In each of the questions, some statements are given below followed by two conclusions. You have to assume the given statements are true even if they contradict commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the statements, ignoring common knowledge.

**Statements:**
- Only a few Perfumes are Shoes
- Some Mirror is Dress
- No Shoes is Dress

**Conclusions:**
I. Some Perfumes are not Dress
II. All Perfumes can never be Mirror

Which of the following is correct?

Question

In each of the questions, some statements are given below followed by two conclusions. You have to assume the given statements are true even if they contradict commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the statements, ignoring common knowledge.

**Statements:**
- Only a few Perfumes are Shoes
- Some Mirror is Dress
- No Shoes is Dress

**Conclusions:**
I. Some Perfumes are not Dress
II. All Perfumes can never be Mirror

Which of the following is correct?

Accepted Answer

**Solution:**

1. Analyze the statements:
   - "Only a few Perfumes are Shoes" means some Perfumes are Shoes, but not all.
   - "Some Mirror is Dress" means there is some overlap between Mirror and Dress.
   - "No Shoes is Dress" means Shoes and Dress are mutually exclusive sets.

2. Evaluate Conclusion I: "Some Perfumes are not Dress"
   - Since no Shoes is Dress and only some Perfumes are Shoes, those Perfumes which are Shoes cannot be Dress.
   - Therefore, at least those Perfumes that are Shoes are not Dress.
   - Hence, Conclusion I logically follows.

3. Evaluate Conclusion II: "All Perfumes can never be Mirror"
   - The statements do not provide any direct relation between Perfumes and Mirror.
   - Since some Mirror is Dress and no Shoes is Dress, there is no information to conclude that all Perfumes can never be Mirror.
   - Therefore, Conclusion II does not logically follow.

**Answer:** (a) If only conclusion I follows

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