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  9. Q24

Telangana Police SI 2018 · Question 24 of 96

A survey of 100 students: every student plays at least one of Football (F), Cricket (C), Volleyball (V). 20 play only F, 30 play only C, 25 play only V, 5 play all three, 8 play both F and V but not C. The number who play both F and C only equals the number who play both C and V only. The number of students who play at least two of the three games is:

Venn Diagram

  1. A22
  2. B23
  3. C24
  4. D25Correct

Answer: D. 25

Explanation

Let x = F&C only = C&V only. Total: 20+30+25+5+8+2x = 100, so x = 6. At least two games = (F&V only) + (F&C only) + (C&V only) + (all three) = 8+6+6+5 = 25.

Source: TSLPRB SCT SI Civil PWT 2018 official paper (Arithmetic & Test of Reasoning); answer verified by worked solution

← Q23View full paper (96 questions)Q25 →

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