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Question

In each of the questions below are given three statements followed by three conclusions numbered I, II and III. 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: All gates are lights.

No street is a gate.

All lights are houses.

Conclusions I. All gates are houses.

II. Some houses are not lights.

III. Some lights are streets.

A Only I and II follows Correct Answer Incorrect Answer
B Only III follows Correct Answer Incorrect Answer
C Only I follows Correct Answer Incorrect Answer
D All I, II and III follow Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

All gates are lights(A) + All lights are houses(A) ⇒ All gates are houses(A). Hence, conclusion I follows. All lights are houses(A) ⇒ Conversion ⇒ Some houses are lights (I). Hence, conclusion II does not follow. No street is a gate(E) + All gates are lights(A) ⇒ Some lights are not streets(O*). Hence, conclusion III does not follow.

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