question: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two "tribes" of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Options:
(A) 120
(B) 126
(C) 252
(D) 560
(E) 1260
answer: Stream of consciousness: My ans is 16C3 = 560 The answer is (D).

q: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 22 kmph
(B) 40 kmph
(C) 20 kmph
(D) 15 kmph
(E) 23 kmph
a: Stream of consciousness: Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph The answer is (C).

question: What is the least value of integer N such that N! is divisible by 888 ?
Options:
(A) 13
(B) 88
(C) 31
(D) 37
(E) D) 888
answer: Stream of consciousness: 888 = 8*111 = 3*8*37
Hence 888 is a multiple of 37 and we need at least one 37 in N!
Therefore least value of N! is 37!, which will contain all of 3, 8, and 37. The answer is (D).

q: What is the sum of the 1st 5 prime numbers greater than 20?
Options:
(A) 121
(B) 151
(C) 168
(D) 164
(E) 161
a: Stream of consciousness: Required sum = (23 + 29 + 31 + 37 + 41) = 161
Note: 1 is not a prime number The answer is (E).

question: 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
answer: 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: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.
Options:
(A) 3
(B) 2
(C) 1
(D) 4
(E) 5
answer:
Stream of consciousness: Rule of Subtraction: P(A) = 1 - P(A')
Rule of Multiplication: P(A B) = P(A) P(B)
The probability that the pitcher throws a strike at least once in 2 guesses is 1- (3/5)^2 = 1 - 9/25 = 16/25 > 50%. The answer is (B).