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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 30Let number of questions answered correctly be x. Then, the number of questions answered incorrectly is 60−x. Marks obtained for correct answers is x×3=3x. Marks lost for wrong answers is (60−x)×1=60−x. So, the total mark obtained is 3x−(60−x), which is equal to 60. Hence, ⇒3x−(60−x)=60⇒ 3x−60+x=60⇒ 4x=60+60⇒ 4x=120⇒ x=1204⇒ x=30 Hence, Vinita has answered 30 questions correctly.

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