Statements:

1. All bottles are pens.

2. All pens are bags.

3. Some bags are shoes.

Conclusions:

I. All shoes are bags.

II. Some bottles are not shoes.

III. Some pens are shoes.

IV. all bags are pens is a possibility.

Select the correct answer using the code given below:

Conclusion I is definitely false from the figure.

The whole set of shoes can be within bags such that bottles is a subset of shoes. In such a case, there is no bottle that is not a shoe. Hence, conclusion II does not follow.

If pen is a subset of bags and bags and shoes intersect without intersecting with pens, then no pen is a shoe. Hence, conclusion III does not follow.

From the figure, there is a case where all bags are pens. Hence, conclusion IV follows.

Hence, Option C.