Question

# There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444 etc.). Such a number is always divisible by :

Solution

## Let the no. be $$'a aa aaa'= N$$$$(1\leq a\leq 9)$$ $$N=a[111111]$$As $$'111111'$$ is divisible by $$7,11$$ and $$13$$ $$\therefore$$ $$'N'$$ is divisible by $$7,11$$ and $$13$$.Mathematics

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