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!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

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If a miniature cathedral is built at 1/250th of the size of the actual cathedral and the miniature is 1.2 inches high, how tall is the actual cathedral?

250 inches
300 inches
200 inches
350 inches

The correct answer is: 300 inches

To find the height of the actual cathedral based on the height of the miniature model, we can use the scale factor given in the problem. The miniature model is built at a scale of 1/250th the size of the actual cathedral. This means that the actual cathedral is 250 times taller than the miniature. Given that the height of the miniature cathedral is 1.2 inches, we can calculate the actual height by multiplying the height of the miniature by the scale factor: Actual Height = Miniature Height × Scale Factor Actual Height = 1.2 inches × 250 Now performing the multiplication: Actual Height = 1.2 × 250 = 300 inches. Thus, the actual cathedral is 300 inches tall. The answer aligns with the reasoning behind using the scale to determine proportional heights, demonstrating how to apply a scale factor in real-world applications, such as models or diagrams.