The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value…

Question

The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?

1. A. k (Correct answer)
2. B. k − 1
3. C. k + 1
4. D. k/2

Correct Answer

Option A — k

Detailed Solution & Explanation

The correct answer is k.

Key Points

• Average of p, q, r = k → p+q+r = 3k.
• "p is as much more than average as q is less": p−k = k−q → p+q = 2k.
• Therefore r = 3k−(p+q) = 3k−2k = k. Answer: r = k.