Question

If the head of cockroach is cut off, it will be
alive as long as one week. Give clarification for
this statement

Answer 1

A cockroach can live for a week without its head. Due to their open circulatory system, and the fact that they breathe through little holes in each of their body segments, they are not dependent on the mouth or head to breathe. The roach only dies because without a mouth, it can't drink water and dies of thirst.

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Answer 2

The head of the cockroach holds a bit of nervous system while the rest is situated along ventral part of it's body.

So cockroach can live as long as one week if head is cut off