The unit's digit of 12^222 +23^333 + 34^444 is
(a) 3
(b) 2
(C) 4
(d) 5
Answers
Answered by
0
Answer:
5
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Step-by-step explanation:
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Answered by
3
Answer:
3
Step-by-step explanation:
The unit digit of 12∧222.
12 ---->here the unit digit is 2
cyclicity of 2 is 4
divide 222 by 4. The remainder is 2
unit digit∧remainder=2∧2
The unit digit of 12∧222=4
The unit digit of 23∧333.
23---->here the unit digit is 3
cyclicity of 3 is 4
divide 333 by 4. The remainder is 1
unit digit∧remainder=3∧1
The unit digit of 23∧333=3
The unit digit of 34∧444.
34 here the unit digit is 4
cyclicity of 4 is 2
divide 444 by 2. The remainder is 0
when the remainder is 0 ( unit digit 2,4,6,8=6 & 3,7,9=0)
The unit digit of 34∧444=6
12∧222+23∧333+34∧444=4+3+6=13
The unit digit is 3
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