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Question

In the question below some statements are given some 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. No Consumption is a Usage.

II. Some Consumers are not Consumptions.

Statements:

A No Usage is a Producer. Some Producers are Consumers. Some Consumers are Consumptions. Correct Answer Incorrect Answer
B Only Producer are Usages. No Producer is a Consumer. Only a few Consumers are Consumptions. Correct Answer Incorrect Answer
C All Usages are Consumers. No Consumer is a Producer. Some Producers are Consumptions. Correct Answer Incorrect Answer
D No Consumption is a Consumer. A few Consumers are Usages. A few Usages are Producers. Correct Answer Incorrect Answer
E None of the above Correct Answer Incorrect Answer

Solution

From Statement I. No Usage is a Producer (E) + Some Producer are Consumers (I) → Some Consumers are not Usages (O*) + Some Consumers are Consumptions (I) → No conclusion. Hence conclusion I does not follow. Some Consumers are Consumptions (I) → Conversion → Some Consumptions are Consumers (I) → Probable conclusion → Some Consumers are Consumptions (O). Hence conclusion II follows. From Statement II. Only Producer are Usages → All Usages are Producer and Usages can have negative relation with anyone. Hence conclusion I follows. Only a few Consumers are Consumptions → Some Consumers are not Consumptions (O). Hence conclusion II follows.   From Statement III. All Usages are Consumers (A) + No Consumer is a Producer (E) → No Usage is a Producer (E) + Some Producer are Consumptions (I) → Some Consumptions are nor Usages (O*). Hence conclusion I does not follow. No Consumer is a Producer (E) + Some Producer are Consumptions (I) → Some Consumptions are not Consumers (O*). Hence conclusion II does not follow. From Statement IV. No Consumption is a Consumer (E) + A few Consumers are Usages (I) → Some Usages are not Consumptions (O*). Hence conclusion I does not follow. No Consumption is a Consumer (E) → Conversion → Some Consumers are not Consumptions (O). Hence conclusion II follows.

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