Question: In what time will a cart 50 m long cross, if its speed be 36 km/hr?
Options:
(A) 25
(B) 5
(C) 15
(D) 20
(E) 30
Answer: Speed = 36 * 5/18 = 10 m/sec
Time taken = 50/10 = 5 sec.
The answer is (B).

Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Options:
(A) 16
(B) 18
(C) 20
(D) 24
(E) 30
Answer: Distance between Maxwell's and Brad's home = 50 km
Maxwell's speed = 4 km/h
Brad's speed = 6 km/h
Relative speed of approach = 10 km/h
Time = 50/ 10 = 5 hours
Distance traveled by Maxwell when they meet in the middle = 4*5 = 20 km
The answer is (C).

Question: A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?
Options:
(A) 1/3
(B) 1/6
(C) 1/27
(D) 1/243
(E) 1/486
Answer: For each digit there are six possibilities. Two of them (3 and 6) are divisible by three, so there is a one in three chance for each digit, and since the digits are independent of each other, overall probability is 1 / 3^5 or
The answer is (D).

Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10000
(B) 297
(C) 9279
(D) 2767
(E) 2676
Answer:
100 * 100 = 10000
125 * 80 = 10000
The answer is (A).