Question:
Read the given statements and conclusions carefully. Decide which of the conclusions logically follow(s):
Statements:
1. Some hats are caps.
2. All caps are headgears.
Conclusions:
I. No hat is a headgear.
II. Some headgears are hats.
III. All headgears are caps.
Read the given statements and conclusions carefully. Decide which of the conclusions logically follow(s):
Statements: 1. Some hats are caps.
2. All caps are headgears.
Conclusions: I. No hat is a headgear.
II. Some headgears are hats.
III. All headgears are caps.
Show Hint
When analyzing syllogisms, be cautious of reversed statements. “All A are B” does **not** mean “All B are A.”
Updated On: Apr 23, 2025
- Only conclusion I follows
- Only conclusion II follows
- All conclusions I, II and III follow
- None of the conclusions follow
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The Correct Option is B
Solution and Explanation
- Conclusion I: Incorrect. It is possible that some hats are headgears through caps.
- Conclusion II: Correct. Since some hats are caps and all caps are headgears, some hats are definitely headgears.
- Conclusion III: Incorrect. Not all headgears are necessarily caps; only all caps are headgears, not the reverse.
- Conclusion II: Correct. Since some hats are caps and all caps are headgears, some hats are definitely headgears.
- Conclusion III: Incorrect. Not all headgears are necessarily caps; only all caps are headgears, not the reverse.
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