Nursing Elites

1. You measure the width of your door to be 36 inches. The true width of the door is 75 inches. What is the relative error in your measurement?

• A. 0.52%
• B. 0.01%
• C. 0.99%
• D. 0.10%

Correct answer: A

Rationale: The relative error is calculated using the formula: (|Measured Value - True Value| / True Value) * 100%. Substituting the values given, we have (|36 - 75| / 75) * 100% = (39 / 75) * 100% ≈ 0.52 * 100% = 0.52%. Therefore, the relative error in measurement is approximately 0.52%. Choice A is correct because it reflects this calculation. Choice B is incorrect as it represents a lower relative error than the actual value obtained. Choice C is incorrect as it overestimates the relative error. Choice D is incorrect as it underestimates the relative error.

2. A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?

• A. 3:20
• B. 4:17
• C. 3:02
• D. 7:40

Correct answer: B

Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17. Therefore, the correct ratio is 4:17. Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.

3. There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. What is the number of students enrolled in the respiratory care program?

• A. 336
• B. 152
• C. 144
• D. 168

Correct answer: B

Rationale: To find the number of students enrolled in the respiratory care program, you need to calculate 19% of 800. 19% of 800 is (19/100) * 800 = 152 students. Therefore, the correct answer is B. Choice A (336), Choice C (144), and Choice D (168) are incorrect as they do not represent the correct percentage of students enrolled in the respiratory care program as indicated by the pie chart.

4. Approximately by what percentage are there more female staff members in City Y compared to City X?

• A. 5%
• B. 10%
• C. 15%
• D. 20%

Correct answer: D

Rationale: To find the percentage difference in female staff members between City Y and City X, you subtract the percentage of female staff members in City X from the percentage in City Y. So, 60% (City Y) - 40% (City X) = 20%. This means there are 20% more female staff members in City Y compared to City X. Choices A, B, and C are incorrect percentages and do not accurately represent the 20% difference between the two cities.

5. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)

• A. 16.7 feet
• B. 16.0 feet
• C. 17.4 feet
• D. 8.4 feet

Correct answer: A

Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.

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