Elective Mathematics

Question 1

1A contradiction is true in some cases.

Easy

A. True B. False

Question 2

2The converse of a true implication is always true.

Easy

A. True B. False

Question 3

3"x + 2 = 5" is a statement.

Medium

A. True B. False

Question 4

4The implication p ⇒ q is false only when

Medium

A. p is false and q is true B. p is true and q is false C. both are false D. both are true

Question 5

5A tautology is a statement that is

Easy

A. always true B. always false C. never defined D. sometimes true

Question 6

6For p = F and q = F, p ∧ q = ___ (T or F)

Easy

Your answer (fill in the blank)

Question 7

7The converse of p ⇒ q is

Easy

A. p ⇒ ~q B. ~q ⇒ ~p C. ~p ⇒ ~q D. q ⇒ p

Question 8

8For p = T and q = T, p ∧ q = ___ (T or F)

Easy

Your answer (fill in the blank)

Question 9

9A statement is a sentence that is

Easy

A. a question B. either true or false C. a command D. an exclamation

Question 10

10The conjunction p ∧ q is true only when

Easy

A. p is false B. both p and q are true C. both are false D. either is true