In order to take admission in engineering program you can appear for below entrance exams

JEE (Main+Advanced) - To take admission in IITs/NITs/IIITs an GFTIs you can appear in JEE exam.

To be eligible you should have 75% marks in your board exam or you should be in top 20 percentile.

For SC/ST you should have 65% marks.

To take admission in DTU or NSIT you should have 60% aggregate marks in P/C/M. There is relaxation of marks for reserved category. counselling will be held through JAC Delhi.

There are many private colleges as well who consider JEE Main score to provide admissions. You need to apply seperately for them.

You can check the list of colleges below

https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India-accepting-jee-main-score

BITSAT- You can appear in BITSAT to take admission to the Integrated First Degree Programmes of Engineering at its 3 campuses - Pilani, Goa and Hyderabad BITS Pilani will conduct BITSAT 2018 in online mode, tentatively from the third week of May to the last week of May 2018. In order to be eligible for this exam you should have 75% aggregate marks in Physics, Chemistry and Mathematics in your 2th class. Also, in each of the 3 subjects, they must also secure 60% marks separately.

VITEEE - VIT University conducts VIT Engineering Entrance Exam (VITEEE) for admissions to various undergraduate engineering programmes across its Vellore and Chennai campuses. There are nearly 5,000 B.Tech seats for which around two lakh candidates register for VITEEE every year In order to be eligible for this exam you should have scored an aggregate of 60% in Maths, Physics and Chemistry in 10+2 and for SC, ST, J&K, North Eastern states you should have scored an average 50% marks in Physics, Maths and Chemistry in 10+2 or its equivalent exam.

To apply for the application form you can refer below link

https://engineering.careers360.com/articles/viteee-application-form

SRM - SRM University conducts SRM Joint Engineering Entrance Examination (SRMJEEE) for granting admissions at nearly 7,000 undergraduate engineering seats across its four campuses - Kattankulathur, Ramapuram, Ramapuram Part– Vadapalani and NCR Ghaziabad.

Apart, from these there are other entrance exams as well like Amrita, Manipal and COMEDK.

You should also appear for your state level entrance exam to take admission in your state government colleges.

To know in detail about all the exam you can refer below link

https://engineering.careers360.com/exams

Good Luck!!