Hi,  Yes you can apply in good colleges for engineering. In Chandigarh, BTech colleges are:
1. Chandigarh Engg College, Mohali
2. Chitkara University
3. Chandigarh University
In Mohali, BTech colleges you can refer to are:
1. Shaheed Udham Singh College of Engg and Technology
2. Universal group of Institutions
3. Swami Parmanand College of Engg and Technology
In Varanasi:
1. Ashoka Institute of Technology and Management
2. Kashi Institute of Technology
3.  M.P School of Engg

You can even refer to their official sites for more details. Good Luck.

You can check the top private colleges for engineering from the given below link-

http://www.engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India