The average age of applicants for a new job is 20, 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 and stream of consciousness: (C)
Stream of consciousness: Minimum age = Average - 1 Standard deviation = 20 - 8 = 12
Maximum age = average + 1 Standard deviation = 20+ 8 = 28
Maximum number of different ages of the applicants = 28 - 12 + 1 = 17


In case O is the only individual sewing on committee B, which among the following shouldserve on committee A?
Options:
(A) V and U
(B) V and T
(C) U and S
(D) P and Q
(E) T and U
Answer and stream of consciousness: (D)
Stream of consciousness: P and Q should serve on A


If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 4/5
(E) 4/7
Answer and stream of consciousness: (C)
Stream of consciousness: P(A|B) = P(A ∪ B)/P(B)
P(A|B) = (6/15)/(4/15) = 3/2.


The average of first four prime numbers greater than 10 is?
Options:
(A) 10
(B) 20
(C) 15
(D) 40
(E) 50
Answer and stream of consciousness:
(C)
Stream of consciousness: 11 + 13 + 17 + 19 = 60/4 = 15