Not only are they good at learning, but at reasoning and problem solving.

They can be trained to identify counterfeit cigarettes from real ones, and more importantly, rats in Africa have been trained to detect tuberculosis of multiple people at once in minutes, allowing life-saving treatment to begin at earlier stages. To test for it medically can take several hours. They are also trained to detect landmines - also in Africa. A real problem there from a continent always at war, it seems. Rats are literally saving lives.
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