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:

Question : Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as the remainder in each case.

Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?

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