Write the smallest digit and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by $3$:

$4765$_____$2$

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by $11.$

$92\_389$

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by $11.$

$8\_9484$

Here are two different factor trees for $60.$ Write the missing numbers.

Here are two different factor trees for $60.$ Write the missing numbers.

HCF of co-prime numbers $4$ and $15$ was found as follows by factorization:

$4=2\times 2$ and $15=3\times 5$ since there is no common prime factor, so HCF of $4$ and $15$ is $0$. Is the answer correct? If not, what is the correct HCF?

The number of distinct prime factors of the smallest $5$-digit number is: