MULTI-CHOICE QUIZ

QUESTION 1

Write the conditional statement in its equivalent disjunctive form.

If she could sing, she would be perfect for the part.

1) She can sing or she would not be perfect for the part.

2) She cannot sing or she would not be perfect for the part.

3) She cannot sing and she would not be perfect for the part.

4) She cannot sing or she would be perfect for the part.

5) She can sing or she would be perfect for the part.

QUESTION 2

Write the sentence in symbolic form. Use v, p, and t as defined below.

• v: "I will take a vacation."
• p: "I get the promotion."
• t: "I will be transferred."

If I get the promotion, I will take a vacation.

1) t p

2) v p

3) p v

4) v t

QUESTION 3

Consider the following statement.

If you are the president of the United States, then your age is at least 35.

A. Write the converse of the given statement.

1) If you are not the president of the United States, then your age is less than 35.

2) If your age is less than 35, then you are the president of the United States.

3) If you are the president of the United States, then your age is less than 35.

4) If your age is at least 35, then you are the president of the United States.

5) If you are not the president of the United States, then your age is at least 35.

6) If your age is less than 35, then you are not the president of the United States.

B. Write the inverse of the given statement.

1) If you are not the president of the United States, then your age is less than 35.

2) If your age is less than 35, then you are the president of the United States.

3) If you are the president of the United States, then your age is less than 35.

4) If your age is at least 35, then you are the president of the United States.

5) If you are not the president of the United States, then your age is at least 35.

6) If your age is less than 35, then you are not the president of the United States.

C. Write the contrapositive of the given statement.

1) If you are not the president of the United States, then your age is less than 35.

2) If your age is less than 35, then you are the president of the United States.

3) If you are the president of the United States, then your age is less than 35.

4) If your age is at least 35, then you are the president of the United States.

5) If you are not the president of the United States, then your age is at least 35.

6) If your age is less than 35, then you are not the president of the United States.

QUESTION 4

Use all of the premises to determine a valid conclusion for the given argument.

If it is a theropod, then it is not herbivorous. If it is not herbivorous, then it is not a sauropod. It is a sauropod.

1) Therefore, it is not a sauropod.

2) Therefore, it is a theropod.

3) Therefore, it is not a theropod.

4) Therefore, it is not herbivorous.

QUESTION 5

Write the symbolic statement in words. Use p, q, r, s, t, and u as defined below.

p: The tour goes to Italy.

q: The tour goes to Spain.

r: We go to Venice.

s: We go to Florence.

t: The hotel fees are included.

u: The meals are not included.

s ~r

1) We will go to Florence if and only if we do not go to Venice.

2) If we go to Florence, then we will not go to Venice.

3) We will go to Venice if and only if we do not go to Florence.

4) We will go to Florence or we will go to Venice.

5) If we do not go to Venice, then we will go to Florence.