Can i score 350+ in BITSAT 2020 having just 4 months to prepare?

Hello,
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You can do if you want to do and work hard for what you want.
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I will help you out with tips and books for preparation,
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Topics for physics preparation,

• Units and measurements
  
• Kinematics
  
• Newton's laws of motion
  
• Impulse and momentum
  
• Work and energy
  

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Topic for maths,

• Algebra
  
• Trigonometry
  
• 2 and 3 dimensional coordinate geometry
  
• Differential calculus
  
• Integral calculus
  

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Topics for English proficiency,

• Grammar
  
• Vocabulary
  
• Reading comprehension
  
• Composition
  

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Logical reasoning,

• Verbal reasoning
  
• Non-verbal reasoning
  

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Topics for chemistry,

• States of matter
  
• Atomic structure
  
• Thermodynamics
  
• Electro chemistry
  
• P, D , F block elements
  

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So here is your syllabus, once you have done this,  your half preparation  is completed and remaining half of preparation,  the below provided link will help you.
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https://engineering.careers360.com/articles/bitsat-2019
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Please refer the link even to know the best authors for best some topics for preparation. To be short, the link will help you out for full and best preparation.
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Tips for preparation,

• Do prepare a timetable
  
• Don't go for night studies
  
• Don't go for preparation more then an hour, change the subject after an hour
  
• Concentrate don't buttify
  
• Focus and understand what you are learning.
  

This will surely help you out for your preparation. So just concentrate and get done with it
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Best of luck