Recall that two hydrogen bonds bind a and t, but three hydrogen bonds bind g and c. because the stability of dna is affected by the number of hydrogen bonds, with more bonds promoting more stability, which double-stranded dna molecule would likely have the greatest stability

A molecule with 32 percent or more amount of Cytosine.

Explanation:

DNA is the genetic material of all the living organism but in few viruses, RNA can also acts as the genetic material. DNA contain nitrogenous bases ( adenine, guanine, thymine and cytosine), deoxyribose pentose sugar and the phosphate bond.

The triple bond is more stable than the double bond. Since, cytosine and guanine shows triple hydrogen bonding and shows more stability. The DNA molecule that contains more residues of guanine and cytosine is stable than the molecule containing adenine and thymine residues.

Thus, the answer is molecule with 32 percent or more amount of Cytosine.