$[(3^{2})^{6}]^{5} = 9^{?}$

If the sum of two numbers is multiplied by each number separately,the products so obtained are $247$ and $114$. The sum of the numbers is

The price of commodity $X$ increases by $40 \text{ paise}$ every year,while the price of commodity $Y$ increases by $15 \text{ paise}$ every year. If in $2001$,the price of commodity $X$ was $Rs. 4.20$ and that of $Y$ was $Rs. 6.30$,in which year will commodity $X$ cost $40 \text{ paise}$ more than commodity $Y$?

Two numbers,when divided by a certain divisor,leave remainders $43$ and $37$ respectively. When their sum is divided by the same divisor,the remainder is $13$. Find the divisor.

$\frac{753 \times 753 + 247 \times 247 - 753 \times 247}{753 \times 753 \times 753 + 247 \times 247 \times 247} = ?$

The product of two numbers is $45$ and the sum of their squares is $106$. The numbers are