Nursing Elites

1. Sally wants to buy a used truck for her delivery business. Truck A is priced at $450 and gets 25 miles per gallon. Truck B costs $650 and gets 35 miles per gallon. If gasoline costs $4 per gallon, how many miles must Sally drive to make truck B the better buy?

• A. 500
• B. 7500
• C. 1750
• D. 4375

Correct answer: D

Rationale: To determine the breakeven point where Truck B becomes the better buy, we need to compare the total costs for both trucks. For Truck A: Total cost = $450 + (miles / 25) * $4. For Truck B: Total cost = $650 + (miles / 35) * $4. To find the point where Truck B is the better buy, set the two total cost equations equal to each other and solve for miles. By solving this equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. Choice A (500) is too low, Choice B (7500) is too high, and Choice C (1750) does not represent the breakeven point where Truck B becomes more cost-effective.

2. A rectangular field has an area of 1452 square feet. If the length is three times the width, what is the width of the field?

• A. 22 feet
• B. 44 feet
• C. 242 feet
• D. 1452 feet

Correct answer: A

Rationale: To find the width of the rectangular field, use the formula for the area of a rectangle: A = length × width. Given that the length is three times the width, you have A = 3w × w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet. Choice B, 44 feet, is incorrect because it represents the length, not the width. Choice C, 242 feet, is incorrect as it is not a factor of the area. Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

3. Based on the facts in the passage, what prediction could you make about the time immediately following the Louisiana Purchase?

• A. Explorers were already on their way to the region.
• B. The government aimed to increase its power.
• C. Government officials would ensure explorers were dispatched to the region.
• D. Explorers would expect compensation for their work.

Correct answer: A

Rationale: The correct answer is A. The passage mentions that explorers like Lewis and Clark were sent to the newly acquired Louisiana Territory immediately after the Louisiana Purchase. This indicates that explorers were already on their way to the region following the purchase. Choice B is incorrect as there is no direct mention of the government wanting to increase its power right after the purchase. Choice C is incorrect as the passage does not state that government officials would specifically ensure explorers were dispatched to the region. Choice D is incorrect because there is no information provided in the passage about explorers expecting payment for their work.

4. How do you find the least common multiple?

• A. List all multiples of the numbers, then find the smallest common one
• B. List all factors of the numbers, then find the largest common one
• C. Divide the largest number by the smallest
• D. Multiply the two numbers together

Correct answer: A

Rationale: The correct way to find the least common multiple is to list all the multiples of each number and then identify the smallest common multiple. Choice A is correct because it describes the correct process. Listing factors, as suggested in choice B, helps in finding the greatest common factor, not the least common multiple. Dividing the largest number by the smallest, as mentioned in choice C, does not help find the least common multiple. Multiplying the two numbers together, as stated in choice D, results in their least common multiple when the numbers have no common factors.

5. The student feared she would fail, so she thought she should study harder. Which of the following is a correct revision of the ambiguous sentence above?

• A. Unless the student feared that she would fail out of school, she wouldn’t study harder.
• B. The student said, 'she will fail out of the university unless she studies during her exams.'
• C. The student was afraid that she should study harder before failing out during her exams.
• D. 'If I don’t study harder before the exams,' the student fretted, 'I will surely fail out of school.'

Correct answer: D

Rationale: Option D is the clearest revision as it expresses the student's concern directly through dialogue. The use of quotation marks provides clarity, and the student's worry about failing is stated clearly. The other options either lack clarity or contain grammatical issues. Option A introduces an unnecessary condition with 'unless' which changes the original meaning. Option B introduces a third-person perspective that is not present in the original sentence. Option C is awkwardly constructed and does not convey the student's concern effectively.

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