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If 2257 is the result of subtracting 4577 from 7056 in base n, find n

If 2257 is the result of subtracting 4577 from 7056 in base n, find n
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  • A 8
  • B 9
  • C 10
  • D 11
Correct Answer: Option A
Explanation:
\(\begin{array}{c|c} 7056 \\ \text{- 4577} \\\hline 2257 \end{array}\)
By trial and error method
Let the base to 8
i.e. Let n = 8 and it is easily verified that the subtraction holds.
The subtraction does not hold when other values of n are tried
n = 8

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