Multiple Choice Questions on If 201919 is divided by 19 then what is the remainder ........ for PCS Exam Preparation

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Multiple Choice Questions

If 201919 is divided by 19 then what is the remainder ........

Quantitative Aptitude (PCS) Number System
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    If 201919 is divided by 19, then what is the remainder ? 

    This questions was previously asked in
    PCS Previous year General Studies paper (2018)
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    2

    Incorrect Answer

    3

    Incorrect Answer

    5

    Correct Answer

    7

    Incorrect Answer
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    Explanation:

    2019^19=2019*2019^18

    Now 19 is a prime and 2019 is not divisible by 19

    so as per Fermat’s theorem 2019^18 mod 19=1

    Thus 2019^19 mod 19=2019*1=2019 mod 19

    =(19*106+5) mod 19

    R=5

    By: santosh
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