In the figure, if A, B, and C are the areas, respectively, of the three nonoverlapping regions

In the figure, if A, B, and C are the areas, respectively, of the three nonoverlapping regions formed by the intersection of two circles of equal area, what is the value of B + C?

  1. A + 2B + C = 24
  2. A + C = 18 and B = 3

Answer

As the individual areas of both circles are equal, 

A + B = B + C

A = C

Statement 1: A + 2B + C = 24

As A = C,

C + 2B + C = 24

2B + 2C = 24

B + C = 12

So, statement 1 is sufficient to answer the question.

Statement 2: A + C = 18 and B = 3.

As A = C,

C + C = 18

C = 9

Statement 2 is sufficient to answer the question.

The correct option is D.