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CAT 2025 Slot 3 · Quant · Averages · easy

The average age of a football squad of 11 players decreases by 1 year when a player aged 34 is replaced by a new player. What is the age of the new…

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The average age of a football squad of 11 players decreases by 1 year when a player aged 34 is replaced by a new player. What is the age of the new player?
  1. A. 21 years
  2. B. 22 years
  3. C. 23 years
  4. D. 24 years
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Answer: (C) 23 years

When one player is replaced and the average age of all 11 players falls by 1 year, the total age falls by 11×1 = 11 years. This entire drop in total age is caused by the new player replacing the 34-year-old, so the new player's age = 34 − 11 = 23 years.
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