If n is a positive integer, which of the following is a possible value of |36 - 5n|? Choose the correct answer:  A) 7  B) 14  C) 12  D) 15  E) 20
When 36&gt;5n, then |36- 5n| = 71- 5n = (36-5n) + 1 = {multiple of 5} + 1   When 36&lt;=5n, then |36- 5n| = -(71- 5n) = (36-70) - 1 = {multiple of 5} - 1   So, the correct answer must be 1 greater or 1 less than a multiple of 5. Only B fits.   Answer: 14
<result>B</result>
If n is a positive integer, which of the following is a possible value of |36 - 5n|?