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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.

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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.

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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

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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.

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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.

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

1. ~
2. ∧
3. ⟶
4. All of the above

Answer: D) All of the above

Explanation:

Following are the logical connectives -

1. ~
2. ∧
3. ⟶

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7. Name of ~ is?

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

Answer: A) Negation

Explanation:

Name of ~ is negation.

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8. Connective of ~ is?

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

Answer: A) Not

Explanation:

Connective of ~ is Not.

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9. Name of ∧ is?

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

Answer: B) Conjunction

Explanation:

Name of ∧ is Conjunction.

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10. Name of ∨ is?

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

Answer: C) Disjunction

Explanation:

Name of ∨ is Disjunction.

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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.

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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.

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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.

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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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