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  4. A protein with 100 amino acid residues has been translate d based on triplet genetic code, had the genetic code been quadruplet the gene that codes for the protein would have been

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Q. A protein with $100$ amino acid residues has been translate d based on triplet genetic code, had the genetic code been quadruplet the gene that codes for the protein would have been

KVPYKVPY 2011

Solution:

Since, the genetic code is a triplet, $64$ triplets of - nucleotides will be involved $(4^3 = 64)$. If the genetic code is quadruplet it consists of $256$ triplets of nucleotides $(4^4 = 256)$. $64$ triplets coded for $100$ amino acid residues. So, when $256$ triplets are involved in coding the genes that code for the proteins would have been longer in size by $25\%$.
Calculation $(100 \times 256) / 64 = 400$ amino acids.
Hence, the percentage change will be
$(100/400) \times 100= 25\%$.
Thus, the correct answer is option (b).