MCA NIMCET Remainder Previous Year Question Paper and Solution with PDF

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The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

Required number

= H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

The integers 34041 and 32506, when divided by a 3 - digit integer n, leave the same remainder. What can be the value of n?

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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