Though There May Be a Grain of Truth to a Stereotype

Though there may be a grain of truth to a stereotype, what is always false about them?

A) There are no traits that are more common among one group than another.
B) Only large groups will have members who all share a trait.
C) Stereotypes come in contradictory pairs: for each stereotype of a group (they are all religious fanatics) there is a contradictory stereotype (they are all superficially religious) .
D) It is almost always false to assume that most of any large group possess any trait one can conjure up, except traits that define them.