Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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If 270 square feet is equivalent to ¾ acre, how many acres do you have if you own 4,320 square feet?

  1. 5

  2. 10

  3. 15

  4. 12

The correct answer is: 12

To determine how many acres are contained in 4,320 square feet when you know that 270 square feet is equivalent to ¾ acre, you can set up a conversion based on the ratio of square feet to acres. Firstly, you can find out how many square feet are in one full acre. Since ¾ acre equals 270 square feet, you can determine the size of one acre by calculating: 1 acre = 270 square feet ÷ (3/4) = 270 square feet × (4/3) = 360 square feet. Now, knowing that 1 acre equals 43,560 square feet (which is the standard conversion for acres), you can validate this calculation: - 360 square feet is incorrect, as it does not align with the known conversion. So instead, using the ratio provided, 270 square feet corresponding to ¾ acre can help find the total square feet in one acre: 1 acre = (270 square feet) / (¾) = 270 × (4/3) = 360 square feet total in equivalency measure will yield the reasoning used in the ratios suggesting more extensive area conversions. Now, you can set up a proportion to find the number of acres in

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