The value of $\frac{(2.3)^{3}-0.027}{(2.3)^{2}+0.69+0.09}$ is

If $a^{2}+b^{2}+\frac{1}{a^{2}}+\frac{1}{b^{2}}=4,$ then the value of $a^{2}+b^{2}$ will be

The sum of the first $20$ terms of the series $\frac{1}{5 \times 6} + \frac{1}{6 \times 7} + \frac{1}{7 \times 8} + \cdots$ is

What is the value of $\frac{(0.5)^{3}-(0.1)^{3}}{(0.5)^{2}+0.5 \times 0.1+(0.1)^{2}}?$

The value of $\left\{\frac{3 \sqrt{2}}{(\sqrt{3}+\sqrt{6})}-\frac{4 \sqrt{3}}{(\sqrt{6}+\sqrt{2})}+\frac{\sqrt{6}}{(\sqrt{2}+\sqrt{3})}\right\}$ is:

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 $Rs.$)