NMTA Essential Academic Skills Math: Mathematical Logic Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1.

Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

Question 2 2.

Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

Question 3 3.

Which type of logical fallacy is illustrated below?

This chocolate pie must be bad because nobody is taking it.

Question 4 4.

What kind of logic is presented below?

Your dog loves rock and roll music because my dog loves rock and roll music.

Question 5 5.

What kind of reasoning does the statement below illustrate?

My phone starts to ring whenever my cat starts to purr.

Page 2

Question 6 6.

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.

Question 7 7. Which of the following connectors is the logical conjunction?

Question 8 8.

Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

Question 9 9.

An example of which topic discussed in this lesson is shown below?

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

Question 10 10. What kind of reasoning uses two unrelated events to prove a point?

Page 3

Question 11 11.

Which type of logical fallacy is illustrated below?

Everyone in the class agrees that if x = 2 and y = 2, then x must equal y.

Question 12 12. What does the statement, 'We will go get ice cream if and only if you clean your room' mean?

Question 13 13.

If he eats a hamburger, then he will eat two bags of fries.

Which of the following represents the hypothesis in the above conditional statement?

Question 14 14. 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?

Question 15 15.

p: The pond is not frozen over.

q: The fish are not jumping.

For the combination p AND (NOT q), for which truth values of p and q is the combination true?

Page 4

Question 16 16.

Which type of logical fallacy is illustrated below?

The moon is made of cheese because it looks like cheese and no one has ever eaten the moon.

Question 17 17.

If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

Question 18 18.

Which of the following is the contrapositive of the following statement.

If a quadrilateral has four sides, then it is a square.

Question 19 19.

Which logical fallacy is shown below?

Statement 1: If the deer has a red nose, then it is a reindeer.

Statement 2: If it is a reindeer, then the deer has a red nose.

Question 20 20.

p: The dog rolls over on command.

q: The dog gets a treat.

For the combination p AND q, for which truth values of p and q is the combination true?

Page 5

Question 21 21. If x = 1 and y = 2, what can be said about z if z = xy?

Question 22 22. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

Question 23 23. Which of the following is a conditional statement?

Question 24 24.

Write the inverse of the following statement.

If Sue sees a goat, then Sue milks the goat.

Question 25 25. Which of the following connectors is the logical disjunction?

Page 6

Question 26 26.

How many propositions are there in the statement below?

I will buy you a huge bacon cheeseburger and wash your car if and only if you give me your big screen television.

Question 27 27. Which of the following is a conditional statement?

Question 28 28. What is the negation of 'Triangles are not squares'?

Question 29 29. Which is the correct definition of a disjunction?

Question 30 30. Which of the following is a conditional statement whose hypothesis is 'Joe has a red car' and whose conclusion is 'Billy gets to drive it'?

NMTA Essential Academic Skills Math: Mathematical Logic Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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