The unit digit in the product of (8267)153 × (341)72 is
Explanation:
The unit’s digit of (8267)153 is same as unit digit of 7153.
Since cyclicity of 7 is 4 and the remainder obtained when 153 is divided by 4 is 1,
∴ Unit’s digit of (8267)153 = unit’s digit of 7153 = unit’s digit of 71 = 7
Similarly,
Unit’s digit of (341)72 is same as unit’s digit of 172 = 1
Hence the unit’s digit of the product = 7 × 1 = 7
Hence, option (c).
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