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Question

# Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrongly is 1 less than the number of questions he answered correctly, then find the number of questions he answered correctly.

A

14

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B

13

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C

12

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D

15

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Solution

## The correct option is B 13 Let the number of questions answered correctly be x. Number of questions answered wrong =x−1 Marks scored = (marks for correct answers - marks for wrong answers) ⇒40=4x−1(x−1) ⇒40=4x−x+1 ⇒39=3x ⇒x=13 So, Hermaan answered 13 questions correctly.

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