Did you see a dictionary......?
que - Diccionario Ingles-Espa?ol WordReference.com
cual - Diccionario Ingles-Espa?ol WordReference.com
Here's an example. I've gone into a restaurant and asked "Que es el especial de hoy?", whereupon they responded with "Cual es el especial de hoy?"
In that example yeah, Que should be replaced with Cual.
You're right, but in some mysterious ways in the DR people says Cual instead of Que to ask stuff like "What's today's menu" "Cual es el menu de hoy".