To solve the question regarding the correct statement about the Solanaceae family, we will analyze each option step by step.
### Step-by-Step Solution:
1. **Understanding the Gynosium**:
- The Gynosium of the Solanaceae family is characterized by having two carpels. This condition is referred to as **Bicarpellary**.
- These two carpels are fused together, which is termed as **Syncarpus**.
**Hint**: Remember that "bicarpellary" indicates two carpels, and "syncarpus" means they are fused.
2. **Identifying the Ovary Type**:
- The ovary in the Solanaceae family is classified as **superior**. This means that the ovary is positioned above the other floral parts such as sepals, petals, and stamens.
**Hint**: "Superior ovary" means the ovary is located above the other floral structures.
3. **Locule and Placentation**:
- The Solanaceae family typically has a **bilocular** condition, which means there are two locules (chambers) in the ovary. However, due to the presence of a septum, this bilocular condition can be interpreted as **multilocular** because it can contain multiple ovules.
**Hint**: "Bilocular" refers to two chambers, but with a septum, it can also imply multiple ovules.
4. **Evaluating the Options**:
- **Option 1**: Bicarpellary, Syncarpus, Inferior ovary, and Bilocular condition – **Incorrect** (Inferior ovary is wrong).
- **Option 2**: Bicarpellary, Apocarpus, Superior ovary with bilocular condition – **Incorrect** (Apocarpus is wrong).
- **Option 3**: Multicarpellary, Syncarpus, Inferior ovary with bilocular condition – **Incorrect** (Inferior ovary is wrong).
- **Option 4**: Multicarpellary, Syncarpus, Superior ovary with bilocular condition – **Correct** (All parts are accurate).
**Hint**: Carefully check each term in the options against the characteristics of the Solanaceae family.
### Final Answer:
The correct statement about the Solanaceae family is **Option 4: Multicarpellary, Syncarpus, Superior ovary with bilocular condition**.