q: If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 135 km
(B) 125 km
(C) 115 km
(D) 105 km
(E) 235 km
a: Stream of consciousness: 10 m/s = 10 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 10 * 18/5 * 15/4 km = 135 km. The answer is (A).

question: The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
Options:
(A) 40%
(B) 8%
(C) 25%
(D) 16.66%
(E) 9%
answer: Stream of consciousness: Original cost before weight adjustment: X
Cost after 90% weight adjustment: 9/10 X
20% profit on 9/10X: (120/100)(9/10)(X) or 108X/100
Mark up on original cost of X: (108X/100)/X-1 = 8/100 The answer is (B).

q: If P(A) = 2/15, P(B) = 4/15, and P(A B) = 6/15 Find P(A|B)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 4/5
(E) 4/7
a: Stream of consciousness: P(A|B) = P(A B)/P(B)
P(A|B) = (6/15)/(4/15) = 3/2. The answer is (C).

question: The average of first four prime numbers greater than 20 is?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
answer: Stream of consciousness: 23 + 29 + 31 + 37 = 120/4 = 30 The answer is (C).

q: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?
Options:
(A) 16%
(B) 50%
(C) 17%
(D) 17.61%
(E) 17.56%
a: Stream of consciousness: Increase = (30/60)*100 = (3/6)*100 = 50%. The answer is (B).

q: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 287
(D) 288
(E) 212
a:
Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).