 This is an assessment test.
 These tests focus on the basics of Maths and are meant to indicate your preparation level for the subject.
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Basic Maths: Test 8
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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 61029=83\times \left( 127 \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 61029=83\times \left( 127 \right)\\\sqrt{p}+196\times 31029=83\times 5\\\sqrt{p}+5881029=415\\\sqrt{p}=1029415588\\\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)}^{27.314+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=60.131.9=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}=341.2p\\\Rightarrow \text{234}\text{.4}=341.2p\\\Rightarrow p=341.2234.4=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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