- 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 8

Congratulations - you have completed

*Basic Maths: Test 8*. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

$\displaystyle 8\sqrt{?}\div 14\times 3+9=29$

What is the value of P

What is the value of P

7 | |

49 | |

64 | |

None of these |

Question 1 Explanation:

$ \displaystyle \begin{array}{l}Let\,\,\,?\,=p\\8\sqrt{p}\div 14\times 3+9=29\\\frac{24\sqrt{p}}{14}+9=29\\\frac{24\sqrt{p}}{14}=20\\24\sqrt{p}=280\\p=1225/9=136.11\end{array}$

Question 2 |

$ \displaystyle \sqrt{p}+{{\left( 14 \right)}^{2}}\times 18\div 6-1029=-83\times \left( 12-7 \right)$

What is the value of P

What is the value of P

676 | |

567 | |

26 | |

24 |

Question 2 Explanation:

$ \displaystyle \begin{array}{l}\sqrt{p}+{{\left( 14 \right)}^{2}}\times 18\div 6-1029=-83\times \left( 12-7 \right)\\\sqrt{p}+196\times 3-1029=-83\times 5\\\sqrt{p}+588-1029=-415\\\sqrt{p}=1029-415-588\\\sqrt{p}=26\\\therefore \,\,p=676\end{array}$

Question 3 |

$ \displaystyle {{83}^{27.3}}\div {{83}^{14}}\times {{83}^{46.8}}={{83}^{31.9+p}}$

What is the value of P

What is the value of P

64.1 | |

41.9 | |

28.2 | |

39.1 |

Question 3 Explanation:

$ \displaystyle \begin{array}{l}{{\left( 83 \right)}^{27.3}}\div {{\left( 83 \right)}^{14}}\times {{\left( 83 \right)}^{46.8}}={{\left( 83 \right)}^{31.9+p}}\\\Rightarrow {{\left( 83 \right)}^{27.3-14+46.8}}={{\left( 83 \right)}^{31.9+p}}\\\Rightarrow {{\left( 83 \right)}^{60.1}}={{\left( 83 \right)}^{31.9+p}}\\\Rightarrow p+31.9=60.1\\\Rightarrow p=60.1-31.9=28.2\end{array}$

Question 4 |

40% of 586 = 341.2 -p

What is the value of P

What is the value of P

76.28 | |

49.53 | |

82.99 | |

none |

Question 4 Explanation:

$ \displaystyle \begin{array}{l}\frac{586\times 40}{100}=341.2-p\\\Rightarrow \text{234}\text{.4}=341.2-p\\\Rightarrow p=341.2-234.4=106.8\end{array}$

Question 5 |

$ \displaystyle \left( 504.14\div 14 \right)\div 13=p$

What is the value of P

What is the value of P

2.77 | |

2.56 | |

3.14 | |

2.17 |

Question 5 Explanation:

$ \displaystyle p=\frac{504.14}{14\times 13}=2.77$

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