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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some villagers are farmers. All businessmen are farmers. Some city dwellers are businessmen. Conclusions: I. Some businessmen being villagers is a possibility. II. Some villagers are city dwellers. III. Some city dwellers are farmers.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some villagers are farmers. All businessmen are farmers. Some city dwellers are businessmen. Conclusions: I. Some businessmen being villagers is a possibility. II. Some villagers are city dwellers. III. Some city dwellers are farmers. Correct Answer Only conclusions I and III follow

Least possible Venn diagram:

[ alt="F4 Savita SSC 09-5-22 Pooja S D3" src="//storage.googleapis.com/tb-img/production/22/05/F4_Savita_SSC_09-5-22_Pooja%20S_D3.png" style="width: 338px; height: 174px;">

Conclusions:

I. Some businessmen being villagers is a possibility → Follow (As all businessmen are farmers and Some villagers are farmers so it is a possibility that Some businessmen are villagers).

This Possible scenario can be shown by the following Venn diagram:

[ alt="F4 Savita SSC 09-5-22 Pooja S D3" src="//storage.googleapis.com/tb-img/production/22/05/F4_Savita_SSC_09-5-22_Pooja%20S_D3.png" style=" width: 338px; height: 174px;">

As we can see from this Venn diagram, some businessmen could be villagers.

II. Some villagers are city dwellers → Doesn't Follow (according to the given statements Some villagers are farmers, all businessmen are farmers, and Some city dwellers are businessmen. so we can say that it could be possible that Some villagers are city dwellers).

This Possible scenario can be shown by the following Venn diagram:

[ alt="F4 Savita SSC 09-5-22 Pooja S D3" src="//storage.googleapis.com/tb-img/production/22/05/F4_Savita_SSC_09-5-22_Pooja%20S_D3.png" style=" width: 338px; height: 174px;">

As we can see from this Venn diagram, some villagers could be city dwellers.

III. Some city dwellers are farmers → Follow (As some city dwellers are businessmen and all businessmen are farmers. so Some city dwellers are definitely farmers)

Hence, the correct answer is "Only conclusions I and III follow".

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