Question
Find the unit digit of (57 129 Â -
7).Solution
Cyclicity of 7 = 7, 9, 3, 1, 7
Hence, we can see the last digits repeat themselves after every power of '4'.
So, unit digit of 57 129 Â = units digit of 7 (128 + 1)Â = 7 {Since, (128/4) = 32}
So, unit digit of 57 129 Â - 7 = unit digit of 7 1 Â - 7 = 7 - 7 = 0
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