6. In a mathematics competition, there are three types of questions: multiple-choice questions (6 questions), fill-in-the-blank questions (4 questions), and problem-solving questions (3 questions). Among them, each multiple-choice question and each fill-in-the-blank question is worth 7 points, and the problem-solving questions are worth 20 points for the 1st question and 25 points each for the 2nd and 3rd questions, with a total full score of 140 points. The scoring criteria are: 7 points for a correct answer to a multiple-choice or fill-in-the-blank question, and 0 points for an unanswered or incorrect answer; for problem-solving questions, there are 6 levels of scores: 0 points, 5 points, 10 points, 15 points, 20 points, and 25 points. Therefore, the maximum number of different scores that can be obtained in this exam is ( . ) types.
(A) 141
(B) 129
(C) 105
(D) 117
G.D.
(1) The possible scores for multiple-choice and fill-in-the-blank questions are $0,7,14, \cdots, 70$, a total of 11 possibilities. The possible scores for problem-solving questions are $0,5,10, \cdots, 70$, a total of 15 possibilities. Therefore, there can be $11 \times 15=165$ results.
(2) The following 23 scores $0,5,7,10,12,14,15,17,19$, $20,21,22,24,25,26,27,28,29,30,31,32,33,34$ can be obtained and each has only one way to achieve; also, $35=7 \times 5=5 \times 7$, meaning 35 points can be represented by getting 5 questions right worth 7 points each or 7 questions right worth 5 points each. Therefore, the 23 scores mentioned earlier, when each increased by 35, have two ways to achieve. Thus, these new 23 scores each have two ways to achieve and are all less than 70. By symmetry, subtracting these new 23 scores from 140 also results in numbers that have two ways to represent, and these numbers are precisely the scores between 71 and 140 that can be achieved. In total, there are $2 \times 23=46$ such numbers.
(3) Since $70=7 \times 10=5 \times 14=7 \times 5+5 \times 7$, there are three ways to achieve 70 points.
Therefore, the number of different scores that can be achieved without repetition is
$$
165-46-2=117 \text { (ways). }
$$