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Question

A test consists of 60 multiple choice questions. 3 marks are given for each correct answer and 1 mark is deducted for each wrong answer. If Vinita attempted all questions and scored 60 marks, then how many questions did she attempt correctly?

A
30
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B
35
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C
25
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D
40
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Solution

The correct option is A 30
Let number of questions answered correctly be x.
Then, the number of questions answered incorrectly is 60x.

Marks obtained for correct answers is x×3=3x.
Marks lost for wrong answers is (60x)×1=60x.

So, the total mark obtained is
3x(60x), which is equal to 60.

Hence,
3x(60x)=60 3x60+x=60 4x=60+60 4x=120 x=1204 x=30

Hence, Vinita has answered 30 questions correctly.

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