He also said that in many cases, independent directors are appointed and removed at whims and fancies of promoters of companies.
"Twenty per cent of public sector companies still don't have a single woman director," Tyagi said here.
Under the regulations, listed companies are required to have at least one woman director on their boards.
Tyagi said much needs to be improved when it comes to functioning and appointment of independent directors and audit committees at listed companies.
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"...May be at the end of last month, 90 per cent of them did not have full independent directors who are supposed to be there. That is a very huge number," Tyagi said.
He made these remarks at an interactive session with CEOs and senior executives of public sector enterprises organised by SCOPE.
The Standing Conference of Public Enterprises (SCOPE) is an apex professional organisation representing central government public enterprises.
Responding to a query, Tyagi said the role of nominee directors needs to be looked into.