Nursing Elites

1. If 3 nurses can care for 15 patients, how many nurses are needed for 25 patients?

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: B

Rationale: To determine how many nurses are needed for 25 patients, set up a proportion: 3 nurses / 15 patients = x nurses / 25 patients. Cross multiply to solve for x: 3 * 25 = 15 * x. This simplifies to 75 = 15x. Divide both sides by 15 to find x = 5. Therefore, 5 nurses are needed for 25 patients. Choices A, C, and D are incorrect as they do not correspond to the correct calculation based on the given proportion.

2. What is 60% of 150?

• A. 80
• B. 90
• C. 120
• D. 80

Correct answer: B

Rationale: To find 60% of 150, you multiply 0.6 by 150, which equals 90. Therefore, the correct answer is 90. Choice A (80) is incorrect because it does not represent 60% of 150. Choice C (120) is incorrect as it exceeds 100% of 150. Choice D (80) is a duplicate of choice A and does not accurately represent 60% of 150.

3. Express 0.75 as a fraction.

• A. 4/5
• B. 3/4
• C. 1/2
• D. 1/4

Correct answer: B

Rationale: To express 0.75 as a fraction, we write it as 75/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives us 3/4. Therefore, 0.75 is equivalent to 3/4. Choice A (4/5), Choice C (1/2), and Choice D (1/4) are incorrect fractions and do not represent 0.75.

4. A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?

• A. 3142 sq cm
• B. 4712 sq cm
• C. 5486 sq cm
• D. 7957 sq cm

Correct answer: C

Rationale: To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately. For the sphere: - Radius = Diameter / 2 = 50 / 2 = 25 cm - Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm² For the cylinder: - Radius = Diameter / 2 = 30 / 2 = 15 cm - Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm² Total surface area = Surface area of sphere + Surface area of cylinder = 500π + 690π = 1190π cm² ≈ 5486 sq cm. Therefore, the correct answer is C. Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.

5. If a person wants to plant 65,536 trees so that the number of rows equals the number of trees in each row, how many trees should they plant in each row?

• A. 1684
• B. 1268
• C. 668
• D. 256

Correct answer: D

Rationale: To plant 65,536 trees with the same number of rows and trees in each row, you need to calculate the square root of 65,536. The square root of 65,536 is 256. Therefore, planting 256 trees in each row would result in 256 rows with 256 trees in each row, totaling 65,536 trees. Choices A, B, and C are incorrect as they do not provide the correct calculation based on the requirements of the question.

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