Venn Diagram Questions with Solutions
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.
- Q1.
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 › - Q2.
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. 20easyView solution › - Q3.
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. 20easyAsked in MAH LLB 3 Year CET 2026View solution › - Q4.
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 SquareseasyAsked in MAH LLB 3 Year CET 2 April Shift-2 2026View solution › - Q5.
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. 12easyView solution › - Q6.
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. 24easyView solution › - Q7.
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 respectivelyeasyAsked in NIMCET 2018View solution ›