Here is what they said:
President Pranab Mukherjee: "She was a brave and courageous girl who fought till the very last minute for her dignity and her life. She is a true hero and symbolises the best in Indian youth and women. The nation will mourn the passing of this brave daughter of India. At the same time, let us resolve that this death will not be in vain. We will do everything possible to ensure that such an incident never happens again."
Vice President Hamid Ansari: "A young, promising life has been brutally snatched away in most tragic circumstances. Not only has the family lost a daughter and a sister, but every Indian today is feeling the sense of loss. I hope this heart-rending tragedy would compel us as a people to focus on social norms and practices which are violative of human rights and an impediment to progress in the modern world."
Prime Minister Manmohan Singh: "I join the nation in conveying to her family and friends my deepest condolences at this terrible loss. I want to tell them and the nation that while she may have lost her battle for life, it is up to us all to ensure that her death will not have been in vain. We have already seen the emotions and energies this incident has generated. These are perfectly understandable reactions from a young India and an India that genuinely desires change. It would be a true homage to her memory if we are able to channelise these emotions and energies into a constructive course of action."
Home Minister Sushilkumar Shinde: "Her death will not go in vain. There will be maximum punishment for the accused. This incident is a lesson."
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Health Minister Ghulam Nabi Azad: "A brave and courageous girl who fought till the very last minute for her dignity and life. She is a true hero and symbolises the best in Indian youth and women."
Leader of Opposition in the Lok Sabha Sushma Swaraj: "Her death has shaken the conscience of the nation. We must wake up and make India safe for daughters."
Delhi Chief Minister Sheila Dikshit: "Our hearts are burning with grief and shame and this is not the moment for speeches or words, but for deep reflection among ourselves, within ourselves."
Gujarat Chief Minister Narendra Modi: "Deeply saddened and distressed by the news of India's braveheart daughter passing away. My deepest condolences to her family."
Goa BJP state president Vinay Tendulkar: "It is unfortunate and we condole the death of the rape victim. We support the demand for enhancing the maximum penalty for rape to death (from life imprisonmnet)."