The constable was here as a member of ITBP contingent to take part in the 61st All India Police Games that concluded here yesterday.
The victim in her complaint alleged that she was returning to her home after watching the closing ceremony of the police games yesterday evening when the incident took place, police said.
She alleged that the accused first asked her phone number and when she refused he forcibly took her to an isolated place and raped her.
The ITBP team was staying in a school near the victim's home.
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The accused was arrested around midnight and a local court sent the him to a three-day police remand today.
Assistant Superintendent of Police, Kangra, Mohit Chawla told that the medical examination of victim has been conducted and the report is awaited.
"We have also sent clothes of victim and the accused to Regional Forensic Science Laboratory (RFSL), Dharamsala," said Chawla refusing to divulge the name of accused.