Question : What is the value of $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}$?
Option 1: $2\sqrt{6}$
Option 2: $4\sqrt{6}$
Option 3: $2$
Option 4: $4$
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Correct Answer: $2$
Solution : Given: $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}$ By factorising and simplifying this expression, $\frac{\sqrt{2\times2\times2\times 3} + \sqrt{2\times2\times2\times3\times3\times3}}{\sqrt{2\times2\times2\times2\times2\times3}}$ = $\frac{\sqrt{4\times6} + \sqrt{6\times36}}{\sqrt{6\times16}}$ = $\frac{2\sqrt{6} + 6\sqrt{6}}{4\sqrt{6}}$ = $\frac{(2+6)\sqrt{6}}{4\sqrt{6}}$ = $\frac{8\sqrt{6}}{4\sqrt{6}}$ = $\frac{8}{4}$ = $2$ Hence, the correct answer is $2$.
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Question : What is the value of $\frac{156}{13} \times \frac{147}{24} \times \frac{8}{49}$ of $\frac{24}{144}?$
Option 1: 18
Option 2: 2
Option 3: 12
Option 4: 6
Question : What is the value of $\left(\frac{21}{46} \div \frac{1}{6}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times \frac{7}{9} \div \frac{5}{36}\right)$ ?
Option 1: $\frac{-163}{28}$
Option 2: $\frac{-179}{30}$
Option 3: $\frac{11}{2}$
Option 4: $\frac{5}{2}$
Question : The value of $\frac{2}{3} \times \frac{6}{5} \times \frac{10}{4}+\frac{1}{8}-\frac{3}{8}$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{4}$
Option 3: $\frac{4}{7}$
Option 4: $\frac{7}{4}$
Question : What is the value of $\frac{17-8 \times 5+4 \times 3}{5 \times 3 \div 6+2 \times 4} ?$
Option 1: $\frac{-25}{21}$
Option 2: $\frac{-22}{21}$
Option 3: $\frac{-5}{6}$
Option 4: $\frac{-8}{7}$
Question : What is the value of $\frac{11 \times 11-24 \times 6 ~of~ 2+12 \times 12}{4 \times 5+6 \times 2 \div 4}$ ?
Option 1: 1
Option 2: –1
Option 3: 2
Option 4: –2
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