This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Operation on Sets-1”.

1. If A = {1,2,3} and B = {3,4,5,6}. Find A∪B.

a) {1,2,3}

b) {3}

c) {1,2,3,4,5,6}

d) { }

View Answer

Explanation: Union of set A and B is a set that contains all the elements of set A and set B.

A = {1,2,3}

B = {3,4,5,6}

A∪B = {1,2,3,4,5,6}.

2. Let A be the set of odd numbers and B be the set of even numbers then find A∩B.

a) Set of prime numbers

b) Set of real numbers

c) Empty set

d) Set of natural numbers

View Answer

Explanation: Intersection of set A and B is a set that contains elements which is common to both set A and set B. Set of odd numbers and even numbers does not have any common element so, A∩B is an empty set.

3. If A={a, e, i, o, u} and B={a, e, u} then A∪B = __________

a) A

b) B

c) Φ

d) A∩B

View Answer

Explanation: Union of set A and B is a set that contains all the elements of set A and set B.

A={a, e, i, o, u}

B={a, e, u}

A∪B={a, e, i, o, u} = A.

4. If A = {a, e, i, o, u} and B = {a, e, u} then A∩B=__________

a) A

b) B

c) Φ

d) A∪B

View Answer

Explanation: Intersection of set A and B is a set that contains elements which is common to both set A and set B.

A = {a, e, i, o, u}

B = {a, e, u}

A∩B = {a, e, u} = B.

5. If A = {1,2,3} and B = {3,4,5,6}. Find A∩B.

a) {1,2,3}

b) { }

c) {1,2,3,4,5,6}

d) {3}

View Answer

Explanation: Intersection of set A and B is a set that contains elements which is common to both set A and set B.

A = {1,2,3}

B = {3,4,5,6}

Here, 3 is common to both sets so A∩B = {3}.

6. Is A∪B = B∪A?

a) True

b) False

View Answer

Explanation: Let A = {1,2} and B = {2,3}. Here A∪B = {1,2,3} = B∪A.

A∪B or B∪A is same set that contains all the elements of set A and set B.

7. Is A∩B = B∩A?

a) True

b) False

View Answer

Explanation: Let A = {1,2} and B = {2,3}. Here A∩B = {2} = B∩A.

A∩B or B∩A is same set that contains elements which are common to both set A and B.

8. In the given Venn diagram, find A∪B.

a) a

b) b

c) a + c

d) a + b + c

View Answer

Explanation: Union of two sets A and B is the region that includes entire set A and set B.

In the given Venn diagram, A∪B is region a + b + c.

9. In the given Venn diagram, find A∩B.

a) a

b) b

c) c

d) a + b + c

View Answer

Explanation: Intersection of two sets A and B is the region common to both set A and set B.

In the given Venn diagram, common region is c so, A∩B is region c.

10. In the given Venn diagram, find A∪B.

a) {1,2,3}

b) {2,4}

c) {3}

d) {2,3,4}

View Answer

Explanation: Union of two sets A and B is the region that includes entire set A and set B.

In the given Venn diagram, A∪B={2,3,4}.

11. In the given Venn diagram, find A∩B.

a) {1,2,3}

b) {2,4}

c) {3}

d) {2,3,4}

View Answer

Explanation: Intersection of two sets A and B is the region common to both set A and set B.

In the given Venn diagram, A∩B={2,4}.

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