Conditional Statements Quiz

What is the hypothesis in this conditional statement: "If a number is divisible by 2, then it is even."

• A number is even

• A number is divisible by 2

• A number is not even

• A number is odd

What is the conclusion in this conditional statement: "If today is a holiday, then there is no class."

• Today is not a holiday

• There is no class

• If today is a holiday

• Class will start

Which of the following is a correct symbolic form of a conditional statement?

• p∧q

• p↔q

• p→q

• ¬p∨q

Given the statement: "If a student studies, then they will pass." What is the converse of the statement?

• If a student does not study, then they will not pass.

• If a student passes, then they studied.

• If a student passes, then they studied.

• If a student will pass, then they study.

What is the inverse of the statement: "If a number is odd, then it is not divisible by 2."

• If a number is not odd, then it is divisible by 2.

• If a number is not divisible by 2, then it is odd.

• If a number is even, then it is divisible by 2.

• If a number is not odd, then it is not divisible by 2.

What is the contrapositive of the statement: "If a polygon has three sides, then it is a triangle."

• If it is not a triangle, then it does not have three sides.

• If a polygon is a triangle, then it has three sides.

• If a triangle has three sides, then it is a polygon.

• If it has three sides, then it is a triangle.

Which statement has the same truth value as the original conditional statement?

• Converse

• Inverse

• Contrapositive

• Hypothesis

Which situation is a counterexample to the statement: "If a number is divisible by 6, then it is divisible by 3."

• 12 is divisible by 6 and 3

• 15 is divisible by 3 but not by 6

• 18 is divisible by both 3 and 6

• 10 is divisible by 5, not 6 or 3

Identify the truth value of the statement: "If 9 is an even number, then 2 + 2 = 4."

• True

• False

• Cannot be determined

• Both true and false

Which of the following best describes a conditional statement?

• A statement that compares two quantities

• A statement that tells a story

• A statement that has a hypothesis and conclusion

• A statement that gives a command