**Core Concept**
The functional surface molecule on T-lymphocytes that facilitates antigen recognition major histocompatibility complex (MHC) molecules is a crucial component of the immune system. This molecule plays a vital role in the recognition of antigens presented by MHC molecules on the surface of antigen-presenting cells (APCs).

**Why the Correct Answer is Right**
The correct answer is a subset of T-cells that express a specific surface molecule that allows them to recognize antigens presented by MHC molecules. This molecule, known as the T-cell receptor (TCR) complex, is composed of the TCR itself, CD3, and CD4 or CD8 co-receptors. The TCR complex recognizes peptide fragments presented by MHC molecules on the surface of APCs. The CD4 co-receptor is specifically expressed on helper T-cells (Th cells) and is crucial for the recognition of MHC class II molecules, which present antigens to Th cells. This interaction is essential for the activation of Th cells and the subsequent activation of other immune cells.

**Why Each Wrong Option is Incorrect**
* **Option A:** Not applicable, as the question is incomplete.
* **Option B:** This option is incorrect because it does not specify the correct subset of T-cells that express the functional surface molecule for antigen recognition.
* **Option C:** This option is incorrect because it does not correctly identify the molecule responsible for antigen recognition and MHC molecule interaction.
* **Option D:** This option is incorrect because it does not specify the correct subset of T-cells that express the functional surface molecule for antigen recognition.

**Clinical Pearl / High-Yield Fact**
CD4 co-receptor expression on helper T-cells is a critical determinant of their functional phenotype and ability to recognize antigens presented by MHC class II molecules. This is a key concept in immunology and is essential for understanding the mechanisms of immune activation and regulation.

**Correct Answer:** C. CD4+ T-cells (Helper T-cells).