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Question

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

Statements: Only cars are motorcycles.

No motorcycle is a bike.

Some bikes are scooters.

All scooters are jeeps.

Conclusions: I. Some bikes are cars.

II. No bikes are cars.

III. Some scooters are not motorcycles.

IV. No bike is a motorcycle.

A Only III and IV follow Correct Answer Incorrect Answer
B Either I or II, III and IV follow Correct Answer Incorrect Answer
C Only either I or II follows Correct Answer Incorrect Answer
D Only II, III and IV follow Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Some cars are motorcycles (I) + No motorcycles is a bike (E) = some cars are not bikes (O). Hence, neither conclusion I nor conclusion II follows. However, conclusion I and II makes a complementary pair, hence either conclusion I or II will follow. No motorcycle is a bike (E) + Some bikes are scooters (I) = Some scooters are not motorcycles (O).Hence, Conclusion III will follow. No motorcycle is a bike (E)`=>` Conversion`=>` No bike a motorcycle (E).Hence, Conclusion IV will follow.

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