  Motives and automorphic forms of arithmetic type give rise to Galois
representations that occur in {\it compatible families}. These compatible
families are of p-adic representations with p varying. By reducing such a
family mod p one obtains compatible families of mod p representations. While
the representations that occur in such a p-adic or mod p family are strongly
correlated, in a sense each member of the family reveals a new face of the
motive. In recent celebrated work of Wiles playing off a pair of Galois
representations in different characteristics has been crucial.
  In this paper we investigate when a pair of mod p and mod q representations
of the absolute Galois group of a number field K simultaneously arises from an
{\it automorphic motive}: we do this in the 1-dimensional (Section 2) and
2-dimensional (Section 3: this time assuming $K={\mathbb Q}$) cases. In Section
3 we formulate a mod pq version of Serre's conjecture refining in part a
question of Barry Mazur and Ken Ribet.
