Aapki roochi kya hai?
It depends on the noun's gender..Roochi is feminine so you need to use aapKI before it..
Let me give you another example: Aapka naam kya hai ? Here, since Naam is masculine, you have to use aapKA (Remember, no matter who you ask this question to, a girl or a boy, always ask aapKA naam kya hai?)
AapKE is different than aapki and aapka..Eg: Aapke kamre mein koi rehta hai..meaning..someone lives in your room..Aapke kamre mein=In your room..
Hope I didn't confuse you!