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All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.

Question

All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.

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Solution

Both conclusion I and conclusion II follow.

Here's why:

Conclusion I: No bottle is a cup. This is true because all bottles are glasses and no cup is a glass. Therefore, it is impossible for a bottle to be a cup.

Conclusion II: At least some glasses are bottles. This is also true because the statement says that all bottles are glasses. This means that there are definitely some glasses that are bottles.

So, both conclusions follow the given statements.

This problem has been solved

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