Question: 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
Answer: 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).

Question: From the set of numbers x, y, t, z, s and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x,s), etc and (x,y)=(y,x)
Options:
(A) 10
(B) 14
(C) 15
(D) 16
(E) 31
Answer: Another way: Any letter (x, y, z, w, s) can be included or not. So, we have 2^5 combinations - 1 empty combination = 31 combinations
The answer is (E).

Question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2134
(B) 2234
(C) 2540
(D) 2560
(E) 5184
Answer: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer is (E).

Question: In an office, 30 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A) 480
(B) 48
(C) 50
(D) 144
(E) 160
Answer:
(10/100)Workers = 16 = > number of workers = 160
(30/100)*Workers = x+16 = > x = 48
The answer is (B).