Three statements are given followed by two conclusions numbered I and II. You have to take the statements to be true, even if they seem to be at variance with commonly known facts, and decide which of the conclusions logically follow(s) from the statements.
Statements:
I. All Tables are Dinners.
II. Some Dinners are Plates.
All Plates are Bowls.
Conclusions:
(I) Some Tables are Plates.
(II) All Dinners are Bowls.

Statements:
I. All Tables are Dinners.
II. Some Dinners are Plates.​

Let's analyze the conclusions:
​Conclusion I: Some Tables are Plates (False)

 From the Venn diagram, it is evident that there is no direct relation between tables and plates. So, no definite relation can be drawn. Thus, this conclusion does not follow.
​Conclusion II: All Dinners are Bowls (False)​

 From the Venn diagram, it is evident the circles representing dinner and bowl overlap and intersect each other. So, from this, it can be concluded that some dinners are bowls. Thus, this conclusion does not follow.

So, ​neither conclusion (I) nor (II) follows.

Thus, the correct answer is (b).