Nursing Elites

1. Robert plans to drive 1,800 miles. His car gets 30 miles per gallon, and his tank holds 12 gallons. How many tanks of gas will he need for the trip?

• A. 4 tanks
• B. 5 tanks
• C. 6 tanks
• D. 7 tanks

Correct answer: B

Rationale: To calculate how many gallons of gas Robert needs for the 1,800-mile trip, divide the total distance by the car's mileage per gallon: 1,800 miles ÷ 30 mpg = 60 gallons. Since his tank holds 12 gallons, Robert will need 60 gallons ÷ 12 gallons per tank = 5 tanks of gas for the trip. Choice A (4 tanks), Choice C (6 tanks), and Choice D (7 tanks) are incorrect as they do not correctly calculate the number of tanks needed based on the car's mileage and tank capacity.

2. Adam is painting the outside of a 4-walled shed. The shed is 5 feet wide, 4 feet deep, and 7 feet high. Which of the following is the amount of paint Adam will need for the four walls?

• A. 80 ft²
• B. 126 ft²
• C. 140 ft²
• D. 560 ft²

Correct answer: B

Rationale: To find the amount of paint needed for the four walls of the shed, calculate the total area of the four walls. The shed has two pairs of identical walls. The area of one pair of walls is 5 feet (width) x 7 feet (height) + 4 feet (depth) x 7 feet (height) = 35 ft² + 28 ft² = 63 ft². Since there are two pairs of walls, the total area for the four walls is 2 x 63 ft² = 126 ft². Therefore, Adam will need 126 ft² of paint for the four walls. Choice A, 80 ft², is incorrect as it does not account for the total surface area of all four walls. Choice C, 140 ft², is incorrect as it overestimates the area required. Choice D, 560 ft², is incorrect as it significantly overestimates the amount of paint needed for the shed.

3. Bridget is repainting her rectangular bedroom. Two walls measure 15 feet by 9 feet, and the other two measure 12.5 feet by 9 feet. One gallon of paint covers an average of 32 square meters. Which of the following is the number of gallons of paint that Bridget will use? (There are 3.28 feet in 1 meter.)

• A. 0.72 gallons
• B. 1.43 gallons
• C. 4.72 gallons
• D. 15.5 gallons

Correct answer: B

Rationale: First, convert the dimensions to meters: 15 ft. × (1 m/3.28 ft.) = 4.57 m; 9 ft. × (1 m/3.28 ft.) = 2.74 m; 12.5 ft. × (1 m/3.28 ft.) = 3.81 m. Next, find the total area in square meters: total area = 2(4.57 m × 2.74 m) + 2(3.81 m × 2.74 m) = 45.9 m². Finally, convert the area to gallons of paint: 45.9 m² × (1 gallon/32 m²) = 1.43 gallons. Therefore, Bridget will need 1.43 gallons of paint to repaint her bedroom. Choices A, C, and D are incorrect because they do not accurately calculate the required amount of paint based on the given dimensions and the coverage area of one gallon of paint.

4. Which decimal is the smallest?

• A. 2.22
• B. 2.02
• C. 2.002
• D. 2.2

Correct answer: C

Rationale: To determine the smallest decimal, we look at the digits after the decimal point. In this case, 2.002 is the smallest because it has the least value in the thousandths place. Choice A, 2.22, has a higher value in the hundredths place making it larger. Choice B, 2.02, has a higher value in the hundredths place compared to 2.002. Choice D, 2.2, is larger than 2.002 as it has a higher value in the tenths place.

5. Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper costs $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper he may purchase?

• A. 30c + 5p ≤ 100
• B. 30c + 5p = 100
• C. 30c + 5p > 100
• D. 30c + 5p < 100

Correct answer: A

Rationale: The correct inequality is 30c + 5p ≤ 100. This represents the combinations of ink cartridges (c) and printer paper (p) that Tom may purchase, ensuring the total cost is less than or equal to $100. Choice B is incorrect because the total cost should be less than or equal to $100, not equal to. Choices C and D are also incorrect as they indicate the total cost being greater than $100, which is not the case given Tom's budget limit.

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