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Select the correct answerStatements: Some towns are villages.Some villages are lanes. Some lanes are hamlets.Conclusions: I. Some hamlets are villages.II. Some lanes are towns.III. Some hamlets are not villages.OptionsOnly II followsOnly either I or III followsOnly III followsNone followsOnly I follows

Question

Select the correct answerStatements: Some towns are villages.Some villages are lanes. Some lanes are hamlets.Conclusions: I. Some hamlets are villages.II. Some lanes are towns.III. Some hamlets are not villages.OptionsOnly II followsOnly either I or III followsOnly III followsNone followsOnly I follows

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Solution

The correct answer is "None follows".

Here's the step-by-step reasoning:

  1. The first statement says "Some towns are villages." This means there is an overlap between towns and villages.

  2. The second statement says "Some villages are lanes." This means there is an overlap between villages and lanes. However, there is no information about any connection between towns and lanes.

  3. The third statement says "Some lanes are hamlets." This means there is an overlap between lanes and hamlets. But again, there is no information about any connection between villages and hamlets, or towns and hamlets.

So, looking at the conclusions:

I. "Some hamlets are villages." We don't have any information that directly connects hamlets and villages, so we can't conclude this.

II. "Some lanes are towns." We don't have any information that directly connects lanes and towns, so we can't conclude this.

III. "Some hamlets are not villages." While it's possible that some hamlets are not villages, the statements don't provide enough information to conclude this for certain.

Therefore, none of the conclusions follow from the statements given.

This problem has been solved

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