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Post-UTME Mathematics 2015 Objective — Question 34

Question 34 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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Determine the value of the base x if 343ₓ - 244ₓ = 11111 (base 2)

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

Explanation

343(x) - 244(x) = x²-1 (per the source's working); setting this equal to 31 (=11111 in base 2) and solving gives x=7, per the source key.

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