On dividing a number by $56$,we get $29$ as remainder. On dividing the same number by $8$,what will be the remainder?

$24$ is divided into two parts such that $7$ times the first part added to $5$ times the second part makes $146$. The first part is

$2^{16}-1$ is divisible by

The least positive integer that should be subtracted from $3011 \times 3012$ so that the difference is a perfect square,is

In a division sum, the divisor is $10$ times the quotient and $5$ times the remainder. What is the dividend, if the remainder is $46$?

Sum of three numbers is $132$. The first number is twice the second,and the third number is one-third of the first. Find the second number.