q: If the average (arithmetic mean) of the four numbers K, 2K + 2, 3K 5 and 5K + 1 is 63, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 22
(D) 23
(E) 23 1/11
a: Stream of consciousness: K + 2K +2 + 3K - 5 + 5K +1 = 11K -2
(11K -2)/4 = 63
11K = 63 * 4 +2 = 252 +2 = 254
K = 254 / 11 = 23 1/11 The answer is (E).

question: The edge of a cube is 7a cm. Find its surface?
Options:
(A) 24a8
(B) 24a4
(C) 24a1
(D) 24a2
(E) 294a2
answer: Stream of consciousness: 6a2 = 6 * 7a * 7a = 294a2 The answer is (E).

q: a, b, c, and d are positive integers where a is divisible by b and c is divisible by d. Which of the following is NOT necessarily an integer?
Options:
(A) (ac) /(bd)
(B) a/b + c/d
(C) (a + c) /(b + d)
(D) (abc) /d
(E) (acd) /b
a: Stream of consciousness: As per the question, let a = 10, b = 5, c = 6, and d = 2. Plugging these into the answer choices, only C does not yield an integer. The answer is (C).

question: A train 410 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
(B) 87
(C) 26
(D) 21
(E) 44
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 410 + 140 = 550 m
Required time = 550 * 2/25 = 44 sec The answer is (E).

q: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Options:
(A) 25%
(B) 50%
(C) 75%
(D) 100%
(E) 150%
a: Stream of consciousness: Dolphin once in 3 min;
Beluga once in 6 min;
So, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100. The answer is (E).

q: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 3 and the product of the given number and the sum of its digits is equal to 175.
Options:
(A) 25
(B) 36
(C) 47
(D) 52
(E) 63
a:
Stream of consciousness: Using the elimination method the option that fits this description is 25
5-2 = 3 (unit's digit that exceeds its ten's digit by 3)
25*7 = 175 (the product of the given number and the sum of its digits is equal to 175) The answer is (A).