Anku posted an Question
August 08, 2020 • 18:05 pm 30 points
  • IIT JAM
  • Mathematics (MA)

How to solve please show steps i am not getting how to solve when mod m is large as in this case i.e.27

how to solve please show steps i am not getting how to solve when mod m is large as in this case i.e.27

2 Answer(s) Answer Now
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  • Shashi ranjan sinha Best Answer

    see the attachment

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    it has unique solution, which is 24 mod27

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    using this theorem, it follows that it has a unique solution

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    sir can u pls solve using euclidean algorithm

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    and then arrive at same ans.

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    okkk... let me solve it by that method

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    see the attachments

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    Hey Aaditya! both solutions are correct by their respective methods.... I hope it will clarify u

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    Plz consider both solutions and in case of doubt, u can ask me

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    sir pls explain how after x=51(mod27) ......x=24(mod27) came...pls explain

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    it's a full explanation of how congruence works....u should need to work on congruence modulo ...in case of any doubt, ask me

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    sir which book will be best where these are explained easily with examples

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    where are you from?

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    If you are a beginner, then I will suggest you to study a book in which u can get a number of solved examples. A book on number theory published by Krishna publication (if you know this publication and u can get it easily) can be preferred. Apart from this, u can study "Burton" .This is a standard book which is usually suggested by professors of IITs.

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    sir,i am from ranchi..

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    Then, I think Krishna publication book may be getable. Actually, I don't know whether it is a known book for all or not but I find it good to begin

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    sir its known for upsc exams ..what i know

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    okkk....then u can refer that Book

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    in case of any need, I will be there

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    okk sir..

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