Question

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

Answer 1

LCM of 4, 7, 13 is 364

9999 divide by 364 gives 171 as remainder

so, 9999 - 171 = 9828

9828 divide by 364 gives remainder as 0

so, 9831 divide by 364 gives remainder as 3

so, 9831 divided by 4, 7, 13 leaves a remainder as 3