Question : The value of 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] is:
Option 1: $\frac{20}{23}$
Option 2: $\frac{5}{8}$
Option 3: $\frac{5}{7}$
Option 4: $\frac{20}{29}$
Correct Answer: $\frac{20}{29}$
Solution : Given: 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] = $5 ÷ [5+8-\{{4+((4 \times 2) ÷ 4)-(2 ÷ (4 \times 2))}\}]$ = $5 ÷ [5+8-\{{4+(8 ÷ 4)-(2 ÷ 8)}\}]$ = $5 ÷ [5+8-\{{4+\frac{8}{4}-\frac{2}{8}}\}]$ = $5 ÷ [5+8-\{{4+2-\frac{1}{4}}\}] $ = $5 ÷ [5+8-\{{6-\frac{1}{4}}\}]$ = $5 ÷ [13-\frac{23}{4}]$ = $5 ÷\frac{29}{4}$ = $5\times\frac{4}{29}$ = $\frac{20}{29}$ Hence, the correct answer is $\frac{20}{29}$.
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Question : The value of –7 ÷ [5 + 1 ÷ 2 – {4 + (4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:
Option 1: $-\frac{7}{2}$
Option 2: $–7$
Option 3: $\frac{7}{2}$
Option 4: $7$
Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:
Option 1: $7$
Option 2: $\frac{7}{2}$
Option 3: $-7$
Option 4: $-\frac{7}{2}$
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 $\frac{\left(1 \frac{1}{9} × 1 \frac{1}{20} ÷ \frac{21}{38}-\frac{1}{3}\right) ÷\left(2 \frac{4}{9} ÷ 1 \frac{7}{15} \text { of } \frac{3}{5}\right)}{\frac{1}{5} \text { of } \frac{1}{5} ÷ \frac{1}{125}-\frac{1}{25} ÷ \frac{1}{5} \text { of } \frac{1}{5}}$ lies between ____.
Option 1: 0.1 and 0.15
Option 2: 0.2 and 0.25
Option 3: 0.15 and 0.2
Option 4: 0.25 and 0.3
Question : The value of $6 \frac{8}{15}÷\frac{7}{9}$ of $\left(1 \frac{1}{10}+5 \frac{1}{5}\right)+\frac{2}{5}÷7 \frac{1}{5}$ is:
Option 1: $\frac{25}{16}$
Option 2: $\frac{5}{14}$
Option 3: $\frac{25}{18}$
Option 4: $\frac{5}{18}$
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