Solution

We are given:

• Total questions: 60
• Marks for correct answer: +4
• Marks for wrong answer: -1
• Total score: 130

Step 1: Let variables represent the unknowns

Let x = number of correct answers, y = number of wrong answers.
Since all questions are attempted, x + y = 60.

Step 2: Express total marks

Total marks = 4·x - 1·y = 130

Step 3: Solve the system of equations

From x + y = 60 → x = 60 - y
Substitute into total marks equation:
4(60 - y) - y = 130
240 - 4y - y = 130
240 - 5y = 130
5y = 110 → y = 22

Step 4: Conclusion

The student attempted 22 questions wrongly.

Answer: Option B