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Show that 12^n cannot end with the digit...

Show that `12^n` cannot end with the digits `0` or `5` for any natural number `n`

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Knowledge Check

  • p^(n)=(axx5)^(n) For p^(n) to end with the digit zero a- ________________ for natural number of n.

    A
    any natural number
    B
    even number
    C
    odd number
    D
    none of these

  • Assertion (A): 6^(n) ends with the digit zero where n is a natural number. Reason (R):Any number ends with digit zero, if its prime factor is of the form 2^(m)xx5^(n) , where m,n are natural numbers.

    A
    Both A and R are true and R is the correct explanation for A .
    B
    Both A and Rare true and R is not correct explanation for A.
    C
    A is true but R is false.
    D
    A is false but R is true.

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    Check whether 15^(n) can end with digit zero for any natural number n.

    Can 15^(n) end with the digit 0 , for any natural number n . Justify your answer .

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