For preparation you can refer to following reference books as per your choice and understanding for self preparation :
1) How to prepare for Quantitative Aptitude for the CAT How to prepare for Data Interpretation for the CAT How to prepare for Logical Reasoning for the CAT How to prepare for Verbal Ability and Reading Comprehension for the CAT
All by Arun Sharma and Minakshi Upadhyay
2) Pearson Guide to Quantitative Aptitude for CAT by Nishit Sinha Pearson Guide to Quantitative Aptitude and Data Intrepretation for CAT by Nishit Sinha Pearson Guide to Verbal Ability and Logical Reasoning for CAT by Nishit Sinha There are others books like Word Power Made Easy by Norman Lewis, High School English Grammar and Composition by Wren and Martin etc to help you for your preparation.
Also
There are websites offering free and paid CAT coaching and also there are YouTube channels who can help you regarding the same.
You can also join various coaching institutes like TIME, CL, IMS etc or the online coaching institutes also for concepts and mock tests.
All the best!

First of all it will prove very fruitful to you if you start preparing for cat that early. So, CAT consists of 3 sections mainly which are quantitative ability, verbal ability and reading comprehension and logical ability. Being a maths student Quant is going to be pretty easy for you. For english i.e. verbal ability and reading comprehension you need to read more and solve questiond related to vocabulary,decision making, reading comprehension, sentence correction, jumbled sentences, etc. You will have to read books of different genres to increase your reading speed well as comprehension skills. Moreover, it will build your vocabulary also. Go for good authors such as agatha christie, P.G. Wodehouse, etc. Read newspapers on a regular basis such as times of india. You can also read magazines such as the economist, sports star, etc. according to your area of interest. For logical ability you need to solve a lot of puzzles. For the complete syllabus and other details you can check on careers360 website.

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