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The common factor among AIDS, mumps, and poliomyelitis is that they are all caused by viruses. AIDS is caused by the Human Immunodeficiency Virus (HIV), mumps is caused by the mumps virus, and poliomyelitis is caused by the poliovirus.
Option 1, "Young children get affected most readily," is not a common factor among these diseases. While poliomyelitis primarily affects children, AIDS and mumps can also affect individuals of any age.
Option 2, "No effective vaccine has yet been developed for them," is not true. There is no cure for AIDS, but antiretroviral therapy can manage the condition. Vaccines have been developed for both mumps and poliomyelitis.
Option 4, "Their germs can be transmitted through blood transfusions," is relevant for AIDS, as HIV can be transmitted through contaminated blood. However, it is not a common factor among all three diseases.
Therefore, the correct answer is option 3.