At stumps on day three, Services were 67/5 needing 38 runs to beat Jammu & Kashmir.
Interestingly, another J&K player, Ravinder Pandit, also achieved it against Services in 1986-87.
Rasool followed a career-best 8/85 by scoring 53* but J&K were six down and trailing Services by 42 runs.
Shubham Khajuria was the top-scorer for J&K with 44 before he was the first of Arun Bamal's five wickets at Palam.
Waseem Raza snared six wickets to set up J&K for a small chase of 41 on day four in Srinagar.
For J&K, Waseem Raza was the most successful bowler with 3/59.
J&K made 442, a lead of 318, and by stumps Tripura were 11/0 to trail by 307 runs.
Rasool mopped up Tripura's lower order with five wickets in 10 overs while Irfan finished with 10-2-17-2.
A round-up of the Elite Group C matches on day one of the 2018-19 Ranji Trophy.
Irfan Pathan, Jammu & Kashmir's player-cum-mentor, on the health of the state's cricket and what needs to be done.