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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 17

Congratulations - you have completed Basic Maths: Test 17. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
 Question 1
$\displaystyle \left[ 3\frac{1}{4}\div \left\{ 1\frac{1}{4}-\frac{1}{2}\left( 2\frac{1}{2}-\frac{1}{4}-\frac{1}{6} \right) \right\} \right]\,\div \left( \frac{1}{2}\,of\,4\frac{2}{3} \right)$
 A 18.76 B 36.89 C 33.42 D 78.54
Question 1 Explanation:
 Question 2
The value of $\displaystyle 8\div \left[ 1+1\div \{1+1\div \left( 1+1\div 2 \right)\} \right]$ is
 A $\displaystyle 1$ B $\displaystyle 5$ C $\displaystyle 2$ D $\displaystyle \frac{1}{2}$
Question 2 Explanation:
$\displaystyle \begin{array}{l}=8\div \left[ 1+1\div \left\{ 1+1\div \left( 1+1\div 2 \right) \right\} \right]\\=8\div \left[ 1+1\div \left\{ 1+1\div \left( 1+\frac{1}{2} \right) \right\} \right]\\=8\div \left[ 1+1\div \left\{ 1+1\div \frac{3}{2} \right\} \right]\\=8\div \left[ 1+1\div \left\{ 1+\frac{2}{3} \right\} \right]\\=8\div \left[ 1+1\div \frac{5}{3} \right]\\=8\div \left[ 1+\frac{3}{5} \right]\\=8\div \frac{8}{5}=5\end{array}$
 Question 3
The simplified value of
$\displaystyle \frac{\frac{1}{3}\div \frac{1}{3}\times \frac{1}{3}}{\frac{1}{3}\div \frac{1}{3}\,of\,\frac{1}{3}}-\frac{1}{3}$
 A $\displaystyle 0$ B $\displaystyle 1$ C $\displaystyle \frac{1}{3}$ D $\displaystyle -\frac{2}{9}$
Question 3 Explanation:
The given expression is
$\displaystyle \begin{array}{l}=\frac{\frac{1}{3}\div \frac{1}{3}\times \frac{1}{3}}{\frac{1}{3}\div \left( \frac{1}{3}\,\times \,\frac{1}{3} \right)}-\frac{1}{3}\\=\frac{\frac{1}{3}}{\frac{1}{3}\div \frac{1}{3}}-\frac{1}{3}\\=\frac{\frac{1}{3}}{\frac{1}{3}\times 9}-\frac{1}{3}\\=\frac{\frac{1}{3}}{3}-\frac{1}{3}\\=\frac{1}{9}-\frac{1}{3}=-2/9\end{array}$
 Question 4
Simplify
$\displaystyle \frac{2\frac{3}{4}}{1\frac{5}{6}}\div \frac{7}{8}\times \left( \frac{1}{3}+\frac{1}{4} \right)+\frac{5}{7}\div \frac{3}{4}\,\,of\,\frac{4}{7}$
 A $\displaystyle \frac{56}{77}$ B $\displaystyle \frac{49}{80}$ C $\displaystyle 2\frac{2}{3}$ D $\displaystyle 3\frac{2}{9}$
Question 4 Explanation:
The given expression $\displaystyle \begin{array}{l}\frac{\frac{11}{4}}{\frac{11}{6}}\div \frac{7}{8}\left( \frac{4+3}{12} \right)+\frac{5}{7}\div \frac{3}{4}\,\,of\,\,\frac{4}{7}\\=\left( \frac{11}{4}\times \frac{6}{11} \right)\div \frac{7}{8}\times \frac{7}{12}+\frac{5}{7}\div \left( \frac{3}{4}\times \frac{4}{7} \right)\\=\frac{3}{2}\div \frac{7}{8}\times \frac{7}{12}+\frac{5}{7}\div \frac{3}{7}\\=\frac{3}{2}\times \frac{8}{7}\times \frac{7}{12}+\frac{5}{7}\div \frac{3}{7}\\=1+\frac{5}{3}\\=\frac{8}{3}\\=2\frac{2}{3}\end{array}$
 Question 5
The value of <br>$\displaystyle \sqrt{4+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}}$ <br>is
 A $2\sqrt{2}$ B ${2}/{\sqrt{2}}\;$ C $7$ D $5$
Question 5 Explanation:
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