Praxis Mathematics - Content Knowledge (5161) Chapter 47 - Understanding Logic Quiz Questions

1. If x = 1 and y = 2, what can be said about z if z = xy? If x = 1 and y = 2, then z = xy. If z = xy, then z = 3. If z = xy, then y = 2. If z = xy, then x = 1. If z = xy, then z = 2.

If z = xy, then z = 2.

18. 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. 4 2 1 3

3

4. 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. B A C A and B A and C

A and B

2. Which of the following is a logic proposition? A: Sam only eats square foods B: Once upon a time C: Circles roll C B A and C A and B A

A and C

24. Which of the following connectors is the logical conjunction? AND OR BUT BOTH

AND

25. 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. Appeal to popularity Appeal to ignorance Appeal to wisdom Appeal to emotion

Appeal to ignorance

26. 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. Appeal to popularity Appeal to emotion Appeal to wisdom Appeal to ignorance

Appeal to popularity

28. Which type of logical fallacy is illustrated below? This chocolate pie must be bad because nobody is taking it. Appeal to ignorance Appeal to popularity Appeal to wisdom Appeal to emotion

Appeal to popularity

21. Which is a correct logical conjunction formed with the following phrases? Drew likes roses. Drew loves lilies. Drew likes roses and Drew loves lilies. Drew neither likes roses nor loves lilies. Drew likes roses or Drew loves lilies. Drew either likes roses or loves lilies Drew both likes roses and loves lilies.

Drew likes roses and Drew loves lilies.

6. What kind of reasoning does the statement below illustrate? My phone starts to ring whenever my cat starts to purr. Limited choice False cause Circular reasoning Hasty generalization

False cause

7. What kind of reasoning uses two unrelated events to prove a point? Limited choice False cause Valid logic Hasty generalization

False cause

5. What kind of logic is presented below? Your dog loves rock and roll music because my dog loves rock and roll music. Hasty generalization False cause Circular reasoning Limited choice

Hasty generalization

15. Which of the following is the inverse of the below argument? If I am in Kansas, then I'm in the United States. If I'm not in the United States, then I'm not in Kansas. If I'm in the United States, then I'm in Kansas. If I am in Kansas, then I'm in the United States. If I'm not in Kansas, then I'm not in the United States.

If I'm not in Kansas, then I'm not in the United States.

11. 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'? If Joe has a red car If Joe has a red car, then Billy gets to drive it. Joe has a red car, so Billy gets to drive it. Then Billy gets to drive it. Joe has a red car and Billy gets to drive it.

If Joe has a red car, then Billy gets to drive it.

29. If the following two propositions are true, which is a true statement? Theresa loves dogs. Spot is a dog. If Spot is a dog, then Theresa loves dogs. If Theresa loves dogs, then Spot hates Theresa. If Spot is a dog, then Theresa loves Spot. If Spot is a dog, then Theresa hates Spot. If Theresa loves dogs, then Spot loves Theresa.

If Spot is a dog, then Theresa loves Spot.

12. Which of the following is a conditional statement? If a square is a rectangle, then a triangle is a shape. A square is a rectangle, so therefore, a triangle is a shape. Squares are rectangles, but triangles are shapes. A square is a rectangle and a triangle is a shape. If a square is a rectangle, triangles will have shape.

If a square is a rectangle, then a triangle is a shape.

13. Which of these is the logical contrapositive to the following statement? If killing in any sense is wrong, then murder is wrong. If killing in any sense is wrong, then murder is not wrong. If killing in any sense is not wrong, then murder is not wrong. If murder is wrong, then killing in any sense is wrong. If murder is not wrong, then killing in any sense is not wrong.

If murder is not wrong, then killing in any sense is not wrong.

10. Which of the following is a conditional statement? A dog barks at a cats meow. If the dog barks, then the cat will meow. Dogs bark when cats meow. Either the dog barks, or the cat will meow. Dogs bark and cats meow.

If the dog barks, then the cat will meow.

3. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square? If triangles have 180 degrees in total, then squares have 360 degrees in total. If triangles have 180 degrees in total, then squares have 180 degrees in total. If triangles have 180 degrees in total, then squares are two triangles put together. If squares are two triangles put together, then triangles have 180 degrees in total. If squares are two triangles put together, then squares equal two triangles.

If triangles have 180 degrees in total, then squares have 360 degrees in total.

23. Which is the correct definition of a disjunction? It is when two statements are connected with an 'OR'. The combined compound statement can be labeled as true when just one of the statements is true. It is when two statements are connected with a 'NOT''. The resulting compound statement can be labeled as true when just one of the statements is true. It is when two statements are connected with an 'AND'. The resulting compound statement can be labeled as true when just one of the statements is true. It is when two statements are connected with an 'OR''; only when both statements are true is the resulting compound statement true. It is when two statements are connected with an 'AND''; only when both statements are true is the resulting compound statement true.

It is when two statements are connected with an 'OR'. The combined compound statement can be labeled as true when just one of the statements is true.

9. 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? Jimmy will get a big scoop of chocolate ice cream. If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream. Jimmy does his chores. If Jimmy does his chores A big scoop of chocolate ice cream

Jimmy will get a big scoop of chocolate ice cream.

30. 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? Circular reasoning Hasty generalization Limited choice False cause

Limited choice

22. Which of the following connectors is the logical disjunction? BUT Both AND OR

OR

27. What is an example of a logical fallacy? Writing a correct mathematical equation Making a logical argument about an emotional subject Saying something is true or false based on emotions Reasoning that is based on pure facts

Saying something is true or false based on emotions

14. Which of these is always logically equivalent to the inverse? The counterexample The contrapositive The converse The conditional

The converse

8. Which statement is an example of circular reasoning? I like cheesecake, and you are the same age as me, so you must like cheesecake too. The moon is made of cheese because the moon is made of cheese. Anything that possesses 360 degrees must be a circle. You can only pick from a car or a motorcycle as your mode of transportation.

The moon is made of cheese because the moon is made of cheese.

19. What is the negation of 'Triangles are not squares'? Triangles are squares. Triangles don't have four sides. Triangles are three sided. Triangles are not circles.

Triangles are squares.

16. In the following statement, which part is the hypothesis? If all mammals are animals, then dogs are animals. then dogs are animals all mammals are animals are

all mammals are animals

17. 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? p: T q: T p: F q: T p: T q: F p: F q: F

p: T q: F

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? p: T q: T p: F q: F p: T q: F p: F q: T

p: T q: T