In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

Some rings are gold.

All gold is hot.

Some hot are red.

Conclusions:

I. Some gold are rings.

II. Some hot are gold.

III. Some red are hot. 

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  1. All the conclusions follow. 
  2. Only conclusion III follows. 
  3. Only conclusion I follows.
  4. Only conclusion II follows. 

Answer (Detailed Solution Below)

Option 1 : All the conclusions follow. 
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Detailed Solution

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The least possible Venn diagram for the given statements is as shown below :

qImage67000de4ec29768990ae6f84

Conclusions:

I. Some gold are rings→ Follow (As some rings are gold. As some part of rings is common with gold, therefore it is true.)

II. Some hot are gold → Follow (As all gold is hot.  As whole gold comes in hot, therefore it is true.)

III. Some red are hot → Follow (As some hot are red. As some part of hot is common with red, therefore it is true.)

∴ Here, All the conclusions follow.

Hence, the correct answer is "Option 1"

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