If there are 25 questions, each correct answer gives 2 marks, and each wrong answer deducts 0.5 marks, a student secures 37.5 marks. How many wrong answers did the student have?
- 5
- 8
- 10
- None of these
Explanation
Let x be the number of correct answers
Number of wrong answers = 25 - x
Total marks = 2x - 0.5(25 - x) = 37.5
Simplifying the equation, we get:
2x - 12.5 + 0.5x = 37.5
2.5x = 50
x = 20
So, the number of correct answers is 20, and the number of wrong answers is:
25 - 20 = 5
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