Question

In a quiz programme, the ratio of correct answers to incorrect answers is $5:2$. If a student gives $16$ incorrect answers, then the number of correct answers given is __________.

• A. $80$
• B. $40$
• C. $20$
• D. $30$

Answer 1

The correct option is B $40$

Let the number of correct answers be $5x$ and that of incorrect answers be $2x$.

According to question,
$2x=16\Rightarrow x=\frac{16}{2}=8$.
$\therefore$ Number of correct answers $=5\times 8=40$.