Question 78
Veronica observes that $81 \cdot 3=243$ and $81 \cdot 4=324$ and wonders how many numbers $m$ there are with $10 \leq m \leq 99$ such that $3 m=A B C$ and $4 m=C A B$, where $A, B$ and $C$ are decimal digits (cases in which one or more of the digits $A, B, C$ equal zero are also considered valid).
(A) 1
(B) 2
(C) 3
(D) 4
(E) 6
(A) 1
(B) 2
(C) 3
(D) 4
(E) 6