Nursing Elites

1. University X requires some of its nursing students to take an exam before being admitted into the nursing program. In this year's class, the nursing students were required to take the exam, and all of those who took the exam passed. If this year's class has 200 students, how many students passed the exam?

• A. 120
• B. 100
• C. 60
• D. 50

Correct answer: B

Rationale: Since all nursing students who took the exam passed, it means 100% of the students who took the exam passed. As the total number of students in this year's class is 200, the number of students who passed the exam would be 100% of 200, equaling 200 * 100% = 200. Therefore, 200 students passed the exam.

2. 4 − 1/(22) + 24 ÷ (8 + 12). Simplify the expression. Which of the following is correct?

• A. 1.39
• B. 2.74
• C. 4.95
• D. 15.28

Correct answer: C

Rationale: First, complete the operations in parentheses: 4 − (1/22) + 24 ÷ 20. Next, simplify the exponents: 4 − (1/22) + 24 ÷ 20 = 4 − (1/4) + 24 ÷ 20. Then, complete multiplication and division operations: 4 − (1/4) + 24 ÷ 20 = 4 − 0.25 + 1.2. Finally, complete addition and subtraction operations: 4 − 0.25 + 1.2 = 4.95. Choice A, 1.39, is incorrect as it does not match the correct calculation. Choice B, 2.74, is incorrect as it is not the result of the given expression. Choice D, 15.28, is incorrect as it is not the correct simplification of the initial expression.

3. 4.67 miles is equivalent to how many kilometers to three significant digits?

• A. 7.514 km
• B. 7.51 km
• C. 2.90 km
• D. 2.902 km

Correct answer: B

Rationale: To convert miles to kilometers, we use the conversion factor of 1 mile ≈ 1.60934 km. Therefore, 4.67 miles * 1.60934 km/mile = 7.514 km. When rounded to three significant digits, the answer is 7.51 km. Choice A of 7.514 km is the correct conversion, but the question asked for the answer to be rounded to three significant digits, making choice B, 7.51 km, the most precise and correct option. Choices C and D are incorrect conversions and do not match the correct conversion of 4.67 miles to kilometers.

4. x ÷ 7 = x − 36. Solve the equation. Which of the following is correct?

• A. x = 6
• B. x = 42
• C. x = 4
• D. x = 252

Correct answer: B

Rationale: To solve the equation x ÷ 7 = x − 36, start by multiplying both sides by 7 to get 7(x ÷ 7) = 7(x − 36), which simplifies to x = 7x − 252. Next, subtract 7x from both sides to get -6x = -252. Finally, divide both sides by -6 to solve for x, which results in x = 42. Therefore, the correct answer is x = 42. Choice A (x = 6), Choice C (x = 4), and Choice D (x = 252) are incorrect as they do not align with the correct solution derived from the equation.

5. Within a nursing program, 25% of the class wanted to work with infants, 60% wanted to work with the elderly, 10% wanted to assist general practitioners, and the rest were undecided. What fraction of the class wanted to work with the elderly?

• A. 1/4
• B. 1/10
• C. 3/5
• D. 1/20

Correct answer: C

Rationale: To find the fraction of the class wanting to work with the elderly, we convert the percentage to a fraction. 60% can be written as 60/100, which simplifies to 3/5. Therefore, 3/5 of the class wanted to work with the elderly. Choice A (1/4), choice B (1/10), and choice D (1/20) do not represent the fraction of the class wanting to work with the elderly, making them incorrect.

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