# Venn Diagram

Logical Reasoning Questions based on Venn Diagram can be tried upon in this question and answers. Attempt all of them to know if you understand it's basic concept.This section is very useful for those who are preparing for competitive exams such as Written test of Bank Exams, CAT Exams, Railway Exams, SSC, UPSC,Banking,Insurance, Defence and many more.

• Q1.In a hostel, there are three options for students for evening classes : dancing, singing and swimming. Students must participate in at least one, and may participate in two or even in all three. There are 240 students in the hostel. There are 140 students in dancing, 146 in the singing, and 90 in the swimming. Furthermore, 74 students are in both the dancing and singing, 40 are in both the dancing and the swimming, and 16 students are in all three groups. Fifty students are just in the singing, not in anything else. How many students participate in only the swiming?

• Q2.At a certain group of 200 children, the children can play tennis, football, both or neither. Just as many play both as play neither. One quarter of those who play football also play tennis. The total number who play tennis is 10 fewer than those who play football only. How many children play tennis only?

• Q3.In a survey of 100 college students, it was found that 48 read Economic Times, 39 read Hindu and 44 read Times of India Newspaper. It was also found that 17 read both Economic Times and Hindu, 18 read both Hindu and Times of India and 22 read both Economic Times and Times of India and the balance 20 read none of these 3 newspapers. Determine the number of students who read exactly one newspaper.

• Q4.In the below figure, circle P represents hardworking people, circle Q represents intelligent people, circle R represents truthful people, and circle S represents honest people. Which region represents the people who are intelligent, honest and truthful but not hardworking?

• Q5.In a sports academy, 28 students learn horse riding, 30 students learn swimming and 32 students learn chess. 6 students learn horse riding and swimming, 8 students learn swimming and chess, 10 students learn chess and horse riding. The number of students who learn only one sport is 54. Also 20 students learn only swimming. Every student learns at least one sport out of the three sports.
Find the number of students who learn horse riding and chess but not swimming?

• Q6.In a sports academy, 28 students learn horse riding, 30 students learn swimming and 32 students learn chess. 6 students learn horse riding and swimming, 8 students learn swimming and chess, 10 students learn chess and horse riding. The number of students who learn only one sport is 54. Also 20 students learn only swimming. Every student learns at least one sport out of the three sports.
Find the total number of students in the sports academy?

• Q7.Of the 200 candidates who were interviewed for a position in an organisation, 100 had specialisation in finance, 70 had specialisation in marketing and 140 had specialisation in HR. 40 of them had studied, finance and marketing, 30 had studied both, a marketing and HR and 60 had studied both, a Finance and HR and 10 had all three. How many candidates had none of the three?

• Q8.In a class of 120 students numbered 1 to 120, all even numbered students opt for Science, whose numbers are divisible by 5 opt for Economics and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?

• Q9.Directions for question : In each question below are four statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements.
Statements:
Some highways are lanes.
All lanes are streets.
Conclusions:
I. Some highways are streets.
IV. All lanes are highways.