Class 11 Maths Sets MCQs – 50 Practice Questions (NCERT Ch 1)

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Maths — SETS

50 Questions Class 11 MCQs

Which of the following represents a well-defined set? (Exam: CBSE Class XI)

a a. Set of all beautiful flowers b b. Set of all tall students c c. Set of all even natural numbers less than 10 d d. Set of all good books

If \(A = \{1,2,3\}\), then the number of elements in \(A\) is: (Exam: CBSE Class XI)

a a. 1 b b. 2 c c. 3 d d. 4

Which of the following is an empty set? (Exam: CBSE Class XI)

a a. \(\{x : x \in \mathbb{N}, x < 0\}\) b b. \(\{0\}\) c c. \(\{\}\) d d. Both a) and c)

If \(A = \{a,e,i,o,u\}\), then \(A\) is a subset of: (Exam: CBSE Class XI)

a a. Set of consonants b b. Set of alphabets c c. Set of natural numbers d d. Set of integers

Which statement is always true? (Exam: CBSE Class XI)

a a. \(A \subset A\) b b. \(A \subset \varnothing\) c c. \(\varnothing \subset A\) for every non-empty \(A\) d d. \(A = \varnothing\)

If \(A = \{1,2\}\), how many subsets does \(A\) have? (Exam: CBSE Class XI)

a a. 2 b b. 3 c c. 4 d d. 5

If \(A = \{1,2,3\}\) and \(B = \{3,4\}\), then \(A \cap B\) is: (Exam: CBSE Class XI)

a a. \(\{1,2\}\) b b. \(\{3\}\) c c. \(\{4\}\) d d. \(\{1,2,3,4\}\)

If \(A = \{1,2\}\) and \(B = \{3,4\}\), then \(A \cup B\) is: (Exam: CBSE Class XI)

a a. \(\{1,2\}\) b b. \(\{3,4\}\) c c. \(\{1,2,3,4\}\) d d. \(\varnothing\)

Which of the following is true? (Exam: CBSE Class XI)

a a. \(A \cap A = \varnothing\) b b. \(A \cup A = A\) c c. \(A \cap \varnothing = A\) d d. \(A \cup \varnothing = \varnothing\)

If \(U\) is the universal set and \(A \subset U\), then \(A \cup U =\): (Exam: CBSE Class XI)

a a. \(A\) b b. \(\varnothing\) c c. \(U\) d d. \(A'\)

The complement of the universal set \(U\) is: (Exam: CBSE Class XI)

a a. \(U\) b b. \(\varnothing\) c c. \(\{0\}\) d d. Not defined

If \(A' = \varnothing\), then \(A =\): (Exam: CBSE Class XI)

a a. \(\varnothing\) b b. \(U\) c c. A singleton set d d. Cannot be determined

If \(A \subset B\), then \(A \cap B =\): (Exam: CBSE Class XI)

a a. \(A\) b b. \(B\) c c. \(\varnothing\) d d. \(U\)

If \(A \subset B\), then \(A \cup B =\): (Exam: CBSE Class XI)

a a. \(A\) b b. \(B\) c c. \(\varnothing\) d d. \(U\)

Which law is expressed by \(A \cup (B \cap C) = (A \cup B) \cap (A \cup C)\)? (Exam: CBSE Class XI)

a a. Commutative law b b. Associative law c c. Distributive law d d. De Morgan’s law

Which law is given by \((A \cup B)' = A' \cap B'\)? (Exam: CBSE Class XI)

a a. Idempotent law b b. De Morgan’s law c c. Absorption law d d. Complement law

If \(n(A)=10\), then the number of proper subsets of \(A\) is: (Exam: CBSE Class XI)

a a. \(2^{10}\) b b. \(2^{10}-1\) c c. \(2^{9}\) d d. \(10\)

If \(A = \{x : x^2 = 1\}\), then \(A\) is: (Exam: CBSE Class XI)

a a. \(\{1\}\) b b. \{-1\} c c. \(\{1,-1\}\) d d. \(\varnothing\)

Which of the following sets are equal? (Exam: CBSE Class XI)

a a. \(\{1,2,3\}\) and \(\{3,2,1\}\) b b. \(\{1,2\}\) and \(\{1,2,3\}\) c c. \(\{a,b\}\) and \(\{a,c\}\) d d. \(\{1\}\) and \(\{1,1\}\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), then \(A - B\) is: (Exam: CBSE Class XI)

a a. \(\{3,4\}\) b b. \(\{1,2\}\) c c. \(\{5,6\}\) d d. \(\{1,2,5,6\}\)

If \(A \cap B = \varnothing\), then sets \(A\) and \(B\) are called: (Exam: CBSE Class XI)

a a. Equal sets b b. Universal sets c c. Disjoint sets d d. Complementary sets

If \(n(A)=5\) and \(n(B)=7\) and \(A\cap B=\varnothing\), then \(n(A\cup B)\) is: (Exam: CBSE Class XI)

a a. 12 b b. 35 c c. 2 d d. 7

If \(A = \{x : x \in \mathbb{Z}, -2 \le x \le 2\}\), then \(n(A)\) is: (Exam: CBSE Class XI)

a a. 3 b b. 4 c c. 5 d d. 6

Which of the following is true? (Exam: CBSE Class XI)

a a. \(A \cap U = \varnothing\) b b. \(A \cup U = U\) c c. \(A \cap \varnothing = A\) d d. \(A' \cap A = A\)

The power set of a set with 3 elements has: (Exam: CBSE Class XI)

a a. 3 elements b b. 6 elements c c. 8 elements d d. 9 elements

If \(A\subset B\) and \(B\subset A\), then: (Exam: CBSE Class XI)

a a. \(A=\varnothing\) b b. \(B=\varnothing\) c c. \(A=B\) d d. \(A\cap B=\varnothing\)

If \(A = \{1,2,3\}\), then \(A' \cup A\) equals: (Exam: CBSE Class XI)

a a. \(A\) b b. \(A'\) c c. \(U\) d d. \(\varnothing\)

Which identity is \(A \cap (A \cup B) = A\)? (Exam: CBSE Class XI)

a a. Complement law b b. Distributive law c c. Absorption law d d. Idempotent law

If \(n(A)=20\) and \(n(A')=15\), then \(n(U)\) is: (Exam: CBSE Class XI)

a a. 5 b b. 20 c c. 15 d d. 35

Which of the following represents De Morgan’s second law? (Exam: CBSE Class XI)

a a. \((A\cup B)' = A'\cap B'\) b b. \((A\cap B)' = A'\cup B'\) c c. \(A\cup A' = U\) d d. \(A\cap A' = \varnothing\)

If \(A=\{x:x\in\mathbb{N}, x\le5\}\), then \(A'\) contains: (Exam: JEE Main)

a a. Only negative integers b b. Natural numbers greater than 5 c c. All integers d d. Empty set

If \(n(A\cup B)=15\), \(n(A)=8\), \(n(B)=9\), then \(n(A\cap B)\) is: (Exam: JEE Main)

a a. 1 b b. 2 c c. 3 d d. 4

If \(A\cap B=A\), then: (Exam: JEE Main)

a a. \(A\subset B\) b b. \(B\subset A\) c c. \(A=B\) d d. \(A=\varnothing\)

If \(A\cup B=B\), then: (Exam: JEE Main)

a a. \(A\subset B\) b b. \(B\subset A\) c c. \(A=B\) d d. \(A=\varnothing\)

Number of elements in the power set of the power set of a set with 2 elements is: (Exam: JEE Main)

a a. 2 b b. 4 c c. 8 d d. 16

If \(A=\{1,2,3\}\), number of relations from \(A\) to \(A\) is: (Exam: JEE Main)

a a. \(2^3\) b b. \(2^6\) c c. \(2^9\) d d. \(3^3\)

If \(A\) has \(n\) elements, number of symmetric relations on \(A\) is: (Exam: JEE Advanced)

a a. \(2^n\) b b. \(2^{n^2}\) c c. \(2^{n(n+1)/2}\) d d. \(2^{n(n-1)/2}\)

If \(A=\{1,2\}\), number of equivalence relations on \(A\) is: (Exam: JEE Advanced)

a a. 1 b b. 2 c c. 3 d d. 4

If \(A\subseteq B\subseteq C\), then: (Exam: JEE Main)

a a. \(A\subseteq C\) b b. \(C\subseteq A\) c c. \(A=C\) d d. \(B=\varnothing\)

If \(A\cap B=\varnothing\) and \(A\cup B=U\), then: (Exam: JEE Main)

a a. \(A=B\) b b. \(A=B'\) c c. \(A=\varnothing\) d d. \(B=\varnothing\)

If \(A\) has 5 elements, number of subsets containing exactly 3 elements is: (Exam: JEE Main)

a a. 5 b b. 10 c c. 15 d d. 20

If \(A=\{1,2,3,4\}\), number of subsets containing 1 and 2 but not 3 is: (Exam: JEE Main)

a a. 1 b b. 2 c c. 3 d d. 4

If \(n(A)=n(B)=n(A\cup B)\), then: (Exam: JEE Main)

a a. \(A=B\) b b. \(A\cap B=\varnothing\) c c. \(A\subset B\) d d. \(B\subset A\)

If \(A\subset U\), then \(A\cap A'=\): (Exam: JEE Main)

a a. \(A\) b b. \(A'\) c c. \(U\) d d. \(\varnothing\)

If \(A=\{x:x^2<9, x\in\mathbb{Z}\}\), then \(n(A)\) is: (Exam: JEE Main)

a a. 3 b b. 4 c c. 5 d d. 6

If \(A\cup B=A\), then \(B\) is: (Exam: JEE Main)

a a. A superset of \(A\) b b. A subset of \(A\) c c. Disjoint from \(A\) d d. Equal to \(U\)

If \(A\cap B=B\), then: (Exam: JEE Main)

a a. \(A\subset B\) b b. \(B\subset A\) c c. \(A=B\) d d. \(B=\varnothing\)

If \(A\) has 4 elements, number of proper subsets is: (Exam: JEE Main)

a a. 15 b b. 16 c c. 8 d d. 4

If \(A=\{1,2,3\}\), number of subsets having odd number of elements is: (Exam: JEE Advanced)

a a. 3 b b. 4 c c. 5 d d. 6

If \(A\) is finite and \(A\subseteq B\subseteq A\), then \(B\) equals: (Exam: JEE Advanced)

a a. \(\varnothing\) b b. \(A\) c c. \(U\) d d. Cannot be determined

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Class 11 Maths Sets MCQs – 50 Practice Questions (NCERT Ch 1)

Class 11 Maths Sets MCQs – 50 Practice Questions (NCERT Ch 1) — Complete Notes & Solutions · academia-aeternum.com

The chapter “Sets” forms the logical foundation of higher mathematics and plays a decisive role in shaping analytical thinking at the senior secondary level. For students of NCERT Class XI, a clear grasp of set notation, operations, laws, and applications is essential not only for school examinations but also for competitive engineering and medical entrance tests. The following 50 Multiple Choice Questions (MCQs) have been carefully designed to strengthen conceptual clarity and progressive…

🎓 Class 11 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE

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Sets

MCQ Bank Snapshot

Why Practise These MCQs?

Topic-wise MCQ Breakdown

Must-Know Formulae Before You Start

MCQ Solving Strategy

⚠ Common Traps & Errors

Difficulty Ladder

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Maths — SETS

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Sets

MCQ Bank Snapshot

Why Practise These MCQs?

Topic-wise MCQ Breakdown

Must-Know Formulae Before You Start

MCQ Solving Strategy

⚠ Common Traps & Errors

Difficulty Ladder

Continue Your Preparation

Maths — SETS

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