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 exports are imports.

                                All imports are trades.

                                All trades are carriers.

Conclusions:       I. Some carriers are imports.

II. Some trades are not exports.           

III. Some carriers are exports.

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

Solution

All imports are trades.(A) + All trades are carriers. (A) = All imports are carriers (A) ⇒ conversion ⇒ Some carriers are imports.(I), Hence, conclusion I follows. All exports are imports.(A) + All imports are trades.(A) = All exports are trades. (A) All exports are trades. (A) + All trades are carriers.(A) = All exports are carriers.(A) ⇒ conversion ⇒ Some carriers are exports. (I), Hence, conclusion III follows. Alternate method: Minimal possibilities:

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