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- 1. Multiple Choicep→q
p
∴q
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 2. Multiple Choicep→q
q→r
∴p→r
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 3. Multiple Choice
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
- 4. Multiple Choice
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
- 5. Multiple ChoiceDraw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.You live in Disney LandYou are an old person.You live in FloridaYou live in Orlando - 6. Multiple ChoiceDraw 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 4Then it's even. - 7. Multiple ChoiceDraw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a carYou are at least 25 years oldYou can rent a carYou can go on a road tripInvalid - 8. Multiple Choice
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 score well on the exam
I study for 1 hour each day.
I do not study for 1 hour each day
If I do well on the exam, I studied for 1 hour each day.
Invalid
- 9. Multiple ChoiceDraw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.You will need to bring your fishing rod.InvalidYou are a boring person.You are going to catch a fish. - 10. Multiple ChoiceUse the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energyYou have more energyIf you exercise regularly, then you have more energyYou have a healthy bodyIf you do not have a healthy body, then you do not exercise regularly - 11. Multiple Choice
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.
- 12. Multiple Choice
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.
- 13. Multiple ChoiceDraw 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 - 14. Multiple Choice
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
- 15. Multiple ChoiceUsing the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...Look out for the snowplows while driving to school.The big test will not be given today.The roads will be hard to drive on.You should call the school to see if school is canceled. - 16. Multiple ChoiceWhich is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.Opposite angles of a quadrilateral are congruentOpposite angles of a rhombus are congruentEvery quadrilateral is a rhombusEvery parallelogram is a rhombus - 17. Multiple ChoiceUse Law of Syllogism to make a conclusion.
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.If a number is divisible by 10, then it is even,If a number is even, then it is divisible by 10.If a number is divisible by 2, then it is even.If a number is even, then it is divisible by 2. - 18. Multiple ChoiceUse Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft2.If the side of a square is 5 ft, then the perimeter is 20 ft.If the perimeter of a square is 20 ft, then the area is 25 ft2If the area of a square is 25 ft2, then the side length is 5 ft.If the are of a square is 25 ft2, then the perimeter is 20 ft. - 19. Multiple ChoiceWrite the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies. If Chris goes to the movies, then Todd will go to the movies.If Chris goes to the movies, then Sarah will go to the movies.If Todd goes to the movies, then Chris will go to the movies.If Sarah goes to the movies, then Chris will go to the movies.If Chris goes to the movies, then Todd will go to the movies.
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