Statements: All liquids are solids. Some solids are gases. All gases are cloudsConclusion:I. Some clouds are solids II. Some clouds are liquidsIII. Some gases are liquids IV. Some solids are cloudsChoices:- None follows Only I and II follow Only III and IV follow Only I and IV follow
Question
Statements: All liquids are solids. Some solids are gases. All gases are cloudsConclusion:I. Some clouds are solids II. Some clouds are liquidsIII. Some gases are liquids IV. Some solids are cloudsChoices:- None follows Only I and II follow Only III and IV follow Only I and IV follow
Solution
The conclusions can be derived from the statements as follows:
Statement 1: All liquids are solids. Statement 2: Some solids are gases. Statement 3: All gases are clouds.
Conclusion I: Some clouds are solids. This follows because all gases are clouds and some solids are gases, so some clouds must be solids.
Conclusion II: Some clouds are liquids. This does not follow because while all liquids are solids, not all solids are clouds. Therefore, we cannot say that some clouds are liquids.
Conclusion III: Some gases are liquids. This does not follow because while all liquids are solids, not all solids are gases. Therefore, we cannot say that some gases are liquids.
Conclusion IV: Some solids are clouds. This follows because some solids are gases and all gases are clouds, so some solids must be clouds.
So, the correct choice is "Only I and IV follow".
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