A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when nm is divided by 12?  Choose the correct choice from the following.
A) 4  B) 3  C) 2  D) 1  E) 0
n = 9x + 6   m = 12y + 4   nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24   Remainder of nm/12 = (108xy + 36x + 72y + 24)/12   Observe that the all four terms are a multiple of 12   Hence mn/12 will have no remainder   Correct Option: 0
<result>E</result>
A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when nm is divided by 12?