Nursing Elites

1. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?

• A. 12000 cubic meters
• B. 6000 cubic meters
• C. 18000 cubic meters
• D. 24000 cubic meters

Correct answer: A

Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.

2. Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?

• A. 2 peach pies
• B. 3 peach pies
• C. 1 peach pie
• D. 2 peach pies

Correct answer: A

Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.

3. How many grams are in 6 kilograms?

• A. 600 grams
• B. 6000 grams
• C. 600 grams
• D. 60,000 grams

Correct answer: B

Rationale: There are 1,000 grams in a kilogram. Therefore, to convert kilograms to grams, you need to multiply the number of kilograms by 1,000. In this case, 6 kilograms would be equal to 6 × 1,000 = 6,000 grams. Choices A, C, and D are incorrect because they do not apply the correct conversion factor from kilograms to grams.

4. A group of 8 friends went out to eat at a restaurant. They decided to split the bill evenly. If the bill totaled $120, how much did each friend pay?

• A. $15
• B. $10
• C. $12
• D. $20

Correct answer: A

Rationale: To determine how much each friend paid, divide the total bill amount by the number of friends. In this scenario, $120 ÷ 8 friends = $15. Therefore, each friend paid $15. Choice B ($10) is incorrect because dividing $120 by 8 does not yield $10. Choice C ($12) is incorrect because dividing $120 by 8 does not yield $12. Choice D ($20) is incorrect because dividing $120 by 8 does not yield $20.

5. Given 15:x=3:8, find x.

• A. x=40
• B. x=20
• C. x=30
• D. x=10

Correct answer: A

Rationale: To find x, we set up the proportion 15:x = 3:8. Cross multiply to get 15*8 = 3*x, which simplifies to 120 = 3x. Dividing by 3 on both sides gives x = 40. Therefore, x=40 is the correct answer. Choices B, C, and D are incorrect because they do not match the correct calculation. Option B results from incorrectly dividing 15 by 3 instead of multiplying it by 8. Option C comes from dividing 15 by 3, and Option D is the result of dividing 15 by 8 instead of multiplying by 3.

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