Nursing Elites

1. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance?

• A. 45 miles
• B. 54 miles
• C. 112 miles
• D. 144 miles

Correct answer: D

Rationale: To find the actual distance represented by 3.2 inches on the map, we use the scale of 1 inch representing 45 miles. Setting up the proportion 1 inch = 45 miles, we can calculate the actual distance by multiplying 3.2 inches by 45 miles, which equals 144 miles. Therefore, the correct answer is 144 miles. Choice A (45 miles) is incorrect as it represents the distance for 1 inch on the map, not for 3.2 inches. Choices B (54 miles) and C (112 miles) are incorrect calculations based on a misinterpretation of the scale.

2. On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 50 cm². What is the actual area of the room?

• A. 500 m²
• B. 50 m²
• C. 5000 cm²
• D. 500 cm²

Correct answer: D

Rationale: The scale of 1:100 means that 1 cm² on the floor plan represents 100 cm² in real life. To find the actual area of the room, you need to multiply the area on the floor plan by the square of the scale factor. Since the scale is 1:100, the scale factor is 100. Therefore, 50 cm² on the floor plan represents 50 * 100 = 5000 cm² in real life. Choice A (500 m²) is incorrect as it converts the area from cm² to m² without considering the scale factor. Choice B (50 m²) is incorrect as it does not account for the scale factor. Choice C (5000 cm²) is incorrect as it gives the area on the floor plan, not the actual area.

3. Melissa is ordering fencing to enclose a square area of 5625 square feet. How many feet of fencing does she need?

• A. 75 feet
• B. 150 feet
• C. 300 feet
• D. 5,625 feet

Correct answer: C

Rationale: To find the side length of the square, we take the square root of the area: √5625 ft² = 75 ft. The perimeter of a square is 4 times its side length, so the fencing needed is 4 × 75 ft = 300 ft. Therefore, Melissa needs 300 feet of fencing to enclose the square area of 5625 square feet. Option A (75 feet) is the side length of the square, not the fencing needed. Option B (150 feet) is half of the correct answer and does not account for all sides of the square. Option D (5,625 feet) is the total area, not the length of fencing required.

4. How many centimeters in an inch? How many inches in a centimeter?

• A. 2.54 centimeters in an inch; 0.393 inches in a centimeter
• B. 1 centimeter in an inch; 1 inch in a centimeter
• C. 1.5 centimeters in an inch; 1.5 inches in a centimeter
• D. 2 centimeters in an inch; 0.5 inches in a centimeter

Correct answer: A

Rationale: The correct conversion is: 1 inch = 2.54 centimeters and 1 centimeter = 0.393 inches. Therefore, option A is correct. Option B is incorrect as the conversion is incorrect. Option C is incorrect as it does not match the correct conversion values. Option D is incorrect as the conversion values provided are inaccurate.

5. A car dealership’s commercials claim that this year’s models are 20% off the list price, plus they will pay the first 3 monthly payments. If a car is listed for $26,580, and the monthly payments are set at $250, what is the total potential savings?

• A. $1,282
• B. $5,566
• C. $6,066
• D. $20,514

Correct answer: C

Rationale: To calculate the total potential savings: First, find the 20% discount on the list price of $26,580: 0.20 × $26,580 = $5,316. Then, determine the savings over the first 3 months of payments: 3 months × $250/month = $750. Add the discount and the monthly payment savings to get the total potential savings: $5,316 + $750 = $6,066. Therefore, the correct answer is $6,066. Choice A, $1,282, is incorrect because it does not account for the total savings from both the discount and the monthly payments. Choice B, $5,566, is incorrect as it miscalculates the total savings by excluding the savings from the monthly payments. Choice D, $20,514, is incorrect as it does not consider the discount and only focuses on the list price.

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