Dilemma
A dilemma is when you must must make a choice between two options, and both have nasty consequences.
For instance, in
Roald Dahl’s
James and the Giant Peach, James and the insects are inside a giant peach that is floating in the ocean. Their dilemma is:
Do they eat the peach, and face death by drowning?
OR
Do they not eat the peach (keep it as a floating vessel), and face death by starvation?
Conundrum
A conundrum is a puzzling or difficult problem; almost everybody knows the most famous conundrum of all:
Which came first? The chicken or the egg?
*Note: ”dilemma” is often misspelt as “dilemna”