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Question

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

Statements:

Some bikes are cars.

Some cars are motors.

No motor is cycle.

Conclusions:

I. Some cycle are definitely bikes.

II. At least some motors are bikes.

III. All cars being bikes is a possibility.

IV. No bike is cycle.

A I, II and III follow. Correct Answer Incorrect Answer
B II, III and IV follow Correct Answer Incorrect Answer
C Either I or IV and II follows Correct Answer Incorrect Answer
D Either I or IV and III follows Correct Answer Incorrect Answer
E None of the above Correct Answer Incorrect Answer

Solution

Some bikes are cars(I) + Some cars are motors(I) ⇒ No conclusion. Hence conclusion I, II and IV does not follow but conclusion I and IV will form a complementary pair. Hence either conclusion I or IV follow. Some bikes are cars(I) ⇒ Conversion ⇒ Some cars are bikes(I) ⇒ Probable conclusion ⇒ All cars being bikes is a possibility.(A). Hence conclusion III follows. ALTERNATE SOLUTION: Minimal possibility:

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