RSMSSB · Logical Reasoning and Mental Ability

Venn Diagrams

Set-based Venn diagram problems.

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  • Q1 · Venn Diagrams · EASY

    In a group of 50 students, 30 play Cricket, 25 play Football and 10 play both Cricket and Football. How many students play neither Cricket nor Football?

  • Q2 · Venn Diagrams · EASY

    In a class of 60 students, 35 like Tea, 30 like Coffee and 15 like both Tea and Coffee. How many students like only Tea?

  • Q3 · Venn Diagrams · MEDIUM

    In a survey of 100 people, 60 read newspaper A, 50 read newspaper B, 40 read newspaper C, 30 read both A and B, 20 read both B and C, 25 read both A and C, and 10 read all three newspapers. How many people read at least one newspaper?

  • Q4 · Venn Diagrams · MEDIUM

    In a group of 80 people, 50 speak Hindi, 40 speak English and 20 speak both Hindi and English. If everyone speaks at least one language, how many speak only Hindi?

  • Q5 · Venn Diagrams · HARD

    In a college, 70 students study Mathematics, 60 study Physics, 55 study Chemistry, 35 study both Mathematics and Physics, 30 study both Physics and Chemistry, 28 study both Mathematics and Chemistry, and 18 study all three subjects. How many students study only Chemistry?

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