Step 1: Understanding disease classification.
Infectious diseases are caused by pathogens such as bacteria, viruses, protozoa, or fungi. Non-infectious diseases are not caused by pathogens but result from genetic, environmental, or lifestyle factors.
Step 2: Analysis of options.
(1) AIDS: Infectious, caused by HIV virus.
(2) Malaria: Infectious, caused by Plasmodium protozoa.
(3) Cancer: Non-infectious, caused by uncontrolled cell growth.
(4) Typhoid: Infectious, caused by Salmonella typhi bacteria.
Step 3: Conclusion.
Hence, the correct answer is (3) Cancer.