- 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 55

Congratulations - you have completed *Basic Maths: Test 55*.

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Your answers are highlighted below.

Question 1 |

The value of $\left[ \frac{{{\left( 0.456+0.123 \right)}^{2}}-{{\left( 0.456-0.123 \right)}^{2}}}{0.456\times 0.123} \right]$ is

4 | |

0.211 | |

0.463 | |

0.4246 |

Question 1 Explanation:

Let 0.456=a and 0.123 =b.

Therefore expression

$=\frac{{{\left( a+b \right)}^{2}}-{{\left( a-b \right)}^{2}}}{ab}=\frac{4ab}{ab}=4$

Therefore expression

$=\frac{{{\left( a+b \right)}^{2}}-{{\left( a-b \right)}^{2}}}{ab}=\frac{4ab}{ab}=4$

Question 2 |

The simplified value of
$\sqrt{400}+\sqrt{0.04}-\sqrt{0.000004}$is

20.202 | |

20.22 | |

20.198 | |

22.818 |

Question 2 Explanation:

$\begin{align}
& =\sqrt{400}+\sqrt{0.04}-\sqrt{0.000004} \\
& =20+0.2-0.002 \\
& =20.198 \\
\end{align}$

Question 3 |

$1.\overline{4}\times 0.\overline{27}$ =

$0.\overline{14}$ | |

$0.0\overline{26}$ | |

$0.\overline{39}$ | |

$0.\overline{027}$ |

Question 3 Explanation:

\[\begin{align}
& =1.\overline{4}\times 0.\overline{27} \\
& =\frac{13}{9}\times \frac{27}{99}=\frac{39}{99} \\
& =0.\overline{39} \\
\end{align}\]

Question 4 |

$1440\times ?=1080$

$\frac{1}{4}$ | |

$\frac{3}{4}$ | |

$\frac{3}{5}$ | |

$\frac{2}{3}$ |

Question 4 Explanation:

$\begin{align}
& 1440\times ?=1080 \\
& \Rightarrow ?=\frac{1080}{1440}=\frac{3}{4} \\
\end{align}$

Question 5 |

50% of ? = 250

50 | |

5000 | |

500 | |

600 |

Question 5 Explanation:

50% of ? = 250

=> (50 x ?)/100 = 250

=> ? = (250 x 100)/50 = 500

=> (50 x ?)/100 = 250

=> ? = (250 x 100)/50 = 500

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