In a competitive exam, each correct answer gets 3 points and each wrong answer gets 1 point dedicated students score 210 from 110 questions. How many answer were wrong?
- 50
- 40
- 60
- None of these
Explanation
Total points scored = 210
Total questions = 110
Points for each correct answer = 3
Points for each wrong answer = 1
Let's say the number of correct answers is x.
Then, the number of wrong answers is (110 - x).
The total points scored can be represented as: 3x + (110 - x) = 210
Simplify the equation: 3x + 110 - x = 210
Combine like terms: 2x + 110 = 210
Subtract 110 from both sides: 2x = 100
Divide both sides by 2: x = 50
So, the number of correct answers is 50.
Now, let's find the number of wrong answers:
Number of wrong answers = Total questions - Number of correct answers
= 110 - 50
= 60
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