Practice Questions on Operations on Sets

Last Updated : 26 Jun, 2026

These practice questions on operations on sets are designed to enhance your understanding of key concepts such as union, intersection, difference, and complement.

Q1. Find the union of set A and B given that set A = {2, 4, 6} and set B = {4, 10}.

A = {2, 4, 6}

B = {4, 10}

A ∪ B = {2, 4, 6, 10}

Q2. Find the intersection of set X and Y given X = {5, 9, 10, 15} and Y = {4, 5, 12}.

X = {5, 9, 10, 15}

Y = {4, 5, 12}

X ∩ Y = {5}

Q3. Find the complement of set P given the universal set U = {10, 20, 30, 40, 50, 60} and P = {20}.

U = {10, 20, 30, 40, 50, 60}

P = {20}

Pc = U - P

Pc = {10, 20, 30, 40, 50, 60} - {20}

Pc = {10, 30, 40, 50, 60}

Q4. Find the set difference of sets C and D given that C = {1, 4, 7} and D = {4, 8}

C = {1, 4, 7}

D = {4, 8}

C - D = {1, 4, 7} - {4, 8}

C - D = {1, 7}

Q5. Find the power set of the set A = {2, 7}

A = {2, 7}

Power set of A = P(A) = {?, 2, 7, {2,7}}

Q6. What are the number of elements in the union of two sets P and Q with number of elements 5, 6 respectively. Also, the number of common elements in both sets is 2.

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 5 + 6 - 2

n(A∪B) = 9

Q7. Find the number of elements in the intersection of two sets given the number of elements of sets U and V are 8 and 9 and the number of elements in their union is 13.

n(A∩B) = n(A) + n(B) - n(A∪B)

n(A∩B) = 8 + 9 - 13

n(A∩B) = 4

Practice Questions

1. Find the union of set A and B given that set A = {1, 2, 5} and set B = {7, 9}.

2. Find the intersection of set X and Y given X = {1, 4} and Y = {3, 4, 5}.

3. Find the complement of set P given the universal set U = {1, 2, 3, 4, 5, 6} and P = {2, 5}.

4. Find the set difference of sets C and D given that C = {10, 20, 30} and D = {1, 10}

5. Find the power set of the set A = {1, 4}

6. What are the number of elements in the union of two sets P and Q with number of elements 10, 8 respectively. Also the number of common elements in both sets is 3.

7. Find the number of elements in the intersection of two sets given the number of elements of sets U and V are 5 and 7 and the number of elements in their union is 10.

Comment

Explore