Performing Arts Talent Count

CMAT 2025 · Logical Reasoning · Medium · Logical Reasoning

Atal Academy focuses on the performing arts. In the current batch, 40 students can sing, 60 students can dance and 24 students can act. No student is a triple threat (some one who can sing, dance and act). However, 16 students can sing as well as dance, 12 students can dance and act and 8 students can sing and act. How many students have only one performing talent?

  1. A.

    44

  2. B.

    52

  3. C.

    60

  4. D.

    66

Answer

B

Explanation

  • Only Sing =40−(16+8)=16= 40 - (16 + 8) = 16
  • Only Dance =60−(16+12)=32= 60 - (16 + 12) = 32
  • Only Act =24−(8+12)=4= 24 - (8 + 12) = 4

Total students with only one talent =16+32+4=52= 16 + 32 + 4 = 52.

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