Question : What is the value of $\frac{1}{2}$ of $\frac{16}{5}+\frac{1}{8}$ of $\frac{24}{9} \times \frac{18}{12}-\frac{5}{8}$?
Option 1: $\frac{51}{40}$
Option 2: $\frac{68}{39}$
Option 3: $\frac{59}{40}$
Option 4: $\frac{61}{50}$
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Correct Answer: $\frac{59}{40}$
Solution : Given: $\frac{1}{2}$ of $\frac{16}{5}+\frac{1}{8}$ of $\frac{24}{9} \times \frac{18}{12}-\frac{5}{8}$ = $\frac{8}{5}+\frac{1}{3}\times \frac{3}{2}-\frac{5}{8}$ = $\frac{8}{5}+\frac{1}{2}-\frac{5}{8}$ = $\frac{8}{5}+\frac{4-5}{8}$ = $\frac{8}{5}-\frac{1}{8}$ = $\frac{64-5}{40}$ = $\frac{59}{40}$ Hence, the correct answer is $\frac{59}{40}$.
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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 : If $A=\frac{2}{3} \div \frac{4}{9}, B=\frac{6}{11} \times\frac{33}{12}$ and $C=\frac{1}{3} \times \frac{9}{2}$, then what is the value of $A \times B-C$?
Option 1: $\frac{3}{8}$
Option 2: $\frac{3}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{3}{16}$
Question : What is the value of $\frac{156}{13} \times \frac{147}{24} \times \frac{8}{49}$ of $\frac{24}{144}?$
Option 1: 18
Option 3: 12
Option 4: 6
Question : What is the value of $\frac{\left[\left(\frac{5}{7} \text { of } \frac{1}{12} \times \frac{1}{4}-\frac{1}{2} \times \frac{1}{8}\right)+\frac{5}{4} \times \frac{8}{15}-\frac{2}{3}\right]}{\frac{1}{2} \div \frac{1}{4}+\frac{1}{2}}$ ?
Option 1: $\frac{-5}{108}$
Option 2: $\frac{-4}{103}$
Option 3: $\frac{-4}{105}$
Option 4: $\frac{-2}{105}$
Question : The value of $14 \frac{4}{9}+16 \frac{5}{27}+2 \frac{5}{54}$ is:
Option 1: $32 \frac{17}{18}$
Option 2: $32 \frac{13}{18}$
Option 3: $31 \frac{13}{18}$
Option 4: $32 \frac{11}{18}$
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