CAT 2000 Question Paper Question 140

Question 140

The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?

Solution

The difference of the numbers = 34041 - 32506 = 1535

The number that divides both these numbers must be a factor of 1535.

307 is the only 3 digit integer that divides 1535.

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