Only 20 overs were bowled during the day after incessant rain washed out the first two sessions and allowed play for barely two hours.
That, however, gave enough time for Tendulkar to extend his world record Test tally to 36 centuries and for Ganguly to compile his 13th hundred, his first since the tour of Zimbabwe in September 2005.
When stumps were drawn due to bad light, Mahendra Dhoni was unbeaten 36 and Anil Kumble was on one.
Already 83 overs have been lost over two days due to bad light, leaving both sides a tough task to force a result on a wicket that is offering no assistance to the bowlers.
Tendulkar and Ganguly, who came together on Friday afternoon with India on 132-3, put on 189 for the fourth wicket.
The stand was broken two deliveries after Ganguly reached 100 as the left-hander mistimed a hook off Mashrafe Mortaza and Mohammad Rafique ran in from mid-off to take a low catch.
Ganguly hit 13 boundaries and two sixes, both off Rafique.
Tendulkar also fell soon after reaching his century, a wild swat off seamer Shahadat Hossain landing in the hands of Mohammad Ashraful in the covers.
India resumed on their overnight score of 295-3, with Tendulkar on 80 and Ganguly on 82, after the umpires finally called play at 4:30 pm (1030 GMT).
Meanwhile, a delegation of the Board of Control for Cricket in India (BCCI) arrived here on Saturday for a two-day visit at the invitation of Bangladesh cricket officials.
The Indian media has speculated that the delegation, led by BCCI president Sharad Pawar, may take the opportunity to speak to outgoing Bangladeshi coach Dav Whatmore about his future plans.
Whatmore is one of the candidates to take over as Indian coach from fellow Australian Greg Chappell, who resigned after the team's first round exit at the World Cup.
Whatmore ends his four-year tenure with Bangladesh after the Indian tour finishes on May 29.
The BCCI may also invite Bangladesh for a tri-series tournament in November-December also featuring Pakistan, who are due to tour India for a Test series at that time.