Question : Two numbers, when divided by a certain divisor, leave the remainder 57. When the sum of the two numbers is divided by the same divisor, the remainder is 49. The divisor is:

Question : A positive integer, when divided by 425, gives a remainder of 45. When the same number is divided by 17, the remainder will be:

Question : A number x, when divided by 289, leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is:

Question : A number when divided by 78 gives the quotient 280 and the remainder 0. If the same number is divided by 65, what will be the value of the remainder?

Question : Three numbers are such that their sum is 50, the product is 3750 and the sum of their reciprocals is $\frac{31}{150}$. Find the sum of the squares of the three numbers.