Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

If 35 acres are destroyed out of 42, what percent of the acreages is destroyed?

1. 75%

2. 83.33%

3. 90%

4. 85%

The correct answer is: 83.33%

To determine what percentage of the acreages is destroyed, you can use the formula for calculating percentage: \[ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 \] In this scenario, the "part" is the 35 acres that are destroyed, and the "whole" is the total of 42 acres. Plugging these values into the formula gives: \[ \text{Percentage} = \left( \frac{35}{42} \right) \times 100 \] First, you calculate the fraction \( \frac{35}{42} \). To simplify, divide both the numerator and denominator by their greatest common divisor, which is 7: \[ \frac{35 \div 7}{42 \div 7} = \frac{5}{6} \] Next, multiply this fraction by 100 to convert it into a percentage: \[ \frac{5}{6} \times 100 \approx 83.33\% \] Thus, approximately 83.33% of the acreages is destroyed, confirming that the second choice is the correct answer. This process demonstrates how to accurately find a