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. If a candidate scored 450 marks in the test how many questions did he answer correctly?
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Let number of correctly answered questions be x
So, number of un-attempted or wrongly answered questions will be 180 - x
we have given that, for correctly answered questions, candidate will get +4 marks
for incorrectly answered/un-attempted questions, candidate will get -1 marks
⇒So, According to the question we have
⇒4x+(180-x)(-1) = 450
⇒4x-180+x = 450
⇒5x = 630
⇒x = 126
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