question: If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?
Options:
(A) xy/z
(B) (x + y) /z
(C) xz/y
(D) (x - y) /z
(E) (x + z) /y
answer: Stream of consciousness: As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z. The answer is (E).

q: The average age of applicants for a new job is 35, with a standard deviation of 30. 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) 31
(D) 18
(E) 34
a: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 35 - 30 = 5
Maximum age = average + 1 Standard deviation = 35+ 30 = 35
Maximum number of different ages of the applicants = 35- 5 + 1 = 31 The answer is (C).

question: Find the product of the localvalue and absolutevalue of 7 in 20768?
Options:
(A) 9200
(B) 1100
(C) 4900
(D) 3200
(E) 1600
answer: Stream of consciousness: Local value of 7 = 7 x 100 = 700
Place value of 7 = 7
There fore = 7 x 700 = 4900 The answer is (C).

q: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/9
(B) 17 1/3
(C) 17 1/7
(D) 17 1/9
(E) 17 1/1
a: Stream of consciousness: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7 The answer is (C).

question: A train 90 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Options:
(A) 29
(B) 18
(C) 14
(D) 99
(E) 13
answer: Stream of consciousness: D = 90 + 120 = 210
S = 54 * 5/18 = 15 mps
T = 210/15 = 14 se The answer is (C).

question: How much more would Rs.40000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 725
(C) 964
(D) 837
(E) 923
answer:
Stream of consciousness: 40000(11/10)4 - 40000(6/5)2 = 964 The answer is (C).