Find the greatest number of four digits which when divided by 10, 11, 15, and 22 leaves 3, 4, 8 and 15 as remainders respectively.
9100
LCM of 10, 11, 15, 22 = 330
largest 4-digit number = 9999
Remainder when 9999/330 = 9900
to make it divisible by 330
9900-7 => 9893