q: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Options:
(A) 1/19
(B) 1/11
(C) 1/12
(D) 1/17
(E) 1/14
a: Stream of consciousness: A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/3;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12
B's 1 hour work = (7/12 + 1/2) = 1/12
B alone will take 12 hours to do the work. The answer is (C).

question: Which of the following numbers is divisible by 9?
Options:
(A) 23274
(B) 25181
(C) 31001
(D) 50123
(E) 11251
answer: Stream of consciousness: 23274. This is the only option with last two digits divisible by 9 The answer is (A).

q: Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days?
Options:
(A) 1/8
(B) 1/3
(C) 3/6
(D) 3/8
(E) 5/3
a: Stream of consciousness: A's one day's work = 1/20
B's one day's work = 1/40
(A + B)'s one day's work = 1/20 + 1/40 = 3/40
The part of the work completed in 5 days = 5 (3/40) = 3/8. The answer is (D).

question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=5 and the height of the prism is 10, what is the volume of the prism?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
answer: Stream of consciousness: Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25 The answer is (E).

q: In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 41
(B) 63
(C) 72
(D) 63
(E) 50
a: Stream of consciousness: 44 + 28 + 10 = 82%
100 82 = 18%
400 * 18/100 = 72 The answer is (C).

q: How many positive integers less than 60 have a reminder 01 when divided by 3?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 20
a:
Stream of consciousness: 1 also gives the remainder of 1 when divided by 3. So, there are total of 20 numbers. The answer is (E).