Sarah is thinking of a two-digit number. She provides four statements about it, and exactly three of the following four statements are true:
(1) It is a multiple of 12.
(2) It is odd.
(3) It is less than 40.
(4) The sum of its digits is 5.
This information is sufficient to uniquely determine the number. What is the units digit of Sarah's number?
0
3
5
8
9
