Nursing Elites

1. If 3 nurses can care for 15 patients, how many nurses are needed for 25 patients?

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: B

Rationale: To determine how many nurses are needed for 25 patients, set up a proportion: 3 nurses / 15 patients = x nurses / 25 patients. Cross multiply to solve for x: 3 * 25 = 15 * x. This simplifies to 75 = 15x. Divide both sides by 15 to find x = 5. Therefore, 5 nurses are needed for 25 patients. Choices A, C, and D are incorrect as they do not correspond to the correct calculation based on the given proportion.

2. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

• A. -3
• B. 0
• C. 33
• D. 15

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

3. A worker ships 25 boxes each day. Each box contains 3 shipping labels. The inventory has 500 shipping labels. How many days will it take to use the inventory of shipping labels? Round to the nearest whole.

• A. 7 days
• B. 8 days
• C. 20 days
• D. 6 days

Correct answer: A

Rationale: To find out how many days it will take to use the 500 shipping labels, multiply the number of labels used per day (25 boxes * 3 labels/box = 75 labels) by the total number of days the inventory will last (500 labels ÷ 75 labels/day = 6.67 days). Rounded to the nearest whole number, it will take 7 days to use the inventory of shipping labels. Choice B (8 days) is incorrect because the calculation yields 6.67 days, which rounds down to 6 days, making it an incorrect answer. Choice C (20 days) and Choice D (6 days) are also incorrect as they are not the nearest whole number to the correct answer of 7 days.

4. Multiply: 6 × 0.06 =

• A. 0.0036
• B. 0.036
• C. 0.36
• D. 3.6

Correct answer: C

Rationale: When multiplying 6 by 0.06, you can treat 0.06 as 6 hundredths. So, 6 × 0.06 is equivalent to 6 × 6 hundredths, which equals 0.36. The correct answer is 0.36. Choice A (0.0036) is incorrect because it represents 6 multiplied by 0.0006, not 0.06. Choice B (0.036) is incorrect as it represents 6 multiplied by 0.06 without considering the position of the decimal point. Choice D (3.6) is incorrect as it represents 6 multiplied by 6, not by 0.06.

5. What is the result of adding 9.43 and 11.3?

• A. 20.73
• B. 21.3
• C. 22
• D. 19.5

Correct answer: A

Rationale: The correct answer is A: 20.73. To calculate the sum of 9.43 and 11.3, you simply add the two numbers together. Therefore, 9.43 + 11.3 equals 20.73. Choice B (21.3) is incorrect because it represents the sum of rounding the numbers up. Choice C (22) and choice D (19.5) are also incorrect as they do not accurately reflect the sum of the provided numbers.

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