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Discrete Mathematics | Propositions and Compound Statements MCQs

Discrete Mathematics | Propositions and Compound Statements MCQs: This section contains multiple-choice questions and answers on Propositions and Compound Statements in Discrete Mathematics.
Submitted by Anushree Goswami, on July 18, 2022

1. ____ are declarative sentences that are true or false?

  1. Statements
  2. Propositions
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

Statements or propositions are declarative sentences that are true or false.


2. Which of the following statement is/are proposition(s)?

  1. Narendra Modi is our current prime minister.
  2. Yesterday it was rainy day.
  3. a.a means a^2.
  4. All of the above

Answer: D) All of the above

Explanation:

All the given mentioned statements are propositions -

  1. Narendra Modi is our current prime minister.
  2. Yesterday it was rainy day.
  3. a.a means a^2.

3. Which of the following statement is/are not proposition(s)?

  1. Pick up the bottle
  2. What is your address?
  3. a^a=20
  4. All of the above

Answer: D) All of the above

Explanation:

All of the given statements are not propositions -

  1. Pick up the bottle
  2. What is your address?
  3. a^a=20

4. Propositions are represented by lower case letters starting with _?

  1. P
  2. U
  3. A
  4. X

Answer: A) P

Explanation:

Propositions are represented by lower case letters starting with P.


5. Through logical connectives (operators), statements can be combined into a single statement called a ____ statement?

  1. Collabrative
  2. Doubled
  3. Combined
  4. Compound

Answer: D) Compound

Explanation:

Through logical connectives (operators), statements can be combined into a single statement called a compound statement.


6. Which of the following is/are logical connective(s)?

  1. ~
  2. All of the above

Answer: D) All of the above

Explanation:

Following are the logical connectives -

  1. ~


7. Name of ~ is?

  1. Negation
  2. Conjunction
  3. Disjunction
  4. None of the above

Answer: A) Negation

Explanation:

Name of ~ is negation.


8. Connective of ~ is?

  1. Not
  2. And
  3. Or
  4. None

Answer: A) Not

Explanation:

Connective of ~ is Not.


9. Name of ∧ is?

  1. Negation
  2. Conjunction
  3. Disjunction
  4. Implication

Answer: B) Conjunction

Explanation:

Name of ∧ is Conjunction.


10. Name of ∨ is?

  1. Conditional
  2. Biconditonal
  3. Disjunction
  4. Implication

Answer: C) Disjunction

Explanation:

Name of ∨ is Disjunction.


11. Name of ⟶ is/are -?

  1. Implication
  2. Conditional
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

Name of ⟶ are Implication and Conditional.


12. Connective of ⟶ is/are -?

  1. Implies
  2. If…then
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

Connective of ⟶ are Implies or if…then.


13. Name of ⟷ is/are -?

  1. Equivalence
  2. Biconditional
  3. Both A and B
  4. None of the above

Answer: C) Both A and B

Explanation:

Name of ⟷ are equivalence or biconditional.


14. Connective of ⟷ is -?

  1. If
  2. Only if
  3. If and only if
  4. None

Answer: C) If and only if

Explanation:

Connective of ⟷ is if and only if.





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