Nursing Elites

1. Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for π.

• A. 2.4
• B. 207.64
• C. 15.1
• D. 30.1

Correct answer: B

Rationale: The formula for the area of a full circle is calculated as Area = π × (radius²). When finding the area of half a circle, we multiply by 0.5. Thus, the formula becomes Area = 0.5 × π × (radius²). Given that the radius of the circular garden is 11.5 feet, the calculation using π = 3.14 is as follows: Area = 0.5 × 3.14 × (11.5²) = 0.5 × 3.14 × 132.25 = 0.5 × 415.27 = 207.64 square feet. Therefore, the correct answer is B. Choices A, C, and D are incorrect because they do not reflect the correct calculation for finding the area of half a circular garden with a radius of 11.5 feet.

2. This chart indicates the number of sales of CDs, vinyl records, and MP3 downloads that occurred over the last year. Approximately what percentage of the total sales was from CDs?

• A. 55%
• B. 25%
• C. 40%
• D. 5%

Correct answer: C

Rationale: To determine the percentage of CD sales out of the total sales, we need to consider the total sales of CDs, vinyl records, and MP3 downloads. To find the percentage of CD sales, we divide the total sales of CDs by the sum of total sales of CDs, vinyl records, and MP3 downloads, and then multiply by 100. In this case, the correct calculation shows that CDs accounted for 40% of the total sales. Choice A (55%) is incorrect as it overestimates the contribution of CDs. Choice B (25%) is incorrect as it underestimates the percentage of CD sales. Choice D (5%) is also incorrect as it severely underestimates the share of CD sales in the total sales.

3. Which of the following equations correctly models the relationship between x and y when y is three times x?

• A. y = 3x
• B. x = 3y
• C. y = x + 3
• D. y = x / 3

Correct answer: A

Rationale: The correct equation that models the relationship between x and y when y is three times x is y = 3x. This equation represents that y is equal to three times x. Choice B (x = 3y) incorrectly reverses the relationship, stating that x is equal to three times y. Choice C (y = x + 3) and Choice D (y = x / 3) do not correctly represent a relationship where y is three times x, making them incorrect choices.

4. Approximately what percentage more staff members at Hospital Y are female than at Hospital X?

• A. 5
• B. 10
• C. 15
• D. 20

Correct answer: B

Rationale: To find the percentage more staff members at Hospital Y are female than at Hospital X, we first calculate the percentage of female staff members at each hospital. For Hospital Y: (90 / 183) x 100 ≈ 49.2%. For Hospital X: (97 / 250) x 100 ≈ 38.8%. The difference between these percentages is approximately 10%, making choice B the correct answer. Choice A, 5%, is too low as the difference is greater. Choice C, 15%, and choice D, 20%, are both too high as the actual difference is closer to 10%.

5. A container holds 10 liters of water. If 25% of the water is used, how many liters are left?

• A. 7.5 liters
• B. 8 liters
• C. 6.5 liters
• D. 8.5 liters

Correct answer: A

Rationale: To find the amount of water left after 25% is used, you need to calculate 75% of the total water. 75% of 10 liters is 7.5 liters, which means that 7.5 liters of water are left. Therefore, the correct answer is A. Choice B (8 liters) is incorrect because this would be the total water remaining if 20% was used, not 25%. Choice C (6.5 liters) is incorrect as it does not account for the correct percentage of water left. Choice D (8.5 liters) is incorrect as it miscalculates the amount of water remaining after 25% is used.

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