In a written reply to the Assembly, Chief Minister Omar Abdullah, who is in-charge minister for Home Affairs, said 5,125 rape cases and 14,953 molestation cases have been registered in the state over the last 24 years.
According to official data, 2,601 rape cases have been registered in Kashmir and 2,524 in Jammu province between 1989 and 2003.
In the same period, 12,215 cases of molestation were registered in Kashmir and 2,738 in Jammu.
The conviction rate was as many as 1,446 cases of rape (664) and molestation (782) were not admitted while 180 cases, including 65 rape cases, remained untraced.
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The security forces personnel are accused in 70 rape cases (41 in Kashmir and 29 in Jammu) and 55 cases of molestations (44 in Kashmir and 11 in Jammu).
The state police personnel are accused in 59 rape cases (15 in Kashmir and 44 in Jammu) and 34 molestation cases (12 in Kashmir and 22 in Jammu).
The surrendered are accused in three rape cases but have no molestation case registered against them.
The government said the High Court has designated various courts of Additional District Judges as Special courts for trying offenses relating to women to ensure speedy justice to victims.