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# NMTA Math: Logic Chapter Exam

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

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Question 1
1.
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?

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Question 2
2.
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.

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Question 3
3.
Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

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Question 4
4.
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?

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Question 5
5.
Which of the following is the contrapositive of the following statement.

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

### Page 2

#### Question 6 6. Which is the correct definition of a disjunction?

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

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Question 8
8.
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 9
9.
If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

#### Question 10 10. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

### Page 3

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Question 11
11.
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.

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Question 12
12.
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 13 13. Which of the following connectors is the logical disjunction?

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Question 14
14.
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?

#### Question 15 15. What is the negation of 'Triangles are not squares'?

### Page 4

#### Question 16 16. What does the statement, 'We will go get ice cream if and only if you clean your room' mean?

#### Question 17 17. Which of the following is a conditional statement?

#### Question 18 18. Which of the following is a conditional statement?

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Question 19
19.
Write the inverse of the following statement.

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

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Question 20
20.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

### Page 5

#### Question 21 21. 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'?

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Question 22
22.
Provide a counterexample for the statement below.

All prime numbers are odd.

#### Question 23 23. If x = 1 and y = 2, what can be said about z if z = xy?

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Question 24
24.
If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream.

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

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Question 25
25.
An example of which topic discussed in this lesson is shown below?

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

#### NMTA Math: 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!