The correct answer is 1944.
The World Bank was established in 1944 at the Bretton Woods Conference held in the United States, alongside the International Monetary Fund. The idea was to help rebuild economies after the Second World War and support long term development.
Although it was set up in 1944, the World Bank actually began its operations a couple of years later, in 1946. It is headquartered in Washington D.C. and provides loans and grants to developing countries.