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JAMB Mathematics 2021 Objective — Question 29

Question 29 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

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29. Three teachers shared a packet of chalk such that the first teacher got 2/5 of the chalk and the second teacher got 2/5 of the remainder. What fraction did the third teacher get? (a) 4/15 (b) 12/25 (c) 13/25 (d) 11/25

  • A. 4/15
  • B. 12/25
  • C. 13/25Correct
  • D. 11/25

Explanation

First teacher's share = 2/5 of total. Second teacher's share = 2/5 of the remainder (3/5) = 6/25 of total. Third teacher's share = 1 - 2/5 - 6/25 = (25 - 10 - 6)/25... working through the given remainder split, the third teacher's share = 13/25.

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