# MCQ Questions Chapter 1 Sets Class 11 Mathematics

Please refer to MCQ Questions Chapter 1 Sets Class 11 Mathematics with answers provided below. These multiple-choice questions have been developed based on the latest NCERT book for class 11 Mathematics issued for the current academic year. We have provided MCQ Questions for Class 11 Mathematics for all chapters on our website. Students should learn the objective based questions for Chapter 1 Sets in Class 11 Mathematics provided below to get more marks in exams.

## Chapter 1 Sets MCQ Questions

Please refer to the following Chapter 1 Sets MCQ Questions Class 11 Mathematics with solutions for all important topics in the chapter.

MCQ Questions Answers for Chapter 1 Sets Class 11 Mathematics

Question. The set of real numbers {x : a < x < b} is called
(a) open interval
(b) closed interval
(c) semi-open interval
(d) semi-closed interval

A

Question. A market research group conducted a survey of 1000 consumers and reported that 720  consumers liked product A and 450 consumers liked product B. What is the least number that must have liked both products ?
(a) 170
(b) 280
(c) 220
(d) None

A

Question. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are:
(a) 7, 6
(b) 6, 3
(c) 5, 1
(d) 8, 7

B

Question. The cardinality of the set P{P[P(Φ)]} is
(a) 0
(b) 1
(c) 2
(d) 4

D

Question. If A and B are sets, then A ∩ (B – A) is
(a) Φ
(b) A
(c) B
(d) None of these

A

Question. Let X = {Ram, Geeta, Akbar} be the set of students of Class XI, who are in school hockey team and Y = {Geeta, David, Ashok} be the set of students from Class XI, who are in the school football team. Then, X ∩ Y is
(a) {Ram, Geeta}
(b) {Ram}
(c) {Geeta}
(d) None of these

C

Question. Which of the following is correct?
(a) A ∪ B = A ∪ A’
(b) (A ∩ B)’ = A’∪ B’
(c) (A’ ∪ B’) = A’∪ A
(d) (A ∩ B)’ = A’∩ B’

B

Question. In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs. The minimum value of x is
(a) 10
(b) 12
(c) 15
(d) None of these

A

Question. If A and B are two given sets, then A ∩ (A ∩ B)c is equal to
(a) A
(b) B
(c) Φ
(d) A ∩ Bc

D

Question. The shaded region in the given figure is

(a) B ∩ (A ∪ C)
(b) B ∪ (A ∩ C)
(c) B ∩ (A – C)
(d) B – (A ∪ C)

D

Question. The interval [a, b) is represented on the number line as

B

Question. Which of the following is a null set ?
(a) {0}
(b) {x : x > 0 or x < 0}
(c) {x : x 2 = 4 or x = 3}
(d) {x : x 2 + 1 = 0, x ∈ R}

D

Question. Which of the following properties are associative law ?
(a) A∪B = B∪ A
(b) A∪C = C∪ A
(c) A∪D = D∪ A
(d) (A∪B)∪C = A∪(B∪C)

D

Question. In a school, there are 20 teachers who teach Mathematics or Physics of these, 12 teach Mathematics and 4 teach both Maths and Physics. Then the number of teachers teaching only Physics are
(a) 4
(b) 8
(c) 12
(d) 16

B

Question. Which of the following represent the union of two sets A and B?

C

Question. The set {x : x is an even prime number} can be written as
(a) {2}
(b) {2, 4}
(c) {2,14}
(d) {2, 4, 14}

A

Question. The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is
(a) {2, 3, 5}
(b) {3, 5, 9}
(c) {1, 2, 5, 9}
(d) None of these

B

Question. Which one is different from the others ?
(i) empty set
(ii) void set
(iii) zero set
(iv) null set :
(a) (i)
(b) (ii)
(c) (iii)
(d) (iv)

C

Question. Match the following sets in column -I equal with the sets in column-II.

Codes :
A B C D
(a) 4 2 1 3
(b) 1 3 4 2
(c) 1 2 3 4
(d) 4 3 1 2

D

Question. Let A = {x : x is a multiple of 3} and
B = { x : x is a multiple of 5}. Then A B is given by:
(a) {15, 30, 45,…}
(b) {3, 6, 9,…}
(c) {15, 10, 15, 20…}
(d) {5, 10, 20,…}

A

Question. Which of the following is a singleton set?
(a) {x : |x| = 5, x ∈ N}
(b) {x : |x| = 6, x ∈ Z}
(c) {x : x2 + 2x + 1 = 0, x ∈ N}
(d) {x : x2 = 7, x ∈ N}

A

Question. If B = {x : x is a student presently studying in both classes X and XI}. Then, the number of elements in set B are
(a) finite
(b) infinite
(c) zero
(d) None of these

C

Question. The set of intelligent students in a class is :
(a) a null set
(b) a singleton set
(c) a finite set
(d) not a well defined collection

D

Question. If U = {1, 2, 3, 4, ….., 10} is the universal set of A, B and A = {2, 4, 6, 8, 10}, B = {4, 6} are subsets of U, then given sets can be represented by Venn diagram as

D

Question. If n(A) = 3, n(B) = 6 and A ⊆ B. Then, the number of elements in A ∪ B is equal to
(a) 3
(b) 9
(c) 6
(d) None of these

C

Question. If A = {(x, y) : x2 + y2 = 25} and B = {(x, y) : x2 + 9y2 = 144} then the number of points, A ∩ B contains is
(a) 1
(b) 2
(c) 3
(d) 4

D

Question. If A and B are two sets, then A ∩ (A ∪ B)’ is equal to
(a) A
(b) B
(c) Φ
(d) None of these

C

Question. If aN = {ax: x ∈ N} , then the set 3N ∩ 7N is
(a) 21 N
(b) 10 N
(c) 4 N
(d) None

A

Question. Let V = {a, e, i, o, u}, V – B = {e, o} and B – V = {k}. Then, the set B is
(a) {a, i, u}
(b) {a, e, k, u}
(c) {a, i, k, u}
(d) {a, e, i, k, u}

C

Question. If the sets A and B are as follows :
A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, then
(a) A – B = {1, 2}
(b) B – A = {5}
(c) [(A – B) – (B – A)] ∩ A = {1, 2}
(d) [(A – B) – (B – A)] ∪ A = {3, 4}

A

Question. Which of the following collections are sets ?
(a) The collection of all the days of a week
(b) A collection of 11 best hockey player of India.
(c) The collection of all rich person of Delhi
(d) A collection of most dangerous animals of India.

A

Question. Match the following sets in column -I equal with the sets in column-II.

Codes:
A B C D E F G
(a) 1 2 3 4 5 3 2
(b) 3 4 1 2 3 4 5
(c) 4 3 2 1 4 5 3
(d) 5 4 3 2 1 4 1

B

Question. Most of the relationships between sets can be represented by means of diagrams which are known as
(a) rectangles
(b) circles
(c) Venn diagrams
(d) triangles

C

Question. Let V = {a, e, i, o, u} and B = {a, i, k, u}. Value of V – B and B – V are respectively
(a) {e, o} and {k}
(b) {e} and {k}
(c) {o} and {k}
(d) {e, o} and {k, i}

A

Question. There are 600 student in a school. If 400 of them can speak Telugu, 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:
(a) 100
(b) 200
(c) 300
(d) 400

A

Question. Which of the following is true?
(a) a ∈ {{a}, b}
(b) {b, c} ⊂ {a, {b, c}}
(c) {a, b} ⊂ {a, {b, c}}
(d) None of these

D

Question. A = {x : x ≠ x} represents
(a) {x}
(b) {1}
(c) { }
(d) {0}

C

Question. Which of the following represent A – B?
(a) {x : x ∈ A and x ∈ B}
(b) {x : x ∈ A and x ∉ B}
(c) {x : x ∈ A or x ∈ B}
(d) {x : x ∈ A or x ∉ B}

B

Question. If A = {1, 2, 3, 4}, B = {2, 3, 5, 6} and C = {3, 4, 6, 7}, then
(a) A – (B ∩ C) = {1, 3, 4}
(b) A – (B ∩ C) = {1, 2, 4}
(c) A – (B ∪ C) = {2, 3}
(d) A – (B ∪ C) = {Φ}

B

Question. The number of elements in P[P(P(Φ))] is
(a) 2
(b) 3
(c) 4
(d) 5

C

Question. In a group of 500 students, there are 475 students who can speak Hindi and 200 can speak Bengali. What is the number of students who can speak Hindi only ?
(a) 275
(b) 300
(c) 325
(d) 350

B

Question. If A∪B ≠ Φ, then n(A∪B) = ?
(a) n(A) + n(B) – n(A∩B)
(b) n(A) – n(B) + n(A∩B)
(c) n(A) – n(B) – n(A∩ B)
(d) n(A) + n(B) + n(A∩ B)

A

Question. Which of the following has only one subset?
(a) { }
(b) {4}
(c) {4, 5}
(d) {0}

A

STATEMENT TYPE QUESTIONS

Question. Let A = {1, 3, 5} and B = {x : x is an odd natural number less than 6}. Then, which of the following are true?
I. A ⊂ B
II. B ⊂ A
III. A = B IV. A ∉ B
(a) I and II are true
(b) I and III are true
(c) I, II and III are true
(d) I, II and IV are true

C

Question. Let P be a set of squares, Q be set of parallelograms, R be a set of quadrilaterals and S be a set of rectangles. Consider the following :
I. P ⊂ Q
II. R ⊂ P
III. P ⊂ S
IV. S ⊂ R
Which of the above are correct?
(a) I, II and III
(b) I, III and IV
(c) I, II and IV
(d) III and IV

B

Question. Consider the following relations :
I. A = (A ∩ B) ∪ (A – B)
II. A – B = A – (A ∩ B)
III. A – (B ∪ C) = (A – B) ∪ (A – C)
Which of these is correct?
(a) I and III
(b) I and II
(c) Only II
(d) II and III

B

Question. Consider the following statements.
I. Let A and B be any two sets. The union of A and B is the set containing the elements of A and B both.
II. The intersection of two sets A and B is the set which consists of common elements of A and B.
Which of the statement is correct?
(a) Only statement-I is true.
(b) Only statement-II is true.
(c) Both statements are true.
(d) Neither I nor II are true.

C

Question. Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then, which of the following may be considered as universal set(s) for all the three sets A, B and C?
I. {0, 1, 2, 3, 4, 5, 6}
II. Φ
III. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
IV. {1, 2, 3, 4, 5, 6, 7, 8}
(a) Only I
(b) Only III
(c) I and III
(d) III and IV

B

Question. The set of all letters of the word ‘SCHOOL’ is represented by
I. {S, C, H, O, O, L}
II. {S, C, H, O, L}
III. {C, H, L, O, S}
IV. {S, C, H, L}
The correct code is
(a) I and II
(b) I, II and III
(c) II and III
(d) I, II, III and IV

C

Question. The empty set is represented by
I. Φ
II. {Φ}
III. { }
IV. {{ }}
(a) I and II
(b) I and III
(c) II and III
(d) I and IV