Q. An amount of money was distributed among A, B and C in the ratio p : q : r.
Consider the following statements :
1. A gets the maximum share if p is greater than (q+r).
2. C gets the minimum share if r is less than (p+q).
Which of the above statements is/are correct ?
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Correct Answer: (a) 1 only
Question from UPSC Prelims 2021 CSAT Paper
Explanation :
Amount of money was distributed among a b and c
Ratio of distribution of money among A, B, and C is p : q : r.
Considering statement 1:
If p > (q + r), then p is definitely the largest number.
So, A must have got the maximum share. Hence, statement 1 is correct.
Considering statement 2:
If r < (p + q), then r may or may not be the smallest number.
For example, 5 < (2 + 4)
So, C may or may not have got the minimum share. Hence, statement 2 is incorrect.
