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Statements:
All fruits are vegetables. All pens are vegetables. All vegetables are rains.
Conclusions:
  1. All fruits are rains.
  2. All pens are rains.
  3. Some rains are vegetables.
  • a)
    None follows
  • b)
    Only I and II follow
  • c)
    Only II and III follow
  • d)
    Only I and III follow
  • e)
    All follow
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Statements:All fruits are vegetables. All pens are vegetables. All veg...
III is the converse of the third premise and so it holds.
All fruits are vegetables. All vegetables are rains.
The conclusion must be universal affirmative and should not contain the middle term.
So, it follows that 'All fruits are rains'. Thus, I follows.
All pens are vegetables. All vegetables are rains.
Clearly, it follows that 'All pens are rains'. Thus, II follows.
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Most Upvoted Answer
Statements:All fruits are vegetables. All pens are vegetables. All veg...
Analysis:
To determine whether the given conclusions follow the given statements, we need to evaluate the logical connections between the terms in the statements and conclusions.

Given Statements:
1. All fruits are vegetables.
2. All pens are vegetables.
3. All vegetables are rains.

Conclusions:
1. All fruits are rains.
2. All pens are rains.
3. Some rains are vegetables.

Explanation:
Conclusion 1: All fruits are rains.
This conclusion cannot be logically inferred from the given statements. The first statement tells us that all fruits are vegetables, but it does not provide any information about whether fruits are also rains. Therefore, conclusion 1 does not follow.

Conclusion 2: All pens are rains.
Similar to conclusion 1, conclusion 2 cannot be logically inferred from the given statements. The second statement states that all pens are vegetables, but it does not provide any information about whether pens are also rains. Therefore, conclusion 2 does not follow.

Conclusion 3: Some rains are vegetables.
This conclusion can be logically inferred from the given statements. The third statement states that all vegetables are rains. Since all fruits are vegetables (according to the first statement), it follows that some (or at least one) of the rains are vegetables. Therefore, conclusion 3 follows.

Summary:
Among the given conclusions, only conclusion 3 follows logically from the given statements. Therefore, the correct answer is option (c) Only II and III follow.
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Statements:All fruits are vegetables. All pens are vegetables. All vegetables are rains.Conclusions: All fruits are rains. All pens are rains. Some rains are vegetables.a)None followsb)Only I and II followc)Only II and III followd)Only I and III followe)All followCorrect answer is option 'E'. Can you explain this answer?
Question Description
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