Step 1: Recall the bases of DNA.
DNA is built from four nitrogen bases: Adenine, Guanine, Cytosine and Thymine.
Step 2: Recall the bases of RNA.
RNA also uses four bases: Adenine, Guanine, Cytosine and Uracil.
Step 3: Spot the difference.
The only difference is that DNA has Thymine while RNA replaces it with Uracil. So Thymine is unique to DNA and Uracil is unique to RNA.
Step 4: Find the common bases.
The bases present in both DNA and RNA are Adenine, Guanine and Cytosine.
Step 5: Match with the listed structures.
Among the structures shown, the option that picks the base common to both nucleic acids matches choice III.
Step 6: State the answer.
So the correct choice is III only.
\[ \boxed{\text{III only}} \]