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 \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\), find the value of x
3
4
5
2
Correct answer is A
\(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\)
x x 7 - 2 x 3 = 15
7x - 6 = 15
7x = 15+6
7x = 21
x = 21/7
x = 3
If p and q are two non zero numbers and 18(p+q) = (18+p)q, which of the following must be true?
q = 18
p <1
p = 18
q < 1
Correct answer is A
If 18(p + q) = (18 + p)q
then 18p + 18q = 18q + pq
18p = pq ⟹⟹ q = 18.
If x * y = x + y2, find then value of (2*3)*5
36
25
11
55
Correct answer is A
x * y = x + y2
2 * 3 = 2 + 32
= 2 + 9
= 11
(2 * 3) * 5 = 11 + 52
= 11 + 25
= 36
If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64
12
6
3
5
Correct answer is B
y ∝ √x
y = K√x
K = y/√x = 3/√16
= 3/4
y = 3/4√x
= 3/4√64 when x = 64
= 3/4 x 8/1
= 6
Factorize completely \(\frac{x^{3} + 3x^{2} - 10x}{2x^{2} - 8}\)
| x(x-5) |
| 2(x+2) |
| x(x-5) |
| 2(x-2) |
| x(x+5) |
| 2(x+2) |
| x2+5 |
| 2x+4 |
Correct answer is C
\(\frac{x^{3} + 3x^{2} - 10x}{2x^{2} - 8} = \frac{x(x^{2} + 3x - 10)}{2(x^{2} - 4)}\)
= \(\frac{x(x^{2} - 2x + 5x - 10)}{2(x - 2)(x + 2)}\)
= \(\frac{x(x - 2)(x + 5)}{2(x - 2)(x + 2)}\)
= \(\frac{x(x + 5)}{2(x + 2)}\)