Question 44
Pythagora the kangaroo likes only those natural numbers that are divisible by $4$, have digit sum equal to $3$, and have exactly $5$ digits equal to $0$. How many natural numbers does Pythagora the kangaroo like?
(A) $15$
(B) $16$
(C) $19$
(D) $20$
(E) $25$
(A) $15$
(B) $16$
(C) $19$
(D) $20$
(E) $25$