Kyle received a bag of 82 marbles for his birthday. If he shares his marbles equally with his 5 best friends (including himself) how many more marbles will he have than his friends?
Select the correct option:
A) 1 marble	B) 2 marbles	C) 3 marbles	D) 4 marbles	E) 5 marbles
In order to divide the marbles into 6 parts, the amount must be divisible by 6.   Divisibility rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3   Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3   We need to make subtract an even this number even in order for it to be divisible by 2.   sum of digits of 82 = 10 and 6 is divisible by 3. Subtracting 4 yeilds an even number.   Hence we need to subtract 4 for the number to be divisible by 6.   Correct Option: 4 marbles
<result>D</result>
Kyle received a bag of 82 marbles for his birthday. If he shares his marbles equally with his 5 best friends (including himself) how many more marbles will he have than his friends?