Select the correct answerStatements: All circles are squares. Some squares are rectangles.Conclusions: I. All rectangles being squares is a possibility.II. Can all circles be rectangles?OptionsIf only conclusion II followsIf only conclusion I followsIf both conclusion I and conclusion II followsIf either conclusion I or conclusion II followsIf neither conclusion I nor conclusion II follows
Question
Select the correct answerStatements: All circles are squares. Some squares are rectangles.Conclusions: I. All rectangles being squares is a possibility.II. Can all circles be rectangles?OptionsIf only conclusion II followsIf only conclusion I followsIf both conclusion I and conclusion II followsIf either conclusion I or conclusion II followsIf neither conclusion I nor conclusion II follows
Solution
The correct answer is "If only conclusion I follows".
Here's the step by step reasoning:
Statement 1: All circles are squares. This means every circle is also a square.
Statement 2: Some squares are rectangles. This means there are certain squares which are also rectangles.
Conclusion I: All rectangles being squares is a possibility. This is possible because some squares are rectangles. So, there could be a situation where all rectangles are squares.
Conclusion II: Can all circles be rectangles? This is not necessarily true. While all circles are squares, only some squares are rectangles. So, we cannot say that all circles are rectangles.
Therefore,
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