Life history of cockroach represents :

Options

A. Ametabola
B. Hemimetabola
C. Paurometabola
D. Holometabola

Answer

To determine the life history of a cockroach, we need to analyze the options provided and understand the characteristics of each type of metamorphosis.

### Step-by-Step Solution:

1. **Understand the Types of Metamorphosis**:
- **Hemimetabola**: This type of metamorphosis is characterized by the absence of a pupal stage. The young (nymphs) resemble the adults but are smaller and lack fully developed wings.
- **Ametabola**: In this type, there is no metamorphosis. The immature stages look very similar to the adults and grow gradually without any significant changes in form.
- **Porometabola**: This type involves gradual metamorphosis, where the young undergo several stages (nymphs) before becoming adults. The nymphs grow and develop into adults, but there is no pupal stage.
- **Holometabola**: This type is characterized by complete metamorphosis, which includes distinct larval, pupal, and adult stages.

2. **Identify the Life Cycle of Cockroach**:
- Cockroaches undergo a type of metamorphosis where they start as eggs, hatch into nymphs, and then develop into adults. The nymphs look similar to adults but are smaller and lack wings initially. There is no pupal stage involved in their development.

3. **Match the Characteristics**:
- Since cockroaches do not have a pupal stage and the young (nymphs) resemble the adults, they fit the description of **Porometabola**.

4. **Conclusion**:
- Based on the characteristics of the life cycle of a cockroach, the correct answer is **C. Porometabola**.

### Final Answer:
The life history of a cockroach represents **C. Porometabola**.