Let C = number of correct answers
Let W = number of wrong answers
Since the student attempted all 200 questions:
C+W=200
The scoring scheme gives 4 marks for each correct answer and deducts 1 mark for each wrong answer. With a total score of 200 marks:
4C−W=200
Adding both equations:
C+W=200
4C−W=200
5C=400
C=5400
C=80
Therefore, the student answered 80 questions correctly.
The answer is option 3.