In the following diagram, the triangle $$\vartriangle $$ represents the school teachers; the square $$\square $$ represents the married persons and the circle $$\bigcirc $$ represents the person living in joint families. Which region represents married people living in joint families but not working as school teachers?\n \n \n \n \n

Question

In the following diagram, the triangle $$\vartriangle $$ represents the school teachers; the square $$\square $$ represents the married persons and the circle $$\bigcirc $$ represents the person living in joint families. Which region represents married people living in joint families but not working as school teachers?\n    \n    \n    \n    \n

Vedantu Content Team · Accepted Answer

Hint: We use the given representation of each of the figures and shade the area stepwise for each of the required fields. Complete step by step solution:We are given that there are three figures, triangle, square and a circle.Triangle: It represents the school teachersSquare: It represents the married personsCircle: It represents persons living in joint families……………...… (1)We have to find the area that represents married people living in joint families but not working as school teachers.We shade the area step by step.Step 1: Married personSince the area has married persons, from the data given we can say the area is part of the square.\n    \n    \n    \n    \n  So the shaded region represents the married person.Step 2: Joint familyNow the person in the required area is married and lives in a joint family. From the data in equation (1) the joint family is represented by a circle. So we shade the area that is the intersection of square and circle.\n    \n    \n    \n    \n  Step 3: Not a school teacherNow the person in the required area is married, lives in a joint family and does not work as a school teacher. From the data in equation (1) the school teacher is represented by a triangle. So we shade the area that is the intersection of square and circle but exclude the triangle.\n    \n    \n    \n    \n  So the final shaded area is D.$$\therefore $$Area representing married people living in a joint family but not a teacher is D.Note: Students are likely to make mistakes in writing the answer as B as they tend to think only the “F’ part represents working as a school teacher. Keep in mind that F represents only working as a school teacher but the whole triangle represents working as a school teacher, so we exclude the whole triangle in step 3.