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Previous Year Question (PYQs)
The integers 34041 and 32506, when divided by a 3 - digit integer n, leave the same remainder. What can be the value of n?
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Find the difference between both 34041 and 32506. 34041 - 32506 = 1535
So n should be a factor of 1535.
Factors of 1535:-
1, 5, 307, 1535
Here, 307 is a three digit factor of 1535. So n = 307
34041 and 32506 divided by 307 leaves remainder 271.
So 307 is the answer.
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