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. At the bake sale, Josie bought 3 brownies for $35 each. She paid with a $5 bill. What change did she receive?

• A. $0.85
• B. $0.95
• C. $1.05
• D. $1.15

Correct answer: B

Rationale: Josie bought 3 brownies for $35 each, totaling $3 x $35 = $105. She paid with a $5 bill, so the change she received would be $105 - $5 = $100. Therefore, Josie received $100 in change, which is equivalent to $0.95. Choice A, $0.85, is incorrect because the change is $100, not $0.85. Choice C, $1.05, is incorrect as it is not the correct change for the transaction. Choice D, $1.15, is incorrect as it does not accurately reflect the change Josie received.

3. If a helicopter flies at about 80 mph, how long will it take to travel 140 miles?

• A. 1 hour 15 minutes
• B. 1 hour 20 minutes
• C. 1 hour 30 minutes
• D. 1 hour 45 minutes

Correct answer: D

Rationale: To calculate the time it takes to travel a certain distance, we can use the formula Time = Distance / Speed. In this case, the helicopter is flying at 80 mph and needs to travel 140 miles. Therefore, Time = 140 miles / 80 mph = 1.75 hours or 1 hour and 45 minutes. So, the correct answer is D. 1 hour 45 minutes. Choices A, B, and C are incorrect as they do not represent the accurate time it takes for the helicopter to cover the 140-mile distance at 80 mph.

4. 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.

5. Solve for x: 5x + 10 = 20.

• A. 4
• B. 2
• C. 5
• D. 7

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

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