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Question

Using divisibility tests, determine the following number is divisible by $$11$$.
$$901153$$.

Solution
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Sum of the digits at odd places$$=3+1+0=4$$
Sum of the digits at even places$$=5+1+9=15$$
Difference$$=15-4=11$$
The difference between the sum of the digits at odd places and the sum of the digits at even places is $$11$$, which is divisible by $$11$$. Therefore, $$901153$$ is divisible by $$11$$.

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