q: 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
a: 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 The answer is (C).


question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?
Options:
(A) 2
(B) 4
(C) 12
(D) 0
(E) 13
answer: Stream of consciousness: E
13
This is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next. The answer is (E).


q: A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 450
(B) 600
(C) 750
(D) 2400
(E) 300
a: Stream of consciousness: Answer E) 9600 yards need 1200 lbs
1 Yard will need 800/9600 = 1/12 lbs
3600 Yards will need 1/12* 3600 Yards = 300lbs The answer is (E).


question: The average of fifteen results is 593 and that of the first fourteen is 594. The fifteenth result is?
Options:
(A) 575
(B) 602
(C) 579
(D) 586
(E) 592
answer: Stream of consciousness: 15 * 593 â€“ 14 * 594 = 579 The answer is (C).


q: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Options:
(A)  1
(B)  2
(C)  46
(D)  50
(E)  97
a: Stream of consciousness: We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave. The answer is (B).


q: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
Options:
(A) 1/5
(B) 1/3
(C) 1/4
(D) 118/2
(E) 21/4
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: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5 The answer is (C).