"The atmosphere in the country today is very disturbing. When I open newspapers in the morning, I am scared of having to read the news of killings of 16-year-olds on roads... In their homes," she told reporters here.
Kumar's remarks come against the backdrop of violent incidents targeting minorities and subsequent wave of protests.
"Firm steps should be taken by the government and it should immediately stop the killings as it has got an unprecedented mandate in Parliament," she responded to a query on Prime Minister Narendra Modi's remarks he made in Ahmedabad yesterday that killing of people in the name of cow protection was not acceptable.
About her contest against NDA nominee Ram Nath Kovind for the top constitutional post, the Congress veteran said, "I have written to the MPs and MLAs of all parties to understand the seriousness of the situation and use the opportunity they have in creating history. This is the time when they need to listen to their conscience for the sake of the country and its future."
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When asked about her stand on reservation, Kumar said she was completely against it. She said the reservation system has been prevalent since the last 5,000 years.
Replying to a query, the former Lok Sabha Speaker asked whether there was a need to hold the elections if the BJP was sure that its candidate would win. "This is not just a fight, but a very strong articulation for our ideology," she said.
Asked if this has become a "Dalit vs Dalit" contest, she said in the past such elections where candidates belonged to upper castes, the talks veered around their experience and intellect.
Earlier, when she arrived at the city airport from Gujarat, she told reporters that she was fighting with great confidence. "I am fighting with great confidence," she said.
Kumar, the daughter of Congress stalwart Jagjivan Ram kick-started her election campaign in Gujarat earlier in the day.
She launched the campaign from Mahatma Gandhi's Sabarmati Ashram in Ahmedabad, where she said her fight is to take forward the ideology of the Father of the Nation.