sairam595 wrote:
Tom, who has 50 math questions, will get 5 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?
A. 192
B. 193
C. 194
D. 195
E. 196
I had no clue, how to solve this question without knowing number of questions he attempted correct/wrong.
Please advise
Hi sairam595,
I solved it this way.
Suppose, Tom answered all questions correctly, then he would have scored 50 * 5 = 250 points.
Now, let's say, if 1 of his answer was wrong, how much marks would he get. From 250, deduct 5 for the correct answer, which we have assumed earlier and 2 for the negative marking (for wrong answer). So, his score would be 250 - 5 - 2 = 243 marks (for 1 wrong answer).
Again, let's say 2 answers were wrong. As we did calculation above, he would get 243 - 5 - 2 = 236 marks (for 2 wrong answers).
Now, we see that for every wrong answer, the score is getting reduced by 7. So, now reduce 7 * 7 = 49 from 250 (for 7 wrong answers) and we will get 201 score.
Now, reduce another 7 (for 1 more wrong answer) and we will get 201 - 7 = 194, which is the correct answer choice as per option C.
Note that 194 marks / score is obtained for 8 wrong answers and 42 correct answers.
Hence Answer option (C) = 194 is the correct answer.
Regards,
Ravish.