The unit digit in (743)85 – (525)37 + (987)96 is ________
Explanation:
Unit's digit of (743)85 = Unit's digit of 385 = Unit's digit of (34)21 × 3 = 1 × 3 = 3 [Unit's digit of 34 = 1]
Units's digit of (525)37 = Units's digit of 537 = 5
Units's digit of (987)96 = Units's digit of 796 = Units's digit of (74)24 = 1 [Unit's digit of 74 = 1]
∴ Unit's digit of (743)85 – (525)37 + (987)96 = 3 - 5 + 1 = -1 = 9
Hence, option (a).
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