**Statements:**

- All Deepak are Gourav.
- Some Nitin are Farida.
- No Deepak are Farida.

Which of the following conclusions **does not logically follow** from the statements?

Question

**Statements:**

- All Deepak are Gourav.
- Some Nitin are Farida.
- No Deepak are Farida.

Which of the following conclusions **does not logically follow** from the statements?

Accepted Answer

**Solution:**

1. **Given Statements:**
   - All Deepak are Gourav.
   - Some Nitin are Farida.
   - No Deepak are Farida.

2. **Analyze each conclusion:**

(a) *Some Gourav can be Nitin*:
   - Since all Deepak are Gourav and some Nitin are Farida, there is no direct contradiction to some Gourav being Nitin. This is possible.

(b) *All Deepak can be Nitin*:
   - Since no Deepak are Farida and some Nitin are Farida, it is possible that all Deepak are Nitin (those Nitin who are not Farida). So this can be true.

(c) *All Nitin can be Deepak*:
   - This means every Nitin is a Deepak.
   - But some Nitin are Farida, and no Deepak are Farida.
   - Therefore, Nitin who are Farida cannot be Deepak.
   - Hence, this conclusion **does not follow**.

(d) *Some Gourav are not Farida*:
   - Since all Deepak are Gourav and no Deepak are Farida, at least those Gourav who are Deepak are not Farida.
   - So this conclusion follows.

(e) *Some Gourav are Deepak*:
   - Since all Deepak are Gourav, some Gourav are definitely Deepak.
   - So this conclusion follows.

**Answer:** (c) All Nitin can be Deepak does not logically follow from the statements.

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