Home » 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

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

  • 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