1B Propositions and truth values

1)  Which of the following is not a proposition? 
A) 15 - 12 = 18 B)  My eyes are not brown. 
C) What color are your eyes?	 D)  Jeremy has green eyes. 

2)  Susie lives in a green house. Which of the following is the negation of this proposition? 
A) Billy lives in a green house. 
B) Susie does not live in a green house. 
C) Susie does not live in a house that is not green. 
D) Susie lives in a blue house. 

3)  If p is true, q is false, and r is true, which of the following is false? 
A) (p and q), or r B)  p and (q or not r) 
C) (p and not q) or not r D)  p and (q or r) 

4)  Determine the truth values of the antecedent and the consequent in the following statements. Which statement is false? 
A) If ostriches are birds, then ostriches have feathers. 
B) If ostriches are birds, then ostriches can fly. 
C) If dolphins are fish, then dolphins live in the water. 
D) If dolphins are birds, then dolphins can fly. 

5)  Use truth tables to determine which statement is logically equivalent to if p, then q. 
A) (not p) and q B)  p and not q C)  p or not q D)  (not p) or q 

6)  If today is Monday, then Mario is home.
Which of the following is the inverse of this statement? 
A) If Mario isn't home, then today is Monday. 
B) If Mario is home, then today is Monday. 
C) If Mario isn't home, then today isn't Monday. 
D) If today isn't Monday, then Mario isn't home. 

7)  You are searching for the book The Old Man and the Sea by Ernest Hemingway. Which of the following key word search combinations would not have your book on its search list? 
A) (Man or Sea) and (Hemingway or Steinbeck) 
B) (Man and Sea) or (Hemingway and Steinbeck) 
C) Man and (Hemingway and Steinbeck) 
D) (Man or Sea) and Hemingway 

8)  If Michelle is promoted, then I will get a raise.
Which of the following is the converse of this statement? 
A) If Michelle isn't promoted, then I won't get a raise. 
B) If I don't get a raise, them Michelle will be promoted. 
C) If I get a raise, then Michelle will be promoted. 
D) If I don't get a raise, then Michelle will not be promoted. 

9)  What is the denial of the proposition? Every triangle has a right angle or two equal sides.
 
10)  What is the denial of the proposition? There is a student in the class with green hair and no 
piercing.