Concept:
Ketone bodies (acetoacetate, β-hydroxybutyrate and acetone) are fuel molecules made from fat when the body is low on glucose, such as during fasting or in diabetes. The important point is where they are MADE versus where they are USED.
Step 1:
Ketone bodies are synthesised (the process is called ketogenesis) only in the liver, because the liver has the key enzyme HMG-CoA synthase needed for this pathway.
Step 2:
The liver then exports the ketone bodies into the blood so that other organs — especially the brain, heart and muscle — can take them up and burn them for energy.
Step 3:
So brain and muscle are users, not makers, and adipose tissue only supplies the fatty acids. The site of synthesis is the liver.
Answer: Option (1) — Liver.