Question
There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question 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?

Answer

Number of total quations = 180
Let the candidate answers questions correctly = x
$\therefore$ Uncorrect or unttended quastions = 180 - x
Total score he got = 450
According to the condition
x × 4-(180 - x) × 1 = 450
⇒ 4x - 180 + x - = 450
⇒ 5x = 450 + 180 = 630
$\Rightarrow\text{x}=\frac{630}{5}=126$
Number of question which answered correctly = 126

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