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Science
/ Logic Quiz 1
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Can you name the TRUE or FALSE value of each logical statement?
by
The_Professor
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Using standard rules of logic, each statement below can be uniquely determined to be TRUE or FALSE.
Also try:
Logic Quiz 2
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Logical statement
TRUE or FALSE value
Explanation
1. All statements on this quiz are FALSE.
TRUE would be self-contradictory.
2. All statements on this quiz are TRUE.
Follows from answer 1.
3. At least one statement on this quiz is FALSE.
Follows from answer 1 or 2.
4. At least one statement on this quiz is TRUE.
Follows from answer 3.
5. This statement has the same answer as statement 6.
If FALSE, then what could answer 6 be?
6. This statement has the same answer as statement 5.
Follows from answer 5.
7. This statement has the same answer as statement 8.
If TRUE, then what could answer 8 be?
8. This statement has a different answer than statement 7.
Follows from answer 7.
Logical statement
TRUE or FALSE value
Explanation
9. Statements 9 and 10 are both FALSE.
TRUE would be self-contradictory.
10. This statement is TRUE.
Follows from answer 9.
11. Statements 11 and 12 are not both TRUE.
FALSE would be self-contradictory.
12. This statement is TRUE.
Follows from answer 11.
13. If statement 14 is TRUE then statement 15 is TRUE.
The total number of answers is 15 which is odd, so statements 14 and 15 are either both TRUE or both FALSE.
14. The number of TRUE answers on this quiz is odd.
If 14 and 15 were both TRUE, the number of TRUE answers would be 10 which is even.
15. The number of FALSE answers on this quiz is even.
Follows from answers 13 and 14.
1. All statements on this quiz are FALSE.
Follows from answers 13 and 14.
2. All statements on this quiz are TRUE.
Follows from answers 13 and 14.
3. At least one statement on this quiz is FALSE.
Follows from answers 13 and 14.
4. At least one statement on this quiz is TRUE.
Follows from answers 13 and 14.
5. This statement has the same answer as statement 6.
Follows from answers 13 and 14.
6. This statement has the same answer as statement 5.
Follows from answers 13 and 14.
7. This statement has the same answer as statement 8.
Follows from answers 13 and 14.
8. This statement has a different answer than statement 7.
Follows from answers 13 and 14.
9. Statements 9 and 10 are both FALSE.
Follows from answers 13 and 14.
10. This statement is TRUE.
Follows from answers 13 and 14.
11. Statements 11 and 12 are not both TRUE.
Follows from answers 13 and 14.
12. This statement is TRUE.
Follows from answers 13 and 14.
13. If statement 14 is TRUE then statement 15 is TRUE.
Follows from answers 13 and 14.
14. The number of TRUE answers on this quiz is odd.
Follows from answers 13 and 14.
15. The number of FALSE answers on this quiz is even.
Follows from answers 13 and 14.
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