Nursing Elites

1. Based on a favorable performance review at work, Matt receives a 3/20 increase in his hourly wage. If his original hourly wage is represented by w, which of the following represents his new wage?

• A. 0.15w
• B. 0.85w
• C. 1.12w
• D. 1.15w

Correct answer: D

Rationale: To calculate Matt's new wage after a 3/20 increase, we need to add this percentage increase to his original wage. The increase in decimal form is 3/20 = 0.15. Therefore, the new wage is w + w(0.15) = w(1 + 0.15) = 1.15w. This means the correct answer is D. Choices A, B, and C are incorrect because they do not account for the full 3/20 increase in the wage. Choice A (0.15w) represents only the increase percentage, not the total new wage. Choice B (0.85w) and Choice C (1.12w) do not accurately calculate the new wage after the increase, leading to incorrect representations of the final wage.

2. If a tree grows an average of 4.2 inches in a day, what is the rate of change in its height per month? Assume a month is 30 days.

• A. 0.14 inches per month
• B. 4.2 inches per month
• C. 34.2 inches per month
• D. 126 inches per month

Correct answer: D

Rationale: The tree grows at an average rate of 4.2 inches per day. To find the rate of change per month, multiply the daily growth rate by the number of days in a month (30 days): 4.2 inches/day × 30 days = 126 inches per month. Therefore, the rate of change in the tree's height is 126 inches per month, making option D the correct answer. Option A is incorrect because it miscalculates the rate based on daily growth. Option B is incorrect as it doesn't account for the total days in a month. Option C is incorrect as it overestimates the monthly growth rate.

3. Which of the following percentages is equivalent to 5 ¼?

• A. 525%
• B. 514%
• C. 5.25%
• D. 5.14%

Correct answer: A

Rationale: To convert a mixed number to a decimal, 5 ¼ becomes 5.25. To convert this decimal to a percentage, you multiply it by 100. Therefore, 5.25 × 100 = 525%. Choice A is correct. Choice B (514%) is incorrect as it does not match the equivalent of 5 ¼. Choice C (5.25%) is the decimal equivalent of 5 ¼, not the percentage. Choice D (5.14%) is a different value and does not represent the percentage equivalent of 5 ¼.

4. What is the value of b in this equation? 5b - 4 = 2b + 17

• A. 13
• B. 24
• C. 7
• D. 21

Correct answer: C

Rationale: To find the value of b in the equation 5b - 4 = 2b + 17, you need to first simplify the equation. By subtracting 2b from both sides of the equation and adding 4 to both sides, you get 3b = 21. Then, dividing both sides of the equation by 3 gives you b = 7. Therefore, the value of b is 7, which corresponds to option C. Choice A (13) is incorrect as it does not match the correct calculation. Choice B (24) is incorrect as it is not the result of the correct algebraic manipulation. Choice D (21) is incorrect as it is not the value of b obtained after solving the equation step by step.

5. What defines a proper fraction versus an improper fraction?

• A. Proper: numerator < denominator; Improper: numerator > denominator
• B. Proper: numerator > denominator; Improper: numerator < denominator
• C. Proper: numerator = denominator; Improper: numerator < denominator
• D. Proper: numerator < denominator; Improper: numerator = denominator

Correct answer: A

Rationale: A proper fraction is characterized by having a numerator smaller than the denominator, while an improper fraction has a numerator larger than the denominator. Therefore, choice A is correct. Choice B is incorrect because it states the opposite relationship between the numerator and denominator for proper and improper fractions. Choice C is incorrect as it describes a fraction where the numerator is equal to the denominator, which is a different concept. Choice D is incorrect as it associates a numerator being smaller than the denominator with an improper fraction, which is inaccurate.

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