Given below are 2 statements followed by 2 conclusions. Choose the conclusion/conclusions that follow(s) the given statements by selecting the right option.
Statements:
I. Some bottles are bags.
II. All bags are pencils.
Conclusions:
I. No bottle is a pencil.
II. Some bottles are pencils
Statements:
I. Some bottles are bags.
II. All bags are pencils.
Conclusions:
I. No bottle is a pencil.
II. Some bottles are pencils
- Both the conclusions I and II follow
- Neither conclusion I nor conclusion II follows
- Only conclusion I follows
- Only conclusion II follows
The Correct Option is D
Solution and Explanation
Analysis of Statements and Conclusions
Step 1: Analyze Statement I
Statement I tells us that some bottles are bags, which means that a portion of bottles could also be bags.
Step 2: Analyze Statement II
Statement II tells us that all bags are pencils, so the bottles that are bags must also be pencils.
Step 3: Analyze Conclusion I
Conclusion I ("No bottle is a pencil") cannot be true because some bottles are bags, and all bags are pencils, meaning those bottles that are bags must also be pencils.
Step 4: Analyze Conclusion II
Conclusion II ("Some bottles are pencils") follows because the bottles that are bags must also be pencils as per Statement II.
Conclusion:
Therefore, only Conclusion II follows.
Final Answer:
The correct answer is (d) Only conclusion II follows.
Top Questions on Syllogisms
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- Statement:
The average age of girls in a class is 17 and the average age of boys in that class is 18.
Conclusions:
I. Every girl is younger than all the boys in the class.
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4. Some sheds are dens.
Conclusions:
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II. No shed is stable.
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