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In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and…

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?
  • A.
    95
  • B.
    80
  • C.
    125
  • D.
    110
Correct Answer: Option D
Explanation

Hint: Represent the question in a venn diagram, such that
n(B ∩ M) = x
n(B) only = 125-x
n(M) only = 110-x
=> 125-x + 110-x + x = 220
=> x = 15.
n(B) only = 125 – 15 = 110