Question : Simplify the following. $9 \times 2 \div 3\ \text{of} \ 24 - 3 \div 2 \times (6 - 7) \times 2 + 3 \div 3\ \text{of}\ 5$
Option 1: 3
Option 2: $\frac{9}{20}$
Option 3: 4
Option 4: $\frac{69}{20}$
Correct Answer: $\frac{69}{20}$
Solution : $9 \times 2 \div 3\ \text{of} \ 24- 3 \div 2 \times (6 - 7) \times 2 + 3 \div 3\ \text{of}\ 5$ $=9 \times 2 \div 3\ \text{of} \ 24 - 3 \div 2 \times- 1 \times 2 + 3 \div 3\ \text{of}\ 5$ $=9 \times 2 \div 72 - 3 \div 2 \times -1 \times 2 + 3 \div 15$ $=9 \times \frac{1}{36} – \frac{3}{2} \times– 1 \times 2 + \frac{1}{5}$ $=\frac{1}{4} +3 + \frac{1}{5}$ $=\frac{5+60+4}{20}$ $=\frac{69}{20}$ Hence, the correct answer is $\frac{69}{20}$.
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Question : Simplify the following. $81^{\frac{3}{4}}+[(20 \div 5 \text { of } 3 \times 6)+\{(8 \div 24 \text { of } 3) \times 4\}-10 \div 5]-\left(\frac{1}{32}\right)^{-\frac{2}{5}}$
Option 1: $24 \frac{1}{4}$
Option 2: $21 \frac{1}{9}$
Option 3: $27 \frac{4}{5}$
Option 4: $29 \frac{4}{9}$
Question : What is the positive value of the following expression? $\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]}$
Option 1: $1 \frac{5}{6}$
Option 2: $1 \frac{1}{5}$
Option 3: $2 \frac{4}{5}$
Option 4: $2 \frac{3}{5}$
Question : A student was asked to find the value of $\left[(\frac{4}{9} \div \frac{3}{5} \div \frac{3}{2}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ His answer was $\frac{2}{9}$. What is the difference between his answer and the correct answer?
Option 1: $\frac{1}{12}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{24}$
Option 4: $\frac{1}{6}$
Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:
Option 1: $2 \frac{3}{20}$
Option 2: $1\frac{2}{20}$
Option 3: $1 \frac{3}{20}$
Option 4: $1 \frac{7}{20}$
Question : The value of $\frac{5-2 \div 4 \times[5-(3-4)]+5 \times 4 \div 2 \text { of } 4}{4+4 \div 8 \text { of } 2 \times(8-5) \times 2 \div 3-8 \div 2 \text { of } 8}$ is:
Option 1: $\frac{9}{8}$
Option 2: $\frac{9}{4}$
Option 3: $\frac{15}{32}$
Option 4: $\frac{89}{4}$
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