The sum and product of two numbers are $12$ and $35$ respectively. The sum of their reciprocals will be

If the two digits of the age of Mr. Manoj are reversed,then the new age so obtained is the age of his wife. $\frac{1}{11}$ of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is older than his wife,then find the difference between their ages.

If the number $481*673$ is completely divisible by $9$,then the smallest whole number in place of $*$ will be

If $m$ and $n$ are positive integers and $(m-n)$ is an even number,then $(m^{2}-n^{2})$ will be always divisible by

$(2 \sqrt{392} - 21) + (\sqrt{8} - 7)^{2} = (?)^{2}$

$A$ number,when divided by $729$,leaves a remainder of $56$. What will be the remainder if the same number is divided by $27$?