There are 180 multiple choice questions in a test. A candidate gets 4 marks for every
correct answer, and for every un-attempted or wrongly answered questions one mark is
deducted from the total score of correct answers. Ifa candidate scored 450 marks in the
test how many questions did he answer correctly?
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Answer:
Let the number of correct answers be x
Number of questions answered wrong are (180 – x)
Total score when answered right = 4x
Marks deducted when answered wrong = 1(180 – x) = 180 – x
So, 4x – (180 – x) = 450
4x – 180 + x = 450
5x = 450 + 180
5x = 630
x = 630/5 = 126
∴ 126 questions he answered correctly .
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