Sets Mock Tests

In a group of 50 students, 30 like mathematics, 25 like physics, and 10 like both. The number of students who like neither mathematics nor physics is:

If A = {1, 2, 3, 4, 5} and B = {2, 4, 6, 8}, then the number of subsets of A − B is:

If A = {1, 2, 3, 4, 5}, the number of elements in the power set of A is:

If A = {x : x is a prime number less than 10} and B = {x : x is an odd number less than 10}, then A ∩ B is equal to:

In a class of 40 students, 25 play cricket, 20 play football, and 10 play both. How many students play neither cricket nor football?

If U is the universal set and A is a subset of U, then the complement of the complement of A is equal to:

In a class of 60 students, 40 play cricket, 30 play football, and 20 play both. How many play neither?

In a certain group of people, 105 speak Hindi, 100 speak English, and 60 speak both. If the total number of people in the group is 150, how many people speak neither Hindi nor English?