If $x(3 - \frac{2}{x}) = \frac{3}{x}, x \neq 0,$ then the value of $x^2 + \frac{1}{x^2}$ is

The value of $\frac{2^{1 / 2} \cdot 3^{1 / 3} \cdot 4^{1 / 4}}{10^{-1 / 5} \cdot 5^{3 / 5}} \div \frac{3^{4 / 3} \cdot 5^{-7 / 5}}{4^{-3 / 5} \cdot 6}$ is

If $x^{2}+y^{2}+z^{2}+2=2(y-x)$,then the value of $x^{3}+y^{3}+z^{3}$ is equal to

When $52416$ is divided by $312,$ the quotient is $168.$ What will be the quotient when $52.416$ is divided by $0.0168?$

Seema bought $20$ pens,$8$ packets of wax colours,$6$ calculators,and $7$ pencil boxes. The price of a pen is $Rs. 7$,a packet of wax colour is $Rs. 22$,a calculator is $Rs. 175$,and a pencil box is $Rs. 14$ more than the combined price of one pen and one packet of wax colours. How much amount did Seema pay to the shopkeeper? (in $Rs.$)

The value of $(3+\sqrt{8})+\frac{1}{3-\sqrt{8}}-(6+4 \sqrt{2})$ is