- This is an assessment test.
- These tests focus on the basics of Maths and are meant to indicate your preparation level for the subject.
- Kindly take the tests in this series with a pre-defined schedule.
Basic Maths: Test 33
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Question 1 |
The value of\[\left( 0.25\overline{52}+0.2\overline{4} \right)\]
0.49 | |
$0.49\overline{99}$ | |
$0.\overline{496}$ | |
$0.49\overline{96}$ |
Question 1 Explanation:
Question 2 |
The value of $\sqrt{\frac{{{\left( 0.05 \right)}^{2}}+{{\left( 0.32 \right)}^{2}}+{{\left( 0.096 \right)}^{2}}}{{{\left( 0.005 \right)}^{2}}+{{\left( 0.032 \right)}^{2}}+{{\left( 0.0096 \right)}^{2}}}}$
0.1 | |
10 | |
102 | |
103 |
Question 2 Explanation:
Question 3 |
Simplify:
$\frac{0.52\times 0.52\times 0.52+0.58\times 0.58\times 0.58}{0.52\times 0.52-0.52\times 0.58+0.58+0.58}$
0.28 | |
1.1 | |
11 | |
2.8 |
Question 3 Explanation:
$\begin{align}
& Let\,\,0.52=x\,\,and\,\,0.58=y \\
& Therefore\,\,\exp ression \\
& =\frac{\left( {{x}^{3}}+{{y}^{3}} \right)}{\left( {{x}^{2}}-xy+{{y}^{2}} \right)} \\
& =\frac{\left( x+y \right)\left( {{x}^{2}}-xy+{{y}^{2}} \right)}{\left( {{x}^{2}}-xy+{{y}^{2}} \right)} \\
& =x+y=0.52+0.58=1.10 \\
\end{align}$
Question 4 |
Find the value of * in the following
$1\frac{5}{6}\div \frac{2}{9}\times \frac{*}{9}=2\frac{3}{4}\times \frac{5}{6}\div \frac{1}{12}$
$\frac{1}{30}$ | |
3 | |
0.3 | |
30 |
Question 4 Explanation:
We have
$\begin{align} & 1\frac{5}{6}\div \frac{2}{9}\times \frac{*}{9}=2\frac{3}{4}\times \frac{5}{6}\div \frac{1}{12} \\ & \Rightarrow \frac{11}{6}\times \frac{9}{2}\times \frac{*}{9}=\frac{11\times 5\times 12}{4\times 6} \\ & Therefore\,\,*=\frac{11\times 5\times 12\times 6\times 2\times 9}{4\times 6\times 11\times 9}=30 \\ \end{align}$
$\begin{align} & 1\frac{5}{6}\div \frac{2}{9}\times \frac{*}{9}=2\frac{3}{4}\times \frac{5}{6}\div \frac{1}{12} \\ & \Rightarrow \frac{11}{6}\times \frac{9}{2}\times \frac{*}{9}=\frac{11\times 5\times 12}{4\times 6} \\ & Therefore\,\,*=\frac{11\times 5\times 12\times 6\times 2\times 9}{4\times 6\times 11\times 9}=30 \\ \end{align}$
Question 5 |
The sum of $\sqrt{0.04}+\sqrt{0.16}+\sqrt{1.69}+\sqrt{0.0025}$ is:
2.4 | |
1.95 | |
2.95 | |
1.85 |
Question 5 Explanation:
\[\begin{align}
& \sqrt{0.04}+\sqrt{0.16}+\sqrt{1.69}+\sqrt{0.0025} \\
& =0.2+0.4+1.3+0.05 \\
& =1.95 \\
\end{align}\]
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