Question
Find the unit digit of (9245 - 2).
Solution
Cyclicity of 2 = 2, 4, 8, 6, 2 Hence, we can see the last digits repeat themselves after every power of '4'. So, unit digit of 9245 = units digit of 2(44 + 1) = 2
{Since, (44/4) = 11} So, unit digit of 9245 - 2
= unit digit of 2 - 2
= 2 - 2 = 0
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