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- 1. Multiple Choice
This symbol, ∧, means?
and
or
not
if, then
- 2. Multiple Choice
This symbol, ∨, means?
and
or
not
if, then
- 3. Multiple Choice
What type of logic is this table showing:
AND
OR
IF, THEN
- 4. Multiple Choice
Let p : Winwin works this summer.
Let q : Winwin takes a vacation.
What is the symbolic representation of this statement?
Therefore, Winwin does not work this summer.
∴~p
∴~q
~p
~q
- 5. Multiple Choice
Which of the following is NOT an acceptable set of possible True and False Combinations
- 6. Multiple Choice
Which of the following set of values would correctly complete this table?
T F F F
T T F F
T T T F
F T F T
- 7. Multiple Choice
Which of the following combinations of truth values would be correct for this truth table?
T F T F
T T T F
F T F T
T F F T
- 8. Multiple Choice
Which of the following sets of truth values would correctly complete this truth table?
F F F T
F T T F
T F T T
F T F T
- 9. Multiple Choice
Which set of truth values would correctly complete this table?
T F T F
F T T T
F F T T
F F F T
- 10. Multiple Choice
Let
p: The wind is blowing.
q: The air is hazy.
r: The weather is dry.
Which of the following represents
"If the wind is blowing then, the air is hazy or the weather is dry"
p ^ (q v r)
p --> (r ^ q)
p ^ (q ^ r)
p --> (q v r)
- 11. Multiple Choice
Let
p: The wind is blowing.
q: The air is hazy.
r: The weather is dry.
Which of the following represents
"The weather is dry if and only if the air is hazy, or the wind is blowing."
(r -----> q) v p
(r <-----> q) v p
r <----->(q v p)
(r v q) ^ p
- 12. Multiple Choice
Which of the following is the correct representation of this truth table?
- 13. Multiple Choice
Let
p: The wind is blowing.
q: The air is hazy.
r: The weather is dry.
The symbolic statement r ----> (p v ~q)
Is written as a worded statement:
If the weather is dry then, the air is not hazy and the weather is not dry.
If the weather is dry then, the wind is blowing or the air is not hazy
If the wind is blowing then, the air is hazy or the weather is not dry
The weather is dry if and only if, the air is hazy or the wind is not blowing
- 14. Multiple Choice
The truth values for the last column are
T F F F F T T T
T T T T T T T T
T T T T T F F F
T T T T F F F F
- 15. Multiple Choice
For a conditional statement to be false the simple statements must be ______ followed by _______
False followed by True
False followed by False
True followed by True
True followed by False
- 16. Multiple Choice
Biconditional statements are true when
both simple statements are true
a true statement is followed by a false statement
at least one simple statement is true
both simple statements have the same truth values
- 17. Multiple Choice
To obtain the truth values for the final column here you would compare ____________________
p with q
p with "and"
q with r
q with "and"
- 18. Multiple Choice
Which column will be the last one to be filled
^
----->
- 19. Multiple Choice
To complete the last column in this truth table, you would compare the _____ column with the _____ column
the "if then column" with the "and" column
p column with the and column
p column with the r column
p column with the. "if then" column
- 20. Fill in the Blank
If there are 5 logical statements, how may possible True and False combinations are there?
- 21. Multiple Choice
Determine the truth value:
2 + 3 = 5 and 2 x 3 = 5
True
False
- 22. Multiple Choice
Which of the following sentences is a statement?
What is the name of the girl?
Congratulations for your achievement!
x+y
I am seven years old.
- 23. Multiple Choice
Find the final column of the truth table for p→~q.
FTTT
TTTT
FFTT
FTFT
- 24. Multiple Choice
Find the final column of the truth table for ~(p ↔ q).
FTTF
TFFT
TTFF
FFTF
- 25. Multiple Choice
Use a truth table to determine if the statement is a tautology, self-contradiction, or neither.
[(p→q) ∧~q] → ~p
neither
self-contradiction
tautology
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