Correct Answer: Both conclusions I and II follow

Solution : The possible Venn diagram, according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I):
Some vegetables are house is a possibility – It is a possibility that some parts of the circle representing vegetables overlap the circle that represents houses. But this is not definite. So, it can be concluded that s ome vegetables are houses is a possibility.
Conclusion (II): Some flowers are tree is a possibility – It is a possibility that some parts of the circle representing flowers overlap the circle that represents trees. But this is not definite. So, it can be concluded that s ome flowers are trees is a possibility.
Conclusion (III): No vegetable is a house – From the Venn diagram, it is evident that no flowers are vegetables. But there is a possibility that the part of the circle representing houses that lie outside the circle representing flowers can be vegetables. So, this conclusion does not follow.

So, b oth conclusions I and II follow . Hence the third option is correct.