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 correct answer: A) 125n + 1 B) 240n + 1 C) 275n + 1 D) 290n + 1 E) 320n + 1
The numbers 4, 5, and 6 all divide 240 so they all divide 240n.   When we divide (240n + 1) by 4, 5, or 6, the remainder must be 1.   The answer is 240n + 1.
<result>B</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?