If n is a positive integer, which one of the following numbers must have a remainder of 1 when
divided by any of the numbers 4, 5, and 6?
Choose the most appropriate option.
A) 12n + 1	B) 24n + 1	C) 80n + 1	D) 90n + 1	E) 120n + 1
The numbers 4, 5, and 6 all divide 120 so they all divide 120n.   When we divide (120n + 1) by 4, 5, or 6, the remainder must be 1.   The answer is 120n + 1.
<result>E</result>
If n is a positive integer, which one of the following numbers must have a remainder of 1 when
divided by any of the numbers 4, 5, and 6?