X is older than Y, Z is younger than W and V is as old as Y. Is Z younger than X?
I. W may not be older than V
II. W is not older than V

Taking only first statement into consideration:
Nothing absolute can be said about Z and X
Now taking only second statement into consideration:
$$W \leq V$$
As it is given that X is older than Y; Z is younger than W and V is as old as Y.
and through second statement we know that W is younger or as old as V.
So using above four information we can conclude that Z is not older than X.
Z is either younger or as old as X.
Hence answer will be B).