# Logic Chapter Exam

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Exam Progress:

### Page 1

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Question 1
1.
Write the converse of the following statement.

If a polygon has three sides, then it is a triangle.

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Question 2
2.
Re-write the following statement in IF-THEN form.

A triangle is equilateral if and only if all three sides have the same length.

#### Question 3 3. What does the statement, 'We will go get ice cream if and only if you clean your room' mean?

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Question 4
4.
Which of the following is the contrapositive of the following statement.

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

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Question 5
5.
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.

### Page 2

#### Question 6 6. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

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Question 7
7.
Which type of logical fallacy is illustrated below?

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

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Question 8
8.
Identify the type of logical fallacy in the following statement.

Since my brother is good at soccer, I should be good as well.

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Question 9
9.
Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

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Question 10
10.
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.

### Page 3

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Question 11
11.
Provide a counterexample for the statement below.

All prime numbers are odd.

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Question 12
12.
Write the inverse of the following statement.

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

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Question 13
13.
Identify the type of logical fallacy in the following statement.

The weatherman is calling for rain tomorrow because it is supposed to rain.

#### Question 14 14. Which of the following is a conditional statement?

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Question 15
15.
Identify which statement is logically equivalent to the one written below.

If you study for at least 2 hours, then you will ace the test.

### Page 4

#### Question 16 16. 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?

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Question 17
17.
Form a conjunction from the following two statements.

It will rain tomorrow.

Tomorrow is Sunday.

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Question 18
18.
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?

#### Question 19 19. 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'?

#### Question 20 20. Which of the following is a conditional statement?

### Page 5

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Question 21
21.
Which of the following connectors is the logical disjunction?

A. AND

B. OR

#### Question 22 22. If x = 1 and y = 2, what can be said about z if z = xy?

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Question 23
23.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

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Question 24
24.
Identify the type of logical fallacy in the following statement.

Because no one is eating the pasta dish at the buffet, it must be spoiled.

#### Question 25 25. What kind of reasoning uses two unrelated events to prove a point?

### Page 6

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Question 26
26.
If the following propositions are true, which statement below is also true?

Tomorrow is Friday.

I go to the beach every Friday.

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Question 27
27.
What kind of reasoning does the statement below illustrate?

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

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Question 28
28.
Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

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Question 29
29.
Write the inverse of the following statement

If John does not make any noise, then the dog will keep sleeping.

#### Question 30 30. What is an example of a logical fallacy?

#### Logic Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "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. You will lose your work if you close or refresh this page. Good luck!