A positive integer in divided by 11 gives remainder 6 if 4m + 5 is divided by 11 the remainder is

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A positive integer in divided by 11 gives remainder 6 if 4m + 5 is divided by 11 the remainder is

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  1. Answer:

    If m is divided by 7, the remainder is 4, that can be written as:

    m=7x+4 for some integer x.

    Then m+26 can be written as,

    (7x+4)+26

    ⇒ 7x+30

    ⇒ 7x+7×4+2.

    ⇒ 7(x+4)+2.

    As you see, if the m +26 is divided by 7, then the (x+7) is factor and the remainder is 2.

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