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Question

In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the two 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 three given statements, disregarding commonly known facts.

Statements:

Some plates are spoons.

All spoons are cups.

No cup is a fork.

Conclusions:

I. Some plates are cups.

II. Some plates are not forks.

III. Some spoons are not forks.

A Only III follows Correct Answer Incorrect Answer
B Only I and III follow Correct Answer Incorrect Answer
C Only II and III follow Correct Answer Incorrect Answer
D All I,II and III follow Correct Answer Incorrect Answer

Solution

Some plates are spoons (I) + All spoons are cups (A) ⇒ Some plates are cups (I) + No cup is a fork(E) ⇒ Some plates are not forks(O) .  Hence, conclusion I and II follow. All spoons are cups(A) + No cup is a fork(E) ⇒ No spoon is a fork ⇒ Conversion ⇒ Some spoons are not forks(O).  Hence, conclusion III follows.

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