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Maths — SETS

50 Questions Class 11 MCQs
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1
Which of the following represents a well-defined set? (Exam: CBSE Class XI)
2
If \(A = \{1,2,3\}\), then the number of elements in \(A\) is: (Exam: CBSE Class XI)
3
Which of the following is an empty set? (Exam: CBSE Class XI)
4
If \(A = \{a,e,i,o,u\}\), then \(A\) is a subset of: (Exam: CBSE Class XI)
5
Which statement is always true? (Exam: CBSE Class XI)
6
If \(A = \{1,2\}\), how many subsets does \(A\) have? (Exam: CBSE Class XI)
7
If \(A = \{1,2,3\}\) and \(B = \{3,4\}\), then \(A \cap B\) is: (Exam: CBSE Class XI)
8
If \(A = \{1,2\}\) and \(B = \{3,4\}\), then \(A \cup B\) is: (Exam: CBSE Class XI)
9
Which of the following is true? (Exam: CBSE Class XI)
10
If \(U\) is the universal set and \(A \subset U\), then \(A \cup U =\): (Exam: CBSE Class XI)
11
The complement of the universal set \(U\) is: (Exam: CBSE Class XI)
12
If \(A' = \varnothing\), then \(A =\): (Exam: CBSE Class XI)
13
If \(A \subset B\), then \(A \cap B =\): (Exam: CBSE Class XI)
14
If \(A \subset B\), then \(A \cup B =\): (Exam: CBSE Class XI)
15
Which law is expressed by \(A \cup (B \cap C) = (A \cup B) \cap (A \cup C)\)? (Exam: CBSE Class XI)
16
Which law is given by \((A \cup B)' = A' \cap B'\)? (Exam: CBSE Class XI)
17
If \(n(A)=10\), then the number of proper subsets of \(A\) is: (Exam: CBSE Class XI)
18
If \(A = \{x : x^2 = 1\}\), then \(A\) is: (Exam: CBSE Class XI)
19
Which of the following sets are equal? (Exam: CBSE Class XI)
20
If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), then \(A - B\) is: (Exam: CBSE Class XI)
21
If \(A \cap B = \varnothing\), then sets \(A\) and \(B\) are called: (Exam: CBSE Class XI)
22
If \(n(A)=5\) and \(n(B)=7\) and \(A\cap B=\varnothing\), then \(n(A\cup B)\) is: (Exam: CBSE Class XI)
23
If \(A = \{x : x \in \mathbb{Z}, -2 \le x \le 2\}\), then \(n(A)\) is: (Exam: CBSE Class XI)
24
Which of the following is true? (Exam: CBSE Class XI)
25
The power set of a set with 3 elements has: (Exam: CBSE Class XI)
26
If \(A\subset B\) and \(B\subset A\), then: (Exam: CBSE Class XI)
27
If \(A = \{1,2,3\}\), then \(A' \cup A\) equals: (Exam: CBSE Class XI)
28
Which identity is \(A \cap (A \cup B) = A\)? (Exam: CBSE Class XI)
29
If \(n(A)=20\) and \(n(A')=15\), then \(n(U)\) is: (Exam: CBSE Class XI)
30
Which of the following represents De Morgan’s second law? (Exam: CBSE Class XI)
31
If \(A=\{x:x\in\mathbb{N}, x\le5\}\), then \(A'\) contains: (Exam: JEE Main)
32
If \(n(A\cup B)=15\), \(n(A)=8\), \(n(B)=9\), then \(n(A\cap B)\) is: (Exam: JEE Main)
33
If \(A\cap B=A\), then: (Exam: JEE Main)
34
If \(A\cup B=B\), then: (Exam: JEE Main)
35
Number of elements in the power set of the power set of a set with 2 elements is: (Exam: JEE Main)
36
If \(A=\{1,2,3\}\), number of relations from \(A\) to \(A\) is: (Exam: JEE Main)
37
If \(A\) has \(n\) elements, number of symmetric relations on \(A\) is: (Exam: JEE Advanced)
38
If \(A=\{1,2\}\), number of equivalence relations on \(A\) is: (Exam: JEE Advanced)
39
If \(A\subseteq B\subseteq C\), then: (Exam: JEE Main)
40
If \(A\cap B=\varnothing\) and \(A\cup B=U\), then: (Exam: JEE Main)
41
If \(A\) has 5 elements, number of subsets containing exactly 3 elements is: (Exam: JEE Main)
42
If \(A=\{1,2,3,4\}\), number of subsets containing 1 and 2 but not 3 is: (Exam: JEE Main)
43
If \(n(A)=n(B)=n(A\cup B)\), then: (Exam: JEE Main)
44
If \(A\subset U\), then \(A\cap A'=\): (Exam: JEE Main)
45
If \(A=\{x:x^2<9, x\in\mathbb{Z}\}\), then \(n(A)\) is: (Exam: JEE Main)
46
If \(A\cup B=A\), then \(B\) is: (Exam: JEE Main)
47
If \(A\cap B=B\), then: (Exam: JEE Main)
48
If \(A\) has 4 elements, number of proper subsets is: (Exam: JEE Main)
49
If \(A=\{1,2,3\}\), number of subsets having odd number of elements is: (Exam: JEE Advanced)
50
If \(A\) is finite and \(A\subseteq B\subseteq A\), then \(B\) equals: (Exam: JEE Advanced)

Frequently Asked Questions

A set is a well-defined collection of distinct objects called elements.

So that it is possible to clearly decide whether a given object belongs to the set or not.

The individual objects or members contained in a set are called its elements.

Sets are generally denoted by capital letters such as \(A,\, B,\, C\).

Elements are represented by small letters such as \(a, \,b,\, x\).

It means “belongs to” or “is an element of”.

It means “does not belong to” a given set.

A method of listing all elements of a set within curly braces.

A representation describing a set by a common property satisfied by its elements.

(\A = {2,4,6,8}\).

\(A = {x : x \text{ is an even natural number}}\).

A set containing no elements, denoted by \(\varnothing\).

Yes, there is only one empty set.

A set containing exactly one element.

A set with a definite number of elements.

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