Question : If $\small c+\frac{1}{c}=3$, then the value of $\left (c-3 \right )^{7}+\frac{1}{c^{7}}$ is:

Option 1: 2

Option 2: 0

Option 3: 3

Option 4: 1

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 : If $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ and $a-b=10$, then the value of $ab$ is:

Option 1: $32 \frac{1}{7}$

Option 2: $32 \frac{3}{7}$

Option 3: $32 \frac{4}{7}$

Option 4: $32 \frac{2}{7}$

Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:

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

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

Option 3: $1 \frac{4}{7}$

Option 4: $2 \frac{3}{7}$

Question : If $\frac{x}{3}+\frac{3}{x}=1$, then the value of $x^3$ is:

Option 1: 1

Option 2: 27

Option 3: 0

Option 4: –27