q: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:
Options:
(A) 35000
(B) 40000
(C) 50000
(D) 60000
(E) None
a: Stream of consciousness: Suppose Q invested Rs. y. Then, 40000/y = 2/3 or y = [40000 x 3 / 2] = 60000. The answer is (D).

question: Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/60
(A + B)'s one day's work = 1/30 + 1/60 = 1/20
The part of the work completed in 10 days = 10 (1/20) = 1/2. The answer is (D).

q: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) Rs.1261
(B) Rs.9261
(C) Rs.9621
(D) Rs.9162
(E) Rs.9164
a: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (B).

question: in how many ways can six members be selected from a group of ten members?
Options:
(A) 10C6
(B) 10C4
(C) 10C9
(D) 10C2
(E) 10C1
answer: Stream of consciousness: Six members can be selected from ten members in
10C6 = 10C4 ways. The answer is (B).

q: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
a: Stream of consciousness: Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2. The answer is (A).

q: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 11
(B) 12
(C) 30
(D) 98
(E) 15
a:
Stream of consciousness: 20 + 24 + 8 * 2 = 60/2 = 30 The answer is (C).