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In an exam of 80 questions, a correct answer gives 1 marks but a wrong answer deducts 1 marks, and if a question in not attempted there is no deduction in marks. If a student attempted only 80% of the question and got 32 marks, then how many questions did he answer correctly?

In an exam of 80 questions, a correct answer gives 1 marks but a wrong answer deducts 1 marks, and if a question in not attempted there is no deduction in marks. If a student attempted only 80% of the question and got 32 marks, then how many questions did he answer correctly? Correct Answer 48

Let us consider that the student answered ‘a’ answers correctly.

Now, the student attempted only 80% of the questions (given)

80% of 80 = 64

So, number of incorrect questions = (64 - a)

Also, the student scored 32 marks (given)

So, according to question:

a - (64 - a) = 32

→ a - 64 + a = 32

→ 2a = 96

→ a = 48

Hence, the student answered 48 questions correctly.

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