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Question

In the questions given below, there are four statements followed by some conclusions. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. IF 'R@S' means "All R are S", 'R#S' means "Only a Few S is R", 'R$S' means "All R can be S". 'R≤S' means "Some S are not R". 'R%S' means "Some R are S", 'R&S' means "No R is S"

Statements: Hands # Leg Arms % Leg Ear & Leg Eyes # Ear

Conclusions:

I. Hands % Arms

II. Eyes ≤ Ear

III. Arms $ Ear

IV. Eyes & Hands

A Only conclusions III and IV follow Correct Answer Incorrect Answer
B Only conclusion III follows Correct Answer Incorrect Answer
C Only conclusions II and IV follow Correct Answer Incorrect Answer
D Only conclusions II follows Correct Answer Incorrect Answer
E All of the above conclusions follow Correct Answer Incorrect Answer

Solution

Statements: Only a few Leg is Hands Some Arms is Leg No Ear is Leg Only a few Ear is Eyes Conclusions: I. Some Hands are Arms II. Some Ears are not Eyes III. All Arms can be Ear IV. No Eyes is Hands Some Arms is Leg (I) + Only a few Leg is Hands (I) → No conclusion. Hence conclusion I does not follow. Only a few Ear is Eyes → Some Ears are not Eyes. Hence conclusion II follows. Some Arms is Leg (I) + [No Ear is Leg (E) → Conversion] → No Leg is Ear (E) → Some Arms are not Ear (O) → Probable conclusion → Some Arms can be Ear (I). Hence conclusion III does not follow. No Ear is Leg (E) + Only a few Leg is Hands (I) → Some Hands are not Ears (O) + Only a few Ear is Eyes (I) → No conclusion. Hence conclusion IV does not follow.

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