Which of the following is a factor of 2 - x - x2?
1 - x
1 + x
x - 1
2 - x
Correct answer is A
2 - x - x2; (2 - 2x) + (x - x2)
= 2(1 - x) + x(1 - x)
= (1 - x)(2 + x)
= 1 - x
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
1.7cm
3.0cm
3.2cm
3.9cm
Correct answer is B
By Pythagoras theorem
h2 = (2\(\sqrt{3})^2 - (\sqrt{3})^2\)
= 22(\(\sqrt{3})^2 - 3\)
4(3) - 3 = 112 - 3
h2 = 9
h = \(\sqrt{9}\)
= 3cm
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
4%
3\(\frac{1}{2}\)%
3%
2\(\frac{1}{2}\)%
Correct answer is D
SI = \(\frac{PRT}{100}\)
39 = \(\frac{520 \times R \times 3}{100}\)
1560R = 3900
R = \(\frac{3900}{1560}\)
= 2.5%
R = 2\(\frac{1}{2}\)%
2
3
4
6
Correct answer is C
Let normal working hour = x
let overtime = y
after 10 hours = N31.00
1 x 2.50x + 4y = 31
4 x x + y = 10
2.50x + 4y = 31
- 4x + 4y = 30
----------------
-1.5x = -9
x = 6; x + y = 10
6 + y = 10
y = 10 - 4
y = 4hrs for over time
Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
4.0
2.0
1.6
0.0
Correct answer is C
log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
log (a x a\(^2\)) = 0.9030
log a\(^3\) = 0.9030
a\(^3\) = 10^.9030(antilogarithm table)
a\(^3\) = 7.998
a = 3\(\sqrt{7.998}\)
a = 1.6