q: Find the odd man out
253, 136, 352, 327, 631, 244
Options:
(A) 327
(B) 136
(C) 352
(D) 631
(E) 531
a: Stream of consciousness: The sum all three digits comes to 10 except 327 The answer is (A).

question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 3/140
(B) 1/28
(C) 3/56
(D) 3/35
(E) 7/40
answer: Stream of consciousness: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 1/5*3/8*5/7 + 1/5*5/8*2/7 + 4/5*3/8*2/7 = 7/40. The answer is (E).

q: There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated?
Options:
(A) 20
(B) 30
(C) 40
(D) 50
(E) 10
a: Stream of consciousness: In the beginning it is 99 pounds water and 1 pound other stuff. At the end the 1 pound other stuff is 2 percent so the total weight is 50 pounds. 50 pounds - 1 pound other stuff = 49 pounds water. So 99 pounds - 49 pounds = 50 pounds water lost. The answer is (D).

question: A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 32 sec
(D) 49 sec
(E) 60 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 260 + 140 = 400 m
Required time = 400 * 2/25 = 32 se The answer is (C).

q: Find the largest 5 digit number which is exactly divisible by 88?
Options:
(A) 98765
(B) 98907
(C) 99944
(D) 99954
(E) 99968
a: Stream of consciousness: Largest 5 digit number is 99999
After doing 99999 88 we get remainder 31
Hence largest 5 digit number exactly divisible by 88 = 99999 - 31 = 99968 The answer is (E).

q: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 100 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 150 m
a:
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 6 = 100 m The answer is (A).