Consider the following statements:

- All Nokia are Motorola.
- All Motorola are Samsung.
- Some Samsung are Redmi.

Based on these statements, identify which of the following conclusions **does not logically follow**:

Question

Consider the following statements:

- All Nokia are Motorola.
- All Motorola are Samsung.
- Some Samsung are Redmi.

Based on these statements, identify which of the following conclusions **does not logically follow**:

Accepted Answer

**Solution:**

1. From the statements:
   - All Nokia are Motorola.
   - All Motorola are Samsung.

This implies all Nokia are also Samsung (since all Nokia are Motorola and all Motorola are Samsung).

2. Some Samsung are Redmi means there is some overlap between Samsung and Redmi.

3. Now, analyze each conclusion:

(a) Some Motorola can be Redmi:
   - Since all Motorola are Samsung and some Samsung are Redmi, it is possible that some Motorola are Redmi. So, this conclusion can follow.

(b) Some Nokia can be Samsung:
   - Since all Nokia are Samsung, definitely some Nokia are Samsung. So, this conclusion follows.

(c) All Redmi can be Nokia:
   - There is no information that all Redmi are Nokia. Only some Samsung are Redmi, and Nokia is a subset of Samsung, but Redmi may or may not be Nokia. Hence, this conclusion does not logically follow.

(d) All Nokia are Samsung:
   - Since all Nokia are Motorola and all Motorola are Samsung, this is true.

(e) Some Samsung are Nokia:
   - Since all Nokia are Samsung, some Samsung are Nokia is true.

**Answer:** (c) All Redmi can be Nokia

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