Question

The figure below shows a circle divided into 3 equal parts.The shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. The unshaded region corresponds to ${\frac{a}{3}}^{rd}$ of the circle. Then, the value of a is _____.

___

• A. 0
• B. 1
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$

Answer 1

The correct option is B

1

Since the entire circle is divided into 3 equal parts, each part represents ${\frac{1}{3}}^{rd}$ of the circle. Since there are two shaded parts, the shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. There is only one part which is unshaded and hence this corresponds to ${\frac{1}{3}}^{rd}$ of the circle.

Therefore $a=1$.