Pakistan, replying to India's mammoth 675 for five declared, went to lunch on the third day at 137 for two, still needing 339 to avoid the follow-on.
Indian seamers dismissed the two left-handed openers, Taufiq Umer and Imran Farhat, to reduce Pakistan to 73 for two in the first hour on Tuesday.
But Inzamam, playing on his home ground, and Yasir Hameed denied the tourists another wicket before lunch by adding 64 for the unbroken third-wicket.
Inzamam, who hit two centuries in the preceding One-day series which India won 3-2, continued his good form by smashing five boundaries in an unbeaten 31 off 54 balls.
Hameed, century-maker in each innings on his debut against Bangladesh last August, was on 36 at the break.
Pakistan added 16 runs to their overnight score of 42 for no loss when Irfan Pathan struck the first blow for India. The left-arm seamer moved one away from Taufiq, who hung his bat out and edged a catch to stand-in captain Rahul Dravid at first slip.
Farhat was lucky to see a fended shot off a short ball from Zaheer Khan fall in the vacant gully region.
Farhat made 38 when Laxmipathy Balaji, replacing Zaheer, trapped him leg-before with his second delivery.