32
12
13
53
Correct answer is B
25x÷2x=5√210
applying the laws of indices
25x−x=210(1/5)
24x=210(1/5)
24x=22
Equating the powers
then 4x = 2
therefore, x = 24 = 12
12
15
10
14
Correct answer is D
each interior angle of a polygon = (n−2)×180n where n = no of side of a polygon
each exterior angle of a polygon = 360n
then (n−2)×180n = 6× 360n
= (n - 2) 180 = 2160
= 180n - 360 = 2160
= 180n = 2160 + 360
= 180n = 2520
therefore, n = 2520180 = 14.
Evaluate, correct to three decimal place 4.314×0.0000560.0067
0.037
0.004
0.361
0.036
Correct answer is D
4.314×0.0000560.0067
0.0002420.0067
= 0.036 ( to 3 decimal places)
23115
11315
13115
21325
Correct answer is C
4137 to base 5
convert first to base 10
4177=4×72+1×71+3×70
= 4 × 49 + 1 × 7 + 3 × 1
= 196 + 7 + 3
= 20610
convert this result to base 5
| 5 | 206 |
| 5 | 41R1 |
| 5 | 8R1 |
| 5 | 1R3 |
| 0R1 |
∴ 413_7 = 1311_5
For what value of x is \frac{ x^2 + 2 }{ 10x^2 - 13x - 3} is undefined?
\frac{1}{5}, \frac{3}{2}
\frac{-1}{5}, \frac{3}{2}
\frac{1}{5}, \frac{-3}{2}
\frac{-1}{5}, \frac{-3}{2}
Correct answer is B
The fraction \frac{ x^2 + 2 }{ 10x^2 - 13x - 3} is undefined when the denominator is equal to zero
then 10x^2 - 13x - 3 = 0
by factorisation, 10x^2 - 13x - 3 = 0 becomes 10x^2 - 15x +2x -3 = 0
5x(2x - 3) + 1(2x - 3) = 0
(5x + 1)(2x - 3) = 0
then, x = \frac{-1}{5} or \frac{3}{2}