Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$, what is the value of $(x^3+\frac{1}{x^3})$?

Option 1: $\frac{3\sqrt{3}}{5}$

Option 2: $\frac{3\sqrt{15}}{5}$

Option 3: $\frac{3\sqrt{15}}{8}$

Option 4: $\frac{3\sqrt{5}}{8}$

Question : $(1-\frac{1}{5})(1-\frac{1}{6})(1-\frac{1}{7}).......(1-\frac{1}{100})$ is equal to:

Option 1: $0$

Option 2: $\frac{1}{25}$

Option 3: $\frac{1}{100}$

Option 4: $\frac{1}{50}$

Question : What should be the value in place of (?) in $7 \frac{5}{8}+\frac{5}{8}$ of $184 × 15 ÷ 5 - (?) = 0$.

Option 1: $-352 \frac{5}{8}$

Option 2: $152 \frac{1}{8}$

Option 3: $-152 \frac{1}{8}$

Option 4: $352 \frac{5}{8}$

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 greatest fraction among $\frac{2}{3}, \frac{5}{6}, \frac{11}{15} \text{ and } \frac{7}{8} \text{ is:}$

Option 1: $\frac{7}{8}$

Option 2: $\frac{11}{15}$

Option 3: $\frac{5}{6}$

Option 4: $\frac{2}{3}$