Question : The value of $6 \frac{8}{15}÷\frac{7}{9}$ of $\left(1 \frac{1}{10}+5 \frac{1}{5}\right)+\frac{2}{5}÷7 \frac{1}{5}$ is:
Option 1: $\frac{25}{16}$
Option 2: $\frac{5}{14}$
Option 3: $\frac{25}{18}$
Option 4: $\frac{5}{18}$
Correct Answer: $\frac{25}{18}$
Solution : $6 \frac{8}{15}÷\frac{7}{9}$ of $\left(1 \frac{1}{10}+5 \frac{1}{5}\right)+\frac{2}{5}÷7 \frac{1}{5}$ = $\frac{98}{15}÷\frac{7}{9}$ of $\left( \frac{11}{10}+ \frac{26}{5}\right)+\frac{2}{5}÷\frac{36}{5}$ = $\frac{98}{15}÷(\frac{7}{9}\times\frac{63}{10})+\frac{2}{5}÷\frac{36}{5}$ = $\frac{98}{15}×\frac{10}{49}+\frac{2}{5}×\frac{5}{36}$ = $\frac{4}{3}+\frac{1}{18}$ = $\frac{25}{18}$ Hence, the correct answer is $\frac{25}{18}$.
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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 : Solve the following. $\frac{24 \div \frac{3}{8} \text { of }(8+2 \times \overline{7-3})+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div \overline{15-7}+75 \div(6+15 \div 3+4)} $
Option 1: $\frac{23}{27}$
Option 2: $\frac{9}{2}$
Option 3: $\frac{11}{18}$
Option 4: $\frac{15}{19}$
Question : The value of $\frac{\left(1 \frac{1}{9} × 1 \frac{1}{20} ÷ \frac{21}{38}-\frac{1}{3}\right) ÷\left(2 \frac{4}{9} ÷ 1 \frac{7}{15} \text { of } \frac{3}{5}\right)}{\frac{1}{5} \text { of } \frac{1}{5} ÷ \frac{1}{125}-\frac{1}{25} ÷ \frac{1}{5} \text { of } \frac{1}{5}}$ lies between ____.
Option 1: 0.1 and 0.15
Option 2: 0.2 and 0.25
Option 3: 0.15 and 0.2
Option 4: 0.25 and 0.3
Question : The value of $\frac{2}{3} \div \frac{3}{10}$ of $\frac{4}{9}-\frac{4}{5} \times 1 \frac{1}{9} \div \frac{8}{15}-\frac{3}{4}+\frac{3}{4} \div \frac{1}{2}$ is:
Option 1: $\frac{25}{6}$
Option 2: $\frac{14}{3}$
Option 3: $\frac{17}{9}$
Option 4: $\frac{49}{12}$
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