Question
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. 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.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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