The correct answer is option 2: Alzheimer’s disease.

Down`s syndrome is a genetic disorder that occurs when a person has three copies of chromosome 21 instead of the usual two copies. This extra copy of chromosome 21 can lead to various physical and cognitive disabilities. While people with Down`s syndrome have an increased risk for certain health conditions, not all individuals with Down`s syndrome will develop these conditions.

Alzheimer`s disease is a progressive brain disorder that affects memory, thinking, and behavior. It is more common in individuals with Down`s syndrome compared to the general population. Studies have shown that the buildup of a protein called amyloid beta in the brain contributes to the development of Alzheimer`s disease in people with Down`s syndrome.

The other options provided (Huntington`s disease, Meningitis, Brain hemorrhage) are not typically associated with Down`s syndrome. It`s important to note that individuals with Down`s syndrome can still be affected by a range of other health conditions, but Alzheimer`s disease is a particularly common concern for this population.