A modern example of adaptation and evolution is the mosquitoes that reside down in India and surrounding areas. They are immune to a substance known as DDT; which was used to kill them.
This is a visual representation of what happened when they started killing mosquitoes with DDT.
The reason that they adapted is because the chemical known as DDT or (dichloro-diphenyl-trichloroethane) was used to kill the mosquitoes in the area, but some had a tolerance to it. These mosquitoes adapted and now the mosquitoes are resistant and immune to the chemical.
The reason that this is a modern example of evolution is because the mosquitoes adapted with the weak dying and, through natural selection, the strongest and immune mosquitoes surviving.
"DDT - A Brief History and Status." EPA. Environmental Protection Agency, 22 Nov. 2016. Web. 04 May 2017.
Miller, Elizabeth. "DDT-resistant Mosquitoes Spread Malaria." Mosquito reviews. MosquitoReviews.co, 2012. Web. 04 May 2017.