Read the given statement and conclusions carefully and select which of the conclusions logically follow (s) from the statement
Statement:
Some jaguars are cheetahs, Some cheetahs are leopards. All leopards are panthers.
Conclusions:
1. All leopards are jaguars.
2. Some panthers are cheetahs.

Options

A. Only conclusion 2 follows
B. Only conclusion 1 follows
C. Either 1 or 2 follows
D. Both 1 and 2 follows

Answer

To solve the problem, we need to analyze the given statements and conclusions logically. Let's break it down step by step.

### Step 1: Understand the Statements
The statements provided are:
1. Some jaguars are cheetahs.
2. Some cheetahs are leopards.
3. All leopards are panthers.

### Step 2: Visual Representation
To better understand the relationships, we can visualize the statements using Venn diagrams:
- Draw a circle for jaguars and label it.
- Draw a circle for cheetahs that overlaps with the jaguars circle (indicating that some jaguars are cheetahs).
- Draw a circle for leopards that overlaps with the cheetahs circle (indicating that some cheetahs are leopards).
- Draw a larger circle for panthers that completely encompasses the leopards circle (indicating that all leopards are panthers).

### Step 3: Analyze the Conclusions
Now, let's analyze the conclusions based on the visual representation:

#### Conclusion 1: All leopards are jaguars.
- From the statements, we see that there is no direct relationship established between leopards and jaguars. The statements only indicate that some jaguars are cheetahs and some cheetahs are leopards. Therefore, we cannot conclude that all leopards are jaguars.
- **Conclusion 1 is false.**

#### Conclusion 2: Some panthers are cheetahs.
- Since we know that all leopards are panthers and some cheetahs are leopards, it follows that there must be some overlap between panthers and cheetahs. This means that some panthers are indeed cheetahs.
- **Conclusion 2 is true.**

### Step 4: Final Decision
Based on the analysis:
- Conclusion 1 does not logically follow from the statements.
- Conclusion 2 logically follows from the statements.

Thus, the correct answer is that only conclusion 2 follows.

### Summary of the Solution
1. **Conclusion 1**: False (no relation between leopards and jaguars).
2. **Conclusion 2**: True (some panthers are cheetahs).

**Final Answer**: Only conclusion 2 follows.

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