How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
If P and Q are two statements, under what condition would p|q be false?
If p is true and q is true
If p is true and q is false
If p is false and q is false
If p is false and q is true
Correct answer is B
From the truth table above, p \(\to\) q would be false if p is true and q is false
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
\(\frac{|PN|}{|PR|}\)
\(\frac{|PM|}{|PQ|}\)
\(\frac{|PM|}{|PR|}\)
\(\frac{|PR|}{|PQ|}\)
Correct answer is C
\(\frac{|PN|}{|PQ|}\) = \(\frac{|PM|}{|PR|}\)
27m
13.5 \(\sqrt{3m}\)
13.5 \(\sqrt{2m}\)
9\(\sqrt{3m}\)
Correct answer is D
From the diagram,
tan 30\(^o\) = \(\frac{h}{27}\)
h = 27 tan 30\(^o\)
= 27 x \(\frac{1}{\sqrt{3}}\)
= \(\frac{27}{\sqrt{3}}\) x \(\frac{\sqrt{3}}{\sqrt{3}}\)
= \(\frac{27 \sqrt{3}}{3}\)
= 9\(\sqrt{3m}\)
Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0
\(\frac{153}{250}\)
\(\frac{68}{111}\)
\(\frac{61}{100}\)
\(\frac{21}{33}\)
Correct answer is A
0.612 = \(\frac{0.612}{1}\) x \(\frac{1000}{1000}\)
= \(\frac{612}{1000}\)
= \(\frac{153}{250}\)
If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z
2:3
3:4
3:8
1:2
Correct answer is D
\(\frac{x}{y}\) = \(\frac{1}{4} \div \frac{3}{8}\) = \(\frac{1}{4} \times \frac{8}{3}\) = \(\frac{2}{3}\)
\(\frac{y}{z}\) = \(\frac{1}{3} \div \frac{4}{9}\) = \(\frac{1}{3} \times \frac{9}{4}\) = \(\frac{3}{4}\)
But,
x = \(\frac{2}{5}T_1\), y = \(\frac{3}{5}T_1\)
y = \(\frac{3}{7}T_2\), z = \(\frac{4}{7}T_2\)
Using y = y
\(\frac{3}{5}T_1\) = x = \(\frac{3}{7}T_2\)
\(\frac{T_1}{T_2}\) = \(\frac{3}{7}\) x \(\frac{5}{3}\) = \(\frac{15}{21}\)
\(T_1 = 15\) and \(T_2 = 21\)
Thus , x = \(\frac{2}{5}\) x 15 = 6
y = \(\frac{3}{5}\) x 15 = 9
y = \(\frac{3}{7}\) x 21 = 9
z = \(\frac{4}{7}\) x 21 = 12
Hence; x : z = 6 : 12
= 1 : 2