q: Which of the following numbers is divisible by 8?
Options:
(A) 10021
(B) 17511
(C) 26778
(D) 18520
(E) 26711
a: Stream of consciousness: 18520. This is the only option with last two digits divisible by 8 The answer is (D).

question: The average age of a family of 6 members is 24 years.If the age of the youngest member is 8 years,what was the average age of the family at the birth of the youngest member?
Options:
(A) 15
(B) 16
(C) 21
(D) 12
(E) 19
answer: Stream of consciousness: Present age of total members = 6 X 24 = 144
8 yrs back their ages were = 6 x 8 = 48
Ages at the birth of youngest member = 144 - 48 = 96
Therefore, avg age at the birth of youngest member = 96/6 = 16. The answer is (B).

q: A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
Options:
(A) 13
(B) 11
(C) 9
(D) 1
(E) 3
a: Stream of consciousness: 45 + 31 = 76/15 = 1 (Remainder) The answer is (D).

question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A) 4
(B) 9
(C) 6
(D) 10
(E) 12
answer: Stream of consciousness: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and added top and bottom, hence 4+2 = 6. The answer is (C).

q: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 28
(C) 299
(D) 277
(E) 21
a: Stream of consciousness: S = (100 + 300)/45 = 400/45 * 18/5 = 32 The answer is (A).

q: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?
Options:
(A) Five
(B) Three
(C) One
(D) Two
(E) Four
a:
Stream of consciousness: Answer = C) One
Two digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92
Two digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93
Common Numbers = 29 = 1 The answer is (C).