There are 180 multiple choice questions in a test. If a candidate… - Vidyadip

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 \times 4-(180-x) \times 1=450 $
$\Rightarrow 4 x-180+x-= 450 $
$\Rightarrow 5 x=450+180=630 $
$\Rightarrow x=\frac{630}{5}=126$
Number of question which answered correctly $=126$

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