As you have asked about the engineering entrance exam dates, I am mentioning them, check below for the details

BSAUEEE 2016- BS Abdur Rehman University Entrance Exam
April 24, 2016
Chennai Mathematical Institute Admission 2016 - CMI Chennai
(Scholarship of Rs. 5000 p.m. to all students) May18, 2016
IUET 2016 - Integral University Lucknow Admission
May 7, 2016
CG PAT 2016 - Chhattisgarh Pre Agriculture Test
May 5, 2016
PESSAT 2016 - PES University
B.Tech:May 2 -May 20, 2016; other course Jan 6-July 2016
CET Delhi 2016 Polytechnic Entrance Exam
May 28-29, 2016
ATIT 2016 - B.Tech admission at ICFAI University
May 1, May 3-18, 2016
KLUEEE 2016
April 30, 2016 (Written) May 13 & 14, 2016 (Online)
AIT Pune Admission 2016 - Army Institute of Technology, Pune
On the basis of JEE Main 2016
Thapar University Admission 2016 in Engineering Courses
On the basis of JEE Main
JCECE 2016- Jharkhand Combined Entrance Examination
May 2016
PUCET 2016
May 22, 2016
TS EAMCET 2016
May 2, 2016
Banasthali Vidyapeeth Admission 2016 - B.Tech & B.Pharm
(Only for Girls) May 28, 2016
VIT Law School Admission 2016
April 2016 (to be announced)
ICAR 2016 Exam - 21st AIEEA UG 2016
(Indian Council of Agricultural Research (ICAR)) May 21, 2016
HP CET 2016 - Himachal Pradesh Common Entrance Test
May 14, 2016
UPESEAT 2016 | UPES Engineering Aptitude Test- B.Tech & B.Design
May 15, 2016
JEE Advanced 2016
May 22, 2016
SLIET 2016 | Sant Longowal Institute of Engineering & Technology
On the basis of JEE Main 2016
Mahindra Ecole Centrale Engineering Admission 2016
On the basis of JEE Main 2016
Manipal University Jaipur Admission 2016

IMU CET 2016
June 4, 2016
MERI Kolkata Admission 2016 for B.Tech
June 4, 2016
MERI Mumbai Admission 2016
June 4, 2016
RIE CEE 2016 for Admission in RIE Ajmer, RIE Bhopal Etc.
June 19, 2016
SMIT B.Tech. Admission 2016 | Sikkim Manipal Institute of Technology
SMIT Offline test: May 15, 2016
BVP CET 2016 - Bharati Vidyapeeth Engineering Entrance Exam
May 22, 2016
Symbiosis Institute of Technology - SET 2016
May 7, 2016
SHIATS Allahabad Admission 2016
June 6, 2016
GEEE 2016 - Galgotias University Admission
June 12, 2016
Manipal University B. Arch Admission 2016
On the basis of NATA
TMISAT 2016 | Tolani Maritime Institute - Merchant Navy
(B.S. Marine Engineering & Nautical Technology ) First/second week of May 2016 & June 2016
DASA 2016 Admission - Direct Admission of Students Abroad
(Foreign Nationals/ Persons of Indian Origin (PIOs)/ NRIs Date is tentative) Based on SAT Score
JAC Delhi 2016- Joint Counselling for DTU, NSIT, IIIT D, IGDTUW
JAC Counselling
IISER 2016 Admission for BS MS Dual Degree
(KVPY stream: June 12, 2016 JEE stream: June 20, 2016 SCB stream: June 22, 2016) KVPY stream: June 12, 2016 JEE stream: June 20, 2016 SCB stream: June 22, 2016
DTE Maharashtra - Centralised Admission Process 2016
On the basis of NATA and JEE Main Paper 2 2016
ICT Mumbai Admissions 2016- B.Tech and B. Pharm.
On the basis of JEE Main 2016
DAIICT Admission 2016- Dhirubhai Ambani Engineering College
(B.Tech Admission) Based on JEE Main 2016
Sir JJ College of Architecture Admissions 2016
On the Basis of NATA 2016
PDPU Admission 2016 | Pandit Deendayal Petroleum University
On the basis of JEE Main 2016
Jaypee B.Tech Admission 2016 via JEE Main
On the basis of JEE Main 2016 Rank
IPU B.Arch Admission 2016- Application form, Colleges, Cut off, Fees
On the basis of Class 12 + NATA
JoSAA 2016 Registration, Eligibility, Rank List, Dates
On the basis of JEE Main and JEE Advanced
VIT B.Arch Admission 2016
Counselling June 22, 2016 (tentative)
PTU Counselling 2016
Counselling in July 2016
JAC Chandigarh 2016
On the basis of JEE Main 2016
ISM Dhanbad Admissions 2016 for B.Tech
(Tentative Dates) On the basis of JEE Advanced
BIT Mesra Admission 2016 | Birla Institute of Technology
Based on JEE Main 2016
IIIT Hyderabad Admission 2016
(Exam dates vary for various admission routes. ) April 17, 2016
IIIT Delhi Admission 2016
On the basis of JEE Main
NIIT Univesity BTech Admission 2016
JEE Main, BITSAT, SAT, Other Engg Exam, NUET
NATA 2016 - National Aptitude Test In Architecture
(A Compulsory Exam for admission to Architecture Courses) April 1 - May 28, 2016 & June 6 - Aug 20, 2016