Yeah, that is the perception that seems to have been been promoted by the Western media the last decade or so.
Just like some Westerners might associate the province of Xinjiang with the genocide of Muslims they might hear New Delhi and think gang rape,due to the prominent reporting of one particularly nasty case by the BBC.
The UN Secretary General's spokesman also got involved:
The 's spokesman stated on 5 March, "I'm not going to comment on the unspeakable comments that were made by the person accused of raping this girl, but I think the secretary-general has spoken very clearly on the need to halt violence against women and on the need for men to get involved in halting violence against women and decrying it loud and clear every time it occurs."
Still, the rape statistics(number of rape incidents per 100,000 citizen) don't really bear this perception out. India is way down that particular league table
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Some of the "leading" nations in the field:
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Source:
Not entirely sure how much store you can put into those figures. Different countries are more or less assiduous about collecting data on rape incidents and- for that matter- there might be different criterion for determining what constitutes rape.
Also, anecdotally there does seem to be a bit of harassment of Western tourists in India and there probably is high underreporting of sexual violence against women there. But there certainly does seem to be a curious discrepancy between the perception and the statistics..