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Statements:Some mice are keyboards.No keyboard is a key.All keys are rings.Conclusions:I. Some rings are not keyboards.II. All mice being keys is a possibility.if only conclusion I followsif only conclusion II followsif either conclusion I or II followsBoth conclusion I and conclusion II follows.if both conclusions I and II follow

Question

Statements:Some mice are keyboards.No keyboard is a key.All keys are rings.Conclusions:I. Some rings are not keyboards.II. All mice being keys is a possibility.if only conclusion I followsif only conclusion II followsif either conclusion I or II followsBoth conclusion I and conclusion II follows.if both conclusions I and II follow

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Solution

The given statements are:

  1. Some mice are keyboards.
  2. No keyboard is a key.
  3. All keys are rings.

Let's analyze the conclusions:

I. Some rings are not keyboards. This conclusion is true. Since all keys are rings and no keyboard is a key, it follows that some rings (those that are keys) are not keyboards.

II. All mice being keys is a possibility. This conclusion is false. Since some mice are keyboards and no keyboard is a key, it is not possible for all mice to be keys.

Therefore, only conclusion I follows.

This problem has been solved

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