My question is if one is claims to know the 10 Qiraat, does that mean he/she knows all ways of reading...?

Question
Assalaamu Alaykum

My question is if one is claims to know the 10 Qiraat, does that mean he/she knows all ways of reading, for example, Hafs an Aasim and Shubah an Aasim, Qaloon Nafi and Warsh Nafi, etc., or only one way from each category, for example, Hafs an Aasim, Warsh an Nafi, etc.

Jazaakallahu Khayran

Answer
Wa alaikum assalaam wa rahmatullahi wa barakaatuh,
If one claims to know the 10 Qir'aat, they know all of the qira'aat which is inclusive with the two rawee for each qaar'i.  They therefore know both Hafs and Shu'bah 'an 'Aasim, because 'Aasim is one of the ten qira'aat, and if you claim to know each of the ten qira'aat,, you must know each qaari' in its entirety.  The same holds for Nafi', they would learned both Qaloon and Warsh 'an Naafi'.  This of course refers to the 10 qira'aat by the way of Ash-Shaatibiyyah and Ad-Durrah, often called al-'ashr as-Sughraa (lessor ten). 

There is also Al-'ashr al--Kubraa (greater or grand ten), also referred to as the ten qira'aat min tareeq Tayyibah An-Nashr, which still has the ten qira'aat and the two raawee for each qira'ah, but there are added turuq besides the tareeq of Ash-Shaaitibiyyah and Ad-Durrah. 
Wa iyyaaakum