Question : The square root of $\left(\frac{1}{4}\right) \times\left(\frac{1}{9}\right) \times\left(\frac{1}{25}\right) \times\left(\frac{1}{49}\right) \div\left(\frac{36}{121}\right)$ is:
Option 1: $\frac{11}{1260}$
Option 2: $\frac{1260}{11}$
Option 3: $\frac{11}{12.60}$
Option 4: $\frac{1}{1260}$
Correct Answer: $\frac{11}{1260}$
Solution : $\sqrt{\left(\frac{1}{4}\right) \times\left(\frac{1}{9}\right) \times\left(\frac{1}{25}\right) \times\left(\frac{1}{49}\right) \div\left(\frac{36}{121}\right)}$ = $\sqrt{\left(\frac{1}{4}\right) \times\left(\frac{1}{9}\right) \times\left(\frac{1}{25}\right) \times\left(\frac{1}{49}\right) \times \left(\frac{121}{36}\right)}$ = $\left(\frac{1}{2}\right) \times\left(\frac{1}{3}\right) \times\left(\frac{1}{5}\right) \times\left(\frac{1}{7}\right) \times\left(\frac{11}{6}\right)$ = $\frac{11}{1260}$ Hence, the correct answer is $\frac{11}{1260}$.
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Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}+\left(2 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
Option 1: $\frac{7}{2}$
Option 2: $3$
Option 3: $5$
Option 4: $\frac{9}{4}$
Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}-\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
Option 1: $\frac{15}{28}$
Option 2: $-2$
Option 3: $\frac{35}{24}$
Option 4: $0$
Question : A student was asked to find the value of $\left[(\frac{4}{9} \div \frac{3}{5} \div \frac{3}{2}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ His answer was $\frac{2}{9}$. What is the difference between his answer and the correct answer?
Option 1: $\frac{1}{12}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{24}$
Option 4: $\frac{1}{6}$
Question : The value of $\left[1 \frac{2}{7} \times\left\{3 \frac{1}{2} \div\left(\frac{1}{2}-\frac{1}{7}\right)\right\}\right] \div\left(4 \frac{1}{5} \times 1 \frac{1}{2}\right)$ is:
Option 1: $\frac{1}{3}$
Option 2: $\frac{3}{4}$
Option 3: $2$
Option 4: $1$
Question : The value of $1-3 \div 6$ of $2+\left(4 \div 4\right.$ of $\left.\frac{1}{4}\right) \div 8+\left(4 \times 8 \div \frac{1}{4}\right) \times \frac{1}{8}$ is:
Option 1: $\frac{69}{4}$
Option 2: $-\frac{69}{4}$
Option 3: $\frac{7}{4}$
Option 4: $-\frac{7}{4}$
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