Nursing Elites

1. University Q has an extremely competitive nursing program. Historically, 3/4 of the students in each incoming class major in nursing, but only 1/5 of those who major in nursing complete the program. If this year’s incoming class has 100 students, how many will complete the nursing program?

• A. 75
• B. 20
• C. 15
• D. 5

Correct answer: C

Rationale: Out of the 100 students, 3/4 major in nursing, which equals 75 students. However, only 1/5 of these 75 students will complete the program. Calculating 1/5 of 75 gives us 15 students who will complete the nursing program. Therefore, the correct answer is 15. Choice A (75) is incorrect as it represents the total number of students majoring in nursing, not completing the program. Choices B (20) and D (5) are incorrect calculations and do not align with the information provided in the question.

2. Solve the following: 4 x 7 + (25 – 21)²

• A. 512
• B. 36
• C. 44
• D. 22

Correct answer: B

Rationale: First, solve the expression inside the parentheses: 25 − 21 = 4 25−21=4 Then, square the result from the parentheses: 4 2 = 16 4 2 =16 Perform the multiplication: 4 × 7 = 28 4×7=28 Finally, add the results: 28 + 16 = 44 28+16=44

3. A book has a width of 2.5 decimeters. What is the width of the book in centimeters?

• A. 0.25 centimeters
• B. 25 centimeters
• C. 250 centimeters
• D. 0.025 centimeters

Correct answer: B

Rationale: To convert decimeters to centimeters, we use the conversion factor that 1 decimeter is equal to 10 centimeters. Setting up the proportion: 1/0.1 = x/2.5. Solving for x gives 2.5 = 0.1x, x = 25. Therefore, the width of the book in centimeters is 25. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters. A and D have decimal placement errors, and C has an incorrect magnitude of centimeters.

4. A patient is prescribed 5 mg of medication per kilogram of body weight. If the patient weighs 60 kg, how many milligrams of medication should the patient receive?

• A. 100 mg
• B. 150 mg
• C. 300 mg
• D. 400 mg

Correct answer: C

Rationale: The correct calculation to determine the medication dosage for a patient weighing 60 kg is: 5 mg/kg x 60 kg = 300 mg. Therefore, the patient should receive 300 mg of medication. Choice A (100 mg) is incorrect as it does not account for the patient's weight. Choice B (150 mg) is incorrect as it miscalculates the dosage. Choice D (400 mg) is incorrect as it overestimates the dosage based on the patient's weight.

5. What is the result when the number 1 is raised to ANY power?

• A. One
• B. Itself
• C. Zero
• D. Two

Correct answer: A

Rationale: The correct answer is A: 'One.' When the number 1 is raised to any power, the result is always 1. This is a fundamental mathematical property where any number raised to the power of 0 equals 1. Choices B, C, and D are incorrect. Choice B 'Itself' is vague and does not provide a clear mathematical result. Choice C 'Zero' is incorrect as 1 raised to any power is not zero. Choice D 'Two' is incorrect as the result of raising 1 to any power is always 1, not 2.

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