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?

The number of students who can only sing is twice as many as the number of students who can only play.

The number of students who can only sing is equal to the sum of the number of students who can sing and dance and the number of students who can only play and sing.

The number of students who can only play and sing equals the number of students who can only dance and play.

The number of students who can only dance equals to the number of students who can only sing.

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MAT>Chapter 19 - Venn Diagrams>MAT 2021>Q 20

MEDIUM

NTSE Stage II

IMPORTANT

Earn 100

In a class $45 %$ students study Mathematics, $55 %$ study Physics, $40 %$ study Chemistry, $30 %$ study Mathematics and Physics, $15 %$ study Physics and Chemistry, $25 %$ study Mathematics and Chemistry and $10 %$ study all three subjects. What percentage do not read any subject?

50% studentsanswered this correctly

Important Questions on Venn Diagrams

MEDIUM

NTSE Stage II

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MAT>Chapter 19 - Venn Diagrams>MAT 2021>Q 21

Study the diagram given below:

Question Image

$500$ students appeared in an examination comprising tests in English, Hindi and Urdu. The diagram gives the number of students who failed in different tests. What is the percentage of students who failed in at least two subjects?

MEDIUM

NTSE Stage II

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MAT>Chapter 19 - Venn Diagrams>MAT 2021>Q 22

Details of a survey conducted among $200$ students of a school on a particular day is as follows:

$40 %$ of the students came by bicycle, $50 %$ of the students came by walk and the remaining came by bus. $30 %$ of the students who came by bicycle and $40 %$ of the students who came by walk play cricket. $40 %$ of the students who come by bus do not play cricket. If we represent students who came by walk as $A$ , students who came by bicycle by $B$ and students who play cricket by $C$ , then choose the diagram which shows the survey result.