Mathematics Questions and Answers – Operation on Sets-1

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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

Answer: c
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}.
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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

Answer: c
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

Answer: a
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.
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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

Answer: b
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

Answer: d
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}.
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6. Is A∪B = B∪A?
a) True
b) False
View Answer

Answer: a
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

Answer: a
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.
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8. In the given Venn diagram, find A∪B.
mathematics-questions-answers-operation-sets-1-q8
a) a
b) b
c) a + c
d) a + b + c
View Answer

Answer: d
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.
mathematics-questions-answers-operation-sets-1-q8
a) a
b) b
c) c
d) a + b + c
View Answer

Answer: c
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.
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10. In the given Venn diagram, find A∪B.
mathematics-questions-answers-operation-sets-1-q10
a) {1,2,3}
b) {2,4}
c) {3}
d) {2,3,4}
View Answer

Answer: d
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.
mathematics-questions-answers-operation-sets-1-q10
a) {1,2,3}
b) {2,4}
c) {3}
d) {2,3,4}
View Answer

Answer: b
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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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter