Question : The value of $\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}$ is:
Option 1: 33
Option 2: 36
Option 3: 38
Option 4: 40
Correct Answer: 36
Solution : $\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}$ = $\frac{\frac{1 \frac{1}{2}}{3 \frac{1}{4}} + \frac{\frac{1}{2}}{\frac{13}{14}}+\frac{1}{5}}{\frac{1}{5} ×\ 3 \frac{1}{2} - \frac{\frac{1}{3}} {1\frac{3}{4}} \times 3 \frac{1}{2}}$ = $\frac{\frac{\frac{3}{2}}{\frac{13}{4}} +\frac{7}{13} + \frac{1}{5}}{\frac{1}{5} \times \frac{7}{2} - \frac{\frac{1}{3}} {\frac{7}{4}} \times \frac{7}{2}}$ = $\frac{\frac{6}{13} +\frac{7}{13} + \frac{1}{5}}{\frac{1}{5} \times \frac{7}{2} - \frac{4}{21} \times \frac{7}{2}}$ = $\frac{\frac{13}{13} + \frac{1}{5}}{ \frac{7}{10} - \frac{2}{3} }$ = $\frac{\frac{6}{5}}{ \frac{1}{30}}$ = $\frac{{6}×{30}}{{1}×{5}}$ = 36 Hence, the correct answer is 36
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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 : 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: $\frac{89}{4}$
Question : The value of $\frac{5-[2+3(2-2 \times 2+5)-5] \div 5}{4 \times 4 \div 4 \text { of }(4+4 \div 4 \text { of } 4)}$ is:
Option 1: $3 \frac{3}{16}$
Option 2: $4 \frac{3}{80}$
Option 3: $\frac{2}{5}$
Option 4: $7 \frac{3}{5}$
Question : $\frac{33}{5}×\frac{33}{5}\div 2×3\frac{3}{5}×\frac{2}{5} +\frac{2}{5}×\frac{2}{5}$ = ?
Option 1: 15
Option 2: 31.52
Option 3: 17
Option 4: 18
Question : The value of $\frac{2}{3} \div \frac{3}{10}$ of $\frac{4}{9}-\frac{4}{5} \times 1 \frac{1}{9} \div \frac{8}{15}+\frac{3}{4} \div \frac{1}{2}$ is:
Option 1: $\frac{29}{6}$
Option 2: $\frac{17}{9}$
Option 3: $\frac{14}{3}$
Option 4: $\frac{49}{12}$
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