Home » Past Questions » Mathematics » 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


Question

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

Options

A) 8\(\frac{17}{30}\)

B) 9\(\frac{9}{10}\)

C) 10\(\frac{1}{10}\)

D) 11\(\frac{11}{36}\)

The correct answer is 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

More Past Questions:


Dicussion (1)

  • \(\begin{array}{c|c} 7056 \\ \text{- 4577} \\\hline 2257 \end{array}\)
    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

    Reply
    Like