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Getting Deeper into Logic: Propositional Logic

Multiple Choice Quiz

Select the correct answer to the following multiple-choice questions by circling the appropriate letter.



1

p v q
~p
\ q
A)Valid
B)Invalid
2

p -> q
q -> r
\ p and r
A)Valid
B)Invalid
3

~(a -> ~b)
\ b
A)Valid
B)Invalid
4

If Bill is elected then Al is elected. Bill is not elected. So, Al is not elected.
A)Valid
B)Invalid
5

If there is rain, the game will be canceled. But the game will not be canceled. So, there isn't any rain.
A)Valid
B)Invalid
6

Its not true that pigeons are reptiles or fish. If pigeons aren't reptiles, then pigeons aren't lizards. So, pigeons must not be lizards.
A)Valid
B)Invalid
7

If Pinkerton does not show then Quail will play third base. Either Wallace will not play catcher or Pinkerton does not show. Hence, if Wallace will play catcher then Quail will play third base.
A)Valid
B)Invalid
8

Its not the case that Alex is invited and Sally is invited. Its not the case that Harold is invited. Thus, Its not the case that Sally is invited and its not the case that Harold is invited.
A)Valid
B)Invalid
9

Either its true that if Jim is late then Nancy is late, or they're driving in separate cars. Its not the case that either Nancy is late or they're driving in separate cars. Thus, if Nancy is not late then Jim is not late.
A)Valid
B)Invalid
10

Its not the case that if Sam makes the team then Frank will make the team. Its not the case that either Sam or Bill will make the team. Thus, Bill won't make the team and Frank will make the team.
A)Valid
B)Invalid