The greatest 5 digit number when divided by 9, 8, 7 leaves remainders 6, 5, 4 respectively is
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Let the number that we are trying to find be “ N ”.
Now, N leaves remainders 6, 5 & 4 when divided by 9, 8 & 7 respectively.
Sum of the absolute values of the positive and the negative remainders is equal to the divisor.
If we express the remainders in terms of their negative counterparts, then we see that N leaves remainder (-3) when divided by 9, 8 & 7 respectively.
So, N=LCM(9,8,7)+(−3)=501 (Answer)
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