a. The structure of D-xylose can be given as follows:

D-xylose contains five carbon atoms. The C-3 epimer of D-xylose can be obtained by changing the configuration of the third carbon atom.
The compound obtained is D-ribose.
Therefore, the C-3 epimer of D-xylose is D-ribose.
b. The structure of D-allose can be given as:
The structure thus obtained is:

The compound obtained is L-talose.
Therefore, the C-5 epimer of D-allose is L-talose.
c. The structure of L-gulose can be given as follows:

L-gulose contains six carbon atoms. The C-4 epimer of L-gulose can be obtained by changing the configuration of the fourth carbon atom.
The structure thus obtained is:

The compound obtained is L-allose.
Therefore, the C-4 epimer of L-gulose is L-allose.
d. The structure of D-lyxose can be given as:

D-lyxose contains five carbon atoms. The C-4 epimer of D-lyxose can be obtained by changing the configuration of the fourth carbon atom.
The structure thus obtained is:

The compound obtained is L-ribose.
Therefore, the C-4 epimer of D-lyxose is L-ribose.