Nursing Elites

1. At a car dealership, employees earn a monthly base salary of $2,000 plus 3% commission on total sales. If an employee makes $5,000 in sales, what will their total monthly earnings be?

• A. $2,500
• B. $2,150
• C. $2,100
• D. $2,300

Correct answer: A

Rationale: To calculate the total monthly earnings, we first find the commission earned on $5,000 sales, which is 3% of $5,000 = $150. Adding this commission to the $2,000 base salary gives a total of $2,000 + $150 = $2,150. Therefore, the correct total monthly earnings are $2,500. Choice B ($2,150) is incorrect because it only includes the base salary and the commission but miscalculates the total. Choices C ($2,100) and D ($2,300) are also incorrect as they do not account for the correct calculation of the commission on sales.

2. Simplify the following expression: 3 (1/6) - 1 (5/6)

• A. 2 (1/3)
• B. 1 (1/3)
• C. 2 (1/9)
• D. 5/6

Correct answer: B

Rationale: To simplify: First, subtract the whole numbers: 3 - 1 = 2. Then, subtract the fractions: (1/6) - (5/6) = - (4/6) = - (2/3). Now, subtract (2 - 2/3) = 1 (1/3).

3. To begin making her soup, Jennifer added four containers of chicken broth with 1 liter of water into the pot. Each container of chicken broth contains 410 milliliters. How much liquid is in the pot?

• A. 1.64 liters
• B. 2.64 liters
• C. 5.44 liters
• D. 6.12 liters

Correct answer: B

Rationale: Each container of chicken broth contains 410 milliliters. Jennifer added four containers, which totals 4 * 410 = 1640 milliliters of chicken broth. She then added 1 liter of water, equivalent to 1000 milliliters. Combining all the liquids, we get 1640 + 1000 = 2640 milliliters, which equals 2.64 liters. Choice A is incorrect because it miscalculates the total liquid volume. Choice C is incorrect as it greatly overestimates the liquid amount. Choice D is incorrect as it also overestimates the liquid content in the pot.

4. Your measurement of the width of a door is 36 inches. The actual width of the door is 35.75 inches. What is the relative error in your measurement?

• A. 0.70%
• B. 0.01%
• C. 0.99%
• D. 0.10%

Correct answer: A

Rationale: To calculate relative error, you use the formula: (|measured value - actual value| / actual value) * 100%. Substituting the values, we get (|36 - 35.75| / 35.75) * 100% = (0.25 / 35.75) * 100% = 0.7%. This means your measurement is off by 0.7% from the actual width of the door. Choice B, 0.01%, is too small as it doesn't reflect the actual difference. Choices C and D are significantly different from the calculated answer and do not represent the accurate relative error in the measurement.

5. On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm². What is the actual area of the room?

• A. 30,000 cm²
• B. 300 m²
• C. 3,000 m²
• D. 30 m²

Correct answer: D

Rationale: On a 1:100 scale drawing, each centimeter represents one meter. The area of the room in the scale drawing is 30 cm², which means the actual area is 30 m². Choice A (30,000 cm²) is incorrect as it doesn't account for the scale conversion. Choice B (300 m²) is incorrect because it multiplies the scale area directly by 10,000, which is not the correct conversion. Choice C (3,000 m²) is also incorrect as it applies the scale factor incorrectly.

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