$2 \times 256 \times ? = 8^{2} \times 10^{2} \times 2$

The numerator and denominator of a fraction are in the ratio of $2:3$. If $6$ is subtracted from the numerator,the result is a fraction that has a value $\frac{2}{3}$ of the original fraction. The numerator of the original fraction is

$7372 \times 7372 + 7372 \times 628 = ?$

$A$ number when divided by $361$ gives a remainder $47$. If the same number is divided by $19$,the remainder obtained is

If a six-digit number $53a29b$ is divisible by $88$,then find the value of $a$ and $b$.

$N$ is the largest two-digit number which,when divided by $3, 4,$ and $6,$ leaves the remainders $1, 2,$ and $4$ respectively. What is the remainder when $N$ is divided by $5$?