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  • Greatest number which divides 32,162,237 to leave same remainder

    Sachin Jain

    Sachin Jain

    @sachin-0wuUmc
    Updated: Oct 27, 2024
    Views: 1.1K
    Find the greatest number which divides 132,62,237 to leave same remainder.
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Replies

  • 4M4N

    Member • Dec 21, 2010

    Answer:5
    3 and 5 are only numbers that divide 32,162,237 and leave the same remainder. thus 5>3
    Correct me if wrong
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  • Deepika Bansal

    Member • Dec 21, 2010

    4M4N
    Answer:5
    3 and 5 are only numbers that divide 32,162,237 and leave the same remainder. thus 5>3
    Correct me if wrong
    Though i dont know the answeres, but i think neither 3 nor 5 can be the answeres to this question. This is so because when 32,162,237 is divided by 3 or 5, we get 2 as remainder.
    But the question says that the remainder should be same as the divisor....

    If wrong, please correct me..
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  • Sachin Jain

    Member • Dec 21, 2010

    @Deepika---> Remainder should be same in all cases.....

    Can you please try the same for these numbers : -

    62,132 and 237

    And please post your method also.

    Sorry 😔
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  • Deepika Bansal

    Member • Dec 22, 2010

    The method which i am following is as:

    If I have to test a number 'x' for the solution then, (32,162,237-x)mod x=0.

    and why are you sorry blunderboy....??
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  • 4M4N

    Member • Dec 22, 2010

    @deepika is it compulsory that remainder should always be 0(according to ur method), as we can see remainder in the 1st example is non zero and can be anything
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  • Sachin Jain

    Member • Dec 22, 2010

    @Deepika
    I said sorry because i gave wrong numbers first time.
    Actually numbers are 62,132,237.

    I am not getting your solution beacuse its very difficult to find the value of x.
    As far as i think..
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  • Deepika Bansal

    Member • Dec 22, 2010

    Ok now I got it. You mean numbers are 62,132 and 237. I thought its a single number as 62132237.
    Sorry.😔

    4M4N now i also think 5 is the answere.......
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  • Sachin Jain

    Member • Dec 22, 2010

    No Guys,
    Its answer is 35.

    62 % 35 =27 (35x1=35)

    132%35=27 (35x3=105)

    237 % 35=27 (35x6=210)

    Now think of its solution.
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  • 4M4N

    Member • Dec 22, 2010

    35 may be answer of 62,132,237 but i solved for 32,162,237 and its answer is :5
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  • Reya

    Member • Dec 22, 2010

    blunderboy
    No Guys,
    Its answer is 35.

    62 % 35 =27 (35x1=35)

    132%35=27 (35x3=105)

    237 % 35=27 (35x6=210)

    Now think of its solution.
    How did you find the value of x?
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