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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?
- Statements
- Propositions
- Both A and B
- 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)?
- Narendra Modi is our current prime minister.
- Yesterday it was rainy day.
- a.a means a^2.
- All of the above
Answer: D) All of the above
Explanation:
All the given mentioned statements are propositions -
- Narendra Modi is our current prime minister.
- Yesterday it was rainy day.
- a.a means a^2.
3. Which of the following statement is/are not proposition(s)?
- Pick up the bottle
- What is your address?
- a^a=20
- All of the above
Answer: D) All of the above
Explanation:
All of the given statements are not propositions -
- Pick up the bottle
- What is your address?
- a^a=20
4. Propositions are represented by lower case letters starting with _?
- P
- U
- A
- 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?
- Collabrative
- Doubled
- Combined
- 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)?
- ~
- ∧
- ⟶
- All of the above
Answer: D) All of the above
Explanation:
Following are the logical connectives -
- ~
- ∧
- ⟶
7. Name of ~ is?
- Negation
- Conjunction
- Disjunction
- None of the above
Answer: A) Negation
Explanation:
Name of ~ is negation.
8. Connective of ~ is?
- Not
- And
- Or
- None
Answer: A) Not
Explanation:
Connective of ~ is Not.
9. Name of ∧ is?
- Negation
- Conjunction
- Disjunction
- Implication
Answer: B) Conjunction
Explanation:
Name of ∧ is Conjunction.
10. Name of ∨ is?
- Conditional
- Biconditonal
- Disjunction
- Implication
Answer: C) Disjunction
Explanation:
Name of ∨ is Disjunction.
11. Name of ⟶ is/are -?
- Implication
- Conditional
- Both A and B
- None of the above
Answer: C) Both A and B
Explanation:
Name of ⟶ are Implication and Conditional.
12. Connective of ⟶ is/are -?
- Implies
- If…then
- Both A and B
- None of the above
Answer: C) Both A and B
Explanation:
Connective of ⟶ are Implies or if…then.
13. Name of ⟷ is/are -?
- Equivalence
- Biconditional
- Both A and B
- None of the above
Answer: C) Both A and B
Explanation:
Name of ⟷ are equivalence or biconditional.
14. Connective of ⟷ is -?
- If
- Only if
- If and only if
- None
Answer: C) If and only if
Explanation:
Connective of ⟷ is if and only if.