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Byju's Answer
Standard XII
Mathematics
Definition of Sets
If there is n...
Question
If there is natural number n relative prime with 10. Then show that there exist another natural number m such that all digits are 1's and m is div. by 'n'.
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Solution
Let
m
=
1
Co prime numbers are these, it
the only positive integer that
divides both of them is 1 so,
m cannot be 1
Let
m
=
11
Only numbers that divides 11 is 1
So, m cannot be 11
Let
m
=
111
m is divisible by 3 must all digits
are not 1
Let
m
=
1111
m is dissoluble by 11 which is
Co prime
with 10
So
m
=
1111
or
11.11
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