1991 AMC 8 Question 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?

**(A)** $3 \times 4$

**(B)** $3 \times 5$

**(C)** $4 \times 4$

**(D)** $4 \times 5$

**(E)** $6 \times 3$