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Question

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

Statements:

Some hellos are byes.

Some byes are hi.

All hi are long.

All long are far.

Conclusion:

I. Some far are byes.

II. Some far are hellos.

III. Some long are byes.

IV. Some far are hi.

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

Solution

Some byes are hi(I) + All hi are long(A) ⇒ Some byes are long(I) + All long are far(A) ⇒ Some byes are far(I) ⇒ Conversion ⇒ Some far are byes(I). Hence conclusion I follows. Some hellos are byes(I) + Some byes are hi(I) ⇒ No  conclusion. Hence conclusion II does not follow. Some byes are hi(I) + All hi are long(A) ⇒ Some byes are long(I) ⇒ Conversion ⇒ Some long are byes. (I). Hence conclusion III follows. All hi are long(A) + All long are far(A) ⇒ All hi are far(A) ⇒ Conversion ⇒ Some far are hi(I). Hence conclusion IV follows. ALTERNATE SOLUTION:

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