Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Logical and Analytical Reasoning

Topic

Venn Diagram

Question:

60 students participated in one or more of the three competitions, i.e. Quiz, Extempore and Debate. A total of 22 students participated either in Quiz only or in Extempore only. 4 students participated in all three competitions. A total of14 students participated in any of the two competitions only. How many students participated in Debate only?

Options:

11

20

14

22

Correct Answer:

20

Explanation:

60 students participated in one or more of the three competitions, i.e. Quiz, Extempore and Debate. A total of 22 students participated either in Quiz only or in Extempore only.

4 students participated in all three competitions.

A total of14 students participated in any of the two competitions only

 Number of students who  participated in Debate only = 60 - (22 + 4 +  14 )= 60 - 40 = 20