q: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 1/8, 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) 1/280
(C) 27/280
(D) 3/35
(E) 7/56
a: 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*1/8*5/7 + 1/5*7/8*2/7 + 4/5*1/8*2/7 = 27/280. The answer is (C).

question: A corporation triples its annual bonus to 50 of its employees. What T percent of the employees' new bonus is the increase?
Options:
(A) 50%
(B) 6623%
(C) 100%
(D) 200%
(E) 300%
answer: Stream of consciousness: T of the employees' new bonus is the increase Hence The answer is (B).

q: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land twice on heads and once on tails?
Options:
(A) 1/16
(B) 1/3
(C) 1/6
(D) 1/2
(E) 1/8
a: Stream of consciousness: Must be once on twice and once on tails
1/2*1/2*1/2 = 1/8 The answer is (E).

question: The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 16
(C) 17
(D) 18
(E) 34
answer: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 20 - 8 = 12
Maximum age = average + 1 Standard deviation = 20+ 8 = 28
Maximum number of different ages of the applicants = 28 - 12 + 1 = 17 The answer is (C).

q: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 0
a: Stream of consciousness: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20 The answer is (D).

q: A corporation triples its annual bonus to 50 of its employees. What percent W of the employees' new bonus is the increase?
Options:
(A) 50%
(B) 6623%
(C) 100%
(D) 200%
(E) 300%
a:
Stream of consciousness: W of the employees' new bonus is the increase Hence The answer is (B).