q: Ravi can do a piece of work in 25 days while Prakash can do it in 35 days. In how many days will they finish it together?
Options:
(A) 15 7/9 days
(B) 16 17/9 days
(C) 15 1/19 days
(D) 14 7/12 days
(E) 14 7/9 days
a: Stream of consciousness: 1/25 + 1/35 = 12/175
175/12 = 14 7/12 days The answer is (D).


question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/9
(B) 1/7
(C) 1/6
(D) 1/2
(E) 1/1
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).


q: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/8%
(B) 33 1/3%
(C) 83 1/3%
(D) 33 4/3%
(E) 73 1/3%
a: Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).


question: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Options:
(A) 7
(B) 8
(C) 9
(D) 24
(E) 23
answer: Stream of consciousness: To construct 2 lines, three points can be selected out of 4 in 4 x 3 x 2 = 24 ways. Now, if third line goes from the third-point to the first point, a triangle is formed, and if it goes to the fourth point, a triangle is not formed. So, there are 24 ways to form a triangle and 24 ways of avoiding triangle. The answer is (D).


q: Divide Rs.32000 in the ratio 3:3?
Options:
(A) 12000, 20000
(B) 12000, 200098
(C) 16000, 16000
(D) 12000, 20006
(E) 12000, 20001
a: Stream of consciousness: 3/6 * 32000 = 16000
5/6 * 32000 = 16000 The answer is (C).


q: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Options:
(A) Two
(B) Five
(C) Six
(D) Four
(E) One
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: Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The answer is (A).