Logic Quiz

What is the definition of a proposition?

• A command that instructs someone to do something

• A statement that is always true

• A question that requires an answer

• A statement that can be true or false

Which of the following is an example of a compound proposition?

• 2 + 2 = 4.

• It is raining.

• If it rains, then the ground is wet.

• The sky is blue.

What does the logical operator 'AND' signify?

• Neither proposition can be true

• At least one proposition must be true

• Both propositions must be true

• Only one proposition can be true

What is the truth value of the statement 'If p is true and q is false, then p implies q'?

• Undefined

• False

• True

• Cannot be determined

Which of the following statements is a tautology?

• p OR q

• p AND NOT p

• p OR NOT p

• p AND q

What is the result of the logical operation 'p XOR q' when both p and q are true?

• Both true and false

• Undefined

• False

• True

What does the term 'contradiction' refer to in logic?

• A statement that is always true

• A statement that can be either true or false

• A statement that is always false

• A statement that is sometimes true

Which of the following is an example of a conditional statement?

• If it rains, then the ground is wet.

• The sun is shining.

• Close the door.

• What time is it?

What is the contrapositive of the statement 'If it rains, then the ground is wet'?

• If the ground is not wet, then it does not rain.

• If it rains, then the ground is not wet.

• If it does not rain, then the ground is wet.

• If the ground is wet, then it rains.

Which of the following statements is a biconditional?

• I will not go to the beach.

• It is not sunny.

• I will go to the beach if and only if it is sunny.

• If it is sunny, then I will go to the beach.