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