Ni2+, Ag+, Sr2+, and Mn2+, & with the Addition of HCl --> AgCl ppts
Ni2+, Sr2+, and Mn2+, & with the Addition of H2SO4 --> SrSO4 ppts
Ni2+, and Mn2+, & with the Addition of NaOH --> both Mn(OH)2 & Ni(OH)2 would have ppt'd
but since no ppt,...
there was no Ni+2 or Mn+2
your answers are
Ag+ & Sr+2 were present
&
Ni+2 & Mn+2 were not present