Question : If $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$ and $B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$, then what is the value of $A + B$?
Option 1: $\frac{5}{3}$
Option 2: $2$
Option 3: $\frac{4}{3}$
Option 4: $\frac{2}{3}$
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Correct Answer: $\frac{5}{3}$
Solution : $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$ $=\frac{2}{3}+\frac{4}{7}\times\frac{14}{12}$ $=\frac{4}{3}$ $B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$ $=\frac{5}{12}\times\frac{7}{15} \times \frac{36}{21}$ $=\frac{1}{3}$ $⇒ A + B =\frac{4}{3}+\frac{1}{3}= \frac{5}{3}$ Hence, the correct answer is $\frac{5}{3}$.
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Question : What is the value of $\frac{17-8 \times 5+4 \times 3}{5 \times 3 \div 6+2 \times 4} ?$
Option 1: $\frac{-25}{21}$
Option 2: $\frac{-22}{21}$
Option 3: $\frac{-5}{6}$
Option 4: $\frac{-8}{7}$
Question : What is the value of $\frac{\left(\frac{28}{9} \times \frac{42}{35}\right) \div\left(\frac{3}{25} \times \frac{5}{7} \div \frac{1}{21}\right)}{\left(\frac{14}{15} \div \frac{2}{75} \text { of } \frac{7}{5}\right) \times \frac{1}{75} \div \frac{4}{3}} ?$
Option 1: $\frac{222}{27}$
Option 2: $\frac{212}{27}$
Option 3: $\frac{244}{27}$
Option 4: $\frac{224}{27}$
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 : What is the value of X? $X=\frac{7}{5}+\left\{\frac{1}{5}-\frac{1}{3}\right\} \times \frac{5}{2}$
Option 1: $\frac{16}{15}$
Option 2: $\frac{17}{15}$
Option 3: $\frac{15}{16}$
Option 4: $\frac{19}{15}$
Question : What is the value of $\frac{5}{12} \times \frac{7}{12} \div\left(\frac{1}{75}+\frac{5}{12}\right.$ of $\left.\frac{36}{25}\right)+\frac{4}{5} \times \frac{75}{16} ?$
Option 1: $\frac{8305}{1104}$
Option 2: $\frac{4675}{1104}$
Option 3: $\frac{2565}{2208}$
Option 4: $\frac{9155}{2208}$
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