Question 101:

• WAEC 2016

If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.

A. \(3\frac{8}{9}\)
B. \(3\)
C. \(2\frac{1}{2}\)
D. \(2\)

Question 102:

• WAEC 2016

If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 \\ 1 & 3 \end{pmatrix}\), find PQ.

A. \(\begin{pmatrix} 5 & 1 \\ 16 & 5 \end{pmatrix}\)
B. \(\begin{pmatrix} 2 & 16 \\ 1 & 10 \end{pmatrix}\)
C. \(\begin{pmatrix} 2 & 7 \\ 1 & 8 \end{pmatrix}\)
D. \(\begin{pmatrix} 2 & 5 \\ -1 & -8 \end{pmatrix}\)

Question 103:

• WAEC 2016

Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).

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

Question 104:

• WAEC 2016

If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x.

A. \(y \geq \frac{1}{x}\)
B. \(y \leq \frac{1}{x}\)
C. \(y \leq \frac{1}{x^{2}}\)
D. \(y \geq \frac{1}{x^{2}}\)

Question 105:

• WAEC 2016

Simplify \(\frac{^{n}P_{5}}{^{n}C_{5}}\).

A. 80
B. 90
C. 110
D. 120