Problem in finding divisor.

[jaysinhp]

Question : "Which of the following represents the largest 4 digit number which can be added to 7249 in order to make the derived number by each of 12,14,21,33 and 54."

Given Options :
(a) 9123
(b) 9383
(c) 8727
(d) None of the above.

Reference Book : "Quantitative aptitude for the CAT by Arun Sharma fourth edition, page number 20,Chapter number : 1, Equation number : 16"

Here I am stuck : I found the LCM which is 27 x 4 x 7 x 11 = 8316. Now totally blank. Please help with proper explanation.

 

[jaysinhp]

Does that mean you're learning on your own; like, no teacher?

Yes. I am learning without teacher.