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CAT 2024 Slot 1 · Quant · Percentages · easy

In a class, 60% of the students are boys and the rest are girls. If 25% of the boys and 40% of the girls play chess, what percentage of the whole…

Single correct option

In a class, 60% of the students are boys and the rest are girls. If 25% of the boys and 40% of the girls play chess, what percentage of the whole class plays chess?
  1. A. 28%
  2. B. 29.5%
  3. C. 31%
  4. D. 33%
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Answer: (C) 31%

Take 100 students: boys = 60, girls = 40. Chess players among boys = 25% of 60 = 15. Chess players among girls = 40% of 40 = 16. Total chess players = 15 + 16 = 31, which is 31% of the class. Shortcut: weighted average of 25% and 40% with weights 60:40.
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Original question written in the CAT 2024 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