Which of the following represents the largest 4 digit number

Trying to find a simple approach for this one.
Let's see if this works

So we need it to be divisible by 12, 14, 21, 33 and 54. Note that these numbers have several primes in common. What is the largest prime that we have among all these. 11.

OK so we need to find out if the sum will be divisible by 11. First we can tell that 7249 is divisible by 11 because 7+4-2-9=0 which is a multiple of 11.
So we need another multiple of 11, so that the sum of both also throws a multiple of 11. Let's strat with the greatest number cause that's what wer are being asked.
9383 = 17-6 = 11. It is of course a multiple of 11 so option (B) then is the correct answer

Throw me some freaking Kudos!!
Cheers
J