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In a competitive exam, each correct answer gets 3 points and each wrong answer gets 1 point dedicated students score 220 from 140 questions. How many answer were wrong?
  1. 50
  2. 60
  3. 90
  4. None of these
Explanation
Total questions = 140  
Marks for correct answer = +3  
Marks for wrong answer = -1  
Total score = 220  
Let correct answers = C  
Let wrong answers = W  
We have two equations:  
1. C + W = 140  
2. 3 x C - 1 x W = 220  
From equation 1: C = 140 - W  
Put C in equation 2:  
3 x (140 - W) - W = 220  
420 - 3W - W = 220  
420 - 4W = 220  
4W = 420 - 220  
4W = 200  
W = 200 / 4  
W = 50  

Last verified on 16-07-2026

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