Nursing Elites

1. 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.

2. Based on their prescribing habits, a set of doctors was divided into three groups: 1/4 of the doctors were placed in Group X because they always prescribed medication. 1/3 of the doctors were placed in Group Y because they never prescribed medication. 1/6 of the doctors were placed in Group Z because they sometimes prescribed medication. Order the groups from largest to smallest, according to the number of doctors in each group.

• A. Group X, Group Y, Group Z
• B. Group Z, Group Y, Group X
• C. Group Z, Group X, Group Y
• D. Group Y, Group X, Group Z

Correct answer: D

Rationale: Compare and order the groups based on the fractions provided.

3. Simplify the following expression: 1.034 + 0.275 - 1.294

• A. 0.015
• B. 0.15
• C. 1.5
• D. -0.15

Correct answer: A

Rationale: To simplify the expression, begin by adding 1.034 and 0.275, which equals 1.309. Then, subtract 1.294 from the sum: 1.309 - 1.294 = 0.015. Therefore, the correct answer is 0.015. Choice B (0.15) is incorrect as it does not reflect the accurate calculation. Choice C (1.5) is incorrect as it is not the correct result of the expression simplification. Choice D (-0.15) is incorrect as it represents a different value than the correct outcome of the expression simplification.

4. If (D) is the distance traveled and (R) is the rate of travel, which of the following represents the relationship between D and R for the equation D=2R?

• A. D is twice as much as R
• B. R is twice as much as D
• C. R is two times D
• D. D is two more than R

Correct answer: A

Rationale: The equation D=2R means that D equals 2 times R, which translates to D being twice the value of R. Therefore, choice A, 'D is twice as much as R,' is the correct representation of the relationship between D and R. Choice B, 'R is twice as much as D,' incorrectly reverses the roles of D and R. Choice C, 'R is two times D,' incorrectly states the relationship between R and D. Choice D, 'D is two more than R,' does not accurately reflect the relationship presented in the equation.

5. A circular swimming pool has a circumference of 49 feet. What is the diameter of the pool?

• A. 15.6 feet
• B. 17.8 feet
• C. 49 feet
• D. 153.9 feet

Correct answer: A

Rationale: The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Given C = 49 feet, we can rearrange the formula to solve for d: 49 feet = πd. To find the diameter, we divide both sides by π, giving us d = 49 feet / π ≈ 15.6 feet. Therefore, the diameter of the swimming pool is approximately 15.6 feet. Choices B, C, and D are incorrect because they do not align with the calculation based on the formula for the circumference of a circle.

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