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Mathematics Past Questions

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4176

Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\) 

  • A. -\(\frac{1}{3}\)
  • B. \(\frac{1}{2}\)
  • C. \(\frac{1}{3}\)
  • D. -\(\frac{1}{2}\)
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4177

If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y

  • A. 4
  • B. 5
  • C. 6
  • D. 7
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4178

If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.

  • A. 9
  • B. 10
  • C. 6
  • D. 8
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4179

Evaluate: 2\(\sqrt{28} - 3\sqrt{50} + \sqrt{72}\)  

  • A. 4\(\sqrt{7} - 21 \sqrt{2}\)
  • B. 4\(\sqrt{7} - 11 \sqrt{2}\)
  • C. 4\(\sqrt{7} - 9 \sqrt{2}\)
  • D. 4\(\sqrt{7} + \sqrt{2}\)
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4180

If m : n = 2 : 1, evaluate \(\frac{3m^2 - 2n^2}{m^2 + mn}\)

 

  • A. \(\frac{4}{3}\)
  • B. \(\frac{5}{3}\)
  • C. \(\frac{3}{4}\)
  • D. \(\frac{3}{5}\)
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