Rationale: Area will be 2/3 *4/3 = 8/9 sq units.
The answer: (C)
Question: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?
Options:
(A) 1/9 sq units.
(B) 4/9 sq units.
(C) 8/9 sq units.
(D) 7/9 sq units.
(E) 6/9 sq units.

Reasoning: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5
Ans: (C)
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Options:
(A) 1/6
(B) 1/2
(C) 1/5
(D) 1/2
(E) 1/1

Rationale: T = 50/36 * 18/5 = 5 sec
The answer: (A)
Question: In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec

Reasoning: P = (P*30*R)/100
R = 3 1/3%
Ans: (A)
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 5/3%
(C) 3 1/9%
(D) 3 1/5%
(E) 3 1/7%

Rationale: A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days
The answer: (B)
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 7 days
(B) 8 days
(C) 3 days
(D) 9 days
(E) 2 days

Rationale: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
The answer: (A)

Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:3
(D) 1:1
(E) 1:7