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Zonal Theorem

Statements: A...

Question

Statements: All drums are tubes.
Some tubes are pipes.
No pipe is a stick.
Some sticks are rubbers.
Conclusions I: Some rubbers are tubes.
Conclusions II: Some sticks are drums.
Conclusions III: Some pipes are drums.
Conclusions IV: Some sticks are tubes.

None follows

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Only I follows

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Only I and II follow

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Only III follows

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None of these

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Solution

The correct option is A None follows

Conclusions I: (False).
Conclusions II: (False).
Conclusions III: (False).
Conclusions IV: (False).
$∴$ None follows.

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Statements: All drums are tubes. Some tubes are pipes. No pipe is a stick. Some sticks are rubbers. Conclusions I: Some rubbers are tubes. Conclusions II: Some sticks are drums. Conclusions III: Some pipes are drums. Conclusions IV: Some sticks are tubes.

The correct option is A None follows Conclusions I: (False). Conclusions II: (False). Conclusions III: (False). Conclusions IV: (False). ∴ None follows.

Statements: All drums are tubes.
Some tubes are pipes.
No pipe is a stick.
Some sticks are rubbers.
Conclusions I: Some rubbers are tubes.
Conclusions II: Some sticks are drums.
Conclusions III: Some pipes are drums.
Conclusions IV: Some sticks are tubes.

The correct option is A None follows

Conclusions I: (False).
Conclusions II: (False).
Conclusions III: (False).
Conclusions IV: (False).
$∴$ None follows.