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CAT 2022 Slot 1 · Quant · Averages · easy

The average weight of 10 people increases by 2.5 kg when a new person replaces one of them who weighed 55 kg. What is the weight of the new person?

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The average weight of 10 people increases by 2.5 kg when a new person replaces one of them who weighed 55 kg. What is the weight of the new person?
  1. A. 70 kg
  2. B. 75 kg
  3. C. 80 kg
  4. D. 85 kg
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Answer: (C) 80 kg

Total weight increases by 10 × 2.5 = 25 kg when the replacement happens (since the average of 10 people rises by 2.5 kg each). This entire increase is due to the new person replacing the 55 kg person, so new person's weight = 55 + 25 = 80 kg.
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Original question written in the CAT 2022 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake