The problem gives:
- Total questions attempted = 120
- Marks for correct answer = +3 marks
- Marks for wrong answer = -1 mark
- Final score = 320 marks
Let correct answers = c and wrong answers = w.
Since all 120 questions were attempted:
c+w=120 ... (Equation 1)
Since correct answers give +3 marks and wrong answers lose 1 mark:
3c−w=320 ... (Equation 2)
Adding both equations:
c+w=120
3c−w=320
4c=440
c=110
Finding wrong answers:
w=120−c
w=120−110
w=10
The student answered 10 questions incorrectly.