Think you’ve got your head wrapped around Logic and Proof? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Is the statement "1 + 1 = 2 or any two points determine a line" true or false?
True
False
Both true and false
Not enough information
All of the above
Q. What is the converse of r → z?
r → z
z → r
not z → not r
r → not r
not r → not z
Q. Which of "and," "not," and "or" link two statements together?
"and"
"or"
"not"
"and" and "or"
"and," "not," and "or"
Q. How many values of x make the statement "x ≤ 5 and x ≥ 5" true?
None
1
2
5
Infinitely many
Q. Suppose we know a → b, b → c. If we know b is true, may we infer c?
No
Yes, by detachment
Yes, by syllogism
Yes, by transitivity
Yes, by reflexivity
Q. Is the contrapositive of "Everything brown is a dog" true?
No, and a white dog is a counterexample
No, and a brown hat is a counterexample
No, and a white hat is a counterexample
No, and a brown dog is a counterexample
Yes
Q. Which is an example of something "white or not soft?"
Pink cotton ball
Blue bunny rabbit
Gray moldy marshmallow
White rock candy
Green pillow
Q. Suppose that p → q and p → r. May we infer that q → r?
Yes, by detachment
Yes, by symmetry
Yes, by syllogism
Yes, by addition
No
Q. What is the converse of not p → not q?
p → q
not q → not p
q → p
not p → q
p → not q
Q. The statements p → q and q → r are given. If we know q to be true, which of the following CANNOT be assumed as true?
p
p → q
q
q → r
r