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Q: What nine-digit number is divisible by 11 and has no repeating digits?

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A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.

A number is divisible by 3 if the sum of its digits is divisible by 3.

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

A repeating decimal is a rational number. Its value is(the repeating set of digits)/(as many 9s as there are digits above).

Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.Equivalently, halve the number formed by the last two digits. If the quotient is even, then the original number is divisible by 4.

If the last 3 digits are divisible by 8, the number is divisible by 8.

9

9

Yes.

4

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