What is the value of: (33 × 812 × 20)/95 ?

When simplifying a compound expression like (a × b × c)/d, first compute the full numerator product using the standard order of operations (multiplication before division), then perform the division exactly — cancelling or rounding terms without a genuine common factor changes the value and can lead to a wrong listed option.

1. Multiply the first two factors: 33 × 812 = 26,796.

2. Multiply the result by 20: 26,796 × 20 = 535,920.

3. Divide the product by 95: 535,920 ÷ 95 = 5641.2632 (to 4 decimal places).

Estimate first: 33 × 812 × 20 is close to 33 × 800 × 20 = 528,000, and 528,000 ÷ 95 is about 5558, the same order of magnitude as the exact value, so no major slip occurred. Exactly: 95 × 5641 = 535,895, and 535,920 − 535,895 = 25, so the value is 5641 + 25/95 = 5641 + 5/19 ≈ 5641.2632, matching the computed quotient.

Since the value is approximately 5641.2632, which matches none of the listed options 16, 17, or 18, the correct choice is None of these.