Question

In a quiz programme , the ratio of correct answers to incorrect answers is 5 : 2 . If 16 incorrect answers are given , then the number of correct answers given is ____ .

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

Answer 1

Answer: (B)

$40$

$\Rightarrow$ Let the number of correct answer be $x$.

$\Rightarrow$ Incorrect answer = $16$

$\Rightarrow$ Ratio of correct answers to incorrect answers = $5:2$

$\therefore$ $\frac{5}{2}=\frac{x}{16}$

$\therefore$ $x=\frac{5}{2}\times 16$

$\therefore$ $x=40$

$\therefore$ The number of correct answer is $40.$