Nursing Elites

1. A rectangular field has an area of 1452 square feet. If the length is three times the width, what is the width of the field?

• A. 22 feet
• B. 44 feet
• C. 242 feet
• D. 1452 feet

Correct answer: A

Rationale: To find the width of the rectangular field, use the formula for the area of a rectangle: A = length × width. Given that the length is three times the width, you have A = 3w × w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet. Choice B, 44 feet, is incorrect because it represents the length, not the width. Choice C, 242 feet, is incorrect as it is not a factor of the area. Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

2. 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.

3. A man decided to buy new furniture from Futuristic Furniture for $2,600. Futuristic Furniture gave the man two choices: pay the entire amount in one payment with cash, or pay $1,000 as a down payment and $120 per month for two full years in the financing plan. If the man chooses the financing plan, how much more would he pay?

• A. $1,480 more
• B. $1,280 more
• C. $1,600 more
• D. $2,480 more

Correct answer: B

Rationale: To calculate the total cost with the financing plan, multiply $120 by 24 months to get $2,880. Adding the $1,000 down payment gives a total of $3,880. By comparing this total with the initial cost of $2,600 when paying in cash, the man would pay $1,280 more with the financing plan. Choice A, $1,480 more, is incorrect because it miscalculates the additional amount. Choice C, $1,600 more, is incorrect as it overestimates the extra cost. Choice D, $2,480 more, is incorrect as it significantly overstates the additional payment.

4. Which of the following numbers is the largest?

• A. 0.45
• B. 0.096
• C. 0.3
• D. 0.313

Correct answer: A

Rationale: Among the provided options, 0.45 is the largest number. To determine the largest number, compare the decimal values directly. 0.45 is greater than 0.313, 0.3, and 0.096. Therefore, 0.45 is the correct answer. Choice B (0.096) is the smallest as it has the lowest decimal value. Choice C (0.3) is greater than 0.096 but smaller than both 0.313 and 0.45. Choice D (0.313) is greater than 0.3 and 0.096 but smaller than 0.45, making it incorrect.

5. 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.

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