Embibe Experts Solutions for Chapter: Venn Diagrams, Exercise 1: MAT 2021

The following figures represent students who can play, sing and dance.

It is given that the total numbers of students in all the three disciplines are same. Also, sum of the number of students who can only dance and twice of the number of students who can do both singing and dancing, equals the sum of the students who can do both singing and playing, and the students who can do both dancing and playing. Then which among the alternatives is a correct statement about the number of students who can only play and those who can only sing?

In a town of $1000$ people $570$ read Hindi newspaper, $424$ read English newspaper and $254$ read Punjabi newspaper. $40$ read only Hindi and Punjabi newspaper; $58$ read only Hindi and English newspaper, and $70$ read only Punjabi and English newspaper. $100$ read no newspaper. How many people read all the three newspaper?

Which one of the following Venn diagrams represents the relation among men, doctors and patients in a hospital?

Study the diagram and answer the question

How many actors are magicians?

Study the diagram and answer the question

How many actors are also philosophers but not historians or musicians?

In a certain school, $62\%$ of candidates qualified all the three subjects, namely English, Mathematics and Social Science. The following diagram gives the number of candidates who are not qualified in different subjects. What is the percentage of candidates who are not qualified in at least two subjects?

The following figure represents the number of students in each of the clubs in a school.

Find the number of students representing at least two clubs of the school.

Female singer are represented in the figure as: