Hey Puneet, Have you been to Himachal? Then from delhi you can cover up Himachal- You may go to Dalhousie,Dharamshala,Manali.
As its just 5days i would suggest you to opt for these 3places otherwise it would become hectic. Another option you have i.e Amritsar & Dalhousie.Both the places are very beautiful perfect for a 5days short trip. One more option is Pushkar lake and Mountabu (Rajasthan)
Another is Gwalior and Orccha (Madhya Pradesh).
Hello Puneet! You can cover a lot of neighbouring cities from Delhi in a span of five days! 1. If you want a taste of the ice-caped moutains, Himachal would be the perfect choice. If you havent already, you could cover the most popular destinations like Shimla, Manali, McLeodGanj, DharamShala, Kasol among others.
2. If you want to enjoy calm evenings with good food and hit the ride for historical India, go for Rajasthan. You could cover Jaipur, Ajmer, Chittorgarh, Jaisalmer etc.