You can follow below strategies to crack BITSAT in one month-

1- Previous year papers- To crack any exam you should be aware of the exam pattern of the exam and level of questions which is asked in the exam for that you can go through past year problems.

2- Mock test series- Since  BITSAT is a online exam. So, you should solve as many as mock test series for your preparation and you will also get to know your strength and weaknesses and you can work upon them.

3- Logical Reasoning and English Proficiency- 25 questions are reserved from this section. You should daily read the newspaper to crack this section.

Important topics to cover in BITSAT-

Physics-  Mechanics (Newtons Laws, Work and Energy, Rotational Dynamics etc), Thermodynamics (this will fetch you marks like nothing else), Electrostatics and Electromagnetism.

Mathematics-  You are likely to get almost 50% of the paper from Integral Calculus, Differential Calculus, Coordinate Geometry and Complex Numbers. Make sure you know their basics very well.

Chemistry-  Try and go for a ride with NCERT for Inorganic Chemistry. Getting the basics right for Ionic Equilibrium, Chemical Equilibrium and Gas Laws might come in handy for Physical Chemistry. If you are comfortable with Organic Chemistry, go for a quick revision, else skip it. You are not likely to grasp the complex mechanisms of Organic Chemistry too soon!

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