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Welcome to the Sets and Functions MCQs Page

Dive deep into the fascinating world of Sets and Functions with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sets and Functions, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sets and Functions, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Sets and Functions. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Sets and Functions. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Sets and Functions MCQs | Page 5 of 15

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Q41.
Let A be set of all prime numbers, B be the set of all even prime numbers, C be the set of all odd prime numbers, then which of the following is true?

a.

A ≡ B U C

b.

B is a singleton set.

c.

A ≡ C U {2}

d.

All of the mentioned

Discuss
Answer: (d).All of the mentioned
Q42.
If A has 4 elements B has 8 elements then the minimum and maximum number of elements in A U B are ____________

a.

4, 8

b.

8, 12

c.

4, 12

d.

None of the mentioned

Discuss
Answer: (b).8, 12
Q43.
If A is {{Φ}, {Φ, {Φ}}}, then the power set of A has how many element?

a.

2

b.

4

c.

6

d.

8

Discuss
Answer: (b).4
Q44.
Two sets A and B contains a and b elements respectively. If power set of A contains 16 more elements than that of B, value of ‘b’ and ‘a’ are _______

a.

4, 5

b.

6, 7

c.

2, 3

d.

None of the mentioned

Discuss
Answer: (a).4, 5
Q45.
Let A be {1, 2, 3, 4}, U be set of all natural numbers, then U-A’(complement of A) is given by set.

a.

{1, 2, 3, 4, 5, 6, ….}

b.

{5, 6, 7, 8, 9, ……}

c.

{1, 2, 3, 4}

d.

All of the mentioned

Discuss
Answer: (c).{1, 2, 3, 4}
Q46.
Which sets are not empty?

a.

{x: x is a even prime greater than 3}

b.

{x : x is a multiple of 2 and is odd}

c.

{x: x is an even number and x+3 is even}

d.

{ x: x is a prime number less than 5 and is odd}

Discuss
Answer: (d).{ x: x is a prime number less than 5 and is odd}
Q47.
If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is?

a.

20

b.

30

c.

40

d.

10

Discuss
Answer: (d).10
Q48.
The relation between sets A, B, C as shown by venn diagram is __________

a.

A is subset of B and B is subset of C

b.

C is not a subset of A and A is subset of B

c.

C is subset of B and B is subset of A

d.

None of the mentioned

Discuss
Answer: (c).C is subset of B and B is subset of A
Q49.
Let A: All badminton player are good sportsperson.
B: All person who plays cricket are good sportsperson.

Let X denotes set of all badminton players, Y of all cricket players, Z of all good sportsperson. Then which of the following statements is correct?

a.

Z contains both X and Y

b.

Z contains X and Y is outside

c.

X contains Y and Z

d.

None of the mentioned

Discuss
Answer: (a).Z contains both X and Y
Q50.
If n(A)=10, n(B)=30,n(C)=50 and if set A, B, C are pairwise disjoint then which of the following is correct?

a.

n(A U B)=0

b.

n(B U C)=0

c.

n(A U B U C)=90

d.

All of the mentioned

Discuss
Answer: (d).All of the mentioned
Page 5 of 15

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