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1 mark

Identify the correct option regarding the Statements and Conclusions given:
Statements:
I. Some pumpkins are beetroots.
II. All beetroots are garlic.
III. All garlic are turnips.

Conclusions:
I. Some pumpkins are garlic.
II. All garlic are pumpkins.
III. All beetroots are turnips.

  1. A
    All Conclusions follow.
  2. B
    Only Conclusion I follows.
  3. C
    Only Conclusions I and III follow.
  4. D
    Only Conclusions I and II follow.

Solution & Step-by-step Explanation

Let's analyze the conclusions using Venn diagrams:
* From statement I and II: Since some pumpkins are beetroots and all beetroots are garlic, that overlapping portion of pumpkins is also garlic. Hence, "Some pumpkins are garlic" (Conclusion I) definitely follows.
* From statement II and III: Since all beetroots are garlic and all garlic are turnips, then by transitivity, all beetroots are turnips. Hence, Conclusion III definitely follows.
* Conclusion II states "All garlic are pumpkins", which is not a mandatory condition.

Thus, only Conclusions I and III follow.

Practice this question

Try it yourself before checking the explanation above.

Identify the correct option regarding the Statements and Conclusions given:
Statements:
I. Some pumpkins are beetroots.
II. All beetroots are garlic.
III. All garlic are turnips.

Conclusions:
I. Some pumpkins are garlic.
II. All garlic are pumpkins.
III. All beetroots are turnips.
A
All Conclusions follow.
B
Only Conclusion I follows.
C
Only Conclusions I and III follow.
D
Only Conclusions I and II follow.

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