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.
Find the product xy if, x, 3/2, 6/7, y are in G.P
24/49
4/7
9/7
7/4
21/8
Correct answer is C
In GP, when you are given three consecutive terms, say f, g, h, then
\(f \times h = g^2\)
Given: \(x, \frac{3}{2}, \frac{6}{7}, y\), then
\(\frac{6x}{7} = (\frac{3}{2})^2 \implies \frac{6x}{7} = \frac{9}{4} ... (i)\)
Also, \(\frac{3y}{2} = (\frac{6}{7})^2 \implies \frac{3y}{2} = \frac{36}{49} ... (ii)\)
From \(\frac{6x}{7} = \frac{9}{4} \implies x = \frac{9 \times 7}{6 \times 4}\)
\(x = \frac{21}{8}\)
Also, \(\frac{3y}{2} = \frac{36}{49} \implies y = \frac{2 \times 36}{3 \times 49}\)
= \(\frac{24}{49}\)
\(xy = \frac{21}{8} \times \frac{24}{49} = \frac{9}{7}\)
400m
800m
1500m
1600m
1700m
Correct answer is D
From the diagram, \(\sin 30 = \frac{800}{x}\)
\(x = \frac{800}{\sin 30} \)
= \(\frac{800}{0.5} \)
= 1600 m
3.78m
3.80m
4.18m
4.20m
4.788m
Correct answer is D
Let the actual length of the room = y m
\(\therefore \frac{y - 3.99}{y} \times 100% = 5%\)
\(100(y - 3.99) = 5y \implies 100y - 399 = 5y\)
\(100y - 5y = 399 \implies y = \frac{399}{95}\)
y = 4.2 m
If log\(_{10}\) a = 4; what is a?
0.4
40
400
1000
10000
Correct answer is E
log\(_{10}\) a = 4
a = 10\(^4\)
= 10000
Simplify 0.63954 ÷ 0.003 giving your answer correct to two significant figures
213.18
213.00
213
210
21
Correct answer is D
= \(\frac{0.63954}{0.003}\)
moving the decimal places, we have
= \(\frac{639.54}{3}\)
= 213.18
\(\approxeq\) 210 (to 2 s.f.)