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. What is three tenths of 90?

• A. 18
• B. 45
• C. 27
• D. 36

Correct answer: C

Rationale: To find three tenths of 90, you need to multiply 90 by 0.3 (since three tenths equals 0.3). Therefore, 90 * 0.3 = 27. This calculation shows that the correct answer is 27. Choice A (18), choice B (45), and choice D (36) are incorrect as they do not represent three tenths of 90.

3. If a parent changes their baby 6 times a day, how many diapers will be needed in a year?

• A. 2190 diapers
• B. 2100 diapers
• C. 2160 diapers
• D. 2140 diapers

Correct answer: A

Rationale: To calculate the number of diapers needed in a year with 6 diaper changes per day, multiply the daily diaper changes (6) by the days in a year (365): 6 x 365 = 2190 diapers required. This calculation ensures an ample supply of diapers for maintaining the infant's hygiene and comfort. The other choices are incorrect because they do not accurately account for the number of diaper changes per day multiplied by the days in a year. Choice B (2100 diapers) is too low, while choices C (2160 diapers) and D (2140 diapers) are too high based on the calculation. Understanding the frequency and quantity of diaper changes is crucial for supporting the infant's health and well-being. Therefore, the correct answer is 2190 diapers.

4. How many kilograms are in 4,000 grams?

• A. 4 kilograms
• B. 5 kilograms
• C. 1 kilogram
• D. 2 kilograms

Correct answer: A

Rationale: To convert grams to kilograms, divide by 1,000 because there are 1,000 grams in a kilogram. Therefore, 4,000 grams ÷ 1,000 = 4 kilograms. Choice A is correct as it represents the correct conversion. Choice B, 5 kilograms, is incorrect because it is not the result of dividing 4,000 grams by 1,000. Choice C, 1 kilogram, is incorrect because 4,000 grams is more than 1 kilogram. Choice D, 2 kilograms, is incorrect as it is not the correct conversion from grams to kilograms.

5. Find x if 40:5 = 60:x.

• A. 12
• B. 7
• C. 1
• D. 8

Correct answer: B

Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.

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