Is $149$ a prime number? Write Yes/No.

What least value should be given to $*$ so that the number $591*26$ is divisible by $9$?

What least value should be given to $*$ so that the number $653*47$ is divisible by $11$?

On dividing a number by $67$, the quotient is $53$ and the remainder is $9$. Find the number.

What least number should be subtracted from $12031$ to get a number exactly divisible by $57$?

Find the $\mathrm{HCF}$ of the largest $4$-digit number and the smallest $3$-digit number.