Q: If n is an integer, then the least possible value of |33 - 5n| is?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4 Let's give some random thoughts before answering.
|33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2.
Therefore, the answer is (C).