Want a taste of being royal? Eat in Hyderabad, where culinary traditions have been passed down from the Nizam monarchy. Arabic, Turkish and Mughlai influences are easily recognisable. The city is famous for its rich, aromatic biryani made with lamb, chicken or vegetables and served with fragrant basmati rice. Satisfy your sweet tooth with double-ka-meetha, a bread pudding.

The misty hills, lush teakwood and sandalwood forests, and acres of tea and coffee plantations of Kodagu are, in a word, stunning. Also known as Coorg and dubbed "The Scotland of India," Kodagu is a postcard-perfect region of scattered villages and hamlets, which are the epitome of old-world charm. Kodagu is ideal for outdoor activities such as trekking, angling and white-water rafting, and major festivals like Keil Poldu (worship of weapons), Cauvery Shankaramana (return of the river goddess) and the Huttari (harvest) festival are a huge draw.

Known as both the "Garden City" and "The Silicon Valley of India," Bangalore (officially "Bengaluru") is a techie’s paradise, boasting the highest concentration of IT companies in the country. When you’re done geeking out, there are plenty of gardens, museums, natural features, palaces and temples to fill your dance card. Visit Vidhana Soudha, Cubbon Park and the Ulsoor Lake of Bangalore, well known for its beautiful locales and boating facilities. Bangalore is also a major centre of Indian classical music and dance, and of vivid, cutting-edge nightlife.

Though most simply pass through Coimbatore on their way west, tarriers are rewarded with a lively street-food scene, city museums, and parks. Add in easy access to the hilltop temples surrounding the industrial city, and you have a raw gem waiting to be discovered.

The people of Tamil Nadu consider providing food to others a service to humanity. Thus the service in the state capital, Chennai, is first-rate. Treat your senses to some of the richest South Indian flavours in traditional dishes like sambar, rasam, fish curry or kootu. And don't forget to have a cup of full-bodied Tamil coffee, enhanced with chicory—no visit is complete without it.

Laid out by British architect Edwin Lutyens, the Indian capital is a striking modern metropolis. A gracious contrast to Old Delhi's winding streets, the grand avenues and stately buildings of New Delhi are rich with history and culture, from Gandhi's Delhi home (and the site of his assassination) to the tomb of Humayun, a complex of Mughal buildings reminiscent of the Taj Mahal. Chaotic traffic is best left to the locals. Negotiate a good price for taxis or travel on the new Delhi Metro.

As the capital of both Punjab and Haryana, Chandigarh is a principal northern city with a strong postcolonial identity. Blending modernist architecture with central-European chic and traditional culture, this green metropolis draws visitors in with its landscaped gardens, thought-provoking museums, and rich history.