And he was not the only one. Television cameras caught another key participant of the meet, the Director General of Central Industrial Security Forces, Arvind Ranjan, dozing off too.
This was the second day in a row when Mr Sinha was found snoozing. The last occasion was at the same conference yesterday, during the speech of Union home minister Rajnath Singh, who, ironically, made the point that even if one is "retired", one "should not be tired".
"There are many senior officers here. Some of them are close to retirement. But I don't subscribe to the notion that just because you are retired, you should be tired. Your experience and your capability can still play a role in ensuring the nation's security," Mr Singh said.
"The film industry has created a very bad image of the police in the minds of the common man and I ask them why? Yes, there may be some shortcomings, but should that only be highlighted? Is it not our duty to remove these shortcomings by bringing into light the positive and good things?" he said.
But the CBI chief, who is set to retire in another two days, seemed to have missed the point.
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