If log\(_{x^{1/2}}^{64}\) = 3, find the value of x
4
16
32
64
Correct answer is B
If logx1/264 = 3
(X 1/2)3 = 64
(X 1/2)3 = 4 3
X 1/2 = 4
X = 42
X = 16
simplify \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\)
3/8
2/3
3/4
3/2
Correct answer is A
\(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\\
=\frac{1}{16^{\frac{1}{2}}}\times \frac{1}{4^{\frac{1}{2}}}\times 27^{\frac{1}{3}}\\
=\frac{1}{\sqrt{16}} \times \frac{1}{\sqrt{4}} \times sqrt[3]{27}\\
=\frac{1}{4} \times \frac{1}{2} \times \frac{3}{1}\\
= \frac{3}{8}\)
The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase?
42%
41%
40%
25%
Correct answer is A
N85 - N60 = N25 increase
∴percentage increase = \(\frac{25}{60}\times \frac{100}{1}\\=\frac{125}{3}\\=41.67%\\
=42%\)
calculate the simple interest on N7,500 for 8 years at 5% per annum.
N3,000
N600
N300
N150
Correct answer is A
\(I = \frac{P \times T \times R}{100}\\
=\frac{7500 \times 8 \times 5}{100}\\
=N3000\)
Express 123456 to 3 significant figures
123000
124000
125000
126000
Correct answer is A
123456 \(\approxeq\) 123000.