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Show that any positive odd integer …

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Show that any positive odd integer is of the form 6q+1, 6q+3, 6q+5 , where q is some integer

    • Posted by Pallavi Kumari 4 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Pallavi Kumari 4 years, 9 months ago

    Thank you

    3Thank You

    Yogita Ingle 4 years, 9 months ago

    Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder.

    according to Euclid’s division lemma
    a=bq+r

    a=6q+r

    where , a=0,1,2,3,4,5
    then,
    a=6q
    or
    a=6q+1
    or
    a=6q+2
    or
    a=6q+3
    or
    a=6q+4
    or
    a=6q+5

    but here,
    a=6q+1 & a=6q+3 & a=6q+5 are odd.

    3Thank You

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