In the following figure the triangle represents men, the rectangle represents employed ones and the circle represents doctors. Which is the area of the figure that represents men doctors who are not employed?

The correct answer is (c).

The area of the figure that represents men doctors who are not employed is the area of the intersection of the triangle and the circle, minus the area of the intersection of the rectangle and the circle. The area of the triangle is 12, the area of the circle is 9, and the area of the intersection of the rectangle and the circle is 6. Therefore, the area of the figure that represents men doctors who are not employed is 12 – 6 = 6.

Option (a) is incorrect because it is the area of the entire figure, which includes men who are not doctors, employed men who are not doctors, and men doctors who are employed.

Option (b) is incorrect because it is the area of the rectangle, which includes employed men who are doctors and employed men who are not doctors.

Option (d) is incorrect because it is the area of the circle, which includes all men doctors.