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1.firstly the reports are updated few times late but also it might be a technical error which are being updated late in nse site have to check late night
2.second your question is about “F&O Market Activity Report”
you can easily find historical data https://www1.nseindia.com/products/content/derivatives/equities/archieve_fo.htm
in select report option drag down and select market activity report
3.third your question is about Equity section “Full Bhavcopy and Security Deliverable positions”
check below link of equity section archive https://www1.nseindia.com/products/content/equities/equities/archieve_eq.htm
select the report you want ..Hope i have clearly explained