What value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)
$10^{3} \times 100^{3} + 999999999 = 10^{?} + 10^{?}$

If $a = \sqrt{2} + 1$ and $b = \sqrt{2} - 1,$ then the value of $\frac{1}{a + 1} + \frac{1}{b + 1}$ will be

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 $Rs.$)

What will come in the place of the question mark $(?)$ in the following expression?
$59.88 \div 12.21 \times 6.35 = ?$

$1+1 \div\left\{1+1 \div\left(1-\frac{1}{3}\right)\right\}=?$

$12.1212 + 17.0005 - 9.1102 = ?$