Answer:
Cd²⁺, Sb³⁺, Hg²⁺, Pb²⁺, Ba²⁺, Sn⁴⁺, Mg²⁺, Hg₂²⁺, Ag⁺- definitely present
Li⁺, Fe2+, Cr3+, Zn2+- definitely absent.
Explanation:
Ag⁺,Pb²⁺,Hg₂²⁺ could form precipitate with HCl in step one. Hence these ions are likely to be present
Cd²⁺, Sb³⁺, Sn⁴⁺, Hg²⁺ could form precipitate with H2S in step two. These ions are likely to be present.
Fe²⁺,Cr³⁺,Zn²⁺ these ions could form precipitates under basic conditions and insoluble sulphides in excess H2S but the question stated that no precipitate was formed in this step hence these cations are absent.
Mg²⁺,Ba²⁺ form precipitates with carbonate ion, they are likely to be present.