"Mujhe uss vishay par charcha karne mein ghinn aati hai. So uss vishay ko uchhalo mat (I feel disgusted even talking about it. So, don't rake up this issue). It's terrible to even talk about it," Mr Bachchan told reporters.
The actor was speaking at a promotional event for his upcoming film "102 Not Out", in which he stars alongside Rishi Kapoor.
In Kathua district of Jammu and Kashmir, an eight-year-old girl was held captive in a small village temple, drugged, tortured and gang-raped repeatedly before being killed. Details of the horror the child endured before dying, revealed in a chargesheet recently, have jolted the nation and driven thousands to the streets for protests.
In a third case, a child was found dead in Gujarat's Surat with over 80 wounds on her body, which indicated rape and torture.
Several celebrities have posted photos on social media carrying placards expressing shame and demanding justice.
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