$A$ number $N$ is a positive three-digit number. If $x$ is in its hundred's place and $y$ is in its unit's place,then the number $N - 100x - y$ is always divisible by

In a division sum,the divisor is $4$ times the quotient and twice the remainder. If $a$ and $b$ are respectively the divisor and the dividend,then

$6 - \left[ \frac{5}{6} + \left\{ 3 \frac{7}{8} - 2 \frac{1}{3} + 1 \frac{7}{9} \right\} \right] = ?$

For what value of $M$,is $34M$ divisible by $12$?

The sum of the squares of two consecutive even numbers is $6500.$ Which is the smaller number?

The difference between a two-digit number and the number obtained by interchanging the digits is $36$. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is $1:2$?