Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest
2\(\frac{1}{2}\) years
3 years
3\(\frac{1}{2}\) years
1\(\frac{1}{2}\) years
Correct answer is A
Using \(S.I =\frac{P \times T \times R}{100}\)
\(600 =\frac{3000 \times T \times 8}{100}\)
\(T =\frac{600 \times 100}{3000 \times 8}\)
\(\frac{20}{8}\)
= 2\(\frac{1}{2}\) years
Evaluate \(\frac{1.25 \times 0.025}{0.05}\), correct to 1 decimal place
0.6
6.2
6.3
0.5
Correct answer is A
\(\frac{1.25 \times 0.025}{0.05}\)
\( = \frac{125 \times 10^{-2} \times 25 \times 10^{-3}}{5 \times 10^{-2}}\)
= 125 x 5 x 10-3
= 625 x 0.001
= 0.625
= 0.6 Approx to 1 d.p.
36
24
16
38
Correct answer is C
The sum, S of ratio is S = 5 + 3 + 2 = 10.
But highest share = \(\frac{5}{10} \times T\), where T is the total number of apples.
Thus, \(40 = \frac{5}{10} \times T\),
given 40 x 10 = 5T,
\(T = \frac{40 \times 10}{5} = 80\)
Hence the smallest share = \(\frac{2}{10} \times 80\)
= 16 apples
Convert 2710 to another number in base three
10013
10103
11003
10003
Correct answer is D
\(\begin{array}{c|c}
3 & \text{27 rem 0} \\
\hline
3 & \text{ 9 rem 0} \\
\hline
3 & \text{ 3 rem 0} \\
\hline
3 & \text{ 1 rem 1}\\
\hline
& 0
\end{array}\)
Hence the correct answer is 10003
\(\frac{2}{15}\)
\(\frac{1}{10}\)
\(\frac{1}{3}\)
\(\frac{2}{5}\)
Correct answer is C
Sample space S = {10, 11, 12, ... 30}
Let E denote the event of choosing a number divisible by 3
Then E = {12, 15, 18, 21, 24, 27, 30} and n(E) = 7
Prob (E) = \(\frac{n(E)}{n(S)}\)
Prob (E) = \(\frac{7}{21}\)
Prob (E) = \(\frac{1}{3}\)