AMC 8 1991 Problem 5

A "domino" is made up of two small squares:

Which of the "checkerboards" illustrated below CANNOT be covered exactly and completely by a whole number of non-overlapping dominoes?

$\text{(A)}\ 3\times 4 \text{(B)}\ 3\times 5 \text{(C)}\ 4\times 4 \text{(D)}\ 4\times 5 \text{(E)}\ 6\times 3$