Nursing Elites

1. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

• A. 125 cu cm
• B. 200 cu cm
• C. 275 cu cm
• D. 350 cu cm

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.

2. A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?

• A. Early morning to early afternoon
• B. Lunchtime to midnight
• C. Early afternoon to bedtime
• D. Midnight to sunrise

Correct answer: C

Rationale: The shift from 1300 (1:00 PM) to 2000 (8:00 PM) corresponds to early afternoon to bedtime. Therefore, the correct answer is C, as this healthcare professional works during the early afternoon to bedtime hours. Choices A, B, and D are incorrect because the work hours fall within the early afternoon to evening time frame, not early morning, lunchtime, or midnight to sunrise.

3. In a survey, 120 people were asked if they could swim. If 85% said they could, how many people could swim?

• A. 100
• B. 102
• C. 110
• D. 90

Correct answer: B

Rationale: To find the number of people who could swim, multiply the total number surveyed by the percentage who said they could swim. In this case, 85% of 120 people is calculated as 0.85 * 120, resulting in 102 people who could swim. Choice A (100) is incorrect because this does not account for the percentage that said they could swim. Choice C (110) is incorrect as it is above the total number surveyed. Choice D (90) is incorrect as it does not consider the percentage who said they could swim.

4. If a runner runs 5 miles in 45 minutes, what is their average speed in miles per hour?

• A. 6.67 mph
• B. 5 mph
• C. 7 mph
• D. 10 mph

Correct answer: A

Rationale: To find the average speed, first, convert 45 minutes to hours (45/60 = 0.75 hours). Then, divide the distance by the time: 5 miles ÷ 0.75 hours = 6.67 mph. Choice A is correct because it accurately calculates the average speed based on the distance covered and time taken. Choice B is incorrect as it does not consider the time taken to cover the distance. Choice C is incorrect as it is higher than the calculated speed. Choice D is incorrect as it is higher and does not match the calculated average speed.

5. What number is 98 175% of?

• A. 48
• B. 52
• C. 54
• D. 56

Correct answer: D

Rationale: To find the number that 98 is 175% of, we can set up the equation: x = 1.75 * x. By solving this equation, we get x = 56. Therefore, 98 is 175% of 56. Choice D, 56, is the correct answer as it represents the number that satisfies the given condition. Choices A, B, and C are incorrect as they do not result in 98 when multiplied by 1.75.

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