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In an examination, a student scores 3 marks for every correct answer and looses 1 marks for every wrong answer. A student attempted all the 120 questions and scored 320 marks. Find the number of questions, he answered incorrectly.

Solution

✅ Correct Option: 2

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 = cc and wrong answers = ww.

Since all 120 questions were attempted:

c+w=120c + w = 120 ... (Equation 1)

Since correct answers give +3 marks and wrong answers lose 1 mark:

3c−w=3203c - w = 320 ... (Equation 2)


Adding both equations:

c+w=120c + w = 120

3c−w=3203c - w = 320

4c=4404c = 440

c=110c = 110


Finding wrong answers:

w=120−cw = 120 - c

w=120−110w = 120 - 110

w=10w = 10


The student answered 10 questions incorrectly.

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