What is the remainder when 1274 * 1275 * 1277 *1285 is divided by 12?
Choose the most appropriate option.
A) 0	B) 6	C) 11	D) 9	E) 7

Rationale: "1271 * 1275 * 1277 * 1285 = ( 1272 - 2 ) ( 1272 + 3 ) ( 1284 - 7 ) ( 1284 + 1 ) = ( multiple of 12 - 1 ) ( multiple of 12 + 3 ) ( multiple of 12 - 7 ) ( multiple of 12 + 1 ) now , if we expand this expression all terms but the last one will have a multiple of 12 in them , thus will leave no remainder upon division by 12 , the last term will be ( - 2 ) ( 3 ) ( - 7 ) ( 1 ) = 42 . thus the question becomes : what is the remainder upon division of 42 by 12 ? the answer to this question is 6 . answer : b"
Answer: B