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 range of values of x for which \(\frac{(x+2)}{4}-\frac{2x-3}{3}<4\)
x > -6
x > -3
x < 8
x < 4
Correct answer is A
\(\frac{x + 2}{4} - \frac{2x - 3}{3} < 4\)
\(\frac{3(x + 2) - 4(2x - 3)}{12} < 4\)
\(3x + 6 - 8x + 12 < 48\)
\(18 - 5x < 48 \implies -5x < 48 - 18\)
\(-5x < 30 \implies x > -6\)
15 days
12 days
5 days
9 days
Correct answer is D
The time (t) to do the work is inversely proportional to the number of workers (n).
\(\implies t \propto \frac{1}{n}\)
\(t = \frac{k}{n}\)
\(5 = \frac{k}{45} \implies k = 45 \times 5 = 225\)
\(\therefore t = \frac{225}{n}\)
For 25 men, \(t = \frac{225}{25} = 9\)
\(\therefore\) 25 men will do the work in 9 days.
Solve for x in the equation x\(^3\) - 5x\(^2\) - x + 5 = 0
1, - 1, or 5
1, 1, or -5
-1, 1, or -5
1, 1, or 5
Correct answer is A
x\(^3\) - 5x\(^2\) - x + 5 = 0.
\(x^{2}(x - 5) - 1(x - 5) = 0\)
\((x^2 - 1)(x - 5) = 0 \implies (x - 1)(x + 1)(x - 5) = 0\)
\(\therefore x = 1, -1, 5\)
If \(y = x^2 - \frac{1}{x}\). find dy/dx
2x - (1/x2)
2x + x2
2x - x2
2x + (1/x2)
Correct answer is D
\(y = x^{2} - \frac{1}{x} = x^{2} - x^{-1}\)
\(\frac{\mathrm d y}{\mathrm d x} = 2x - (- x^{-2})\)
= \(2x + \frac{1}{x^{2}}\)
2π
5π
π
4π
Correct answer is A
Area of the circle (A) = \(\pi r^{2}\)
\(\frac{\mathrm d A}{\mathrm d r} = 2\pi r\)
\(\frac{\mathrm d A}{\mathrm d t} = \frac{\mathrm d A}{\mathrm d r} . \frac{\mathrm d r}{\mathrm d t}\)
\(\frac{\mathrm d A}{\mathrm d t} = 2\pi \times 5 \times 0.2 = 2\pi\)