Explanation:

Here's an explanation for each statement regarding the Peacock tarantula (Gooty tarantula):

- Statement I: It is an omnivorous crustacean.

- Incorrect. The Peacock tarantula is an arachnid, not a crustacean, and it is primarily carnivorous, feeding on insects.

- Statement II: Its natural habitat in India is only limited to some forest areas.

- Correct. The natural habitat of the Peacock tarantula is limited to forest areas in Andhra Pradesh, India.

- Statement III: In its natural habitat, it is an arboreal species.

- Correct. The Peacock tarantula is arboreal, meaning it lives in trees within its habitat.

- Option 1: I only

- Incorrect, as Statement I is false.

- Option 2: I and III

- Incorrect, as Statement I is false.

- Option 3: II only

- Incorrect, because Statement III is also correct.

- Option 4: II and III

- Correct Answer: Both these statements are true.