Question

In a quiz program, the correct answer gets you 2 marks. For each wrong answer, one mark is deducted. There are 50 questions to be answered. If Preeti scored 76 marks in the quiz, how many of her questions were right?

• A. 26
• B. 13
• C. 42
• D. 38

Answer 1

The correct option is C 42

If the number of questions answered correctly are $x$, then the number of questions answered incorrectly will be $(50-x)$.

For each correct answer, she gets 2 marks. So the marks scored for $x$ correctly answered questions is $2x$.
Similarly, the marks deducted for $(50-x)$ incorrectly answered questions are $(50-x)\times 1=50-x$

Now, the total marks scored by Preeti will be $2x-(50-x)=2x-50+x=3x-50$
The final equation is, $3x-50=76$
$\Rightarrow 3x=50+76$
$\Rightarrow x=\frac{126}{3}=42$
So, the total number of questions answered correctly is 42