Discussion

Explanation:

Solving by options,

By option(1), we get,

297_B = 11² × 2 + 11 × 9 + 7 = 348

792_B = 11² × 7 + 11 × 9 + 2 = 948

Since 348, is not a factor of 948, option(1) is eliminated.

By option(2), we get,

297_B = 12² × 2 + 12 × 9 + 7 = 403

792_B = 12² × 7 + 12 × 9 + 2 = 1118

Since 403, is not a factor of 1118, option(2) is eliminated.

By option(3), we get,

297_B = 15² × 2 + 15 × 9 + 7 = 592

792_B = 15² × 7 + 15 × 9 + 2 = 1712

Since 592, is not a factor of 1712, option(3) is eliminated.

By option(4), we get,

297_B = 17² × 2 + 17 × 9 + 7 = 738

792_B = 17² × 7 + 17 × 9 + 2 = 2178

Since 738, is not a factor of 2178, option(4) is eliminated.

By option(5), we get,

297_B = 19² × 2 + 19 × 9 + 7 = 900

792_B = 19² × 7 + 19 × 9 + 2 = 2700

Since 900, is a factor of 2700,

Hence, option (e).

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