Resuming at an overnight score of 287-3, Services added another 190 runs, courtesy G Rahul Singh (182), who shared a 95-run stand with VS Hathwala (44).
In reply, Jammu and Kashmir reached 96-1 in 34 overs. At the draw of stumps, opener SP Khajuria (34) and ID Singh (30) were at the crease at the Sawai Mansingh Stadium.
Jammu & Kashmir still need 381 runs with nine wickets remaining to take a first innings lead.
Aamir Aziz then removed Hathwala (44) and Nakul Sharma (19) as Services slipped to 421-6.
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Parvez then dismissed Rahul in the 123rd over, before moping up the tail as Services were allout in 144.5 overs.
Pranav Gupta and Khajuria gave a good start to J&K, adding 51 runs in 13 overs before the former was dismissed by Raj Bahadur.
Brief Score:
Services 1st innings: 477 allout in 144.5 overs (G Rahul Singh 182; Parvez Rasool 5/117)
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