Nursing Elites

1. What is the result of dividing 5 3/4 by 1/2?

• A. 11 & 1/2
• B. 2 & 3/8
• C. 3 & 1/8
• D. 18

Correct answer: A

Rationale: When dividing fractions, you multiply by the reciprocal of the divisor. To divide 5 3/4 by 1/2, you multiply 5 3/4 by 2/1 (reciprocal of 1/2) to get 23/4 * 2/1 = 46/4 = 11 1/2. Therefore, the correct answer is A. Choice B (2 & 3/8) is incorrect as it does not result from dividing 5 3/4 by 1/2. Choice C (3 & 1/8) is incorrect as well. Choice D (18) is not the correct result of the division performed.

2. Solve for x: x/5 = 3/10.

• A. x = 0.6
• B. x = 0.6
• C. x = 0.9
• D. x = 1.5

Correct answer: D

Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 × 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.

3. How many pounds are in 144 ounces?

• A. 12 pounds
• B. 10 pounds
• C. 8 pounds
• D. 9 pounds

Correct answer: D

Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find out how many pounds are in 144 ounces, you divide 144 by 16, which equals 9 pounds. Choice A, 12 pounds, is incorrect because it does not correctly divide the number of ounces by the conversion factor. Choices B and C, 10 pounds and 8 pounds respectively, are also incorrect as they do not utilize the correct conversion factor to calculate the number of pounds in 144 ounces.

4. 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.

5. Subtract 2 & 5/8 - 7/8 and reduce.

• A. 1 & 5/8
• B. 1 & 6/8
• C. 1 & 3/4
• D. 1 & ¼

Correct answer: C

Rationale: To subtract 7/8 from 2 & 5/8, you need to borrow 1 whole from the 2, making it 1 whole and 13/8. Then, subtracting 7/8 from 13/8 results in 6/8, which simplifies to 3/4. Therefore, the answer is 1 & 3/4. Choice A (1 & 5/8) is incorrect as the correct answer is 1 & 3/4. Choice B (1 & 6/8) can be simplified to 1 & 3/4, which is the correct answer. Choice D (1 & ¼) is incorrect as the subtraction result is greater than 1, making the whole number part 1.

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