Venn Diagrams Mock Tests

In a class of 60 students, 40 students like Cricket, 25 students like Football, and 15 students like both. How many students like neither Cricket nor Football?

In a Venn diagram with three circles — A, B, and C — the region where all three circles overlap contains 8 elements. The region where A and B overlap (but not C) contains 5 elements. The region where B and C overlap (but not A) contains 3 elements. The region where A and C overlap (but not B) contains 4 elements. How many elements are in the intersection of at least two sets?

In a Venn diagram representing students who play Cricket, Football, and Tennis, if 15 students play Cricket and Football, 10 play Football and Tennis, 8 play Cricket and Tennis, and 5 play all three sports, how many play exactly two sports?

In a class, 30 students play Cricket, 25 play Football, and 15 play both Cricket and Football. If every student plays at least one of these two games, how many students are there in the class?

In a class of 60 students, 35 play Cricket, 30 play Football, and 20 play Hockey. 15 play both Cricket and Football, 10 play both Football and Hockey, and 8 play both Cricket and Hockey. 5 students play all three sports. How many students play none of these sports?

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

In a class of 60 students, 35 students like Mathematics, 40 students like Science, and 20 students like both. How many students like neither Mathematics nor Science?

In a class of 50 students, 30 play Hockey, 25 play Tennis, and 10 play neither. How many students play both Hockey and Tennis?