Raising the issue during Zero Hour in Lok Sabha, BJP MP Shobha Karandlaje claimed that 50 cases of rape incidents were reported in the state in the past 15 days.
Accusing the state government of not taking action against the culprits, she said law-and-order situation in Karnataka has worsened.
She referred to the incident of rape of a six-year-old student at a school in Bangalore.
"There is no government in Karnataka. There is no law and order in the state," she said amid opposition from Congress members from the state.
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Mohan, who represents Bangalore central Lok Sabha constituency, said "strict action should be taken against the management of the school" which failed to ensure security to the girl child.
He urged the Centre to "intervene" and seek a report from the state government on the issue.
BJP MP from Uttar Pradesh Kaushal Kishore also raised the issue of incidents of the rape happening in the Samajwadi Party-ruled state.
He demanded imposition of President's rule in the state in view of deteriorating law-and-order situation.