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Post-UTME Mathematics 2015 Objective — Question 35

Question 35 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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A number P is divisible exactly by 3, 5 and 7 and a number Q by 3, 5 and 7. The highest common factor of P and Q is

  • A. 15
  • B. 105
  • C. a factor of 15
  • D. a multiple of 15Correct

Explanation

Since both P and Q are multiples of 3x5x7=105, their HCF must be a multiple of 15.

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