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Further Mathematics 2006 WAEC Past Questions

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16

The mean age of n men in a club is 50 years. Two men aged 55 and 63 years left the club, and the mean age reduced by 1 year. Find the value of n.

  • A. 30
  • B. 20
  • C. 18
  • D. 14
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17

A committee of 4 is to be selected from a group of 5 men and 3 women. In how many ways can this be done if the chairman of the committee must be a man?

  • A. 15
  • B. 40
  • C. 70
  • D. 175
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18

Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)

  • A. 24
  • B. 18
  • C. 12
  • D. 6
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19

Which of the following is a singular matrix?

  • A. \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\)
  • B. \(\begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 3 & 8 \\ 5 & 16 \end{pmatrix}\)
  • D. \(\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}\)
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20

Simplify \(8^{n} \times 2^{2n} \div 4^{3n}\)

  • A. \(2^{-n}\)
  • B. \(2^{1 - n}\)
  • C. \(2^{n}\)
  • D. \(2^{n + 1}\)
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts