CAT · Data Interpretation & Logical Reasoning
Venn Diagrams
2-set and 3-set Venn problems — overlaps, exclusive regions.
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Take a full mock →Q1 · Venn Diagrams · EASY
A Venn diagram shows the number of students studying three languages: Hindi (H), English (E), and French (F). n(H only)=30, n(E only)=25, n(F only)=20, n(H∩E only)=15, n(E∩F only)=10, n(H∩F only)=12, n(H∩E∩F)=8. How many students study at least two languages?
Q2 · Venn Diagrams · EASY
In a survey of 200 students, 120 students play cricket, 90 play football, and 50 play both cricket and football. How many students play neither cricket nor football?