An amount of money was distributed among A, B and C in the ratio p : q : r. Consider the following…
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?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Solution
Statement 1: If $p > q + r$, then p is greater than both q and r individually, so A definitely gets the maximum share; correct. Statement 2: If $r < p + q$, r may or may not be the smallest; e.g. $5 < 2 + 4$ but 5 is the largest. So C may not get the minimum share; incorrect. Hence option (a).