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    What percentage of the numbers from 1 to 70, both included, have 1 or 7 in the unit's digit?
    Question

    What percentage of the numbers from 1 to 70, both included, have 1 or 7 in the unit's digit?

    A.

    21

    B.

    14

    C.

    20

    D.

    1

    Correct option is C

    Given:

    the percentage of numbers from 1 to 70 that have either 1 or 7 as the unit's digit.

    Solution:

    The numbers we are considering range from 1 to 70. 

    Numbers ending in 1:These numbers are 1, 11, 21, 31, 41, 51, 61.

    Numbers ending in 7: These numbers are 7, 17, 27, 37, 47, 57, 67.

    Thus, there are 7 + 7 = 14 numbers that end in either 1 or 7.

    The total number of integers from 1 to 70, inclusive, is 70.

    Percentage=(1470)×100=20%\text{Percentage} = \left( \frac{14}{70} \right) \times 100 = 20\% 

    ​Thus the percentage of numbers from 1 to 70 that have 1 or 7 in the unit's digit is 20%.

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