Question : A number, when divided by 6, leaves a remainder of 3. When the square of the same number is divided by 6, the remainder is:

Question : A number when divided by 221, leaves a remainder of 30. If the same number is divided by 13, the remainder will be:

Question : A number $n$ when divided by 6, leaves a remainder of 3. What will be the remainder when $\left(n^2+5 n+8\right)$ is divided by 6?

Question : M is the largest 4-digit number which, when divided by 4, 5, 6, and 7, leaves the remainder as 2, 3, 4, and 5, respectively. What will be the remainder when M is divided by 9?

Question : Find the least number which when divided by 12, 18, 24, and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.