Question : What is the value of $\frac{\frac{5}{3} \text { of } \frac{1}{4} \times \frac{24}{5}-\frac{1}{5} \text { of } \frac{25}{8} \times \frac{24}{5}}{\frac{5}{12} \text { of } \frac{3}{4} \times \frac{4}{3}+\frac{3}{4} \text { of } \frac{12}{5} \times \frac{5}{6}}$?
Option 1: $-\frac{24}{23}$
Option 2: $-\frac{12}{23}$
Option 3: $-\frac{25}{46}$
Option 4: $-\frac{28}{23}$
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Correct Answer: $-\frac{12}{23}$
Solution : $\frac{\frac{5}{3} \text { of } \frac{1}{4} \times \frac{24}{5}-\frac{1}{5} \text { of } \frac{25}{8} \times \frac{24}{5}}{\frac{5}{12} \text { of } \frac{3}{4} \times \frac{4}{3}+\frac{3}{4} \text { of } \frac{12}{5} \times \frac{5}{6}}$ $=\frac{\frac{5}{12}\times\frac{24}{5}-\frac{25}{40}\times\frac{24}{5}}{\frac{15}{48}\times\frac{4}{3}+\frac{36}{20}\times \frac{5}{6}}$ $=\frac{2-3}{\frac{5}{12}+\frac{3}{2}}$ $=\frac{-1}{\frac{5+18}{12}}$ $=\frac{-12}{23}$ Hence, the correct answer is $\frac{-12}{23}$.
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Question : What is the value of $\frac{\frac{5}{6} \text { of } \frac{1}{3} \times \frac{12}{25}-\frac{1}{3} \text { of } \frac{5}{6} \times \frac{18}{25}}{\frac{25}{12} \text { of } \frac{1}{6} \times \frac{2}{5}+\frac{3}{8} \text { of } \frac{12}{25} \times \frac{5}{6}}$?
Option 1: $-\frac{3}{13}$
Option 2: $-\frac{5}{13}$
Option 3: $-\frac{8}{25}$
Option 4: $-\frac{3}{25}$
Question : What is the value of $\frac{\frac{5}{12} \text { of } \frac{6}{25}-\frac{5}{6} \times \frac{12}{33}+\frac{5}{11} \div \frac{25}{33}}{\frac{1}{6} \div \frac{1}{2}+\frac{1}{6} \times \frac{1}{2}-\frac{1}{2} \text { of } \frac{1}{6}}$?
Option 1: $\frac{131}{110}$
Option 2: $\frac{125}{117}$
Option 3: $\frac{121}{112}$
Option 4: $\frac{133}{115}$
Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:
Option 1: $1 \frac{3}{5}$
Option 2: $2 \frac{2}{3}$
Option 3: $1 \frac{4}{7}$
Option 4: $2 \frac{3}{7}$
Question : What is the value of $\frac{7 \text { of } 14 ÷ 4}{5 × 4 ÷ 2}+\frac{6 ÷ 12 × 3}{5 ÷ 25 × 2}+\frac{15 ÷ 5 × 6}{5× 15 ÷ 6}$?
Option 1: 7.44
Option 2: 7.64
Option 3: 7.62
Option 4: 7.22
Question : Find the value of the given expression: $\frac{(4\frac{1}{3}+3\frac{1}{3}\times 1\frac{4}{5}\div 3\frac{3}{4}\times (1\frac{1}{2}+1\frac{1}{3}))}{(\frac{2}{3}\div \frac{5}{6}\times \frac{2}{3})}$
Option 1: $11 \frac{3}{8}$
Option 2: $10\frac{1}{8}$
Option 3: $14\frac{3}{8}$
Option 4: $16\frac{5}{8}$
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