Logical Reasoning Quiz

If the statement is "If it rains, then they cancel the picnic," what is the converse of this statement?

• If they cancel the picnic, then it rains.

• If it does not rain, then they do not cancel the picnic.

• If they do not cancel the picnic, then it does not rain.

• If it rains, then they cancel the picnic.

What is the contrapositive of the statement "If a number is even, then it is divisible by 2"?

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

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

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

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

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

• If it is hot outside, then I will swim.

• I will swim if and only if it is hot outside.

• If I do not swim, then it is not hot outside.

• It is hot outside if I swim.

Identify the hypothesis in the statement: "If a shape is a square, then it has four sides."

• It has four sides.

• A shape is a square.

• If a shape

• Then it has four sides.

Identify the conclusion in the statement: "If the weather is cold, then I will wear a coat."

• The weather is cold.

• I will wear a coat.

• If the weather

• Then I will wear a coat.

What is the inverse of the statement "If it is raining, then the ground is wet"?

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

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

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

• If the ground is wet, then it is raining.

Which statement is logically equivalent to the contrapositive?

• The original statement

• The converse

• The inverse

• The biconditional

If the biconditional statement "You can drive if and only if you have a driver's license" is true, which of the following must also be true?

• If you can drive, then you have a driver's license.

• If you have a driver's license, then you can drive.

• Both A and B

• Neither A nor B

What is the converse of the statement "If a polygon is a rectangle, then it has four sides"?

• If a polygon has four sides, then it is a rectangle.

• If a polygon is not a rectangle, then it does not have four sides.

• If a polygon has four sides, then it is not a rectangle.

• If a polygon does not have four sides, then it is not a rectangle.

Which of the following statements is the contrapositive of "If the light is green, then cars can go"?

• If cars cannot go, then the light is not green.

• If cars can go, then the light is green.

• If the light is not green, then cars cannot go.

• If the light is green, then cars cannot go.