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: $-\frac{3}{25}$
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Correct Answer: $-\frac{3}{13}$
Solution : Given: $\frac{\frac{5}{6} \text { of } \frac{1}{3} \times \frac{12}{25}-\frac{1}{3} \text { of } \frac{5}{6} \times \frac{18}{25}}{\frac{25}{12} \text { of } \frac{1}{6} \times \frac{2}{5}+\frac{3}{8} \text { of } \frac{12}{25} \times \frac{5}{6}}$ $=\frac{\frac{5}{18}\times \frac{12}{25}- \frac{5}{18} \times \frac{18}{25}}{\frac{25}{72} \times \frac{2}{5}+\frac{9}{50} \times \frac{5}{6}}$ $=\frac{\frac{2}{15}-\frac{1}{5}}{\frac{5}{36}+\frac{3}{20}}$ $=\frac{\frac{2-3}{15}}{\frac{25+27}{180}}$ $=\frac{-1}{15}\times \frac{180}{52}$ $=-\frac{3}{13}$ Hence, the correct answer is $-\frac{3}{13}$.
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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: $-\frac{28}{23}$
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 : What is the value of $\frac{15 \div 5 \times 3-12 \times 12 \div 6+15 \div 5 \times 6}{18 \div 3 \times 5-12 \div 6 \times 5+18 \div 9 \times 5} ?$
Option 1: $\frac{1}{20}$
Option 2: $\frac{1}{5}$
Option 3: $\frac{1}{15}$
Option 4: $\frac{1}{10}$
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
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