Nursing Elites

1. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

• A. 2.1 feet
• B. 4 feet
• C. 3 feet
• D. 5 feet

Correct answer: A

Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

2. The formula for calculating heart rate is HR = (220 - age) x 0.65. If a patient's heart rate is 136.5, what is their age?

• A. 30
• B. 40
• C. 50
• D. 60

Correct answer: C

Rationale: Rationale: Given formula: HR = (220 - age) * 0.65 Given heart rate: HR = 136.5 Substitute the given heart rate into the formula: 136.5 = (220 - age) * 0.65 Solve for age: 136.5 = 143 - 0.65age 0.65age = 143 - 136.5 0.65age = 6.5 age = 6.5 / 0.65 age = 10 Therefore, the patient's age is 50 (option C).

3. What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?

• A. 60 cu cm
• B. 120 cu cm
• C. 150 cu cm
• D. 180 cu cm

Correct answer: C

Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.

4. A recent census of visitors to a popular beach showed that there was a ratio of 6:16 surfers to swimmers. Which of the following is a possible actual number of surfers and swimmers at the beach?

• A. 62:45
• B. 72:210
• C. 125:00
• D. 219:20

Correct answer: B

Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.

5. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7

• A. 3/7
• B. 3/6
• C. 3/9
• D. 3/8

Correct answer: A

Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.

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