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# Overview of Logic in Math 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!

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#### Question 1 1. Which of the following connectors is the logical disjunction?

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Question 2
2.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

#### Question 3 3. Which is the correct definition of a disjunction?

#### Question 4 4. Which is the correct definition of a conjunction?

#### Question 5 5. Which of the following connectors is the logical conjunction?

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Question 6
6.
Select the appropriate truth table for the compound statement, 'we have a cat or we have a dog,' using the following statement variables:

*p*: We have a cat.

*q*: We have a dog.

*p*: We have a cat.

*q*: We have a dog.

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Question 7
7.
Select the appropriate truth table for the statement 'Holly is not 21 years old' using the following statement variable:

*p*: Holly is 21 years old.

*p*: Holly is 21 years old.

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Question 8
8.
Select the appropriate truth table for the compound statement 'if it is spring break, then there is no school' using the following statement variables:

*p* : It is spring break.

*q* : There is no school.

*p*: It is spring break.

*q*: There is no school.

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Question 9
9.
Given the statements *p*: Bridget lives in Florida and *q*: Bridget drives a red car, write the compound statement 'Bridget lives in Florida and Bridget drives a red car' using the appropriate symbols.

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Question 10
10.
Select the appropriate truth table for the compound statement 'If I feel alright, then it is Friday night' using the following statement variables:

*p*: It is Friday night.

*q*: I feel alright.

*p*: It is Friday night.

*q*: I feel alright.

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#### Question 11 11. Which of the following is a Euler path?

#### Question 12 12. How many Euler paths are there in this graph?

#### Question 13 13. How many Euler circuits are in this graph?

#### Question 14 14. How many vertices can be odd in a Eulerian graph?

#### Question 15 15. At most, _____ of the verticies will be of an odd degree in a semi-Eulerian graph.

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#### Question 16 16. 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 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.
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 20
20.
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 21
21.
Let *m* stand for 'Math is fun', *n* stand for 'Today is Thursday', and *p* stand for 'It is raining.' Write a Boolean expression for the statement 'Today is Thursday and it's not raining, or math is fun.'

#### Question 22 22. Simplify the Boolean expression as much as possible.

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Question 23
23.
Use De Morgan's Law to rewrite the **negation** of the statement: *You get home by 10pm or you're grounded.*

#### Question 24 24. The operation OR is also known as:

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Question 25
25.
A statement that is *True* regardless of the truth values of all the variables in it is called a *tautology.* Choose the tautology from the list below.

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#### Question 26 26. Biconditional statements use which of the following?

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Question 27
27.
What is the hypothesis in this conditional statement?

If you are hungry, then you will want to eat.

#### Question 28 28. If the hypothesis is 'I am tired' and the conclusion is 'I will want to sleep,' which statement is the converse?

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Question 29
29.
What is the biconditional statement for the following statement?

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

#### Question 30 30. Which statement could form a biconditional statement?

#### Overview of Logic in Math 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!