Question:
Choose that set in which the statements are
logically relate(d)
1. All witches are nasty
2. Some devils are nasty
3. All witches are devils
4. All devils are nasty
5. Some nasty are devils
6. No witch is nasty
Choose that set in which the statements are
logically relate(d)
1. All witches are nasty
2. Some devils are nasty
3. All witches are devils
4. All devils are nasty
5. Some nasty are devils
6. No witch is nasty
1. All witches are nasty
2. Some devils are nasty
3. All witches are devils
4. All devils are nasty
5. Some nasty are devils
6. No witch is nasty
Show Hint
Always check if the subset relations align without causing overlap conflicts with universal negatives.
Updated On: Aug 6, 2025
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The Correct Option is C
Solution and Explanation
Step 1: (4) “All devils are nasty” means devils ⊆ nasty.
Step 2: (5) “Some nasty are devils” is consistent with (4).
Step 3: (3) “All witches are devils” places witches inside devils, and therefore inside nasty.
No contradictions arise, so 4, 5, 3 is correct.
Step 2: (5) “Some nasty are devils” is consistent with (4).
Step 3: (3) “All witches are devils” places witches inside devils, and therefore inside nasty.
No contradictions arise, so 4, 5, 3 is correct.
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