Decimal from base-7 number – UGC NET Question

For 352₇, compute 3×7² + 5×7¹ + 2×7⁰ = 3×49 + 5×7 + 2 = 147 + 35 + 2 = 184. Therefore, the decimal equivalent is 184.

Option A:
Option A is correct because it follows standard positional conversion from base-7 to decimal and gives 184.

Option B:
Option B (179) would result from incorrect weighting or arithmetic and does not match 147 + 35 + 2.

Option C:
Option C (173) underestimates the correct sum and indicates an error in place-value contribution.

Option D:
Option D (191) overshoots the correct total and would require larger digit-weight products than present.