We start off with normal double-stranded DNA. Now what we need is a knowledge of the DNA replication process - PCR.
After denaturing the DNA, we have two single strands. Then nucleotides bind to the single-stranded DNA, to make double stranded DNA again. However, the nucleotides available are all radioactive, so what we'll make is two double-stranded molecules of DNA, but each one will have one strand with normal nucleotides and one strand with radioactive nucleotides.
We repeat this process again, denaturing the DNA to form single-strands of DNA. However, this time we don't just form two strands of normal DNA, we form two strands of normal DNA and two strands formed from radioactive nucleotides. We allow radioactive nucleotides to bind to these again and we have our answer - two strands formed entirely from radioactive nucleotides, and two formed from one strand of normal DNA and one strand of radioactive nucleotides, giving us the answer C.