Question : The value of $1 \frac{2}{5}-\left[3 \frac{3}{4} \div\left\{1 \frac{1}{4} \div \frac{1}{2}\left(1 \frac{1}{2} \times 3 \frac{1}{3} \div 1 \frac{1}{3}\right)\right\}\right]$ is:
Option 1: 3
Option 2: 0
Option 3: 2
Option 4: 1
Correct Answer: 1
Solution : Given: $1 \frac{2}{5}-\left[3 \frac{3}{4} \div\left\{1 \frac{1}{4} \div \frac{1}{2}\left(1 \frac{1}{2} \times 3 \frac{1}{3} \div 1 \frac{1}{3}\right)\right\}\right]$ $=\frac{7}{5}-[\frac{15}{4} \div{\{\frac{5}{4} \div \frac{1}{2}(\frac{3}{2} \times \frac{10}{3} \div \frac{4}{3})}\}]$ $=\frac{7}{5}-[\frac{15}{4} \div{\{\frac{5}{4} \div \frac{1}{2}(\frac{3}{2} \times \frac{10}{3} \times \frac{3}{4})}\}]$ $= \frac{7}{5}-[\frac{15}{4} \div{\{\frac{5}{4} \div \frac{1}{2}\times\frac{15}{4}}\}]$ $= \frac{7}{5}-[\frac{15}{4} \div{\{\frac{5}{2} × \frac{15}{4}}\}]$ $= \frac{7}{5}-[\frac{15}{4} \div\frac{75}{8}]$ $= \frac{7}{5}-\frac{2}{5}$ $= \frac{5}{5}$ $= 1$ Hence, the correct answer is 1.
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Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}-\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
Option 1: $\frac{15}{28}$
Option 2: $-2$
Option 3: $\frac{35}{24}$
Option 4: $0$
Question : 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 $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ 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 $\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)+\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}$ is:
Option 1: $\frac{35}{24}$
Option 2: $8$
Option 3: $\frac{15}{28}$
Option 4: $–2$
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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