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. What is the remainder when nm is divided by 9?
Choose one:
A) 4
B) 2
C) 3
D) 0
E) 1
n = 9x + 6   m = 12y + 4   nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24   Remainder of nm/9 = (108xy + 36x + 72y + 24)/9   Observe that the all four terms are a multiple of 9   hence nm is divisible by 9   Correct Option: 0
<result>D</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. What is the remainder when nm is divided by 9?