Nursing Elites

1. A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week and is paid weekly. Weekly deductions include federal tax $102.80, state tax $24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home pay each week?

• A. $443.50
• B. $450.00
• C. $500.00
• D. $430.00

Correct answer: A

Rationale: To calculate the nurse's take-home pay, first determine the weekly gross income. The nurse works 3 shifts x 8 hours = 24 hours at $17.81 per hour plus 1 shift x 12 hours = 12 hours at $17.81 per hour, totaling 36 hours. Therefore, the gross income is 36 hours x $17.81 = $641.16. Next, subtract the weekly deductions: federal tax $102.80 + state tax $24.58 + federal insurance $18.13 + family health insurance $52.15 = $197.66. Deducting $197.66 from the gross income gives $641.16 - $197.66 = $443.50 as the nurse's take-home pay each week. Therefore, the correct answer is $443.50. Choice B ($450.00) is incorrect because it does not consider the specific deductions provided. Choices C ($500.00) and D ($430.00) are also incorrect as they do not reflect the accurate calculation based on the given information.

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 nurse is reviewing the daily intake and output (I&O) of a patient consuming a clear diet. The urinary drainage bag denotes a total of 1,000 mL for the past 24 hours. The total intake is 2 8-oz cups of coffee, 1 16-oz serving of clear soup, and 1 pint of water. How much is the deficit in milliliters?

• A. 440 mL
• B. 540 mL
• C. 660 mL
• D. 760 mL

Correct answer: A

Rationale: 2 8-oz cups of coffee = 16 oz = 16 × 30 = 480 mL. 1 16-oz serving of clear soup = 16 × 30 = 480 mL. 1 pint of water = 16 oz = 480 mL. Total intake = 480 + 480 + 480 = 1,440 mL. Deficit = 1,440 mL (intake) - 1,000 mL (output) = 440 mL. Therefore, the deficit in milliliters is 440 mL. The correct answer is A. Choice B, 540 mL, is incorrect as it miscalculates the total intake. Choice C, 660 mL, is incorrect as it does not accurately subtract the output from the intake. Choice D, 760 mL, is incorrect as it overestimates the deficit by not considering the correct total intake and output values.

4. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

• A. 2.1 feet
• B. 4 feet
• C. 3 feet
• D. 5 feet

Correct answer: A

Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

5. A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?

• A. 97.5 miles
• B. 100 miles
• C. 95 miles
• D. 105 miles

Correct answer: A

Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

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