Fill in the blanks
Fill in the missing digit in units place so that the number is divisible by $2$ and $3$. $15383$

Q. Fill in the blanks
The smallest digit that can be put in the units place of $37842$, so that it is divisible by $6$ is _____.

Q. If the number 357y25x is divisible by both 3 and 5 then find the missing digit in the unit's place and the thousand place respectively are

Q. If $345A7$ is divisible by $3$, supply the missing digit in place of ${}^{\prime }{A}^{\prime }$

Q.

There is a 2 - D plane filled with 3 digit, 2 digit and single digit numbers. A, B and C are 3 digit numbers. The digit at the hundreds place is the head and the digit at units place is tail of the number. There are no mirrors in this plane. So, no number can see its own tail. A, B and C are good friends. Since, A can see B's and C's tail, it tells them that they both are divisible by 4. B and C tell A that it is divisible by 2. One day a 3D Mathematician comes and adds A, B and C to form a 4 digit number. This new number (A + B + C), must be divisible by:

Q. $x$ is a five digit number. The digit in the ten thousands' place is $1$. The number formed by its digits in units' and tens' place is divisible by $4$. The sum of the digits is divisible by $3$. If $5$ and $7$ also divide $x$, then the value of $x$ will be