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Question

Statements:
Some flowers are rods.
Some rods are doors.
Some doors are houses.

Conclusions:
I. Some houses are flowers.
II. Some doors are flowers.
III. Some flowers are doors.
IV. No house is flower.


A

if either Conclusion I or II follows

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B

if either Conclusion I or IV follows

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C

if both the Conclusions II and III follow

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D

if both the Conclusions I and IV follow

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Solution

The correct option is B

if either Conclusion I or IV follows


Clearly, each combination of premises shall contain two particular premises and as such no definite conclusion follows.
However, I and IV are contradictory statements involving only the extreme terms and none of the middle term 'rods' or 'doors'. Thus, they form a complementary pair.
So, either I or IV follows.


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