Nursing Elites

1. 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.

2. Which number is the highest among 0.077, 0.777, 0.08, and 0.87?

• A. 0.077
• B. 0.777
• C. 0.08
• D. 0.87

Correct answer: D

Rationale: To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.

3. How many liters are in 120 milliliters?

• A. 1.2 liters
• B. 12 liters
• C. 1,200 liters
• D. 0.12 liters

Correct answer: D

Rationale: To convert milliliters to liters, divide the milliliters by 1000 since there are 1000 milliliters in a liter. In this case, 120 milliliters divided by 1000 equals 0.12 liters. Therefore, the correct answer is 0.12 liters. Choice A (1.2 liters) is incorrect as it incorrectly moved the decimal point. Choice B (12 liters) is incorrect as it incorrectly multiplied by 10 instead of dividing by 1000. Choice C (1,200 liters) is incorrect as it added an extra zero, resulting in a much larger value.

4. A car travels 60 miles per hour for 2.5 hours. How far does the car travel?

• A. 120 miles
• B. 150 miles
• C. 180 miles
• D. 170 miles

Correct answer: A

Rationale: To find the total distance traveled, multiply the speed of the car (60 miles per hour) by the time it traveled (2.5 hours): 60 miles/hour * 2.5 hours = 150 miles. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly calculate the total distance traveled by the car.

5. Convert 3/4 to a decimal.

• A. 0.75
• B. 0.5
• C. 0.65
• D. 0.85

Correct answer: A

Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 3 divided by 4 is equal to 0.75. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the equivalent decimal value of 3/4. 0.5 is the decimal equivalent of 1/2, 0.65 is the decimal equivalent of 13/20, and 0.85 is the decimal equivalent of 17/20.

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