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In the equation below, Solve for x if all the numbers are in base 2:...

Mathematics
JAMB 1985

In the equation below, Solve for x if all the numbers are in base 2: \(\frac{11}{x}\) = \(\frac{1000}{x + 101}\)
  • A. 101
  • B. 11
  • C. 110
  • D. 111
  • E. 10
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Correct Answer: Option B
Explanation
\(\frac{11}{x}\) = \(\frac{1000}{x + 101}\) = 11(x + 101)

1000x = 11x + 1111

1000x - 11x = 1111

101x = 1111

x = \(\frac{1111}{101}\)

x = 11

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WAEC offline past questions - with all answers and explanations in one app - Download for free
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Post UTME Past Questions Agent
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts