Observe the given figure and answer question below. If 50 play Football, 40…

2025

Observe the given figure and answer question below. If 50 play Football, 40 play Cricket and 30 play Basketball, then what is the number of players who play Football or Cricket but not Basketball?

image.png

  1. A.

    45

  2. B.

    85

  3. C.

    52

  4. D.

    50

Attempted by 49 students.

Show answer & explanation

Correct answer: D

To find the number of players who play Football or Cricket but not Basketball, we identify the regions in the Venn diagram that are inside the Football and Cricket circles but outside the Basketball circle.

These regions contain the following values:

- Only Football: 24

- Football and Cricket only (no Basketball): 14

- Only Cricket: 12

Summing these values: 24 + 14 + 12 = 50.

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