- 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 53

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Question 1 |

Rahul's monthly salary is one and a half times Harsh's monthly salary, Nikhil's monthly salary is five-fourth of Rahul's monthly salary. If the total of the monthly salaries of all the three is Rs.1.83,750. what is Nikhil's monthly salary?

Rs.42,000 | |

Rs.68,500 | |

Rs.78,750 | |

Rs.63,000 |

Question 1 Explanation:

$\begin{align}
& Let\,\,\,Harsh's\,\,\,monthly\,\,\,income\,\,be\,\,Rs.\,x. \\
& Rahul's\,\,\,monthly\,\,\,income\,\,=Rs.\,\frac{3x}{2} \\
& Nikhil's\,\,monthly\,\,\,income\,\,=Rs.\,\frac{15x}{8} \\
& Therefore\,\,x+\frac{3x}{2}+\frac{15x}{8}=183750 \\
& \Rightarrow \frac{8x+12x+15x}{8}=183750 \\
& \Rightarrow 35x=183750\times 8 \\
& \Rightarrow x=\frac{183750\times 8}{35}=42000 \\
& Therefore\,\,Nikhil's\,\,\,monthly\,\,\,\,income\, \\
& =Rs.\,\left( \frac{15}{8}\times 42000 \right) \\
& =Rs.78750 \\
\end{align}$

Question 2 |

$\left( 41\times 71+123\times 23+82\times 25 \right)$ is equal to

779000 | |

7090 | |

7790 | |

70900 |

Question 2 Explanation:

$\begin{align}
& =\left( 41\times 71+123\times 23+82\times 25 \right) \\
& =41\,\left( 71+3\times 23+2\times 25 \right) \\
& =41\,\left( 71+69+50 \right) \\
& =41\times 190=7790 \\
\end{align}$

Question 3 |

$\left( \frac{3.77\times 3.77\times 3.77-1.77\times 1.77\times 1.77}{3.77\times 3.77+3.77\times 1.77+1.77\times 1.77} \right)$ is equal to

−2 | |

0.2 | |

−0.2 | |

2 |

Question 3 Explanation:

Let 3.77 = a

And 1.77= b

Therefore expression

$\begin{align} & =\frac{{{a}^{3}}-{{b}^{3}}}{{{a}^{2}}+ab+{{b}^{2}}} \\ & =a-b=3.77-1.77=2.0 \\ \end{align}$

And 1.77= b

Therefore expression

$\begin{align} & =\frac{{{a}^{3}}-{{b}^{3}}}{{{a}^{2}}+ab+{{b}^{2}}} \\ & =a-b=3.77-1.77=2.0 \\ \end{align}$

Question 4 |

$5\frac{2}{71}\times 9\frac{12}{17}\times 12\frac{10}{11}+4\frac{3}{4}=?$

603.75 | |

635.75 | |

634.75 | |

605.75 |

Question 4 Explanation:

$\begin{align}
& ?=\frac{357}{71}\times \frac{165}{17}\times \frac{142}{11}+4.75 \\
& =630+4.75=634.75 \\
\end{align}$

Question 5 |

386 | |

312 | |

314 | |

320 |

Question 5 Explanation:

$\begin{align}
& 7512\times \frac{5}{38}\times \frac{95}{100}=?+619 \\
& \Rightarrow 939=?+619 \\
& \Rightarrow ?=939-619=320 \\
\end{align}$

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