Logical Reasoning Quiz

Inverse of: 
If you win the championship game, then you win the league trophy.

• If you don't win the championship game, then you don't win the league trophy.
• If you win the league trophy, then you win the championship game.
• If you don't win the league trophy, then you don't win the championship game.
• If you don't play the game, you can't win a trophy.

If it is an angle, then it is acute. What is an appropriate counterexample?

• 70⁰
• 45⁰
• 120⁰
• True. There is no counterexample.

Tags

CCSS.7.G.B.5

True or False: a counterexample is an example that makes a definition or conjecture incorrect

• True
• False

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is the conclusion to the statement?

• You like fried chicken
• You only like fried chicken from KFC
• You like KFC
• You hate KFC

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.K.1D

Which of the following is a counterexample:

All animals have 4 legs

• Person

• Fish

• Spider

• All of the options

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.W.9-10.2D

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

Which of the following is the inverse to the statement: 
"If you diet and exercise, then you will lose weight."

• If you don't diet and exercise, then you will not lose weight.
• If you don't diet and exercise, then you will lose weight.
• If you lose weight, then you dieted and exercised.
• If you don't lose weight, then you diet and exercise. 

Tags

CCSS.8.G.B.8

Inverse of: 
If you win the championship game, then you win the league trophy.

• If you don't win the championship game, then you don't win the league trophy.
• If you win the league trophy, then you win the championship game.
• If you don't win the league trophy, then you don't win the championship game.
• If you don't play the game, you can't win a trophy.