Statements: All clouds are sky. Some sky is blue. Conclusions: I. All sky is cloud. II. Some clouds are blue.

Correct answer: A. None

  • A. None
  • B. Only II
  • C. Only I
  • D. Both

Explanation

The correct answer is Option A: None.To solve this, consider the following:The first statement, 'All clouds are sky', tells us that the set of clouds is entirely contained within the set of sky. This does not imply that the entire set of sky is clouds, so Conclusion I is incorrect.The second statement, 'Some sky is blue', means there is an intersection between the set of sky and the set of blue, but it does not necessarily include clouds. Therefore, Conclusion II does not logically follow because there is no direct information linking clouds to blue.Thus, neither conclusion follows logically from the given statements.

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About Logical Deductions

Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.

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