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Consider the given statements to be true...

Consider the given statements to be true even if they seem to be at variance with the commonly known facts and decide which of the given conclusions logically follows from the statements.
Statements:
Some Penguins are Peacocks. All the Peacocks are Snakes.
Conclusions:
1. Some penguins are snakes.
2. No peacock is a penguin.

A

Either 1 or 2 follows

B

Only 2 follows

C

Neither 1 nor 2 follows.

D

Only 1 follows

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given statements and conclusions logically. ### Step-by-Step Solution: 1. **Understand the Statements**: - Statement 1: Some Penguins are Peacocks. - Statement 2: All Peacocks are Snakes. 2. **Interpret the Statements**: - From Statement 1, we can infer that there is an intersection between the set of Penguins and the set of Peacocks. This means that at least some Penguins belong to the group of Peacocks. - From Statement 2, we understand that the entire group of Peacocks falls under the category of Snakes. Therefore, every Peacock is also a Snake. 3. **Draw Conclusions**: - **Conclusion 1**: Some Penguins are Snakes. - Since some Penguins are Peacocks (from Statement 1) and all Peacocks are Snakes (from Statement 2), it logically follows that some Penguins must also be Snakes. Therefore, Conclusion 1 is true. - **Conclusion 2**: No Peacock is a Penguin. - This conclusion contradicts Statement 1, which states that some Penguins are Peacocks. If some Penguins are indeed Peacocks, then it is impossible for no Peacock to be a Penguin. Thus, Conclusion 2 is false. 4. **Final Decision**: - Based on the analysis, we conclude that: - Conclusion 1 is true. - Conclusion 2 is false. ### Answer: The correct answer is that only Conclusion 1 follows from the statements.
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