Mathematics Past Questions and Answers

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 317:

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 318:

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 319:

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 \(2\)

Question 320:

Consider the statements:<br/>p : Musa is short<br/>q : Musa is brilliant<br/>Which of the following represents the statement "Musa is short but not brilliant"?

A \(p \vee q\)
B \(p \vee \sim q\)
C \(p \wedge \sim q\)
D \(p \wedge q\)