Nursing Elites

1. What is the least common denominator for the fractions below? 1/2, 2/3, 4/5

• A. 30
• B. 25
• C. 7
• D. 19

Correct answer: A

Rationale: To find the least common denominator for fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, 30 is the least common denominator for these fractions. Choice B (25), C (7), and D (19) are incorrect because they are not the least common multiple of the denominators of the given fractions.

2. Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?

• A. $13.00
• B. $87.00
• C. $22.75
• D. $9.75

Correct answer: C

Rationale: Jacob spends 87% of $100, which is $87, leaving her with $13. When she invests the remaining $13 and earns a 75% profit, she gains an additional $9.75. Thus, the total amount she now has is $13 (remaining amount) + $9.75 (profit) = $22.75. Choice A is incorrect as it reflects the remaining amount before investing and earning a profit. Choice B is incorrect as it does not account for the profit earned from the investment. Choice D is incorrect as it only considers the profit amount, not the total sum.

3. How does kinetic energy change when the velocity of an object is doubled?

• A. Kinetic energy is halved
• B. Kinetic energy quadruples
• C. Kinetic energy doubles
• D. Kinetic energy remains the same

Correct answer: B

Rationale: Kinetic energy is directly proportional to the square of the velocity of an object according to the kinetic energy formula (KE = 0.5 * m * v^2). When the velocity is doubled, the kinetic energy increases by a factor of 2^2 = 4. Therefore, the kinetic energy quadruples when the velocity of an object is doubled. Choice A is incorrect because halving the kinetic energy would be the result if the velocity was halved, not doubled. Choice C is incorrect because doubling the velocity would result in a fourfold increase in kinetic energy, not just a double. Choice D is incorrect because kinetic energy is directly related to the velocity of an object, so if the velocity changes, the kinetic energy changes accordingly.

4. If Mom's car drove 72 miles in 90 minutes, how fast did she drive in feet per second?

• A. 0.8 feet per second
• B. 48.9 feet per second
• C. 0.009 feet per second
• D. 70.4 feet per second

Correct answer: D

Rationale: To convert miles per hour to feet per second, first convert time to hours: 90 minutes = 1.5 hours. Then, calculate the speed in miles per hour: 72 miles in 1.5 hours = 48 mph. Finally, convert mph to feet per second using the conversion factor 1 mph = 1.47 feet per second: 48 mph * 1.47 = 70.4 feet per second. Therefore, the correct answer is 70.4 feet per second. Choices A, B, and C are incorrect because they do not reflect the correct conversion from miles per hour to feet per second.

5. Which of the following most accurately describes how the argument proceeds?

• A. The argument proceeds by stating a conclusion, then providing supporting evidence.
• B. The argument proceeds by stating several facts and drawing a conclusion.
• C. The argument proceeds by offering a premise, then refuting it.
• D. The argument proceeds by making a comparison between two subjects.

Correct answer: A

Rationale: The correct answer is A. The argument in the text proceeds by stating a conclusion ('Dwight is the best employee') and then providing supporting evidence ('The top salesman is always the best employee'). This aligns with choice A, where the argument is structured by stating a conclusion first and then offering supporting evidence. Choices B, C, and D are incorrect because the argument in the text does not simply present facts and draw a conclusion, offer a premise and then refute it, or make a comparison between two subjects.

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