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A survey of 100 students in an institution shows that 80 students speak Hausa and...

Mathematics
JAMB 1997

A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo?

  • A. 0
  • B. 9
  • C. 11
  • D. 20
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Correct Answer: Option B
Explanation

Let the number of students that speak Hausa and Igbo be represented by H and I respectively.

n(H only) = 80 - 9 = 71.

n(I only) = 20 - 9 = 11.

n(neither H nor I) = 100 - (71 + 9 + 11)

= 100 - 91 = 9 students.


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