In the period following the second world war, cities in which of the following regions were profoundly shaped by government central planning ministries?
a) latin american city
b) east european city
c) north american city
d) west european city

Government central-planning ministries are a prominent feature of postwar Soviet communism. 

So the best answer is B. Easter European cities like Minsk, Kiev, Bucharest, and Warsaw all found themselves within the Soviet Union, or within the Soviet sphere of influence, after the war. Since many of these cities had also suffered widespread destruction during the war, they required rebuilding, which was often undertaken according to the socialist ideals promoted by Soviet communism.

A is wrong because, although many Latin American countries experienced aggressive communist insurgencies or takeovers, the communist presence in Latin America rarely resulted in the centralized re-planning of cities.

C is wrong because North America had no meaningful communist presence, and certainly no communist-guided central planning of cities. Same goes for Western Europe, which rules out D.