UPSC Prelims 2025·CSAT·Quantitative Aptitude·Arithmetic

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 ?

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Last updated 23 May 2026, 3:31 pm IST
  1. AkCorrect
  2. Bk - 1
  3. Ck + 1
  4. Dk / 2

Explanation

The average of three numbers p, q, and r is given as k. Mathematically, this means (p + q + r) / 3 = k, which can be rewritten as p + q + r = 3k. The problem states that p is as much more than the average (k) as q is less than the average (k). Let this difference be represented by x. Therefore, we can express p and q as follows: p = k + x q = k - x If we substitute these values into the total sum equation: (k + x) + (k - x) + r = 3k 2k + r = 3k r = 3k - 2k r = k Thus, the value of r is k. The correct option is A.
Quantitative Aptitude: 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 i
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