 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 predefined schedule.
Basic Maths: Test 54
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Question 1 
${{\left( 2457\div 91 \right)}^{\frac{1}{3}}}+{{\left( \frac{12.5\times 100}{50} \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}}$
512  
64
 
256  
16 
Question 1 Explanation:
$\begin{align}
& {{\left( \frac{2457}{91} \right)}^{\frac{1}{3}}}+{{\left( 12.5\times 2 \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}} \\
& \Rightarrow {{\left( 27 \right)}^{\frac{1}{3}}}+{{\left( 25 \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}} \\
& \Rightarrow {{\left( {{3}^{3}} \right)}^{\frac{1}{3}}}+{{\left( {{5}^{2}} \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}} \\
& \Rightarrow 3+5={{\left( ? \right)}^{\frac{1}{3}}} \\
& \Rightarrow {{\left( ? \right)}^{\frac{1}{3}}}=8={{\left( {{8}^{3}} \right)}^{\frac{1}{3}}} \\
& \Rightarrow ?={{8}^{3}}=512 \\
\end{align}$
Question 2 
$\sqrt{{{12}^{2}}+32\div 2{{\left( 5 \right)}^{2}}+154}={{\left( ? \right)}^{2}}$
18  
$\sqrt{17}$  
289  
17

Question 2 Explanation:
$\begin{align}
& {{?}^{2}}=\sqrt{{{12}^{2}}+32\times \frac{1}{2}{{\left( 5 \right)}^{2}}+154} \\
& =\sqrt{144+1625+154} \\
& =\sqrt{289}=17 \\
& \Rightarrow ?=\sqrt{17} \\
\end{align}$
Question 3 
${{\left( 0.25 \right)}^{4}}\times {{\left( 0.125 \right)}^{4}}\div {{\left( 0.0625 \right)}^{4}}={{\left( 50\div 100 \right)}^{?+3}}$
3
 
1  
4  
7 
Question 3 Explanation:
$\begin{align}
& {{\left( {{\left( 0.5 \right)}^{2}} \right)}^{4}}\times {{\left( {{\left( 0.5 \right)}^{3}} \right)}^{4}}\div {{\left( {{\left( 0.5 \right)}^{4}} \right)}^{4}}={{\left( \frac{50}{100} \right)}^{?+3}} \\
& \Rightarrow {{0.5}^{8}}\times {{.5}^{12}}\div {{\left( 0.5 \right)}^{16}}={{\left( 0.5 \right)}^{?+3}} \\
& \Rightarrow {{\left( 0.5 \right)}^{8+1216}}={{\left( 0.5 \right)}^{?+3}}={{\left( 0.5 \right)}^{4}} \\
& \Rightarrow ?+3=4\, \\
& \Rightarrow ?=43=1 \\
\end{align}$
Question 4 
1/2
 
43/196  
196/43  
1 
Question 4 Explanation:
Question 5 
$\sqrt{\frac{0.049\times 0.576}{0.0036\times 7.84}}$ is equal to
1
 
1.1  
10  
1.11 
Question 5 Explanation:
$\begin{align}
& =\sqrt{\frac{0.049\times 0.576}{0.0036\times 7.84}} \\
& =\sqrt{\frac{49\times 576}{36\times 784}} \\
& =\frac{7\times 24}{6\times 28} \\
& =1 \\
\end{align}$
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