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- 1. Multiple ChoiceDetermine 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.InvalidValidSammy is a Great DaneSammy is really a cat. - 2. 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. - 3. Multiple ChoiceDraw a conclusion from the statement.
If a parasite lives in or on a host organism, then it harms its host.
A virus is a parasite.It will harm the host.I have a cold.It lives in or on a hostInvalid - 4. 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 - 5. 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. - 6. 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 - 7. 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 - 8. Multiple ChoiceUse 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 examI study for 1 hour each day.I do not study for 1 hour each dayIf I do well on the exam, I studied for 1 hour each day.not possible - 9. 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, thereforelook 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. - 10. Multiple ChoiceIf 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?YesNo
- 11. Multiple ChoiceIf possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 2, then 2x – 10 = –6.
Statement 2: x = 22x – 10 = –6x = 2If 2x – 10 = –6, then x = 2not possible - 12. Multiple ChoiceWhich law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.Law of DetachmentLaw of ContrapositiveLaw of SyllogismLaw of Biconditional - 13. Multiple Choicep→q
q→r
∴p→r
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 14. Multiple Choicep→q
p
∴q
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 15. 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 - 16. Multiple ChoiceLet a represent "It is hot outside".
Let b represent "I will eat ice cream".
What is the symbolic notation of "If I don't eat ice cream, then it is not hot outside."b -> a~b -> ~a~a -> ~ba -> b - 17. Multiple Choice(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?Law of DetachmentLaw of SyllogismLaw of Contrapositiveinvalid - Answer choicesTagsAnswer choicesTags