q: Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?
Options:
(A) 7/36
(B) 9/35
(C) 4/37
(D) 8/35
(E) 5/3
a: Stream of consciousness: A's one day's work = 1/18
B's one day's work = 1/24
(A + B)'s one day's work = 1/18 + 1/24 = 7/72
The part of the work completed in 3 days = 2 (7/72) = 7/36. The answer is (A).

question: If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these
answer: Stream of consciousness: Here, l = 7 and m = 28
Therefore, first number = l/m x 100% of second number = 7/28 x 100% of second number = 25% of second number The answer is (B).

q: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length?
Options:
(A) 18.9 sec
(B) 88.9 sec
(C) 22.9 sec
(D) 30.00 sec
(E) 72.0 sec
a: Stream of consciousness: D = 110 + 390 = 500 m
S = 60 * 5/18 = 50/3
T = 500 * 3/50 = 30 sec The answer is (D).

question: Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together?
Options:
(A) 11 days
(B) 9 days
(C) 8 days
(D) 12 days
(E) 10 days
answer: Stream of consciousness: 1/15 + 1/30 = 3/30
10/1 = 10 days The answer is (E).

q: If 4 girls can color 48 m long cloth in 2 days, then 6 girls can color 36 m long cloth in
Options:
(A) 1 1/5 days
(B) 1/5 day
(C) 1 day
(D) 2 days
(E) 3 days
a: Stream of consciousness: The length of cloth painted by one girl in one day = 48 / 4 2 = 6 m
No. of days required to paint 36 m cloth by 6 girls = 36/ 6 6 = 1 day. The answer is (C).

q: P and Q invested in a shop. The profits were divided in the ratio of 5: 2 respectively. If P invested Rs. 5600, the amount invested by Q is:
Options:
(A) 3500
(B) 5600
(C) 2200
(D) 2400
(E) None
a:
Stream of consciousness: Suppose Q invested Rs. y. Then, 5600/y = 5/2 or y = [5600 x 2 / 5] = 2240 The answer is (E).