Question 111:

• WAEC 2016

The remainder when \(x^{3} - 2x + m\) is divided by \(x - 1\) is equal to the remainder when \(2x^{3} + x - m\) is divided by \(2x + 1\). Find the value of m.

A. \(\frac{-7}{8}\)
B. \(\frac{-3}{8}\)
C. \(\frac{1}{8}\)
D. \(\frac{5}{8}\)

Question 112:

• WAEC 2016

If (2t - 3s)(t - s) = 0, find \(\frac{t}{s}\).

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

Question 113:

• WAEC 2016

If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 \leq x \leq 5}\), where x is a real number, find \((P \cup Q)\).

A. \({x : -5 < x < 5}\)
B. \({x : -5 \leq x \leq 5}\)
C. \({x : -5 \leq x < 5}\)
D. \({x : -5 < x \leq 5}\)

Question 114:

• WAEC 2016

Express \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\) in the form \(p\sqrt{3} + q\sqrt{2}\).

A. \(7\sqrt{3} - \frac{17\sqrt{2}}{3}\)
B. \(7\sqrt{2} - \frac{17\sqrt{3}}{3}\)
C. \(-7\sqrt{2} + \frac{17\sqrt{3}}{3}\)
D. \(-7\sqrt{3} - \frac{17\sqrt{2}}{3}\)

Question 115:

• WAEC 2016

An operation * is defined on the set, R, of real numbers by \(p * q = p + q + 2pq\). If the identity element is 0, find the value of p for which the operation has no inverse.

A. \(\frac{-1}{2}\)
B. \(0\)
C. \(\frac{2}{3}\)
D. \(2\)