q: The compound ratio of 2/3, 6/7, 1/3 and 3/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 1/96
(E) 3/42
a: Stream of consciousness: 2/3 * 6/7 * 1/3 * 3/8 = 36/504 = 3/42 The answer is (E).


question: What should come in place of the question mark (?) in the following equation?
9568 – 6548 – 1024 = ?
Options:
(A) 2086
(B) 1996
(C) 2293
(D) 1896
(E) None of these
answer: Stream of consciousness: ? = 9568 – 6548 – 1024 = 1996. The answer is (B).


q: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?
Options:
(A) Equal to 3
(B) Less than 5
(C) More than 5
(D) Less than 1/5
(E) none of these
a: Stream of consciousness: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5 The answer is (A).


question: The average of five results is 46 and that of the first four is 45. The fifth result is?
Options:
(A) 29
(B) 27
(C) 29
(D) 50
(E) 81
answer: Stream of consciousness: 5 * 46 – 4 * 45 = 50 The answer is (D).


q: The average age of applicants for a new job is 10, 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
a: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 10 - 8 = 2
Maximum age = average + 1 Standard deviation = 10+ 8 = 18
Maximum number of different ages of the applicants = 18 - 2 + 1 = 17 The answer is (C).


q: What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 8
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: (1056 / 28) gives remainder 20
20 + 8 = 28, So we need to add 8 The answer is (E).