Multiple Choice Test: Propositional Logic

Which of the following is a proposition?

• Close the door

• Are you hungry?

• 5 + 3 = 8

• Wow!

What is the main characteristic of a proposition?

• It asks a question

• It is either true or false

• It is always a command

• It contains two subjects

Which of the following is not a simple statement?

• The moon shines at night.

• 12 is an even number.

• I studied and I passed.

• Water freezes at 0°C.

What type of statement expresses a single idea and cannot be broken down?

• Compound statement

• Imperative statement

• Simple statement

• Exclamatory statement

Which sentence is an example of a compound statement?

• The sky is blue.

• 3 is less than 5.

• I will study or I will fail.

• Study hard!

What logical connector is used in a conjunction?

• Or

• Not

• And

• If...then

What is the symbol for disjunction?

• ∧

• ¬

• →

• ∨

Which of the following is true only if both statements are true?

• Conjunction

• Disjunction

• Negation

• Biconditional

In the statement "It is raining and it is cold," what type of logical connective is used?

• Disjunction

• Conjunction

• Negation

• Conditional

Which of the following compound statements is true only if both parts are true?

• I sleep or I study.

• I do not sleep.

• I study and I pass.

• I failed or I passed.