Question

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

Answer 1

So LCM ( 4,7,13) = 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.