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

Mathematics
JAMB 2002

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
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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

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