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SSC MTS 2021 · PYQ · Average · medium

The average of a set of 20 members is P. If one of the numbers from the set is replaced with 58, then the average becomes (P – 2). What is the value of the number that is replaced?

Answer

The correct answer is B: 98. Total of 20 numbers = 20P. After replacement: (20P – x + 58)/20 = P–2 → 20P – x + 58 = 20P – 40 → x = 58 + 40 = 98.

  1. A.60
  2. B.98✓ Correct
  3. C.104
  4. D.94

Explanation

Total of 20 numbers = 20P. After replacement: (20P – x + 58)/20 = P–2 → 20P – x + 58 = 20P – 40 → x = 58 + 40 = 98.
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