Trips from Patna
From Patna, Darjeeling and Sikkim are an overnight train to New Jalpaiguri (NJP) and then a few hours by road, which makes the eastern Himalaya the closest mountains to the city. Varanasi and Bodh Gaya are road or train trips.
We can plan trips from Patna to Meghalaya, Goa and Kashmir by flight, direct or with one connection.
Best weekend trips from Patna

Varanasi
The oldest living city, best seen from a boat at first light
About 5 to 6 hours by road, or a train, best with 1 to 2 nights.

Darjeeling
Tea gardens, toy trains and sunrise over Kangchenjunga
Overnight train to New Jalpaiguri, then about 3 hours by road, best as a 3 to 4 day trip.
Longer trips from Patna

Gangtok & Sikkim
Kangchenjunga, high lakes and the cleanest hill state in India
Overnight train to New Jalpaiguri, then 4 to 5 hours by road, 5 to 6 days with North Sikkim.

Meghalaya
Living root bridges, waterfalls and India's cleanest village
Fly into Guwahati, then about 3 hours by road to Shillong.

Kashmir
Srinagar, Gulmarg and Pahalgam, the trip that photographs itself
Fly into Srinagar, usually via Delhi, 5 to 7 days for the full circuit.
