What approximate value will come in place of question mark (?) in the…

Concept

In an "approximate value" question, replace every messy decimal with the nearest convenient whole number and then evaluate the expression with those rounded numbers. The structure here is (A ÷ B) = ? ÷ C, which rearranges to ? = (A ÷ B) × C. A ÷ B is itself a division of two fractions, and dividing by a fraction means multiplying by its reciprocal.

Application

1. Round each value to its nearest whole number: 256.03 ≈ 256, 15.99 ≈ 16, 3.98 ≈ 4, 1.99 ≈ 2, 12.01 ≈ 12.

2. First fraction: 256 ÷ 16 = 16.

3. Second fraction: 4 ÷ 2 = 2.

4. Divide the two results: 16 ÷ 2 = 8. So the whole left-hand side ≈ 8.

5. The equation now reads 8 = ? ÷ 12, so multiply both sides by 12: ? = 8 × 12 = 96.

Cross-check

Using the unrounded values, (256.03 ÷ 15.99) ÷ (3.98 ÷ 1.99) × 12.01 ≈ 96.15, which rounds to 96 — confirming the estimate is on target and not borderline between two options.