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    Question

    In the question below some statements are given some conclusions followed by some statements. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of the following statement is true for given conclusions.

    Conclusions: I. All Drivers can be

    Conductors. II. Some Tractors are Cars. III. Few Cars are not Tram.  Statements: 
    A Only Conductors are Cars. All Drivers are Tractors. Some Trams are Conductors. Some Drivers are Trams. Correct Answer Incorrect Answer
    B All Drivers are Cars. Some Tractors are Conductors. All Conductors are Cars. No Driver is a Tram. Correct Answer Incorrect Answer
    C All Cars are Tractors. Only a few Tractors are Trams. Some Drivers are Conductors. Few Trams are Drivers. Correct Answer Incorrect Answer
    D All Conductors are Cars. All Cars are Tractors. All Tractors are Trams. No Tram is a Driver. Correct Answer Incorrect Answer
    E Only option 'a' and 'd' Correct Answer Incorrect Answer

    Solution

    From Statement I. Some Drivers are Trams (I) + Some Trams are Conductors (I) → Probable conclusion → All Drivers can be Conductors (A). Hence conclusion I follows. Only Conductors are Cars → All Cars are Conductors and Cars cannot have positive relation with anyone. Hence conclusion II does not follow but conclusion III follows.   From Statement II. All Drivers are Cars (A) + [All Conductors are Cars (A) → Conversion → Some Cars are Conductors (I) → Probable conclusion → All Drivers can be Conductors (A). Hence conclusion I follows. Some Tractors are Conductors (I) + All Conductors are Cars (A) → Some Tractors are Cars (I). Hence conclusion II follows. No driver is a Tram (E) → Conversion → No Tram is a Driver (E) + All Drivers are Cars (A) → Some Cars are not Tram (O*). Hence conclusion III follows. From Statement III. Some Drivers are Conductors (I) → Probable conclusion → All Drivers can be Conductors (A). Hence conclusion I follows. All Cars are Tractors (A) → Conversion → Some Tractors are Cars (I) Hence conclusion II follows. All Cars are Tractors (A) + Only a few Tractors are Trams (I) → No conclusion. Hence conclusion III does not follow. From Statement IV. All Conductors are Cars (A) + All Cars are Tractors (A) →   All Conductors are Tractors (A) + All Tractors are Trams (A) → All Conductors are Trams (A) + No Tram is a Driver (E) → No Conductor is a Driver (E). Hence conclusion I does not follow. All Cars are Tractors (A) → Conversion → Some Tractors are Cars (I) Hence conclusion II follows. All Cars are Tractors (A) + All Tractors are Trams (A) → All Cars are Trams (A). Hence conclusion III does not follow.

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