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The Venn diagram shows the preference of the student population for leisure activities. From the data given, the number of student who like to read books or play sports is

The Venn diagram shows the preference of the student population for leisure activities. From the data given, the number of student who like to read books or play sports is Correct Answer 108

From Venn diagram

n(A) = no of persons reading books = 13 + 44 + 12 + 7 = 76

n(B) = no of persons playing = 15 + 44 + 7 + 17 = 83

n(A ∩ B) = 44 + 7 = 51

n(A ∪ B) = n(A) + n(B) – n(A ∩ B) = 76 + 83 – 51 = 108

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