Find the largest 4 digit number which when divided by 4,7 and 13 leaves a remainder of 3 in each case

Dear student,

First find the LCM ( 4,7,13)  i.e  364  Largest 4 digit number = 9999  On dividng 9999 by 364 we get reaminder as 171  So 9999 - 171 = 9828 + 3 = 9831  Therefore 9831 is the number.

Regards

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