Discrete Math Assessment Questions with
Correct Answers
What is a proposition?
A statement that is true or false
Triangles have 180 degrees in total, and squares are two triangles put together. What
can you say about the total degrees of a square?
If squares are two triangles put together, then squares equal two triangles.
If triangles have 180 degrees in total, then squares have 180 degrees in total.
If squares are two triangles put together, then triangles have 180 degrees in total.
If triangles have 180 degrees in total, then squares are two triangles put together.
If triangles have 180 degrees in total, then squares have 360 degrees in total.
If triangles have 180 degrees in total, then squares have 360 degrees in total.
Which of the following is a logic proposition?
A: Sam only eats square foods
B: Once upon a time
C: Circles roll
A and C
If a = c and b = c, what kinds of new statements can you make?
A: If a = c and b = c, then a = b.
B: If a = 1, then b = 1.
C: If b = 2, then a = 1.
A and B
,If x = 1 and y = 2, what can be said about z if z = xy?
If x = 1 and y = 2, then x = zy
If z = xy, then z = 2.
If z = xy, then x = 2.
If z = xy, then x = 1.
If z = xy, then z = 3.
If z = xy, then z = 2.
If the following two propositions are true, which is a true statement?
Theresa loves dogs.
Spot is a dog.
If Spot is a dog, then Theresa loves Spot.
If Spot is a dog, then Theresa hates Spot.
If Theresa loves dogs, then Spot hates Theresa.
If Theresa loves dogs, then Spot loves Theresa.
If Spot is a dog, then Theresa loves dogs.
If Spot is a dog, then Theresa loves Spot.
What kind of logic is presented below?
Your dog loves rock and roll music because my dog loves rock and roll music.
Limited choice
Circular reasoning
,Hasty generalization
False cause
Hasty generalization
What kind of reasoning does the statement below illustrate?
My phone starts to ring whenever my cat starts to purr.
Hasty generalization
Circular reasoning
Limited choice
False cause
False cause
Which statement is an example of circular reasoning?
Anything that possesses 360 degrees must be a circle.
I like cheesecake, and you are the same age as me, so you must like cheesecake too.
The moon is made of cheese because the moon is made of cheese.
You can only pick from a car or a motorcycle as your mode of transportation.
The moon is made of cheese because the moon is made of cheese.
If someone asked you to choose between two candidates for president, but there were
still five candidates running for president, what kind of logical fallacy is that?
False cause
Circular reasoning
, Hasty generalization
Limited choice
Limited Choice
What kind of reasoning uses two unrelated events to prove a point?
False cause
Valid logic
Hasty generalization
Limited choice
False cause
Which type of logical fallacy is illustrated in the example below?
I will get an A in math class because I spent many sleepless nights studying.
Appeal to ignorance
Appeal to wisdom
Appeal to emotion
Appeal to popularity
Appeal to emotion
What is an example of a logical fallacy?
Writing a correct mathematical equation
Saying something is true or false based on emotions
Making a logical argument about an emotional subject
Reasoning that is based on pure facts
Correct Answers
What is a proposition?
A statement that is true or false
Triangles have 180 degrees in total, and squares are two triangles put together. What
can you say about the total degrees of a square?
If squares are two triangles put together, then squares equal two triangles.
If triangles have 180 degrees in total, then squares have 180 degrees in total.
If squares are two triangles put together, then triangles have 180 degrees in total.
If triangles have 180 degrees in total, then squares are two triangles put together.
If triangles have 180 degrees in total, then squares have 360 degrees in total.
If triangles have 180 degrees in total, then squares have 360 degrees in total.
Which of the following is a logic proposition?
A: Sam only eats square foods
B: Once upon a time
C: Circles roll
A and C
If a = c and b = c, what kinds of new statements can you make?
A: If a = c and b = c, then a = b.
B: If a = 1, then b = 1.
C: If b = 2, then a = 1.
A and B
,If x = 1 and y = 2, what can be said about z if z = xy?
If x = 1 and y = 2, then x = zy
If z = xy, then z = 2.
If z = xy, then x = 2.
If z = xy, then x = 1.
If z = xy, then z = 3.
If z = xy, then z = 2.
If the following two propositions are true, which is a true statement?
Theresa loves dogs.
Spot is a dog.
If Spot is a dog, then Theresa loves Spot.
If Spot is a dog, then Theresa hates Spot.
If Theresa loves dogs, then Spot hates Theresa.
If Theresa loves dogs, then Spot loves Theresa.
If Spot is a dog, then Theresa loves dogs.
If Spot is a dog, then Theresa loves Spot.
What kind of logic is presented below?
Your dog loves rock and roll music because my dog loves rock and roll music.
Limited choice
Circular reasoning
,Hasty generalization
False cause
Hasty generalization
What kind of reasoning does the statement below illustrate?
My phone starts to ring whenever my cat starts to purr.
Hasty generalization
Circular reasoning
Limited choice
False cause
False cause
Which statement is an example of circular reasoning?
Anything that possesses 360 degrees must be a circle.
I like cheesecake, and you are the same age as me, so you must like cheesecake too.
The moon is made of cheese because the moon is made of cheese.
You can only pick from a car or a motorcycle as your mode of transportation.
The moon is made of cheese because the moon is made of cheese.
If someone asked you to choose between two candidates for president, but there were
still five candidates running for president, what kind of logical fallacy is that?
False cause
Circular reasoning
, Hasty generalization
Limited choice
Limited Choice
What kind of reasoning uses two unrelated events to prove a point?
False cause
Valid logic
Hasty generalization
Limited choice
False cause
Which type of logical fallacy is illustrated in the example below?
I will get an A in math class because I spent many sleepless nights studying.
Appeal to ignorance
Appeal to wisdom
Appeal to emotion
Appeal to popularity
Appeal to emotion
What is an example of a logical fallacy?
Writing a correct mathematical equation
Saying something is true or false based on emotions
Making a logical argument about an emotional subject
Reasoning that is based on pure facts
