q: Which of the following numbers is divisible by 8?
Options:
(A) 10021
(B) 17511
(C) 26778
(D) 18520
(E) 26711
a: 18520. This is the only option with last two digits divisible by 8 The answer is (D).
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q: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 3/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 63/280
(B) 1/280
(C) 3/56
(D) 3/35
(E) 7/40
a: 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*4/7 + 1/5*5/8*3/7 + 4/5*3/8*3/7 = 63/280. The answer is (A).
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q: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 2700, then his salary per month in rupees is:
Options:
(A) 4000
(B) 6000
(C) 18000
(D) 10000
(E) None of these
a: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 2700, Salary = 18000 Rs. The answer is (C).
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q: 16,25,36,72,144,196,225
Options:
(A) 36
(B) 196
(C) 225
(D) 144
(E) 72
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Each of the numbers except 72 is a perfect squar The answer is (E).
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