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Post-UTME Mathematics 2015 Objective — Question 36

Question 36 of 40 from the Post-UTME Screening (Post-UTME) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

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After polling a class of 20 music students by a show of hands, you find that 8 students play the guitar and 9 students play the piano. What is the minimum number of students in this music class who play both the guitar and the piano?

  • A. 9
  • B. 17
  • C. 8
  • D. 0Correct

Explanation

Minimum overlap = 8+9-20 = -3, which is less than zero, so the minimum possible overlap is 0.

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