​In following question statements are given and these statements are followed by conclusions. Read the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements :

I. All the bottles are boxes.

II. All the boxes are bags. Some bags are trays.

Conclusions:
I. Some bottles are trays.
II. Some trays are boxes.
III. All the bottles are bags.
IV. Some trays are bags.​​

I. All the bottles are boxes.

II. All the boxes are bags. Some bags are trays.

Conclusions:
I. Some bottles are trays.

There is no direct connection between bottles and trays. Bottles are inside bags, but we only know that "some bags are trays," which does not confirm that any bottle is a tray. (Does not follow)
II. Some trays are boxes.

There is no connection between trays and boxes. We know that some bags are trays, but since boxes are inside bags, we cannot directly conclude that some trays are boxes. (Does not follow)​
III. All the bottles are bags.

Since "All bottles are boxes" and "All boxes are bags," it logically follows that all bottles must also be bags. (Follow)
IV. Some trays are bags.​​

This is directly given in the statement "Some bags are trays." (Follow)​

Thus, the correct option is (a) Only III and IV follows.