q: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 145 m
(C) 240 m
(D) 135 m
(E) 250 m
a: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 250 meter The answer is (E).

question: Which one of the following is a prime number?
Options:
(A) 10
(B) 61
(C) 49
(D) 75
(E) 91
answer: Stream of consciousness: 61 is divisible by 1, and itself. So, it is a prime number. The answer is (B).

q: A certain league has three divisions. The respective divisions had 8, 10, and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A) 51
(B) 52
(C) 54
(D) 56
(E) 57
a: Stream of consciousness: Overall, there can be 57 minuses. Tus, it is The answer is (E).

question: John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 75%
answer: Stream of consciousness: Increase = (30/40)*100 = (3/4)*100 = 75%. The answer is (E).

q: The edge of a cube is 9a cm. Find its surface?
Options:
(A) 153a2 cm2
(B) 143a2 cm2
(C) 233a2 cm2
(D) 243a2 cm2
(E) 253a2 cm2
a: Stream of consciousness: 6a2 = 6 * 9a * 9a = 243a2 The answer is (D).

q: A and B can do a work in 18 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 360/13 days
(B) 350/13 days
(C) 160/13 days
(D) 260/13 days
(E) 960/13 days
a:
Stream of consciousness: One day work of A and B = 1/18
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/18 + 1/30 + 1/36
2(A + B + C) = 21/180
(A + B + C) = 13/360
Number of days required = 360/13 days. The answer is (A).