Nursing Elites

1. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?

• A. 785 sq cm
• B. 1130 sq cm
• C. 1570 sq cm
• D. 2055 sq cm

Correct answer: D

Rationale: To find the total surface area, we need to calculate the surface area of the cylindrical body and both hemispherical ends separately. The surface area of the cylinder is the sum of the lateral surface area (2πrh) and the area of the two circular bases (2πr^2). For the hemispheres, the surface area of one hemisphere is (2πr^2), so for two hemispheres, it would be (4πr^2). Given that the diameter of the cylinder and hemispherical ends is 10cm, the radius (r) is 5cm. Calculating the individual surface areas: Cylinder = 2π(5)(20) + 2π(5)^2 = 200π + 50π = 250π. Hemispheres = 4π(5)^2 = 100π. Adding these together gives a total surface area of 250π + 100π = 350π cm^2, which is approximately equal to 2055 sq cm. Therefore, the correct answer is D. Choice A (785 sq cm) is incorrect as it is significantly lower than the correct calculation. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not reflect the accurate surface area calculation for the given dimensions.

2. Multiply: 32 × 5 and express the result in decimal form.

• A. 0.0016
• B. 0.016
• C. 0.16
• D. 1.6

Correct answer: D

Rationale: To find the product of 32 and 5, you simply multiply the two numbers: 32 × 5 = 160. Therefore, when expressed in decimal form, the answer is 1.6. Choices A, B, and C are incorrect as they do not represent the correct multiplication result in decimal form. Choice A is way too small, choice B is also too small, and choice C is close but still not the correct result.

3. What is the result of subtracting 10.012 from 0.120?

• A. 10
• B. 9.892
• C. 10.122
• D. 9.012

Correct answer: B

Rationale: To find the result of subtracting 10.012 from 0.120, you need to subtract the two numbers: 0.120 - 10.012 = -9.892. The correct answer is B, 9.892. Choices A, C, and D are incorrect because they do not reflect the correct subtraction operation and result.

4. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?

• A. 12.8
• B. 23
• C. 25.6
• D. 57.5

Correct answer: C

Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.

5. Which of the following is equivalent to 0.0009?

• A. 0.09%
• B. 9%
• C. 0.01%
• D. 0.90%

Correct answer: A

Rationale: The correct answer is A: 0.09%. To convert 0.0009 to a percentage, move the decimal point four places to the right and add a percentage sign. Therefore, 0.0009 is equal to 0.09%. Choice B (9%) is incorrect as it represents 0.09 without the decimal point adjustment. Choice C (0.01%) is incorrect as it represents 0.0009 with one less zero. Choice D (0.90%) is incorrect as it represents 0.9 not 0.0009.

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