Question : N is the largest two-digit number which, when divided by 3, 4, and 6, leaves the remainder of 1, 2, and 4, respectively. What is the remainder when N is divided by 5?

Question : The largest five-digit number which when divided by 7, 9, and 11, leaves the same remainder as 3 in each case, is:

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 : 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 : Let $x$ be the least number which, when divided by 5, 6, 7, and 8, leaves a remainder of 3 in each case, but when divided by 9, leaves no remainder. The sum of the digits of $x$ is: