Find the remainder when 82157 is divided by 9.
Correct Answer: Option B
If you can express the expression in the form \(\frac{{{{\left( {ax + 1} \right)}^n}}}{a}\)
the remainder will become 1 directly. In such a case no matter how large the power n is, the remainder is 1.
∴ Remainder in 82157/9, is equal to (9 × 9 + 1)157/9, which is equal to the remainder in 1157/9
Hence, required remainder = 1.
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