Nursing Elites

1. What is the surface area of the cylinder shown below?

• A. 602.9 cm²
• B. 904.3 cm²
• C. 1,408.7 cm²
• D. 1,507.2 cm²

Correct answer: D

Rationale: The surface area of a cylinder can be calculated using the formula: S = 2πr² + 2πrh, where r is the radius and h is the height. Substituting the values for radius (12) and height (8) into the formula: S = 2π(12)² + 2π(12)(8). S = 2π(144) + 2π(96). S = 288π + 192π. S = 480π ≈ 1507.964. Therefore, the surface area of the cylinder is approximately 1507.2 square centimeters. Choice A, 602.9 cm², is incorrect as it is significantly lower than the correct value. Choice B, 904.3 cm², is also incorrect as it does not match the calculated surface area. Choice C, 1,408.7 cm², is incorrect as it does not align with the calculated value of the surface area.

2. Which of the following relationships represents no correlation between two variables?

• A. As a student’s class attendance decreases, the student’s overall grade remains the same
• B. As the number of hours a person exercises decreases, the weight of that person increases
• C. As the number of miles driven increases, the amount of gasoline in the tank decreases
• D. As the amount of water a plant receives increases, the growth rate of the plant increases

Correct answer: A

Rationale: Choice A represents no correlation between two variables as it states that as a student’s class attendance decreases, the student’s overall grade remains the same. This scenario shows no relationship between class attendance and grade. In contrast, choices B, C, and D show clear correlations between the variables mentioned. Choice B indicates a negative correlation between exercise hours and weight gain, choice C indicates a negative correlation between miles driven and gasoline in the tank, and choice D indicates a positive correlation between water intake and plant growth rate, making them all examples of correlated relationships.

3. How many millimeters are in a meter?

• A. 100 mm
• B. 1,000 mm
• C. 10,000 mm
• D. 100,000 mm

Correct answer: B

Rationale: The correct answer is B: 1,000 mm. This is because there are 1,000 millimeters in a meter. To convert from meters to millimeters, you need to multiply by 1,000. Choices A, C, and D are incorrect. A meter is equivalent to 1,000 millimeters, not 100 (A), 10,000 (C), or 100,000 (D) millimeters.

4. A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hours by herself and person B is able to mow the lawn in 3 hours by himself, what is the amount of time it would take for both person A and B to mow the lawn together?

• A. 5 hours
• B. 2.5 hours
• C. 1.2 hours
• D. 1 hour

Correct answer: C

Rationale: To find the combined work rate, you add the individual work rates: 1/2 + 1/3 = 5/6. This means that together, they can mow 5/6 of the lawn per hour. To determine how long it would take for both A and B to mow the entire lawn, you take the reciprocal of 5/6, which gives you 6/5 or 1.2 hours. Therefore, it would take 1.2 hours for person A and person B to mow the lawn together. Choice A (5 hours) is incorrect because it does not consider the combined efficiency of both workers. Choice B (2.5 hours) is incorrect as it does not reflect the correct calculation based on the combined work rates of the two individuals. Choice D (1 hour) is incorrect as it doesn't consider the fact that the combined rate is less than the individual rate of person A alone, thus taking longer than 1 hour.

5. Veronica has to create the holiday schedule for the neonatal unit at her hospital. 35% of her staff will be unavailable during the holidays, and of the remaining staff, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work?

• A. 7%
• B. 13%
• C. 65%
• D. 80%

Correct answer: B

Rationale: The correct answer is 13%. To find the percentage of the total staff that is certified and available to work, we first calculate the percentage of staff available, which is 100% - 35% = 65%. Then, we find the percentage of the available staff that is certified, which is 20% of 65% = 0.20 × 0.65 = 0.13, or 13%.

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