**Core Concept**
The **liver** is divided into lobes, with the **quadrate lobe** being one of the smaller lobes. Understanding the anatomy of the liver is crucial for diagnosis and treatment of liver diseases, including **hepatocellular carcinoma**. The quadrate lobe is located on the inferior surface of the liver.

**Why the Correct Answer is Right**
The correct answer is not provided, however, the quadrate lobe is situated on the inferior surface of the liver, bordered by the **gallbladder** fossa, the **portal vein**, and the **hepatic artery**. It is part of the **left medial segment** of the liver. Knowledge of this anatomy is essential for surgical planning and radiation therapy in patients with **hepatocellular carcinoma**.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because the quadrate lobe is not the largest lobe of the liver.
**Option B:** This option is incorrect because the quadrate lobe is not located on the superior surface of the liver.
**Option C:** This option is incorrect because the quadrate lobe is part of the left medial segment, not the right lobe.

**Clinical Pearl / High-Yield Fact**
The **quadrate lobe** is a small lobe of the liver, and its location is important for surgical and radiological procedures. The liver is divided into segments based on the **hepatic veins** and **portal veins**, which is crucial for understanding the spread of **hepatocellular carcinoma**.

**Correct Answer:** D. is located on the inferior surface of the liver.