Question

A test consists of 60 multiple choice questions. 3 marks are given for each correct answer and 1 mark is deducted for each wrong answer. If Vinita attempted all questions and scored 60 marks, then how many questions did she attempt correctly?

• A. 30
• B. 35
• C. 40
• D. 25

Answer 1

The correct option is A 30

Let number of questions answered correctly be $x$.
Then, the number of questions answered incorrectly is $60-x$.

Marks obtained for correct answers is $x\times 3=3x$.
Marks lost for wrong answers is $(60-x)\times 1=60-x$.

So, the total mark obtained is
$3x-(60-x)$, which is equal to $60$.

Hence,
$\Rightarrow 3x-(60-x)=60\Rightarrow 3x-60+x=60\Rightarrow 4x=60+60\Rightarrow 4x=120\Rightarrow x=\frac{120}{4}\Rightarrow x=30$

Hence, Vinita has answered 30 questions correctly.