In this question, two statements
are given followed by two conclusions. Choose the
conclusion(s) which best fit(s) logically.
Statements:
1) Some hats are caps. 2) Some caps are mats.
Conclusions:
I. Some caps are hats.
II. Some mats are caps.
-
A.
Only conclusion II follows
-
B.
Both conclusions I and II follow
-
C.
Only conclusion I follows
-
D.
Either conclusion I or II follows
Correct Answer:
B. Both conclusions I and II follow
Explanation:
Based on the logical analysis of the provided statements, the correct answer is that both conclusions follow. To understand why, we can examine the relationships: - The first statement, "Some hats are caps," establishes an intersection between the group of hats and the group of caps. Because this relationship is reciprocal, it automatically means that "Some caps are hats." Therefore, Conclusion I is valid. - The second statement, "Some caps are mats," establishes a similar intersection between caps and mats. This also works both ways, confirming that "Some mats are caps." Consequently, Conclusion II is also valid.Since both conclusions are direct, logical reversals of the given statements, the final result is that both conclusions I and II follow.
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