### Instruction: Tom, who has 50 math questions, will get 7 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?
Answer Choices: (A) 192 (B) 193 (C) 194 (D) 195 (E) 197.### Response: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.
We have x + y = 50;
Score = 7x-2y
2x+2y = 100; 7x-2y = Score;
==> 9x = 100+Score;
check for answer choices where 100+Score is divisible by 9
Choice E 197 fits the equation !