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The Indian Institutes of Technology (IITs, total 15+1)  are autonomous engineering and technology-oriented institutes of higher education established and declared as Institutes of National Importance by the Parliament of India. These are located at  : IIT Kharagpur  · IIT Mumbai · IIT Kanpur · IIT Chennai · IIT Delhi · IIT Guwahati · IIT Roorkee · IIT Roopnagar · IIT Jaipur · IIT Hyderabad · IIT Bhubaneshwar · IIT Gandhinagar · IIT Mandi · IIT Indore · IIT Patna and IIT Varanasi (via conversion of the IT BHU).

IIT's own web sites :

IIT Kharagpur  · IIT Bombay · IIT Kanpur · IIT Madras  · IIT Delhi · IIT Guwahati · IIT Roorkee · IIT Punjab (Roopnagar) · IIT Rajasthan (Jaipur) · IIT Hyderabad ·  IIT Indore · IIT Bhubaneshwar · IIT Gandhinagar · IIT Mandi · IIT Patna and IIT Varanasi (IT BHU).

About IITs :

http://en.wikipedia.org/wiki/Indian_Institutes_of_Technology

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National Institutes of Technology (NITs, total 20) earlier called Regional Engineering Colleges (RECs), are the premier colleges of engineering and technology  education,  functioning  as  autonomous technical universities. They have different names as : NIT Agartala · MNNIT Allahabad · MANIT Bhopal · NIT Calicut · NIT Durgapur · NIT Hamirpur · MNIT Jaipur · NIT Jalandhar · NIT Jamshedpur ·  NIT Kurukshetra · VNIT Nagpur · NIT Patna · NIT Raipur · NIT Rourkela · NIT Silchar · NIT Srinagar · SVNIT Surat · NITK Surathkal · NIT-Trichy · NIT Warangal . 

NIT's own web sites :

NIT Agartala · MNNIT Allahabad · MANIT Bhopal · NIT Calicut · NIT Durgapur · NIT Hamirpur · MNIT Jaipur · NIT Jalandhar · NIT Jamshedpur ·  NIT Kurukshetra · VNIT Nagpur · NIT Patna · NIT Raipur · NIT Rourkela · NIT Silchar · NIT Srinagar · SVNIT Surat · NITK Surathkal · NIT-Trichy · NIT Warangal

About NITs :

http://en.wikipedia.org/wiki/National_Institutes_of_Technology

http://en.wikipedia.org/wiki/List_of_National_Institutes_of_Technology

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Other Top Engineering Institutions & Deemed Universities

BITS Pilani · College of Engg,Guindy · Faculty OF Engg & Tech Jadavpur · ISM Dhanbad · BITS Mesra · DEC Delhi · PEC Chandigarh · TIET Patiala · Bengal Engg and Science University Shibpur ·  PSG college of Tech Coimbatore · HBTI Kanpur · UCE Osmania University ·  College of Engg Andhra University · NSIT Delhi · College of Engg  Pune ·  MIT Manipal · JNTU Hyderabad · R.V. College of Engg Banglore · UVCE Bangalore · VJTI Mumbai · VIT Vellore · CIT Coimbatore · SSN College of Engg · College of Engg, Thiruvananthapuram · SPCE Mumbai ·  PESIT Bangalore ·  MIT Pune · NIE Mysore ·  B.M.S. College of Eng Banglore · Nirma Inst of Tech Ahmedabad · Amity School of Engg Noida  · JIET Guna  · JNTU Kakinada · S.J. College of Engg  Mysore · CBIT Hyderabad · SRM Inst of Sci & Tech Chennai · SASTRA Thanjavur · Bangalore Inst of Tech · JNTU Anantpur · MSRIT Bangalore · GITAM Inst of Tech Vishakhapatnam · VIT Pune · D.J.S. College of Engg Mumbai · GNDEC Ludhiana · DDIT Nadiad · SGSITS Indore · JUIT Waknaghat · GCET Vallabh Vidyanagar · KIIT Bhubaneswar  · JIIT Noida  ·  ( this is not an exhaustive list, there are more )

http://en.wikipedia.org/wiki/Engineering_college_rankings_in_India

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State-wise Engineering Institutions & Deemed Universities 

Andaman Nicobar · Andhra Pradesh · Arunachal Pradesh · Assam · Bihar · Chandigarh · Chhattisgarh · Dadra and Nagar Haveli · Daman and Diu, Delhi, Goa, Gujarat, Haryana, Himachal Pradesh · Jammu and Kashmir · Jharkhand · Karnataka · Kerala · Lakshadweep, Madhya Pradesh · Maharashtra · Manipur · Meghalaya · Mizoram · Nagaland · Orissa, Pondicherry · Punjab · Rajasthan · Sikkim · Tamil Nadu · Tripura · Uttar Pradesh · Uttaranchal · West Bengal

http://www.collegespeaks.com/CollegeList/India/Engineering-Colleges