question: The edge of a cube is 6a cm. Find its surface?
Options:
(A) 216a2
(B) 24a4
(C) 24a1
(D) 24a2
(E) 24a7
answer: Stream of consciousness: 6a2 = 6 * 6a * 6a = 216a2 The answer is (A).

q: A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?
Options:
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
a: Stream of consciousness: Speed = 99 * 5/18 = 55/2 m/sec
Total distance covered = 300 + 195 = 495 m
Required time = 495 * 2/55 = 18 sec The answer is (B).

question: The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
Options:
(A) 1/8
(B) 1/2
(C) 3/4
(D) 7/8
(E) 15/16
answer: Stream of consciousness: P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8. The answer is (D).

q: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 70/3
(C) s. 16.6
(D) s. 26/3
(E) s. 25
a: Stream of consciousness: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 70. So, the amount with remaining 6 people = 210 - 70 = Rs. 140
The average amount with them = 140/6 = Rs. 70/3 The answer is (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) 287
(B) 699
(C) 677
(D) 168
(E) 150
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).

question: A certain car uses 12 gallons of gasoline in traveling 360 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
answer:
Stream of consciousness: 360/10 = 36. The difference is 36 - 30 = 6. The answer is (C).