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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

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.

From these statements, we can derive the following:

  • Since some mice are keyboards and no keyboard is a key, it means that some mice are definitely not keys.
  • Since all keys are rings and no keyboard is a key, it means that some rings are definitely not keyboards.

Now, let's analyze the conclusions:

I. Some rings are not keyboards. This conclusion is true as per the derivations from the given statements.

II. All mice being keys is a possibility. This conclusion is false because as per the derivations, some mice are definitely not keys.

So, only conclusion I follows.

This problem has been solved

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