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Question

In the question below some statements are given two conclusions followed by some statements. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of the following statement is true for given conclusions.

Conclusions:

I. Every Tears can be Eyes.

II. Some Smiles can be Ears.

Statements:

A All Tears are Ears. No Ear is an Eye. All Eyes are Smiles. Correct Answer Incorrect Answer
B Only a few Ears are Smiles. No Smile is a Tear. No Tear is an Eye. Correct Answer Incorrect Answer
C Only a few Smiles are Ears. Some Ears are Eyes. Only a few Eyes are Tears. Correct Answer Incorrect Answer
D Some Tears are Smiles. Only a few Smiles are Eyes. No Eye is a Ear. Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

From Statement I. All Tears are Ears (A) + No Ear is an Eye (E) → No Tear is an Eye (E) → Probable conclusion  → No conclusion. Hence conclusion I does not follow. No Ear is an Eye (E) + All Eyes are Smiles (A) → Some Smiles are not Ears (O*). Hence conclusion II does not follow. From Statement II. No Tear is an Eye (E) → No conclusion. Hence conclusion I does not follow. Only a few Ears are Smiles → All Smiles can be Ears (A). Hence conclusion II does not follow. From Statement III. Only a few Eyes are Tears → All Tears can be Eyes (A). Hence conclusion I follows. Only a few Smiles are Ears → All Smiles can be Ears (A). Hence conclusion II does not follow. From Statement IV. Some Tears are Smiles (I) + Only a few Smiles are Eyes (I) → Probable conclusion → All Tears can be Eyes (A). Hence conclusion I follows. Only a few Smiles are Eyes(I) + No Eye is an Ear (E) → Some Smiles are not Ears (O) → Probable conclusion → Some Smiles can be Ears (I). Hence conclusion II follows.

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