Hello Aspirant,
As of now Staff Selection Commission on April 19th did announce the postponement of SSC CHSL 2021 tier 1 exam till any further order due to surge in the COVID-19 cases so right now no exact dates are known for either Tier-2 or Tier-1. It is known that SSC CHSL Tier-1 Examination was supposed to be conducted on April 20th, but now the new dates will be published by SSC and shall be announced at least before a week. And you can keep yourself update from the further information either from the official website as given below :-
https://ssc.nic.in/
Or you can check out the article mentioned below :-
https://competition.careers360.com/exams/ssc-chsl
I hope this information helps you.
Good Luck!!
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