Answer: Option D; 150 Nucleotides
Amino acids have their codons in form of set of three nucleotides. So if there are 51 amino acids, it means the number of nucleotides would be -
1 amino acid = 3 bases/ nucleotides
51 amino acids = 51 * 3 = 153 nucleotides
Since the nearest answer is 150, option D is the correct answer.
This is the basic concept of relation between DNA and protein synthesis.