WhatsApp Group Join Now
Telegram Group (170K+) Join Now

SET THEORY CLASS 11 MCQ

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

SET THEORY CLASS 11 MCQ

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

Set is a well-defined collection of objects. The objects belonging to a set are called elements or members of the set. Sets are usually denoted by capital letters of English alphabets while the elements are denoted in general, by small letters.

 OPERATIONS ON SETS

1. UNION OF TWO SETS

The union of two sets A and B, written as A ∪ B (read as ‘A union B’), is the set consisting of all the elements which are either in A or in B or in both Thus,

A ∪ B = {x : x  ∈ A or x ∈ B}

SET THEORY CLASS 11 MCQ
SET THEORY CLASS 11 MCQ

For example, if A = {a, b, c, d} and B = {c, d, e, f}, then A  B = {a, b, c, d, e, f}

2. Intersection of Two sets

The intersection of two sets A and B, written as A B (read as ‘A’ intersection ‘B’) is the set consisting of all the common elements of A and B. Thus,

A B = {x : x ∈ A and x ∈ B}

Clearly, x ∈ A B → x ∈ A and x ∈ B, and x ∉  A B à x  ∉ A or x ∉ B.

SET THEORY CLASS 11 MCQ

For example, if A = {a, b, c, d) and B = {c, d, e, f}, then A B = {c, d}.

3. Disjoint Sets

Two sets A and B are said to be disjoint, if A B = ɸ , i.e. A and B have no element in common.

SET THEORY CLASS 11 MCQ

For example, if A = {1, 3, 5} and B = {2, 4, 6}, then A B = ɸ , so A and B are disjoint sets

4. Difference of Two Sets

If A and B are two sets, then their difference A – B is defined as :

A – B = {x : x ∈ A and x ∉  B}.

Similarly, B – A = {x : x ∈ B and x ∉ A }.

SET THEORY CLASS 11 MCQ

For example, if A = {1, 2, 3, 4, 5} and B = {1, 3, 5, 7, 9} then A – B = {2, 4} and B – A = {7, 9}.

Important Results

(a) A – B ≠ B – A

(b) The sets A – B , B – A and A B are disjoint sets

(c) A – B  ⊆ A and B – A ⊆ B

(d) A – ɸ = A and A – A = ɸ

5. Symmetric Difference of Two Sets

The symmetric difference of two sets A and B , denoted by A ∆ B, is defined as

A ∆ B = (A – B) ∪ (B – A).

For example, if A = {1, 2, 3, 4, 5} and B = {1, 3, 5, 7, 9} then A ∆

B = (A – B) ∪ (B – A) = {2, 4} ∪ {7, 9} = {2, 4, 7, 9}.

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

6. Complement of a Set

SET THEORY CLASS 11 MCQ

Important Results

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

ALGEBRA OF SETS

1. For any set A , we have

a) A ∪ A = A

b) A A = A

2. For any set A, we have

c) A ∪ ɸ = A

d) A = ɸ = ɸ

e) A ∪ U = U

f) A = A

3. For any two sets A and B, we have

g) A ∪ B = B ∪ A

h) A  B = B A

4. For any three sets A, B and C, we have

i) A ∪ (B ∪ C) = (A ∪ B) ∪ C

j) A (B C) = (A B) C

5. For any three sets A, B and C, we have

k) A ∪ (B C) = (A ∪ B)   (A ∪ C)

l) A (B ∪ C) = (A B) ∪ (A C)

SET THEORY CLASS 11 MCQ
o) A – (B ∪ C) = (A – B) (A – C)
p) A – (B C) = (A – B) ∪ (A – C)
 

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

Table of Contents

SET THEORY CLASS 11 MCQ

1. 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, i}

(c)  {a, i, k, u}    

(d) (a, e, i, k, u}

SET THEORY CLASS 11 MCQ

3. If n(A) =8 and n (A

B) =2, then

SET THEORY CLASS 11 MCQ
is equal to

(a) 2

(b) 4 

(c) 6

(d) 8

4. If the set A contains 5 elements, then the number of elements in the power set P (A) is equal to

(a) 32

(b) 25

(c) 16

(d) 8

5. In a certain town 25% families own a cell phone, 15% families own a scooter own scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

(a) 10,000

(b) 20,000

(c) 30,000

(d) 40,000

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

SET THEORY CLASS 11 MCQ

(a) B – A = C – B

(b) A  B   C = B

(c) A ∪ B = B C

(d) A ∪ B ∪ C = A

SET THEORY CLASS 11 MCQ

(a) 6

(b) 9

(c) 8

(d) 10

8. Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then n (XY) =

(a) 4

(b) 6

(c) 8

(d) 12

SET THEORY CLASS 11 MCQ

(a) 2

(b) 4

(c) 8

(d) 12

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

11. A class has 175 students. The following data shows the number of students opting one or more subjects. Maths – 100, Physics – 70, chemistry – 40, maths and physics -30, maths and chemistry – 28 physics and Chemistry -23, Maths, Physics and Chemistry – 18. How many have offered Maths alone?

(a) 35

(b) 48

(c) 60

(d) 22

12. Which of the following is true?

SET THEORY CLASS 11 MCQ

13. From 50 students taking examinations in subjects A, B and C, 37 passed A, 24 passed B and 43 passed C. Atmost 19 passed A and B, atmost 29 passed A and C and atmost 20 passed B and C. The largest possible number that could have passed all the three examinations is

(a) 15

(b) 16

(c) 17

(d) none of these

14. For sets A and B, which is false?

SET THEORY CLASS 11 MCQ

(d) A ∪ B can never be equal to A B

15. Which of the following is a null set?

SET THEORY CLASS 11 MCQ

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

16. If ,then find which of the following statements are not true?

SET THEORY CLASS 11 MCQ

17. Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then

(a) A is always a subset of the complement of B.

(b) B is always a subset of A

(c) A and B are always disjoint

(d) A and the complement of B are always non-disjoint

SET THEORY CLASS 11 MCQ

19. If A and B are non-empty sets, then P(A) ∪ P(B) is equal to

(a) P( A∪ B )

(b) P( A B )

(c) ɸ

(d) None of these

20. Out of 800 boys in a school, 224 played Cricket, 240 played Hockey and 336 played Basketball. Of the total, 64 played both Basketball and Hockey, 80 played Cricket and Basketball, 40 played Cricket and Hockey; 24 played all the three games. The number of boys who did not play any game is

(a) 128

(b) 216

(c) 240

(d) 160

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

SET THEORY CLASS 11 MCQ
SET THEORY CLASS 11 MCQ
(d) none of these

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

SET THEORY CLASS 11 MCQ
SET THEORY CLASS 11 MCQ

30. If n(A) = 4 and n(B) =7, then the minimum and maximum values of n(A ∪ B ) are respectively

(a) 4, 11

(b) 4, 7

(c) 7, 11

(d) none of these

31. If n(A) = 43, n(B) = 51 and n( A ∪ B )= 75 then  = n( A – B ) ∪ ( B – A ))=

(a) 53

(b) 45

(c) 56

(d) 66

SET THEORY CLASS 11 MCQ

33. The shaded region in the figure represents

SET THEORY CLASS 11 MCQ

(a) A B

(b) A ∪ B

(c) B – A

(d) ( A – B ) ∪ ( B – A )

34. A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is

(a) 730

(b) 170

(c) 180

(d) 1270

SET THEORY CLASS 11 MCQ

(a) 2

(b) 3

(c) 4

(d) 6

SET THEORY CLASS 11 MCQ
SET THEORY CLASS 11 MCQ
SET THEORY CLASS 11 MCQ

45.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

SET THEORY CLASS 11 MCQ

(a) 16

(b) 12

(c) 8

(d) 4

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

ANSWERS:

1.C
2.D
3.C
4.A
5.C
6.C
7.C
8.D
9.B
10.C
11.C
12.C
13.D
14.D
15.A
16.A
17.D
18.D
19.D
20.D
21.D
22.B
23.B
24.C
25.A
26.D
27.C
28.C
29.A
30.C
31.C
32.A
33.D
34.B
35.D
36.C
37.C
38.C
39.B
40.B
41.C
42.B
43.B
44.B
45.D
46.C
47.A
48.A
49.C
50.B

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

ALSO VISIT :

Also study:Also study:Also study:Also study:Attempt the quiz on:
CBSE SAMPLE PAPER MATHEMATICS CLASS 12 TERM 2
Important Questions on Differential Equations (Maths) for +2 Class
Important/Previous Year Questions/ MCQs On Sets and Relations
Important Questions on Three Dimensional Geometry (Mathematics) for +2 Class
Important/Previous Year Questions/ MCQs On INDEFINITE INTEGRALS
Continuity
Important Questions on Functions
Important Questions on Continuity (Maths) for +2 Class
Important/Previous Year Questions/ MCQs On Derivatives
Important/Previous Year Questions/ MCQs On Continuity
Important/Previous Year Questions/ MCQs On Vector Algebra
Important/Previous Year Questions/ MCQs On DIFFERENTIABILITY INVERSE TRIGONOMETRIC FUNCTION
Important Questions on Matrices and Determinants (Maths) for +2 Class Important Questions on Three Dimensional Geometry (Maths) for +2 Class Important/Previous Year Questions/ MCQs On Matrices
Important/Previous Year Questions/ MCQs On Differential Equations
Important/Previous Year Questions/ MCQs On APPLICATION OF DERIVATIVES
Important Questions on Indefinite Integrals (Maths) for +2 Class
Important Questions on Vector Algebra (Mathematics) for +2 Class
Important/Previous Year Questions/ MCQs On Probability
Important/Previous Year Questions/ MCQs On Relations and Functions
Important/Previous Year Questions/ MCQs On Application of Integrals
Important/Previous Year Questions/ MCQs On DIFFERENTIATION

DOWNLOAD MOBILE APPLICATION TO LEARN MORE: SET THEORY CLASS 11 MCQ

Leave a Comment

Your email address will not be published. Required fields are marked *