Final answer:
The statement that is FALSE is that different cell types of a multicellular organism contain the same DNA.
Step-by-step explanation:
The statement that is FALSE is: a) Different cell types of a multicellular organism contain the same DNA.
Although all cells in a multicellular organism contain the same DNA, they do not express the same sets of RNA and proteins. Each cell type in a multicellular organism expresses different sets of genes, leading to cells that look and function differently in the organism. Gene expression is regulated at various steps, but the control of transcription is not the most important step as stated in statement d), as there are regulation mechanisms in gene expression at multiple levels in eukaryotes.
Therefore, the correct answer to the question is a).