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Discrete Mathematics | Partial Order Relations MCQs

Discrete Mathematics | Partial Order Relations MCQs: This section contains multiple-choice questions and answers on Partial Order Relations in Discrete Mathematics.
Submitted by Anushree Goswami, on July 17, 2022

1. How many properties are there in Partial Order Relations?

  1. 2
  2. 3
  3. 4
  4. 5

Answer: B) 3

Explanation:

There are 3 properties in Partial Order Relations.


2. Which of the following is a property in Partial Order relations?

  1. Reflexive
  2. Antisymmetric
  3. Transitive
  4. All of the above

Answer: D) All of the above

Explanation:

The following is a property in partial Order relations -

  1. Reflexive
  2. Antisymmetric
  3. Transitive

3. A partial order set or ____ is the set A coupled with a partial order relation R on the set A?

  1. OFFSET
  2. OPSET
  3. POSET
  4. PFFSET

Answer: C) POSET

Explanation:

A partial order set or POSET is the set A coupled with a partial order relation R on the set A.


4. The total order relation on set A is known as _____?

  1. (a, b) ∈ R
  2. (b, a) ∈ R
  3. a = b
  4. All of the above

Answer: D) All of the above

Explanation:

The total order relation on set A is known as (a, b) ∈ R, (b, a) ∈ R, or a = b.


5. If (a, b) ∈ R and (b, c) ∈ R implies ____, then R is circular?

  1. (a, a) ∈ R
  2. (a, b) ∈ R
  3. (c, a) ∈ R
  4. (b, a) ∈ R

Answer: c) (c, a) ∈ R

Explanation:

If (a, b) ∈ R and (b, c) ∈ R implies (c, a) ∈ R, then R is circular.


6. In mathematics, a ____ relation R is called a Compatible Relation?

  1. Reflexive
  2. Symmetric Binary
  3. Both a and b
  4. None of the above

Answer: C) Both A and B

Explanation:

In mathematics, a Reflexive and Symmetric binary relation R is called a Compatible Relation.


7. A relationship of equivalence must be ____, but a relationship of compatibility does not have to be an equivalence?

  1. Compatible
  2. Composite
  3. Cartesian
  4. Circular

Answer: A) Compatible

Explanation:

A relationship of equivalence must be compatible, but a relationship of compatibility does not have to be an equivalence.





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