Cyclicity of 2: 21 = 2, 2 2 = 4, 2 3 = 8, 2 4 = 16, 2 5 = 32 Hence, we can see the last digits repeat themselves after every power of 4. So, Units digit of (12123 – 1) = Unit digit of {2(4 × 30 + 3) – 1} = {23 – 1} = 8 – 1 = 7
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