Question : Simplify $\frac{36 a^2-49 b^2}{6 a+7 b}$.

Option 1: $7b - 6a$

Option 2: $6a + 7b$

Option 3: $6a - 7b$

Option 4: $\frac{1}{6a-7b}$

Question : Simplify: $\sqrt{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}+\frac{2}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}$

Option 1: $1$

Option 2: $4$

Option 3: $\sqrt{\frac{159}{130}}$

Option 4: $2$

Question : What is the value of $x$?
$\frac{3}{2}× \frac{7}{3} ÷ \frac{7}{6}+\frac{1}{4}=\frac{1}{x}$

Option 1: $\frac{7}{12}$

Option 2: $\frac{4}{13}$

Option 3: $\frac{13}{4}$

Option 4: $\frac{6}{7}$

Question : The value of $3\frac{1}{2} - [2\frac{1}{4}+ 1\frac{1}{4} - \frac{1}{2}(1\frac{1}{2}-\frac{1}{3} -\frac{1}{6})]$ is:

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

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

Option 3: $3\frac{1}{2}$

Option 4: $9\frac{1}{2}$

Question : If $\frac{a}{b}=\frac{25}{6}$, then the value of $\frac{a^{2}-b^{2}}{a^{2}+b^{2}}$ is:

Option 1: $\frac{589}{661}$

Option 2: $\frac{661}{589}$

Option 3: $\frac{625}{36}$

Option 4: $\frac{589}{651}$

Question : The value of exponential form of $\sqrt{\sqrt{2}\sqrt{3}}$ is:

Option 1: $6$

Option 2: $6^{\frac{1}{2}}$

Option 3: $6^{-\frac{1}{2}}$

Option 4: $6^{\frac{1}{4}}$