**Statements:**

- No Yen is Dollar.
- Some Rupee are Dollar.
- All Paisa are Rupee.

**Conclusions:**

I. Some Rupee are not Yen.

II. Some Rupee are Yen.

Which of the following conclusions logically follows from the given statements?

Question

**Statements:**

- No Yen is Dollar.
- Some Rupee are Dollar.
- All Paisa are Rupee.

**Conclusions:**

I. Some Rupee are not Yen.

II. Some Rupee are Yen.

Which of the following conclusions logically follows from the given statements?

Accepted Answer

**Solution:**

1. From the statement "No Yen is Dollar," it means Yen and Dollar sets do not overlap.

2. "Some Rupee are Dollar" implies there is an intersection between Rupee and Dollar.

3. "All Paisa are Rupee" means the entire Paisa set lies within Rupee.

4. Considering these, since some Rupee are Dollar and no Yen is Dollar, those Rupee which are Dollar cannot be Yen.

5. Therefore, some Rupee are definitely not Yen, so conclusion I follows.

6. Conclusion II states "Some Rupee are Yen." This cannot be concluded because the Rupee that are Dollar cannot be Yen, and there is no information about Rupee overlapping with Yen.

7. Hence, only conclusion I logically follows.

**Answer:** (a) Only I follow

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