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Choose the conclusion that logically follows from the given statements.Statements:Some bottles are cupsSome cups are pens Conclusions:1) Some bottles are pens.2) Some Pens are bottles.3) All the pens are cups4) All the cups are bottles.

Question

Choose the conclusion that logically follows from the given statements.Statements:Some bottles are cupsSome cups are pens Conclusions:1) Some bottles are pens.2) Some Pens are bottles.3) All the pens are cups4) All the cups are bottles.

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Solution

Based on the given statements, we can't definitively conclude any of the provided conclusions. Here's why:

  1. Some bottles are pens: We know that some bottles are cups and some cups are pens, but this doesn't necessarily mean that some bottles are pens. The bottles that are cups might not be the same cups that are pens.

  2. Some pens are bottles: Similar to the first conclusion, we can't definitively say this based on the given statements.

  3. All the pens are cups: The statement says that only some cups are pens, not all, so this conclusion doesn't follow.

  4. All the cups are bottles: The statement says that only some bottles are cups, not all, so this conclusion doesn't follow.

So, none of the conclusions logically follow from the given statements.

This problem has been solved

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