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In a class of 75 students, 40 students participate in Cricket, 28 students participate in Hockey, and 12 students participate in both Cricket and Hockey, whereas 19 students do not participate in any of the two sports. How many students participate only in Hockey?

This question was previously asked in
SSC GD Constable Previous Year Paper (Held on: 29th November 2021 Shift 1) 
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  1. 28
  2. 44
  3. 16
  4. 35

Answer (Detailed Solution Below)

Option 3 : 16
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Detailed Solution

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In a class of 75 students.

19 students do not participate in any of the two sports.

  • Students who participate in any of the two sports or both the sports = 75 - 19 = 56

12 students participate in both Cricket and Hockey.

40 students participate in Cricket.

  • Students who participate only in Cricket = 40 - 12 = 28

28 students participate in Hockey

  • Students who participate only in Hockey = 28 - 12 = 16

Clearly, 16 students participate only in Hockey.

Hence, '16' is the correct answer.

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Latest SSC GD Constable Updates

Last updated on Jul 8, 2025

-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.

-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.

-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies. 

-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.

-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.

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