Nursing Elites

1. 81:X::9:27. Find X.

• A. 3
• B. 27
• C. 21
• D. 9

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

2. A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 5 inches, what is the actual length of the built living room?

• A. 45 feet
• B. 25 feet
• C. 15 feet
• D. 12 feet

Correct answer: C

Rationale: Since the scale of the plan is 1:40, this means that 1 inch on the plan represents 40 inches in reality. Therefore, the actual length of the living room can be calculated as 5 inches on the plan multiplied by the scale factor of 40, which equals 200 inches. Converting 200 inches to feet gives us 15 feet as the actual length of the built living room. Choice A (45 feet) is incorrect because it miscalculates the conversion from inches to feet. Choice B (25 feet) is incorrect as it does not consider the scale factor provided. Choice D (12 feet) is incorrect as it does not apply the correct scale factor to convert the plan's measurements to reality.

3. A gross is equal to 12 dozen. If Lanyard Farms sells 15 gross of eggs a week and packages them in one dozen egg containers, how many containers do they need for a week’s worth of eggs?

• A. 15
• B. 150
• C. 180
• D. 2,160

Correct answer: C

Rationale: Given that a gross is equal to 12 dozen, 15 gross of eggs would be equal to 15 * 12 = 180 dozen eggs. Since the eggs are packaged in one dozen egg containers, Lanyard Farms would need 180 containers for a week's worth of eggs. Choice A (15) is incorrect as it represents the number of gross, not containers. Choice B (150) is incorrect as it miscalculates the total number of containers needed. Choice D (2,160) is incorrect as it overestimates the number of containers required.

4. Express the ratio of 6:7 as a percentage.

• A. 67%
• B. 76%
• C. 86%
• D. 93%

Correct answer: A

Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.

5. Convert this military time to regular time: 1010 hours.

• A. 10:10 A.M.
• B. 10:10 P.M.
• C. 1:01 A.M.
• D. 1:01 P.M.

Correct answer: A

Rationale: To convert military time to regular time, we can drop the first two digits if they are less than 12. 1010 hours can be converted to 10:10 A.M. because it is before noon (12:00 P.M.). Military time operates on a 24-hour clock system, with 0000 hours indicating midnight and 1200 hours representing noon. Therefore, in this case, 1010 corresponds to 10:10 A.M. Choice B (10:10 P.M.) is incorrect as 1010 hours is in the morning, not the evening. Choices C (1:01 A.M.) and D (1:01 P.M.) are incorrect as they do not match the given military time of 1010 hours.

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