- 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

Congratulations - you have completed *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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