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• 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%%
 Question 1
$\displaystyle 8\sqrt{?}\div 14\times 3+9=29$
What is the value of P
 A 7 B 49 C 64 D 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
 A 676 B 567 C 26 D 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
 A 64.1 B 41.9 C 28.2 D 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
 A 76.28 B 49.53 C 82.99 D 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
 A 2.77 B 2.56 C 3.14 D 2.17
Question 5 Explanation:
$\displaystyle p=\frac{504.14}{14\times 13}=2.77$
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