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Question : What is the unit digit of $125^{125}+216^{216}$?

Option 1: 5

Option 2: 1

Option 3: 6

Option 4: 7


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : Given:
125 125 + 216 216
Any power of 6 gives the unit digit 6, and also any power of 5 gives the unit digit 5.
Unit digit → 5 + 6 → 11 →1
So, the unit digit of 125 125 + 216 216 is 1.
Hence, the correct answer is 1.

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