Elective Mathematics

Question 1

1The truth value of (T → F) ∨ (F → T) is

Hard

A. T B. both C. F D. cannot tell

Question 2

2The implication "if p then q" (p → q) is false only when

Easy

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

Question 3

3The inverse of p → q is

Easy

A. ~q → ~p B. q → p C. ~p → ~q D. p ∧ q

Question 4

4The disjunction p ∨ q is false only when

Easy

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

Question 5

5p ∨ q is false only when

Easy

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

Question 6

6A statement that is always true is a

Easy

A. converse B. premise C. contradiction D. tautology

Question 7

7p ∧ q is true only when

Easy

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

Question 8

8p → q is false only when

Easy

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

Question 9

9The converse of p → q is

Easy

A. ¬q → ¬p B. p ∧ q C. ¬p → ¬q D. q → p

Question 10

10The negation of "It is raining" is

Easy

A. It rained B. It will rain C. It is not raining D. It is sunny