Identify the types of cell junctions that help to stop the leakage of the substances across a tissue and facilitation of communication with neighbouring cells via rapid transfer of ions and molecules.

To identify the correct types of cell junctions described in the question, let us analyze the specific function of each junction step-by-step:

1. Stopping the leakage of substances:
Tight junctions help to stop substances from leaking across a tissue. They form a watertight seal between neighboring cells, preventing the movement of materials through the extracellular space between them.

2. Facilitating communication via rapid transfer:
Gap junctions facilitate communication between neighboring cells. They contain membrane channels (connexons) that connect the cytoplasm of adjacent cells, allowing the rapid transfer of ions, small molecules, and sometimes larger molecules.

3. Adhering junctions:
Adhering junctions perform cementing to keep neighboring cells together, but they do not facilitate rapid transport of ions or seal tissues against leakage in the way tight junctions do.

Therefore, the junctions that stop leakage and facilitate communication are tight junctions and gap junctions, respectively.