If n is a positive integer, which one of the following numbers must have a remainder of 2 when
divided by any of the numbers 4, 5, and 6?
Choose the correct choice from the following answers:
A) 12n + 2
B) 24n + 2
C) 80n + 2
D) 90n + 2
E) 120n + 2
The numbers 4, 5, and 6 all divide 120 so they all divide 120n.   When we divide (120n + 2) by 4, 5, or 6, the remainder must be 2.   The answer is 120n + 2.
<result>E</result>
If n is a positive integer, which one of the following numbers must have a remainder of 2 when
divided by any of the numbers 4, 5, and 6?