The unit digit in \((743)^{85} - (525)^{37} + (987)^{96}\) is ________
Question and options
The unit digit in is ________
- 9
- 3
- 1
- 5
Answer and explanation
Correct answer: A - 9
Unit digits: 3^85 -> 3 (85 mod 4 = 1); 525^37 -> 5; 7^96 -> 1 (96 mod 4 = 0). The first term dominates, so the result ends in 3-5+1 = -1 -> 9 (mod 10).
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