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Positive integers

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‘P’ is the smallest positive integer such that every positive integer N greater than ‘P’ can be written as a sum of two composite numbers. Then ‘P’ is:

Show that 7^(n) +5 is divisible by 6, where n is a positive integer

Knowledge Check

  • If we divide a positive integer by another positive integer, what is the resulting number?

    A
    Always a natural number
    B
    Always an integer
    C
    A rationa number
    D
    A irrational number

  • If we divide a positive integer by another positive integer, what is the resulting number?

    A
    it is always a natural number
    B
    it is always an integer
    C
    it is always a rational number
    D
    it is an irrational number.

  • The sum of a positive integer and its square is 2450. The positive integer is

    A
    45
    B
    48
    C
    49
    D
    50

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    The smallest positive integer is ................

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