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 ?

Statement 1: A gets the maximum share if p is greater than (q + r). To get the maximum share, 'p' must be greater than both 'q' and 'r' individually. If p > (q + r), then since q and r are positive values (shares in a ratio), it automatically implies: 1. p > q (because p is greater than q plus another positive number r) 2. p > r (because p is greater than r plus another positive number q) Since p is greater than both q and r, A indeed gets the maximum share. Thus, Statement 1 is correct. Statement 2: C gets the minimum share if r is less than (p + q). To get the minimum share, 'r' must be less than both 'p' and 'q' individually. If r < (p + q), this does not guarantee that r is less than both p and q. Consider a counter-example: Let p = 3, q = 4, r = 5. Here, r = 5. p + q = 3 + 4 = 7. Is r < (p + q)? Yes, 5 < 7. However, in this example, C's share (r=5) is not the minimum. A's share (p=3) is the minimum. The condition r < (p + q) only means r is smaller than the sum of the other two, which is almost always true unless r is extremely large. It does not ensure r is the smallest among the three. Thus, Statement 2 is incorrect. Therefore, only Statement 1 is correct. The final answer is A