When AgNO₃ solution is added in excess to 1lit. of CoCl₃ x NH₃ solution, two moles of AgCl is formed. What is the value of ‘x’?

CoCl₃​.xNH₃​+2AgNO₃​→2AgCl (2mole)
This precipitation of 2 mol of AgCl by this reaction shows that there is only two Cl outside the coordination sphere, which is not as a ligand ( as ligands are not ionizable).
Hence, the compound must be as follows: ( showing the coordination sphere) [Co(NH₃​)₅​Cl​]Cl₂, as this is the octahedral complex, where it is clear that there are only one Cl as ligand and other ligands are NH_3​. 

So, 6−1=5 NH_3​ ligands.