A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over.
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 will be the remainder when nm is divided by 6?
Answer/Solution
0
Steps/Work
n = 9x + 6
m = 12y + 4
nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24
Remainder of nm/6 = (108xy + 36x + 72y + 24)/6
Observe that the first three terms are a multiple of 6
hence there will be no remainder
Correct Option: C
m = 12y + 4
nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24
Remainder of nm/6 = (108xy + 36x + 72y + 24)/6
Observe that the first three terms are a multiple of 6
hence there will be no remainder
Correct Option: C