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In an examination which had 200 questions, students score 4 marks for every correct answer and lose 1 mark for every wrong answer.

A student attempted all the 200 questions and scored 200 marks. The number of questions, student answered correctly in the examination, is:

Solution

✅ Correct Option: 3

Let CC = number of correct answers

Let WW = number of wrong answers

Since the student attempted all 200 questions:

C+W=200C + 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=2004C - W = 200


Adding both equations:

C+W=200C + W = 200

4C−W=2004C - W = 200

5C=4005C = 400

C=4005C = \dfrac{400}{5}

C=80C = 80


Therefore, the student answered 80 questions correctly.

The answer is option 3.

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