The win has brightened Himachal Pradesh's chances of making it to the quarterfinals.
Ajeet struck in the 11th, 16th, 27th, 36th, 36th and 62nd minutes to enable Himachal lead 6-0 at the half time. Taran Deep and Gyanpreet scored two goals each while Balram, Hardeep, Prashant and Harmandeep scored one each.
For Rajasthan, Harjeet Singh struck the consolation goal in the 51st minute.
The day witnessed a shocking exit of spirited Delhi, which lost their second consecutive match in Pool D.
Despite having a solitary goal lead early in the game, they went down fighting against Jharkhand 1-2.
Pawan Singh Chauhan put Delhi ahead in the 15th minute through a field goal (1-0) but in the second half, Delhi boys looked of colour and conceded two goals.
Agile Arvind Kujur first converted a penalty corner in the 50th minute to bring parity (1-1), before rounding off the tally with a field goal in the 66th minute.
In another match, Suresh Babu became the star performer for Andhra Pradesh to help rout Goa 9-0 in Pool F.
Suresh scored four goals, including a hat-trick. Sai, Manikanta, Venkata Rami Reddy and Pradeev scored a goal each.
An own goal by Goa also marked the introduction of the new rule in keeping with FIH rules.
Last year's finalists, Orissa had a tough start to the championship as they struggled to beat Manipur 3-1 in Pool B.
Alsem put Orissa ahead in the seventh minute and Bikash extended the lead in the 20th minute to lead 2-0 at the break.
Manipur staged a comeback with a field goal through Amarjeet (66th minute) but Bikash struck for the second time, just two minutes from the hooter to ensure team's victory.
Bihar and Puducherry played a 2-2 draw in pool H.
Daisan (1st minute) and Veerathamizhan (50th) scored for Puducherry, while Ravi Kumar (8th minute) and Surendra Yadav (28th) netted for Bihar.
