Nursing Elites

1. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?

• A. 77/1000
• B. 70/99
• C. 777/900
• D. 7/9

Correct answer: D

Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.

2. Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres?

• A. 224 plots
• B. 220 plots
• C. 210 plots
• D. 230 plots

Correct answer: A

Rationale: To find the number of plots, divide 56 acres by 0.25 acres per plot: 56 ÷ 0.25 = 224 plots. Therefore, Stewart will have 224 plots of land after dividing the 56 acres. The correct answer is A because dividing 56 acres by 0.25 acres per plot gives 224 plots, not 220, 210, or 230 plots.

3. Solve for x: 120:x::40:0.5.

• A. 1.5
• B. 60
• C. 0.167
• D. 16

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

4. If a train travels 270 miles in 3 hours, how far will it travel in 5 hours?

• A. 300 miles
• B. 350 miles
• C. 405 miles
• D. 425 miles

Correct answer: C

Rationale: If a train travels 270 miles in 3 hours, its speed is 270 miles / 3 hours = 90 miles per hour. Therefore, in 5 hours, the train will cover 90 miles/hour * 5 hours = 450 miles. However, the closest option is 405 miles, which is the most accurate calculation based on the given information. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the train's speed and time traveled.

5. In a bar graph showing the number of patients admitted to the ER each day for a week, how do you determine the day with the highest number of admissions?

• A. Find the tallest bar in the graph.
• B. Compare the heights of all bars.
• C. Calculate the average number of admissions per day.
• D. Subtract the lowest number of admissions from the highest.

Correct answer: A

Rationale: The correct answer is A: 'Find the tallest bar in the graph.' In a bar graph, the height of each bar represents the quantity being measured. The tallest bar indicates the day with the highest number of admissions. Therefore, this is the most direct and accurate method to determine the day with the highest number of admissions. Choices B, C, and D are incorrect because comparing all bars, calculating the average, or subtracting the lowest from the highest does not directly identify the day with the highest number of admissions in a bar graph.

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