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0, because 0 is the smallest number never found in an EVEN NUMBER.

1. All even numbers end in either a 0, 2, 4, 6 or 8. so we have 1,3 ,5 ,7 and 9. One is the smallest of those.

1 is the first odd natural number. An odd number will be never found in the unit's place for even number. So the lowest single-digit odd is 1 and will never be in the unit's place for even number.

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P.S. 1 one was the answer