Answer: Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.

Step-by-step explanation:

Given :  The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.

The dimensions of the generic television set = 12 inches by 24 inches

Let the dimensions of brand name be x by y such that

three eighth of x=12 inches

Rightarrowfrac{3}{8}x=12\\Rightarrow x=frac{12times8}{3}=32 inches

and three eighth of y=24 inches

Rightarrowfrac{3}{8}y=24\\Rightarrow y=frac{24times8}{3}=64 inches

Therefore, the dimensions of the brand name television = 32 inches by 64 inches.

Hence option (C) is correct.