Question : What is the value of $\frac{196}{7} \div \frac{35}{12}$ of $\frac{132}{55} \times \frac{45}{20} ?$
Option 1: 45
Option 2: 36
Option 3: 4
Option 4: 9
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Correct Answer: 9
Solution : $\frac{196}{7} \div \frac{35}{12}$ of $\frac{132}{55} \times \frac{45}{20}$ $=\frac{196}{7} \div (\frac{35}{12} \times \frac{132}{55} )\times \frac{45}{20}$ $=\frac{196}{7} \div 7 \times \frac{45}{20}$ $=\frac{196}{7} \times \frac{1}{7} \times \frac{45}{20}$ $= \frac{45}{5}$ $= 9$ Hence, the correct answer is 9.
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Question : What is the value of $\frac{(45 \times 3 \div 27 \times 4)(81 \div 5 \times 85 \div 51)}{(108 \div 18 \times 7\div21)(133 \times 3 \div 38 \times 4)} ?$
Option 1: $\frac{46}{7}$
Option 2: $\frac{45}{7}$
Option 3: $\frac{54}{7}$
Option 4: $\frac{39}{7}$
Question : What is the value of $\frac{1}{7} \times \frac{1}{8} \div \frac{1}{4}+\frac{1}{3} \times \frac{1}{9}+\frac{1}{6} \div \frac{1}{12}$ of $\frac{3}{7}?$
Option 1: $\frac{1908}{378}$
Option 2: $\frac{1802}{405}$
Option 3: $\frac{1805}{378}$
Option 4: $\frac{1855}{378}$
Question : What is the value of $\frac{\left(\frac{28}{9} \times \frac{42}{35}\right) \div\left(\frac{3}{25} \times \frac{5}{7} \div \frac{1}{21}\right)}{\left(\frac{14}{15} \div \frac{2}{75} \text { of } \frac{7}{5}\right) \times \frac{1}{75} \div \frac{4}{3}} ?$
Option 1: $\frac{222}{27}$
Option 2: $\frac{212}{27}$
Option 3: $\frac{244}{27}$
Option 4: $\frac{224}{27}$
Question : What is the value of $\frac{7}{11} \div \frac{21}{33} \times \frac{5}{12}+\frac{10}{36} \times \frac{6}{11} \div \frac{18}{33}$?
Option 1: $\frac{29}{35}$
Option 2: $\frac{25}{36}$
Option 3: $\frac{28}{39}$
Option 4: $\frac{24}{41}$
Question : What is the value of $\frac{49}{8} \times \frac{2}{3} \div \frac{98}{16} \times \frac{12}{4}$?
Option 1: 7
Option 2: 2
Option 3: 1
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