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WAEC Mathematics 2025 Objective — Question 6

Question 6 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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If 101(base 2) + 12(base y) = 23(base five), find the value of y.

  • A. 8
  • B. 7
  • C. 6Correct
  • D. 5

Explanation

Converting to base 10: 101(base2) = 4+0+1 = 5, and 23(base5) = 2(5)+3 = 13. So 5 + (1xy+2) = 13, giving y+7=13, so y=6.

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