Laws of Detachment and Syllogism Quiz

1.

Multiple Choice

5 mins

12 pts

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

Law of Detachment

Law of Syllogism

Law of Contrapositive

None

2.

Multiple Choice

5 mins

1 pt

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

∠A is complementary to ∠B

∠A is acute.

∠A is obtuse.

∠A is 40⁰

3.

Multiple Choice

5 mins

12 pts

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Then it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

4.

Multiple Choice

5 mins

1 pt

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Invalid

Valid

Sammy is a Great Dane

Sammy is really a cat.

5.

Multiple Choice

5 mins

1 pt

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

You are at least 25 years old

You can rent a car

You can go on a road trip

Invalid

6.

Multiple Choice

5 mins

12 pts

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

If the sun is not shining, we will not go hiking.

If the sun is shining then we will go hiking.

No conclusion can be made.

If we go hiking, then it is a beautiful day.

7.

Multiple Choice

5 mins

1 pt

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

If you return to the pool you will enjoy yourself.

If you enjoy yourself, then you went to the pool.

If you go to the pool, you will want to return.

No conclusion can be made.

8.

Multiple Choice

5 mins

1 pt

If the binding of the book is broken, then the student will have to pay for a new one. Michael has to pay for a new book, so he concludes the binding on his book is broken. Is he correct?

Yes

No

9.

Multiple Choice

5 mins

1 pt

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

Jack skipped school.

It isn't Monday.

It's Saturday.

Invalid

10.

Multiple Choice

5 mins

1 pt

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Statement 1: If I study for one hour each day, then I will score well on the exam

Statement 2: I will study from 6pm to 7pm tonite.

I study for several hours each day.

I will do well on the exam

If I do well on the exam, I studied for hours.

not possible

Explore this activity with a free account