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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.

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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.

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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.

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

1. ∈
2. ?
3. $
4. *

Answer: A) ∈

Explanation:

The symbol of 'Element of' is ∈.

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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.

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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

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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

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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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