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In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pen are black.
II. Some pen are blue.
III. No black is red.
Conclusions:
I. No pen is red.
II. Some blue are black.
III. Some black are pens.
  • a)
    Only I
  • b)
    Only II
  • c)
    Only III
  • d)
    Only II and III
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the following question below are given some statements followed by ...
Given Statements:
I. Some pen are black.
II. Some pen are blue.
III. No black is red.

Conclusions:
I. No pen is red.
II. Some blue are black.
III. Some black are pens.

Explanation:

Conclusion I: No pen is red.
This conclusion can be drawn from the given statements. Statement III states that "No black is red." Since some pens are black (statement I), it implies that no pen can be red. Therefore, Conclusion I follows logically from the given statements.

Conclusion II: Some blue are black.
This conclusion cannot be logically drawn from the given statements. While it is true that some pens are black (statement I) and some pens are blue (statement II), there is no direct information provided about the relationship between black and blue pens. Therefore, Conclusion II does not logically follow the given statements.

Conclusion III: Some black are pens.
This conclusion can be drawn from the given statements. Statement I states that "Some pen are black." Since black pens are pens, it can be concluded that some black are pens. Therefore, Conclusion III follows logically from the given statements.

Conclusion Summary:
Based on the given statements, the conclusions can be summarized as follows:
- Conclusion I: No pen is red.
- Conclusion II: Some blue are black. (Does not follow)
- Conclusion III: Some black are pens.

Therefore, the correct answer is option 'C' (Only III).
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