Colleges in Kharagpur

Hi
IITs offer only B.tech and not B.Sc. and admissions are through JEE and so far there is no lateral entry admissions offered. Check here for more details.
http://www.iitkgp.ac.in/topfiles/acad_progs.php
If you wish to try another universities, here is the list.
List of Engineering Lateral Entry Entrance Exams
AIEEE All India Engineering Entrance Exams
Calicut University Lateral Entry Entrance Exams
Delhi technical University Lateral Entry Entrance Examination
Kerala University Lateral Entry Exam
KIIT University Lateral Entry Entrance Examination
Lateral Entry Entrance Test LEET
LPU NEAT (National Engineering Aptitude Test)
MIT-Manipal BE Lateral Entry Entrance Exam
Mumbai University Lateral Entry Entrance Examination
Punjab Technical University Lateral Entry Entrance Test (PTU LEET)
UKSEE B.Tech (Lateral Entry) Entrance Exam
Uttarakhand Technical University Lateral Entry Entrance Test
West Bengal University Joint Entrance Exam for Lateral Entry (JELET)

Dear Nooh,
The basic eligibility for admission in a bachelor's degree is successfully completing higher secondary school certificate (10+2) examination with science subject such as physics, maths and chemistry. Admissions are usually done through entrance examinations. However, it is always advisable to get in touch with the institute to get the exact details about the admission procedure as admission process and eligibility vary from institute to institute. For seeking admissions in IITs, it is mandatory to clear JEE Advance.
For the list of institutes, refer to the below link
https://www.shiksha.com/top-engineering-colleges-in-india-rankingpage-44-2-0-0-0
(In the above link, you can refine your search as per your city preference)
Before seeking admission in any institute, kindly check the below mentioned parameters such as affiliation, accreditation, fee structure, curriculum, admission procedure, entrance exam patterns, etc.
Hope this helps.
Wish you luck.