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Question

# In a aptitude test of 100 questions, the marks awarded to each question is as follows: +3 for correct answer -1 for wrong answer 0 for unattempted question. If alex scored 90 marks by attempting half of the questions, then how many questions did Alex attempted correctly?

A
30
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B
35
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C
40
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D
50
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Solution

## The correct option is B 35Marks obtained for 1 right answer = +3​. Marks obtained for 1 wrong answer = -1. Total marks scored by Alex = 90​. Number of questions attempted = Half of 100 = 100 ÷ 2 = 50 questions. Let number of correct answers be x. ​ Number of incorrect answers = (50 – x)​ 3x + (50 - x)(-1) = 90​ 3x - 50 + x = 90​ 4x = 90 + 50​ 4x = 140​ x = 35​ Therefore number of questions answered correctly = 35​

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