Step 1: Understanding the Concept:
Cholesterol is a vital structural component of cell membranes and acts as a precursor for essential hormones, including molting hormones (ecdysteroids) in arthropods.
Step 2: Detailed Explanation:
Unlike vertebrates (such as carps and catfishes), crustaceans (including shrimps) lack the physiological biochemical pathways necessary for the de novo biosynthesis of cholesterol from simpler precursors like acetate.
Because of this metabolic limitation, cholesterol is a strictly essential nutrient for shrimps and must be provided in their formulated diets (typically at levels of \(0.5\text{--}1.0\%\)) to support normal growth, survival, and successful molting.
Step 3: Final Answer:
Shrimps require cholesterol in their diet, which corresponds to option (C).