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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A recipe calls for 3 cups of flour to make 12 cookies. How much flour is needed to make 30 cookies?

  1. 6.5 cups

  2. 5 cups

  3. 7.5 cups

  4. 9 cups

The correct answer is: 6.5 cups

To determine how much flour is needed to make 30 cookies based on the initial quantity given for 12 cookies, we can start by calculating the amount of flour required per cookie. The recipe states that 3 cups of flour is used to make 12 cookies. First, we find the flour needed for one cookie: \[ \text{Flour per cookie} = \frac{3 \text{ cups}}{12 \text{ cookies}} = 0.25 \text{ cups per cookie} \] Next, we will calculate how much flour is needed for 30 cookies by multiplying the flour required for one cookie by the number of cookies we want to make: \[ \text{Flour for 30 cookies} = 30 \text{ cookies} \times 0.25 \text{ cups per cookie} = 7.5 \text{ cups} \] Thus, to make 30 cookies, 7.5 cups of flour is required. This shows that the correct answer is arrived at by proportionally scaling the amount of flour based on the number of cookies. The choice of 6.5 cups would suggest an insufficient amount of flour, whereas 5 cups is even less.