than 33%.
The answer: (D)
Question: A cricket bat is sold for $850, making a profit of $225. The profit percentage would be
Options:
(A) 24%
(B) 25%
(C) 30%
(D) 36%
(E) 40%
Reasoning: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
Ans: (C)
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
(A) 1/7
(B) 1/9
(C) 1/5
(D) 1/8
(E) 1/2
Rationale: 6 people can be prized with distinct prizes in 6^6 ways
The answer: (A)
Question: In a race with 30 runners where 6 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 6^6 ways
(B) 8^9 ways
(C) 7^8 ways
(D) 8^7 ways
(E) 8^6 ways
Reasoning: 2/3 * 6/7 * 4/3 * 1/8 = 48/504 = 2/21
Ans: (A)
Question: The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?
Options:
(A) 2/21
(B) 1/48
(C) 1/98
(D) 1/96
(E) 1/68
Rationale: 30 Seconds
Distance travelled = 140 + 360m = 500m
Speed = 60 * 5/8 = 50/3m
Time = 500 * 3/50 = 30 Seconds
The answer: (A)
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 360 m long?
Options:
(A) 30 Seconds
(B) 22 Seconds
(C) 41 Seconds
(D) 24 Seconds
(E) 29 Seconds
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
The answer: (B)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 277
(D) 258
(E) 191