Instructions

In each of these questions, two statements are followed by two conclusions numbered I and II. Assume the given statementsto be true, even if they seem to beat variance with commonly knownfacts and then mark your answer as —

Question 28

Statements:
All cars are not trains.
All cars are four-wheeled vehicles.
Conclusions:
I. All trains are not four-wheeled vehicles.
II. Some trains are four-wheeled vehicles.

Solution

From the statement: "All cars are four-wheeled vehicles." we can say that "cars" is a complete subset of "four wheeled vehicles".
However, from the statement "All cars are not trains.", we cannot say anything whether "trains" forms any overlap/intersection with "four wheeled vehicles" set.
"trains" might be completely included in "four wheeled vehicles", or partially, or completely exclusive.

Hence, neither of the conclusions follow.

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MAT 2003

Statements:All cars are not trains.All cars are four-wheeled vehicles.Conclusions:I. All trains are not four-wheeled vehicles.II. Some trains are four-wheeled vehicles.

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Statements:
All cars are not trains.
All cars are four-wheeled vehicles.
Conclusions:
I. All trains are not four-wheeled vehicles.
II. Some trains are four-wheeled vehicles.