Which lobe of the cerebral cortex is most responsible for advanced critical thinking, such a judgment and planning tasks?

Frontal lobe

Explanation:

Cerebral cortex is the outer layer of Cerebrum and Cerebellum.It is made up of grey matter.Cerebrum is the largest part of the brain and is divided in two hemispheres:Right hemisphere and Left hemisphere.Each of the two hemispheres is  further divided into four lobes :Frontal lobes,Parietal lobes,Temporal lobes,Occipital lobesCerebrum controls voluntary actions,memory,thought and speech.Frontal lobe is located in the front of the brain.This lobe is responsible for critical thinking such as judgement and planning tasks.