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Venn Diagram Questions with Solutions

13 questions7 easy6 medium

In logical reasoning, Venn diagram questions ask you to choose the diagram that best represents the relationship between three or more groups, such as Doctors, Men and Fathers. This topic also covers reading information from a given diagram, for example counting people who are in one group but not another, and number-based Venn diagram problems. To choose the right diagram, compare the groups two at a time. One group may lie entirely inside another (all fathers are men), the groups may partly overlap (some men are doctors), or they may not overlap at all (cats and dogs). For questions based on a given diagram, carefully read which regions are inside or outside each shape before counting. Practise the Venn diagram questions below, each with a step-by-step solution.

All QuestionsEasyMediumHard
  1. Q1.

    Select the diagram that best represents the relationship among the following classes: Citizens, Educated, Men

    A. Diagram (A)B. Diagram (B)C. Diagram (C)D. Diagram (D)
    mediumAsked in MAH MBA CET 2024View solution ›
  2. Q2.

    Select the Venn diagram that best represents the relationship among the following: India, Delhi, Assam, Guwahati

    A. Diagram (A)B. Diagram (B)C. Diagram (C)D. Diagram (D)
    mediumAsked in SSC CGL 2021View solution ›
  3. Q3.

    In a school, 70 students play only hockey, 100 play only football, 30 play both games and 150 do not play anything at all. What is the percentage, rounded to two decimals, of hockey players to total students in the school?

    A. 46.6%B. 20%C. 28.57%D. 66.6%
    easyAsked in NIMCET 2026View solution ›
  4. Q4.

    A university is offering elective courses in Mathematics, Economics and Sociology. Each of its 100 undergraduate students has to opt for at least one of these electives. Enrolment data showed that 47 students enrolled for Mathematics, 47 for Economics and 57 for Sociology. If 7 students enrolled for all three courses, how many students enrolled for exactly one course?

    A. 58B. 56C. Cannot be determinedD. 60
    mediumAsked in NIMCET 2023View solution ›
  5. Q5.

    In a class of 60 students, 35 like tea, 30 like coffee and 10 like neither. How many students like both tea and coffee?

    A. 5B. 10C. 15D. 20
    easyView solution ›
  6. Q6.

    In a class of 60 students: 30 students study Law, 25 students study Political Science, 10 students study both Law and Political Science. How many students study neither Law nor Political Science?

    A. 5B. 10C. 15D. 20
    easyAsked in MAH LLB 3 Year CET 2026View solution ›
  7. Q7.

    Study the following diagram and answer questions based on it. Find the numbers of people who play chess only.

    A. 45B. 25C. 30D. 35
    mediumAsked in MAH LLB 3 Year CET 1 April Shift 2 2026View solution ›
  8. Q8.

    If you have been asked to draw a Venn Diagram showing the relationship among Squares, Rectangles, and Polygons, which of the following ideas will you draw?

    A. Three disjoint circlesB. Circle for Squares inside a circle for Rectangles, both inside a circle for PolygonsC. Three partially overlapping circlesD. Circle for Rectangles inside a circle for Squares
    easyAsked in MAH LLB 3 Year CET 2 April Shift-2 2026View solution ›
  9. Q9.

    Directions (Q5–Q6): The figure shows the number of people in each group. Study it and answer the question. How many women are doctors but not singers?

    A. 3B. 9C. 6D. 12
    easyView solution ›
  10. Q10.

    Directions (Q5–Q6): The figure shows the number of people in each group. Study it and answer the question. How many singers are not women?

    A. 9B. 13C. 17D. 24
    easyView solution ›
  11. Q11.

    Which of the following groups is best represented by the diagram below?

    A. Fruits, Mangoes, VegetablesB. Women, Mothers, DoctorsC. Country, State, CityD. Pen, Pencil, Stationery
    mediumView solution ›
  12. Q12.

    There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, only Hindi and only English?

    A. 21, 11 and 29 respectivelyB. 39, 29 and 11 respectivelyC. 27, 27 and 13 respectivelyD. 28, 18 and 22 respectively
    easyAsked in NIMCET 2018View solution ›
  13. Q13.

    Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

    A. 0B. 2C. 4D. 8
    mediumAsked in NIMCET 2018View solution ›