Question : Find $\frac{0.04}{0.03}\text{of}\frac{( 3\frac{1}{3} – 2\frac{1}{2} ) ÷ \frac{1}{2} \space \text{of} \space 1\frac{1}{4} }{\frac{1}{3} + \frac{1}{5} \space \text{of} \space \frac{1}{9}}$.
Option 1: $1$
Option 2: $5$
Option 3: $\frac{1}{5}$
Option 4: $\frac{1}{2}$
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Correct Answer: $5$
Solution : Given: $\frac{0.04}{0.03}\text{of}\frac{( 3\frac{1}{3}– 2\frac{1}{2}) \space ÷ \space \frac{1}{2} \space \text{of} \space 1\frac{1}{4} }{\frac{1}{3} + \frac{1}{5} \space \text{of} \space \frac{1}{9}}$ = $\frac{4}{3}\text{of}\frac{( \frac{10}{3} – \frac{5}{2}) ÷ (\frac{1}{2} × \frac{5}{4})}{\frac{1}{3} + \frac{1}{5} × \frac{1}{9}}$ = $\frac{4}{3}\text{of}\frac{( \frac{20 – 15}{6}) ÷ (\frac{1}{2} × \frac{5}{4} )}{\frac{1}{3}+ \frac{1}{5} × \frac{1}{9}}$ = $\frac{4}{3}\text{of}\frac{\frac{5}{6} ÷ \frac{5}{8}}{\frac{1}{3} + \frac{1}{45}}$ = $\frac{4}{3}\text{of}\frac{\frac{5}{6}×\frac{8}{5}}{\frac{15 + 1}{45}}$ = $\frac{4}{3}\text{of}\frac{\frac{8}{6}}{\frac{16}{45}}$ = $\frac{4}{3}$×$\frac{8}{6}$×$\frac{45}{16}$ = $5$ Hence, the correct answer is $5$.
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Question : Find the value of $\frac{\frac{1}{3} + \frac{1}{4}[\frac{2}{5}-\frac{1}{2}]}{1\frac{2}{3} \text{of} \frac{3}{4}-\frac{3}{4} \text{of} \frac{4}{5}}$.
Option 1: $\frac{37}{78}$
Option 2: $\frac{37}{13}$
Option 3: $\frac{74}{78}$
Option 4: $\frac{74}{13}$
Question : What is the value of $\frac{43 \times 2–21\ \text {of}\ 4}{28–7\ \text {of}\ 5+9}$?
Option 1: 3
Option 2: 2
Option 3: 4
Option 4: 1
Question : What is the value of $\frac{91+13 \text { of }(45 ÷ 21 × 14 ÷ 5) - 22 × 4}{(42 × 21 ÷ 168 × 2) - (66 \text { of } 15 ÷ 90)}$?
Option 1: – 172
Option 2: – 81
Option 3: –162
Option 4: –144
Question : The value of 44 + 67 – 32 ÷ 4 + (9 + 5 + 5 + 4) – 4 × 12 ÷ 6 – 30 ÷ 5 is:
Option 1: 121
Option 2: 120
Option 3: 112
Option 4: 123
Question : What is the value of 0.0045 ÷ 4.5 × 100 – 45 ÷ 5?
Option 1: – 8.9
Option 2: – 9
Option 3: – 8.1
Option 4: – 9.9
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