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Standard XII

Physics

Dimensional Analysis

Statements: A...

Question

Statements: All aeroplanes are trains. Some trains are chairs.
Conclusions:
I. Some aeroplanes are chairs.
II. Some chairs are aeroplanes.
III. Some chairs are trains.
IV. Some trains are aeroplanes.

None follows

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Only I and II follow

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Only II and III follow

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Only III and IV follow

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Solution

The correct option is A Only III and IV follow
Since the middle term 'trains' is not distributed even once in the/premises, no definite conclusion follows. However, III is the converse of the second premise while IV is the converse of the first premise. So, both of them hold.

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Similar questions

In each of the following questions two statements followed by four conclusions numbered I, II, III and IV are given, You have to take the two given statements to take true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the statements.

Statements
All aeroplanes are trains.
Some trains are chairs.

Conclusions
I. Some aeroplanes are charis.
II. Some chairs are aeroplanes.
III. Some chairs are trains.
IV. Some trains are aeroplanes.

Statements:

Some handles are chairs.

All chairs are pots.

All pots are mats.

Some mats are buses.

Conclusions:

I. Some buses are chairs.

II. Some mats are handles.

III. No bus is chair.

IV. Some mats are chairs.

Q. Statement:
Some tablets are rains.
All dogs are rains.
All rains are chairs.
Conclusion:
I. Some chairs are tablets.
II. All dogs are chairs.
III. Some tablets are dogs.
IV. Some tablets are chairs.

Q. Statements: Some chairs are pencils.
Some pencils are bottles.
Some bottles are bags.
Some bags are books.
Conclusions I: Some books are pencils.
Conclusions II: Some bottles are chairs.
Conclusions III: No book is a pencil.
Conclusions IV: Some bags are chairs.

Statement

All chairs are pens

All flowers are pens

All pens are trucks

All trees are trucks

Conclusions

I. Some trucks are chairs

II. Some trucks are pens

III. Some trees are chairs

IV. Some trees are pens

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Statements: All aeroplanes are trains. Some trains are chairs.Conclusions: I. Some aeroplanes are chairs.II. Some chairs are aeroplanes.III. Some chairs are trains.IV. Some trains are aeroplanes.

The correct option is A Only III and IV followSince the middle term 'trains' is not distributed even once in the/premises, no definite conclusion follows. However, III is the converse of the second premise while IV is the converse of the first premise. So, both of them hold.

Statements: All aeroplanes are trains. Some trains are chairs.
Conclusions:
I. Some aeroplanes are chairs.
II. Some chairs are aeroplanes.
III. Some chairs are trains.
IV. Some trains are aeroplanes.

The correct option is A Only III and IV follow
Since the middle term 'trains' is not distributed even once in the/premises, no definite conclusion follows. However, III is the converse of the second premise while IV is the converse of the first premise. So, both of them hold.