In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV.
You have to take the given statements to be 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 given statements disregarding commonly known facts.

Statements
All trucks are vans.
All vans are cars.
All cars are trains.

Conclusions
I. All trains are trucks.
II. All cars are trucks.
III. All trucks are trains.
IV. All vans are trains.

All follow

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Both I and II follow

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Both II and III follow

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Both II and IV follows

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None of the above

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Solution

The correct option is E None of the above
Mediate term of the following statement is
All trucks are vans (A-type)
All vans are cars (A-type)
$A + A \to A - t y p e$
All trucks are cars ........(i)
Another mediate term is
All vans are cars (A-type)
All cars are trains (A-type)
$A + A \to A - t y p e$
All vans are trains.........(ii)
(Conclusion IV follows)
From Eq. (i)
All trucks are cars
All cars are trains
All trucks are trains
(Conclusion III follows)

Conclusion III and IV follow.

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Similar questions

In each of the questions below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be 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 given statements disregarding commonly known facts.

Statements
Some cars are buses.
Some buses are trains.
All airplanes are trains.
All trucks are buses.

Conclusions
I. Some airplanes are trucks.
II. Some cars are trains.
III. Some trucks are airplanes.
IV. No truck is a train.

Q. In each of the questions below are given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be 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 given statements disregarding commonly known facts.

Statements
Some beads are chairs.
All chairs are trucks.
Some trucks are bricks.
All bricks are cars.

Conclusions
I. Some cars are chairs.
II. Some cars are trucks.
III.Some trucks are beads.

In each of the questions below are given three statements followed by three Conclusions numbered I, II and III. You have to take the given statements to be 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 given statements disregarding commonly known facts.

Statements :
All stones are rivers.
All rivers are cars.
Some cars are trains.

Conclusions:
I. Some trains are stones.
II. Some cars are stones.
III. Some trains are rivers.

Q. In each of the questions below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be 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 given statements disregarding commonly known facts.

Statements
All stones are rivers.
All rivers are cars.
Some cars are trains.

Conclusions
I. Some trains are stones.
II. Some cars are stones.
III. Some trains are rivers.

Q. In each of the questions below are given four statements followed by two conclusions numbered I and II. You have to take the given statements to be 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 given statements disregarding commonly known facts.

Statements
Some pins are magnets.
Some magnets are scales.
Some scales are trucks.
All trucks are buses.

Conclusions
I. Some trucks are pins.
II. No truck is a pin.

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