Question : What is the value of $\frac{343}{49} \times \frac{45}{9}$ of $\frac{27}{15} \times \frac{256}{64}$?
Option 1: 252
Option 2: 262
Option 3: 142
Option 4: 192
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Correct Answer: 252
Solution : $\frac{343}{49} \times \frac{45}{9}$ of $\frac{27}{15} \times \frac{256}{64}$ $=\frac{343}{49} \times 9 \times \frac{256}{64}$ $=7\times 9\times 4$ $=252$ Hence, the correct answer is 252.
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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 $\frac{49}{8} \times \frac{2}{3} \div \frac{98}{16} \times \frac{12}{4}$?
Option 1: 7
Option 2: 2
Option 3: 1
Option 4: 9
Question : What is the value of $\frac{1}{7} \times \frac{1}{8} \div \frac{72}{51}$ of $(\frac{1}{9}+\frac{1}{8})+(\frac{63}{56} \times \frac{48}{72})$?
Option 1: $\frac{21}{56}$
Option 2: $\frac{19}{56}$
Option 3: $\frac{45}{56}$
Option 4: $\frac{15}{56}$
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 : Simplify $\sqrt{3\tfrac{33}{64}}+\sqrt{9\tfrac{1}{7}} × 2\sqrt{3\tfrac{1}{9}}$
Option 1: $\frac{45}{256}$
Option 2: $1\tfrac{17}{28}$
Option 3: $4\tfrac{3}{8}$
Option 4: $2\tfrac{3}{16}$
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