Question

The pie chart shows the number of participants from four countries P, Q, R and S taking part in a tennis tournament. Given that there are 18 participants from country S, find the number of participants from country R.

• A. 18
• B. 21
• C. 27
• D. 42

Answer 1

The correct option is D 42

The angle at the centre=${360}^o$.

So, we find out x and hence the angle in R.

$\therefore {60}^o+2x^o+{90}^o+x^o={360}^o⟹3x^o={210}^o⟹x^o={70}^o.\therefore R=2x^o=2\times {70}^o={140}^o.$

In S the ratio between

the players : angle=18 : ${60}^o$.

=3 : ${21}^o$.

$\therefore$ In R the number of players

=$\frac{3}{{10}^o}\times {140}^o=42$.

Ans- Option D.