Does the Existence of Evil Argue Against the Existence of God?

A few years ago world renowned Christian apologist Ravi Zacharias was asked that very question by a student at the University of Nottingham.  Zacharias responded that the idea of evil implies the idea of good.  The idea of good implies a moral law to differentiate good from evil.  A moral law implies the existence of a lawgiver.  Ravi further explained, “So, if there is no moral lawgiver, there is no moral law; if there is no moral law, there is no absolute good; if there is no good, there is no evil.  You see in using the idea of evil to argue against the existence of God, you are actually assuming that God exists.”
 

Ravi pressed in, ‘So how do you distinguish good and bad, by what faculty?’  The student replied, ‘By my feelings.’  Ravi responded, ‘In some cultures, people love their neighbor, and in others, they eat them, both based on feelings.  Do you have any personal preferences on the matter?’ The stunned, perplexed student could only respond by asking, ‘What then am I asking you?’