Statements: 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.OptionsNone followsOnly II followsOnly either I or III followsOnly III followsOnly I follows
Question
Statements: 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.OptionsNone followsOnly II followsOnly either I or III followsOnly III followsOnly I follows
Solution
The given statements are:
- Some towns are villages.
- Some villages are lanes.
- Some lanes are hamlets.
From these statements, we can draw the following conclusions:
I. Some hamlets are villages. This conclusion does not necessarily follow from the given statements. While some lanes are hamlets, and some villages are lanes, it does not necessarily mean that some hamlets are villages. The hamlets could be part of the lanes that are not villages.
II. Some lanes are towns. This conclusion also does not necessarily follow from the given statements. While some villages are lanes, and some towns are villages, it does not necessarily mean that some lanes are towns. The lanes could be part of the villages that are not towns.
III. Some hamlets are not villages. This conclusion could potentially follow from the given statements. Since only some lanes are hamlets, and only some villages are lanes, it is possible that there are hamlets that are not villages.
Therefore, the correct option is "Only III follows".
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