Nursing Elites

1. Solve the inequality for the unknown.

• A. x > 5
• B. x < 5
• C. x >= 5
• D. x <= 5

Correct answer: A

Rationale: When solving an inequality, the direction of the inequality sign changes depending on the operation performed. In this case, if the given inequality simplifies to x > 5, it means that the unknown value x must be greater than 5 for the inequality to hold true. Therefore, x > 5 is the correct solution. Option A is correct. Choices B, C, and D are incorrect because they do not correctly represent the relationship between x and 5 based on the given inequality.

2. What is the result of the expression 102 – 7(3 – 4) – 25? Which of the following is correct?

• A. -12
• B. 2
• C. 68
• D. 82

Correct answer: D

Rationale: To simplify the expression, we follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). First, solve inside the parentheses: 3 - 4 = -1. Then, multiply -1 by 7: -1 * 7 = -7. Now, substitute these values back into the expression: 102 - (-7) - 25 = 102 + 7 - 25 = 109 - 25 = 84. Therefore, the correct answer is 84. Choices A, B, and C are incorrect as they do not represent the correct simplification of the given expression.

3. 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.

4. What is a common denominator?

• A. A shared multiple of two denominators
• B. A shared factor of two numerators
• C. A number that is the same in all fractions
• D. A number that divides evenly into both fractions

Correct answer: A

Rationale: A common denominator is a shared multiple of the denominators in a set of fractions. It is necessary when adding or subtracting fractions to have a common denominator to ensure that the fractions can be combined accurately. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect because while the common denominator is the same in all fractions being added or subtracted, it is not necessarily a number that is the same in all fractions. Choice D is incorrect because a common denominator is a multiple of the denominators, not a number that divides evenly into both fractions.

5. Which of the following is equivalent to 8 pounds and 8 ounces? (Round to the nearest tenth of a kilogram.)

• A. 3.6 kilograms
• B. 3.9 kilograms
• C. 17.6 kilograms
• D. 18.7 kilograms

Correct answer: B

Rationale: To convert 8 pounds and 8 ounces to kilograms, first convert 8 ounces to pounds by dividing by 16 (since 1 pound = 16 ounces): 8 ounces / 16 = 0.5 pounds. Then add this to the original 8 pounds: 8 pounds + 0.5 pounds = 8.5 pounds. To convert pounds to kilograms, use the conversion factor 1 pound = 0.453592 kilograms. Therefore, 8.5 pounds × 0.453592 kg = 3.855 kilograms, which rounds to 3.9 kilograms. Choice A (3.6 kilograms), Choice C (17.6 kilograms), and Choice D (18.7 kilograms) are incorrect conversions or have errors in calculation compared to the correct conversion of 3.9 kilograms.

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