I will let you know about Birla Institute Of Technology And Science Pilani Entrance Test so that you can have idea.

Eligibility
Candidates must have completed HSC Examination from a recognized university to apply for the examination.

Applicants must have scored at least 75% aggregate in PMC (Physics, Chemistry and Mathematics) or PCB (Physics, Chemistry and Biology) subjects and at least 60% of aggregate in all subjects individually to appear for the examination.

Applicants who are appearing 12th in 2016 and who have passed 12th in 2015 can apply for the examination.

Students who obtain first rank in any central or state level board exam in India held in the year 2016 will be given direct admission to the programme of their choice, irrespective of their BITSAT-2015 score subject to fulfilling the eligibility criteria

Exam pattern
BITSAT is Computer based online exam.
The paper comprises of 150 multiple choice objective type questions.
Time for the exam will be about 3 hours.
Applicant will get 3 marks for each correct answer and 1 mark will be reduced for each wrong answer.
The distribution of subject and question is as follows:

Section Subject No of Question
1 Physics 40
2 Chemistry 40
3 English Proficiency 15
Logical Reasoning 10
4 Mathematics/Biology 45
Total 150

Syllabus
Physics:
Kinematics
Newton’s Laws of Motion
Oscillations
Units & Measurement
Mechanics of Solids and Fluids
Impulse and Momentum
Work and Energy
Rotational Motion
Gravitation
Heat and Thermodynamics
Electrostatics
Electronic Devices
Current Electricity
Waves
Magnetic Effect of Current
Optics
Electromagnetic Induction
Modern Physics

Chemistry:
Electrochemistry
Atomic Structure
Chemical Bonding & Molecular Structure
Chemical Kinetics
Thermodynamics
States of Matter
Hydrogen and s-block elements
Physical and Chemical Equilibria
p- d- and f-block elements
Stereochemistry
Principles of Organic Chemistry and Hydrocarbons
Theoretical Principles of Experimental Chemistry
Organic Compounds with Functional Groups Containing Oxygen and Nitrogen
Biological , Industrial and Environmental chemistry

Mathematics:
Trigonometry
Algebra
Two-dimensional Coordinate Geometry
Differential calculus
Three dimensional Coordinate Geometry
Linear Programming
Ordinary Differential Equations
Vectors
Integral calculus
Probability
Statistics
Mathematical Modelling

English Proficiency & Logical Reasoning:
Vocabulary
Grammar
Composition
Reading Comprehension
Nonverbal Reasoning
Verbal Reasoning