Discrete Mathematics | Sets Introduction MCQs

Discrete Mathematics | Sets Introduction MCQs: This section contains multiple-choice questions and answers on Sets Introduction in Discrete Mathematics.
Submitted by Anushree Goswami, on October 30, 2022

1. As the name implies, a set is an orderly arrangement of ____ of similar types or classes.

  1. Arrays
  2. Objects
  3. Pointers
  4. Queues

Answer: B) Objects

Explanation:

As the name implies, a set is an orderly arrangement of objects of similar types or classes.


2. ____ of a set are the purposes of the set.

  1. Elements
  2. Members
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

Elements or members of a set are the purposes of the set.


3. Which of the following can be an object?

  1. Numbers
  2. Alphabets
  3. Names
  4. All of the above

Answer: D) All of the above

Explanation:

Numbers, Alphabets, Names, etc. can be an object.


4. What is the symbol of 'Element of'?

  1. ?
  2. $
  3. *

Answer: A) ∈

Explanation:

The symbol of 'Element of' is ∈.


5. In how many forms set form is represented?

  1. 1
  2. 2
  3. 3
  4. 4

Answer: B) 2

Explanation:

Set form can be represented in 2 forms.


6. Which of the following is a form in which a set is represented?

  1. Roster or tabular form
  2. Set Builder form
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

The following is a form in which the set is represented -

  1. Roster or tabular form
  2. Set Builder form

7. All the elements of the set are listed within braces ___ and are separated by commas in this form of representation.

  1. [ ]
  2. { }
  3. ( )
  4. < >

Answer: A) [ ]

Explanation:

All the elements of the set are listed within braces [ ] and are separated by commas in this form of representation


8. Using the ____ of representation, all the elements of a set have the same properties.

  1. Builder form
  2. Set form
  3. Set builder form
  4. None of the above

Answer: C) Set builder form

Explanation:

Using this form of representation, all the elements of a set have the same properties.


9. What does x ∈ A mean in a set?

  1. x belongs to A
  2. x is an element of set A
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

x ∈ A means x belongs to A or x is an element of set A.


10. What does x ∉ A mean in a set?

  1. x belongs to set A
  2. x does not belong to set A
  3. X is an element of set A
  4. None of the above

Answer: B) x does not belong to set A

Explanation:

x ∉ A means x does not belong to set A.


11. What does ∅ means in a set?

  1. Empty Set
  2. Universal Set
  3. Both a and b
  4. None of the above

Answer: A) Empty Set

Explanation:

∅ means Empty Set.


12. What does U mean in a set?

  1. Unique Set
  2. Universal Set
  3. Uniset
  4. None of the above

Answer: B) Universal Set

Explanation:

U means Universal Set.


13. What does I mean by a set?

  1. The set of all integers
  2. The set of all non-zero integers
  3. The set of all +ve integers
  4. None of the above

Answer: A) The set of all integers

Explanation:

I means the set of all integers.


14. What does Io mean in a set?

  1. The set of all integers.
  2. The set of all non-zero integers.
  3. The set of all +ve integers.
  4. None of the above

Answer: B) The set of all non-zero integers

Explanation:

Io means the set of all non-zero integers.


15. What does I+ mean in a set?

  1. The set of all integers.
  2. The set of all non-zero integers.
  3. The set of all +ve integers.
  4. None of the above

Answer: C) The set of all +ve integers

Explanation:

I+ means the set of all +ve integers.


16. What does C mean in a set?

  1. The set of all complex numbers.
  2. The set of all non-zero complex numbers.
  3. Both A and B
  4. None of the above

Answer: A) The set of all complex numbers

Explanation:

C means the set of all complex numbers in a set.


17. What does Co mean in a set?

  1. The set of all complex numbers.
  2. The set of all non-zero complex numbers.
  3. The set of all zero complex numbers.
  4. None of the above

Answer: B) The set of all non-zero complex numbers

Explanation:

Co means the set of all non-zero complex numbers.


18. What does Q mean in a set?

  1. The sets of rational numbers.
  2. The sets of non-zero rational numbers.
  3. The sets of +ve rational numbers.
  4. None of the above

Answer: A) The sets of rational numbers

Explanation:

Q means the sets of rational numbers.


19. What does Qo mean in a set?

  1. The sets of rational numbers.
  2. The sets of non-zero rational numbers.
  3. The sets of +ve rational numbers.
  4. None of the above

Answer: B) The sets of non-zero rational numbers

Explanation:

Qo means the sets of non-zero rational numbers.


20. What does Q+ mean in a set?

  1. The sets of rational numbers.
  2. The sets of non-zero rational numbers.
  3. The sets of +ve rational numbers.
  4. None of the above

Answer: C) The sets of +ve rational numbers

Explanation:

Q+ means the sets of +ve rational numbers.


21. What does R mean in a set?

  1. The set of the real number
  2. The set of the non-zero real number
  3. The set of +ve real number
  4. None of the above

Answer: A) The set of the real number

Explanation:

R means the set of real numbers.


22. What does Ro mean in a set?

  1. The set of the real number
  2. The set of the non-zero real number
  3. The set of +ve real number
  4. None of the above

Answer: B) The set of the non-zero real number

Explanation:

Co means the set of all non-zero complex numbers.


23. What does R+ mean in a set?

  1. The set of the real number
  2. The set of the non-zero real number
  3. The set of +ve real number
  4. None of the above

Answer: C) The set of +ve real number

Explanation:

R+ means the set of +ve real numbers.


24. It is called the ____ of the set when there are a total number of unique elements.

  1. Uniquely
  2. Cardinality
  3. Separately
  4. Specifically

Answer: B) Cardinality

Explanation:

It is called the cardinality of the set when there are a total number of unique elements.


25. In the countably infinite set, there is ____ cardinality.

  1. Only one
  2. Only two
  3. Only three
  4. Multiple

Answer: A) Only one

Explanation:

In the countably infinite set, there is only one cardinality.





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