Unit 2 Logic Test

If it is your birthday, then you will eat cake. Identify the correct set of hypothesis and conclusion.

• Hypothesis: It is your birthday Conclusion: you will eat cake

• Hypothesis: If it is your birthday

  Conclusion: then you will eat cake

• Hypothesis: It is your birthday Conclusion: then you will eat cake

• Hypothesis: If It is your birthday Conclusion: you will eat cake

Let p= It is warm outside

Let q= flowers are blooming

Let s= It is snowing

Which one of these sentences is equivalent to following symbols?

~s∴pΛq

• It is not snowing, therefore it is warm outside and flowers are not blooming

• It is snowing therefore it is not warm outside and flowers are blooming

• It is not snowing therefore it is warm outside and flowers are blooming

• it is not warm outside and flowers are blooming therefore it is snowing

If a polygon has four sides, then it is a quadrilateral. What is the converse of the given statement?

• If a polygon is a quadrilateral, then it does not have four sides.

• If a polygon is not a quadrilateral, then it does not have four sides.

• If a polygon is a quadrilateral, then it has four sides.

• If a polygon does not have four sides, then it is not a quadrilateral.

If a polygon has 5 sides, then it is a pentagon. What is the contra-positive of the given statement?

• If a polygon is not a pentagon, then it does not have 5 sides.

• If a polygon is not a Pentagon, then it has 5 sides.

• If a polygon does not have 5 sides, then it is not a pentagon.

• If a polygon is a pentagon, then it does not have 5 sides.

Identify a valid conclusion using the Law of Syllogism assuming that the following statements are true:

If Alison goes to work, then she will get paid.

If Alison gets paid, then she will go to the movies.

• If Alison goes to work, then she will get paid.

• If Alison goes to work, then she will go to the movies.

• If Alison gets paid, then she will go to the movies.

• No Conclusion

Identify a valid conclusion using the Law of Detachment assuming that the following statements are true:

If I get good grades in high school, I will be going to college.

I got all good grades in high school.

• I got scholarship

• I am not going to college

• I am going to high school

• I am going to college

Using the Law of contra-positive, identify the conclusion.

If I go to the store, I will buy so many pants.

I didn't buy pants.

• I didn't go to store

• I forgot to go store

• I have so many pants

• No conclusion

If a person likes onions, then he likes onion rings. What is the Inverse?

• If a person doesn't like onions, then he doesn't like onion rings.

• If a person likes onions, then he doesn't like onion rings.

• If a person doesn't like onions, then he likes onion rings.

• If a person doesn't like onion rings, then they doesn't like onions.

What law of logic is used here.

If someone likes running, they sign up for a race.

I like running

I signed up for race

• Law of Syllogism

• Law of contrapositive

• Law of detachment

• Invalid conclusion

Note: This is EXTRA CREDIT question and worth 5 points. If you don't know, you can skip it.

Choose a counter example(s) if possible.

You go to CHS iff you are a student.

• Teacher

• 
• No counter examples because this is a true bi-conditional statement.

•