Dravid paced his innings to a nicety after coming to the crease at the fall of the second wicket in the 9th over and was out in the 44h over for a superbly compiled 115, off only 96 balls. It contained 15 well-struck fours and a sweetly timed six over long on off Ramesh Powar.
The India 'A' skipper and Mohd Kaif, who too batted very well and ran singles and twos smartly in making 63 in 75 balls, put on 124 runs in 21 overs for the fourth wicket to give impetus to the innings which got bogged down at 73 for 3 in the 15th over.
Earlier, India A, after being put in to bat by India 'B' captain Virender Sehwag, lost their first two wickets - Dhiraj Jadhav (2) and Dinesh Mongia (8) - cheaply to slide to 35 fo 2 in the 9th over.
Jadhav was run out backing too far at the non-striker's end and Mongia edged an angling away delivery from left arm paceman Ashish Nehra to Gautam Gambhir in the slips.
The departure of Satyajit Parab at 73, who fell to Sehwag, brought together Dravid and Kaif who had helped India A chase the stiff 281-run target set by India seniors on the opening day of the tournament with an unbroken stand of 77.