### Multiple Choice Questions (MCQ) On Mathematics

MCQ in Mathematics  For IX, X, XI and XII Classes Multiple Choice Questions (MCQ) in Mathematics for 9th, 10th, 11th and 12th standard and case study based questions with answers. Chapter-wise important MCQ in mathematics. Multiple Choice Questions (MCQ)  in Mathematics For Class 09 Mathematics MCQ Class 09   Case Study Based Questions Class 09 : Mathematics   Mathematics MCQ  (Chapter -1) Class 09 : Real Numbers Mathematics MCQ  (Chapter -2) Class 09 : Polynomials Mathematics MCQ (Chapter - 4) Class 09 : Linear Equations in Two Variables Mathematics MCQ (Chapter -6) Class 09 : Lines & Angles Mathematics MCQ (Chapter -7) Class 09 : Triangles Mathematics MCQ (Chapter -8) Class 09 : Quadrilaterals Mathematics MCQ (Chapter -10) Class 09 : Circle Mathematics MCQ (Chapter - 13) Class 09 : Surface Area & Volume Mathematics MCQ (Chapter - 14) Class 09 : Statistics Mathematics MCQ (Chapter - 15) Class 09 : Probability Multiple Choice Questi

### Multiple Choice Questions (MCQ)MCQ | Class 11 | Chapter 1SET THEORY

• MCQ Based on the different types of sets
• MCQ  Based on the Union and Intersection of sets.
• MCQ Based on the Complement of sets .
• MCQ Based on Properties of Union, Intersection and Complement of sets.
• MCQ Based on the Application of sets and Venn diagram.

### Features

• In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations.
• Solution Hints are also given to some difficult problems.
• Each MCQ contains four options from which one option is correct.
• On the right hand side column of the pdf Answer option is given.

### Action Plan

• First of all students should Learn and write all basic points and Formulas related to the Continuity and Differentiability.
• Start solving  the NCERT Problems with examples.
• Solve the important assignments on the Set Theory Chapter 1 Class XI.
• Then start solving the following MCQ.

# MCQ | CHAPTER 1 | CLASS 11SET - THEORY

Q 1) A set is a
a) A group of object
b) A collection of object
c) Collection of objects with a common fixed property.
d) A well defined collection of objects
Ans: d

Q 2) If A, B and C are any three sets, then A – (B ∪ C) is equal to
(a) (A – B) ∪ (A – C)
(b) (A – B) ∪ C
(c) (A – B) ∩ C
(d) (A – B) ∩ (A – C)
Ans: d

Q 3) A set is known by its
a) Elements
b) values
c) Members
d) Letters
Ans: a

Q 4) (A’)’ = ?
(a) ∪ – A
(b) A
(c) ∪
(d) A’
Ans: b

Q 5) There are 230 students. 80 play football, 42 play soccer and 12 play rugby. 32 play exactly 2 sports and 4 play all three. How many students play none?
a) 132
b) 136
c) 140
d) 94
Ans: b

Q 6) In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person like at least one of the two drinks. How many like both coffee and tea?
a) 30
b) 15
c) 14
d) 9
Ans: d

Q 7) IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to
(a) [5, 6, 7, 8, 9]
(b) [5, 6, 7]
(c) [7, 8, 9]
(d) None of these
Ans: a

Q 8) The members of the set S = {x | x is the square of an integer and x < 100} is
(a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
(b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
(c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
(d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
Ans: b

Q 9) Number of subsets of a set of order three is
a) 3
b) 6
c) 8
d) 9
Ans: c

Q 10) If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then,
(a) B = C
(b) A = C
(c) A = B = C
(d) A = B
Ans: a

Q 11) Order of the power set of a set of order n is
a) n
b) 2n
c) n2
d) 2n
Ans: b

Q 12) Empty set is a?
(a) Infinite Set
(b) Invalid Set
(c) None of the above
(d) Finite Set
Ans: d

Q 13) The number of elements in the power set of the set {{a, b}, c} is
a) 8
b) 4
c) 3
d) 7
Ans: b

Q 14) Which of the following two sets are equal?
(a) A = {1, 2} and B = {1}
(b) A = {1, 2} and B = {1, 2, 3}
(c) A = {1, 2, 3} and B = {2, 1, 3}
(d) A = {1, 2, 4} and B = {1, 2, 3}
Ans: c

Q 15) If A and B are two sets such that n(A) = 70, n(B) = 60 and n(A U B) = 110, then n(A ⋂ B) = ?
a) 240
b) 50
c) 40
d) 20
Ans: d

Q 16) In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science.
(a) 24
(b) 25
(c) 26
(d) 27
Ans: d

Q 17) In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Times of India?
a) 200
b) 400
c) 600
d) 700
Ans: b

Q 18) Which of the following sets are null sets?
a) {0}
b) Ø
c) { }
d) Both (b) & (c)
Ans: d

Q 19) If the number of elements in a set S are 5. Then find the number of elements of the power set P(S) are ?
a) 5
b) 6
c) 16
d) 32
Ans: d
Explanation Number of elements in the power set P(S) = 25 = 32

Q 20) Every set is ___________ of itself
a) Proper subset
b) Improper Subset
c) Compliment
d) None of these
Ans: b

Q 21) The number of non empty subsets of {a, b, c, d} is
a) 3
b) 4
c) 15
d) 16
Ans: c

Q 22) The smallest set A such that A U{1, 2} = { 1, 2, 3, 5, 9} is
a) {3, 5, 9}
b) {2, 3, 5)
c) {1, 2, 5, 9}
d) None of these
Ans: a

Q 23) If A = {5, 6, 7} and {7, 8, 9} then A U B is equal to
a) {5, 6, 7}
b) {5, 6, 7, 8, 9}
c) {7, 8, 9}
d) None of these
Ans: b

Q 24) How many rational and irrational numbers are possible between 0 and 1 ?
a) 0
b) Finite
c) Infinite
d) 1
Ans: c

Q 25) If A = {1, 3, 5, B} and B = {2, 4}, then which of the following is true
a) {1, 2} ⊂ A
b) {2, 4} ⊂ A
c) B ⊂ A
d) None of these
Ans: d
Q 26)  If A ={ 1, 2, 3, 4, 5}, then number of proper subsets of A is
a) 120
b) 30
c) 31
d) 32
Ans: c

Q 27) A and B are two sets such that n(A) = 16, n(B) = 14, n(A⋃B) = 25, Then A⋂B is
a) 30
b) 50
c) 5
d) None of these
Ans: c

Q 28) If A and B are two sets in the same universal set. Then A – B =
a) A⋂B
b) A'⋂B
c) A⋂B'
d) None of these
Ans: c

Q 29) n(A) = 20, n(A⋃B) = 42 and n(A⋂B) = 4, then n(B - A) =
a) 22
b) 26
c) 16
d) None of these
Ans: a

Q 30) For any sets A and B : (A⋂B) ⋂ (A - B)
a) A⋂B
b) A - B
c) B
d) A
Ans: d

Q 31) If set A is equal to set B then
a) A ⊂ B
b) B ⊂ A
c) A ⊂ B and B ⊂ A
d) neither A ⊂ B nor B ⊂A
Ans: c

Q 32) Let A= {2, 3, 5} and B = {3, 5, 7}. Which of the following is true?
a) A ⊂ B
b) B ⊂ A
c) A = B
d) A ⊂ A
Ans: d

Q 33) Let X be set of rational numbers. Which of the following is superset of X?
a) Set of real numbers
b) Set of natural numbers
c) Set of whole numbers
d) Set of integers
Ans: a

Q 34) Let A = {1, 2, {3, 4}, 5}. Which of the following is not true?
a) {3, 4} ⊂ A
b) {3, 4} ∈ A
c) {{3, 4}} ⊂ A
d) {1, 2, 5} ⊂ A
Ans: a

Q 35) The total number of subsets of a finite set containing n elements is?
a) 2n+1
b) 2n
c) 2n
d) N
Ans: c

Q 36) If set A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. Find B - A.
a) {1, 2, 3, 4, 5, 6}
b) {3, 4}
c) {1, 2}
d) {5, 6}
Ans: d

Q 37) If set A has 10 elements, set B has 20 elements, 5 elements are common to both then find the number of elements in X∪Y.
a) 10
b) 15
c) 20
d) 25
Ans: d

Q 38) In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read both newspapers?
a) 100
b) 300
c) 1000
d) 1300
Ans: b

Q 39) In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like both tea and coffee?
a) 1
b) 2
c) 7
d) 9
Ans: b

Q 40) In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Hindustan Times?
a) 100
b) 200
c) 300
d) 600
Ans: c

Q 41) Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A U B.
a. 9
b. 18
c. 3
d. 6
Ans: d

Q 42) Let the set A = {x : x is a letter in the word "INTELLIGENT"}, then the number of subsets of A is:
a) 211
b) 211 - 1
c) 64
d) 63
Ans: d

Q 43) A null set is denoted by :
a) {x : x = x}
b) Φ
c) {x : x ≠ x}
d) {0}

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1. Excellent work