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The unit digit of (316)^3^4n + 1 is :

The unit digit of (316)34n + 1 is :
a) 4
b) 5
c) 1
d) 7

Answer: d
Explanation: The unit digit of (316)34n, depends on the power of 6.
See the pattern, 62 = 36
63 = 216
64 = 1296
Any power of 6 will give unit digit 6.
The unit digit of (316)34n always 6.
So, unit digit of (316)34n + 1 will be 7

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