CT 15: Reasoning (Venn Diagram ভেনচিত্র)

1) In a group of 200 people, 120 like cricket, 80 like football, and 60 like both cricket and football. How many people like either cricket or football or both?

2) In a survey, it was found that 70% of people like coffee, 50% like tea, and 30% like both. What percentage of people like either coffee or tea?

3) A Venn diagram represents three sets X, Y, and Z. If the cardinalities of the sets are |X|=10, |Y|=15, and |Z|=20, and each pair of sets intersects exactly twice, what is |X ∪ Y ∪ Z|?

4) In a logical Venn diagram, if set H represents people who speak Hindi, set E represents people who speak English, and set F represents people who speak French, which part of the diagram shows people who speak both Hindi and French but not English?

5) In a school, 500 students study mathematics, 300 study physics, and 200 study both subjects. If there are 1000 students in total, how many students study neither subject?

6) Select the Venn diagram that best represents the relationship among the given set of classes:
Metals, Silver, Gold

7) In a survey of 100 students, 60 like chocolate, 50 like vanilla, and 20 like both. How many students like either only chocolate or only vanilla?

8) In a Venn diagram with sets P, Q, and R, which of the following represents the elements that are in P and Q but not in R?

9) Select the Venn diagram that best illustrates the relationship between the three given classes.
School, Teacher, Student

10) Which of the following Venn diagrams correctly represents the relationships among the classes:
Educated, Mothers, Employed