11x 10 = 110 not 111
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No, it is divisible by [41]
111 is divisible by 3 and 37
1, 3, 37, 111
Yes - 111/3 = 37
No, not necessarily. 121 is a palindrome number with 3 digits (odd) and is divisible by 11. So this satisfies the premise, but 101, 111, 131, etc are not divisible by 11.An example which satisfies the premise does not prove it true, but one which contradicts the premise is enough to prove it false.