q: If the two hands in a clock are 3 minutes divisions apart,then the angle between them is
Options:
(A) 3°
(B) 18°
(C) 24°
(D) 60°
(E) None of these
a: Stream of consciousness: In a clock, each minute makes 6°
∴ 3 minutes will make 6 × 3 = 18° The answer is (B).


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


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: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 5/3%
(C) 3 1/9%
(D) 3 1/5%
(E) 3 1/7%
answer: Stream of consciousness: P = (P*30*R)/100
R = 3 1/3% The answer is (A).


q: Which of the following is equal to (x+1)!/x!
Options:
(A) x-1
(B) 1+(1/x) 
(C) x+1
(D) 1
(E) x
a: Stream of consciousness: (x + 1)! = (x + 1) * x!
(x + 1)!/x! = x + 1 The answer is (C).


q: There are 10 female and 15 male in a work place. In how many ways can a person can be selected?
Options:
(A) 20
(B) 15
(C) 18
(D) 40
(E) 25
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
Stream of consciousness: No of ways = 10+ 15 = 25 The answer is (E).