Sets Class 11 MCQs with Answers | Important 50 Multiple Choice Questions (NCERT Mathematics)

📋 Questions 50 ⏱️ Time 90 min

📄 Per Page 1 ✅ Pass 40%

A* 100% A 80-99% B 60-79% C 40-59% D 0-39%

✔ Select answer | ✔ Submit | ✔ Get certificate

⏱️

Question 1 of 50

A set is:

A collection of numbers only A well-defined collection of objects A collection of alphabets only An infinite collection

Question 2 of 50

Who developed Set Theory?

Euclid Newton Georg Cantor Gauss

Question 3 of 50

Which symbol denotes "belongs to"?

⊂ ∈ ∪ ∩

Question 4 of 50

Which is the set of vowels?

{a, b, c, d, e} {a, e, i, o, u} {A, B, C} {1,2,3}

Question 5 of 50

The roster form of even positive integers less than 7 is:

{1,3,5} {2,4,6} {2,4,6,8} {0,2,4,6}

Question 6 of 50

The set-builder form of vowels is:

{x : x is a vowel} {a,e,i,o,u} {x : x is a consonant} None

Question 7 of 50

Solution set of x² + x − 2 = 0 is:

{1,2} {-1,2} {1,-2} {-1,-2}

Question 8 of 50

Which collection is not well-defined?

Rivers of India Prime numbers less than 20 Ten most talented writers of India Months beginning with J

Question 9 of 50

Empty set is denoted by:

{0} φ U N

Question 10 of 50

The set of odd natural numbers divisible by 2 is:

Finite Infinite Empty set Singleton set

Question 11 of 50

Which is an empty set?

Even prime numbers Prime numbers less than 10 Odd natural numbers divisible by 2 Natural numbers less than 5

Question 12 of 50

A set having no element is called:

Universal set Finite set Null set Infinite set

Question 13 of 50

Number of elements in {1,2,3,4,5} is:

4 5 6 Infinite

Question 14 of 50

The set of natural numbers is:

Finite Empty Infinite Singleton

Question 15 of 50

A set with definite number of elements is:

Infinite Finite Universal Equal

Question 16 of 50

Two sets are equal if:

They have same number of elements They are finite They have exactly same elements They are infinite

Question 17 of 50

{1,2,3} and {3,2,1} are:

Unequal Equal Disjoint Infinite

Question 18 of 50

Repetition of elements in a set:

Changes the set Doubles elements Does not change the set Makes it infinite

Question 19 of 50

If every element of A belongs to B, then:

A = B A ⊂ B B ⊂ A A ∪ B

Question 20 of 50

Every set is a subset of:

Universal set only Empty set Itself None

Question 21 of 50

Empty set is a subset of:

Finite sets only Infinite sets only Every set No set

Question 22 of 50

A proper subset means:

A = B A ⊂ B and A ≠ B B ⊂ A A ∩ B = φ

Question 23 of 50

A set with exactly one element is called:

Empty set Universal set Singleton set Infinite set

Question 24 of 50

N is a subset of:

T Z φ None

Question 25 of 50

Which relation is correct?

N ⊂ Z ⊂ Q ⊂ R R ⊂ Q Z ⊂ N Q ⊂ N

Question 26 of 50

(a,b) denotes:

Closed interval Open interval Singleton set Empty set

Question 27 of 50

[a,b] denotes:

Open interval Empty interval Closed interval Infinite interval

Question 28 of 50

Universal set is denoted by:

U A R φ

Question 29 of 50

Union of sets is denoted by:

∩ ⊂ ∪ ∈

Question 30 of 50

A ∪ B contains:

Common elements only Elements of A only Elements of B only Elements of A or B or both

Question 31 of 50

If B ⊂ A, then:

A ∪ B = B A ∪ B = A A ∩ B = A None

Question 32 of 50

A ∪ φ =

φ U A A′

Question 33 of 50

A ∪ A =

φ A U A′

Question 34 of 50

Intersection is denoted by:

∪ ∈ ∩ ⊂

Question 35 of 50

A ∩ B contains:

Elements common to both All elements Elements of A only Elements of B only

Question 36 of 50

If A ∩ B = φ, then A and B are:

Equal Subsets Disjoint Universal

Question 37 of 50

φ ∩ A =

A φ U A′

Question 38 of 50

U ∩ A =

U φ A A′

Question 39 of 50

Difference A − B means:

Elements in B not in A Common elements Elements in A not in B All elements

Question 40 of 50

A − B and B − A are:

Always equal Generally unequal Always empty Always universal

Question 41 of 50

Complement of A is:

A ∩ U U − A A ∪ U φ

Question 42 of 50

Complement is denoted by:

A° A* A′ A+

Question 43 of 50

(A′)′ =

φ U A A ∪ U

Question 44 of 50

A ∪ A′ =

φ U A A′

Question 45 of 50

A ∩ A′ =

φ U A A′

Question 46 of 50

De Morgan's Law is:

(A ∪ B)′ = A′ ∩ B′ (A ∩ B)′ = A′ ∪ B′ Both A and B None

Question 47 of 50

Complement of universal set U is:

U A φ A′

Question 48 of 50

Complement of empty set is:

φ U A R

Question 49 of 50

Which operation is commutative?

Union Intersection Both Union and Intersection Difference

Question 50 of 50

If A ∪ B = A ∩ B, then:

A ⊂ B B ⊂ A A = B A and B are disjoint

Prepare for CBSE Class 11 Mathematics Chapter “Sets” with these 50 important MCQs with answers and explanations. These questions are based on the NCERT syllabus and are useful for school exams, unit tests, half-yearly exams, annual exams, and competitive exam preparation.

Sets Class 11 MCQs with Answers

Sets Class 11 MCQs with Answers PDF | 50 Important Questions for CBSE

sets-class-11-mcqs-with-answers

Download and practice 50 important MCQs on Sets for Class 11 Mathematics. Includes answers, explanations, NCERT-based questions, and exam-oriented objective questions for CBSE students.

FAQ
Q1. What is a set in Mathematics?

A set is a well-defined collection of distinct objects, numbers, or elements.

Q2. Who is known as the founder of Set Theory?

Georg Cantor is known as the founder of Set Theory.

Q3. What is the symbol for union of sets?

The symbol ∪ denotes the union of sets.

Q4. What is the symbol for intersection of sets?

The symbol ∩ denotes the intersection of sets.

Q5. What is an empty set?

A set containing no elements is called an empty set or null set and is denoted by φ.

Q6. Why are MCQs on Sets important for Class 11?

MCQs help students revise concepts quickly and prepare effectively for CBSE school exams and competitive examinations.

Q7. Are these Sets MCQs based on NCERT?

Yes, all questions are prepared according to the NCERT Class 11 Mathematics Chapter “Sets”.

Q8. Which topics are covered in these MCQs?

Topics include sets, subsets, equal sets, union, intersection, complement, difference, intervals, and De Morgan’s laws.

Q9. Can these MCQs help in board exam preparation?

Yes, these objective questions strengthen conceptual understanding and improve exam performance.

Q10. How many MCQs are included in this set?

This collection contains 50 important MCQs with answers and explanations.

2 thoughts on “Sets Class 11 MCQs with Answers | Important 50 Multiple Choice Questions (NCERT Mathematics)”

Reeshu singh

July 21, 2026 at 7:28 am

“Great collection of Class 11 Sets MCQs! The questions are well-structured and perfect for quick revision. Keep up the good work, sir 💫!”
Reeshu singh

July 21, 2026 at 7:28 am

Great collection of Class 11 Sets MCQs! The questions are well-structured and perfect for quick revision. Keep up the good work, sir 💫