Nursing Elites

1. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?

• A. 625 cu cm
• B. 1250 cu cm
• C. 1875 cu cm
• D. 2500 cu cm

Correct answer: C

Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.

2. Divide: 727 ÷ 6 =

• A. 120 r1
• B. 120 r3
• C. 121 r1
• D. 127 r3

Correct answer: C

Rationale: When dividing 727 by 6, the quotient is 121 with a remainder of 1. The correct answer is, therefore, 121 r1. Choice A (120 r1) is incorrect as the quotient is 121, not 120. Choice B (120 r3) is also incorrect as the remainder should be 1, not 3. Choice D (127 r3) is incorrect as both the quotient and remainder are different from the correct values obtained by dividing 727 by 6.

3. A family uses 12 gallons of water every day. How many gallons do they use in a non-leap year?

• A. 4,120 gallons
• B. 4,380 gallons
• C. 3,840 gallons
• D. 4,350 gallons

Correct answer: B

Rationale: To determine the total gallons the family uses in a non-leap year, you have to multiply the daily consumption by the number of days in a non-leap year. So, 12 gallons/day x 365 days = 4,380 gallons used per year. Therefore, the correct answer is B. Choice A is incorrect as it provides an inaccurate total by not considering the total days in a year. Choice C is incorrect as it offers a lower value due to not multiplying the daily usage by the total days in a year. Choice D is incorrect as it doesn't accurately calculate the total gallons used in a non-leap year.

4. Which of the following percentages is equal to 0.45?

• A. 4.5%
• B. 0.045%
• C. 0.45%
• D. 45%

Correct answer: D

Rationale: To convert 0.45 to a percentage, you multiply by 100: 0.45 × 100 = 45%. Therefore, the correct answer is D. 45%. Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.

5. Stanton runs 2 miles twice a week and 3 miles once a week. If he runs every week, how many miles does he run in a year?

• A. 185
• B. 260
• C. 330
• D. 364

Correct answer: D

Rationale: To calculate how many miles Stanton runs in a year, we first find out how many miles he runs in a week. Running 2 miles twice a week is 2 x 2 = 4 miles, and running 3 miles once a week is an additional 3 miles. Therefore, in a week, Stanton runs a total of 4 + 3 = 7 miles. To find out how many miles he runs in a year, we multiply the weekly total by the number of weeks in a year (52): 7 miles/week x 52 weeks = 364 miles. Therefore, Stanton runs 364 miles in a year. Choice A (185) is incorrect as it does not account for the total weekly distance correctly. Choice B (260) is incorrect as it miscalculates the total miles run in a year. Choice C (330) is incorrect as it does not calculate the correct total distance covered by Stanton in a year.

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