A test has ten questions. Points are awarded as follows:

- Each correct answer is worth 3 points.
- Each unanswered question is worth 1 point.
- Each incorrect answer is worth 0 points.

A total score that is not possible is
(A) 11
(B) 13
(C) 17
(D) 23
(E) 29
A score of 11 points can be obtained with 3 correct, 2 unanswered and 5 wrong. A score of 13 points can be obtained with 4 correct, 1 unanswered and 5 wrong. A score of 17 points can be obtained with 5 correct, 2 unanswered and 3 wrong. A score of 23 points can be obtained with 7 correct, 2 unanswered and 1 wrong. Therefore, by process of elimination, 29 is the total score which is not possible.

(Why is 29 not possible? If all ten questions are correct, the total score would be 30 points. If 9 or fewer questions are correct, at least 2 points will be lost from the maximum possible, ie. the maximum possible score is 28 . Therefore, 29 is not possible.)

ANswer: (E)