If n is a positive integer, which of the following is a possible value of |46 - 5n| ?
Options
A) 7 B) 2 C) 11 D) 15 E) 20
When 46&gt;5n, then |46- 5n| = 46- 5n = (45-5n) + 1 = {multiple of 5} + 1   When 46&lt;=5n, then |46- 5n| = -(46- 5n) = (5n-45) - 1 = {multiple of 5} - 1   So, the correct answer must be 1 greater or 1 less than a multiple of 5. Only C fits.   Answer: 11
<result>C</result>
If n is a positive integer, which of the following is a possible value of |46 - 5n| ?