A schematic of the solution is shown below. The information
from the question is given in **black**. Deductions directly from this
information are given in **red**. Points that provide potential key information
are shown in **green** which leads to the structures which are linked via
the **blue** arrows to show the path required to work them all out. There
are, of course, other possible thought pathways.

There are two keys to this problem, first the named diol and more importantly the ketal provided. The ketal readily reveals the ketone and the diol (**C **and **F** respectively) and from there **C **leads to** D** then **E**, **F** leads to **A** and **B**.