A question in an exam was as follows:[1]
How many of the following salts are first soluble in $\ce{Na2S2O3}$ solution, followed by the formation of a white precipitate and finally the precipitate turns black on standing
$\ce{AgNO3}$, $\ce{Pb(CH3COO)2}$, $\ce{Hg(NO3)2}$, $\ce{BiCl3}$, $\ce{CuSO4}$
The answer given is:
$5$, which means that all of them give this test.
I understand that this is a test for cations since the reagent is sodium thiosulphate.
A pre-emptive guess on what the reactions would be that the first reaction forms the thiosulphate of the cation followed by the conversion of thiosulphates into sulphides (from the color change given).
However, I was unable to find any text referencing this test and so haven't been able to verify the actual reactions that take place.[1]
What cations does this test give a positive result for? What are the reactions that take place?
[1]: The previous version of the question asked for a test using sodium dithionite which was a typo (due to reasons provided in the answer below), confirmed after M.Farooq's suggestion to ask the professor who set the exam.