Decimal of base-9 number – UGC NET Question

For 458₉: 4×9² + 5×9¹ + 8×9⁰ = 4×81 + 5×9 + 8 = 324 + 45 + 8 = 377. Therefore, the decimal equivalent is 377.

Option A:
Option A correctly applies base-9 positional weights and sums to 377.

Option B:
Option B (365) is too small and reflects an error in weighting or addition.

Option C:
Option C (389) is too large and would require extra value not present in the digits.

Option D:
Option D (401) is far above the correct sum and cannot arise from 4,5,8 with powers 81,9,1.