- 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 56

Congratulations - you have completed *Basic Maths: Test 56*.

You scored %%SCORE%% out of %%TOTAL%%.

Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1 |

$\frac{0.216+0.064}{0.36-0.24+0.16}$ is equal to

0.3 | |

0.5 | |

0.8 | |

1.0 |

Question 1 Explanation:

$\begin{align}
& if\,\,0.6=a\,\,\,and\,\,\,0.4=b\,\,\,then, \\
& Expression\,\, \\
& =\frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}} \\
& =\frac{\left( a+b \right)\left( {{a}^{2}}-ab+{{b}^{2}} \right)}{{{a}^{2}}-ab+{{b}^{2}}}=a+b \\
& =0.6+0.4=1.0 \\
\end{align}$

Question 2 |

$\sqrt{\frac{0.025\times 0.049\times 0.008\times 0.64}{0.002\times 0.0008\times 0.0002}}$ is equal to

134 | |

136 | |

138 | |

140 |

Question 2 Explanation:

$\begin{align}
& =\sqrt{\frac{0.025\times 0.049\times 0.008\times 0.64}{0.002\times 0.0008\times 0.0002}} \\
& =\sqrt{\frac{25\times 49\times 8\times 64}{2\times 8\times 2}} \\
& =5\times 7\times 4 \\
& =140 \\
\end{align}$

Question 3 |

$\frac{5.29\times 0.14}{2.3\times 1.4\times 0.23}$is simplified to

1 | |

0.1 | |

0.01 | |

10 |

Question 3 Explanation:

$\begin{align}
& =\frac{5.29\times 0.14}{2.3\times 1.4\times 0.23} \\
& =\frac{529\times 14}{23\times 14\times 23}=1 \\
\end{align}$

Question 4 |

$45+5\times 0.5=?$

45 | |

47.25 | |

47.5 | |

41.5 |

Question 4 Explanation:

$\begin{align}
& 45+5\times 0.5=? \\
& \Rightarrow 45+2.5=? \\
& \Rightarrow ?=47.5 \\
\end{align}$

Question 5 |

$1864+423-?=1699$

518 | |

608 | |

588 | |

618 |

Question 5 Explanation:

$\begin{align}
& 1864+423-?=1699 \\
& \Rightarrow 2287-?=1699 \\
& \Rightarrow ?=2287-1699=588 \\
\end{align}$

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