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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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Solution

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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