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 ?

Correct Answer: (A) 1 only

Let the amounts received be proportional to $p, q, r > 0$. In Statement 1, if $p > q + r$, then since $q > 0$ and $r > 0$, it follows directly that $p > q$ and $p > r$, ensuring A receives the strictly greatest share (Statement 1 is correct). In Statement 2, if $r < p + q$, C is not necessarily the minimum; for instance, if $p = 2, q = 3, r = 4$, we have $4 < 2 + 3$, yet C receives the maximum share, not the minimum (Statement 2 is incorrect).