Nursing Elites

1. What is the least common multiple? What is the least common factor?

• A. The smallest number that both numbers multiply into; the smallest number that divides evenly into both
• B. The largest number that both numbers multiply into; the smallest number that divides evenly into both
• C. The smallest number that both numbers divide into evenly; the smallest number that multiplies into both
• D. The smallest number that both numbers divide into evenly; the smallest number that both multiply into

Correct answer: A

Rationale: The least common multiple is the smallest number that both numbers multiply into, which means it is the smallest number that both numbers can be evenly divided by without leaving a remainder. The least common factor, on the other hand, is the smallest number that divides both numbers without leaving a remainder. Therefore, choice A is correct as it accurately defines the least common multiple and factor. Choices B, C, and D are incorrect because they provide inaccurate definitions or mix up the concepts of multiplication and division in relation to finding the least common multiple and factor.

2. Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8

• A. 10/9, 7/3, 9/2, 7/8
• B. 9/2, 7/3, 10/9, 7/8
• C. 7/3, 9/2, 10/9, 7/8
• D. 7/8, 10/9, 7/3, 9/2

Correct answer: D

Rationale: To arrange the numbers from least to greatest, first convert them to decimals: 1. 7/3 is approximately 2.33 2. 9/2 equals 4.5 3. 10/9 is approximately 1.11 4. 7/8 equals 0.875 Now, arrange the decimals from least to greatest: 0.875 (7/8), 1.11 (10/9), 2.33 (7/3), 4.5 (9/2). Therefore, the correct order is 7/8, 10/9, 7/3, 9/2. Choice A is incorrect because it doesn't follow the correct order. Choice B is incorrect as it places 9/2 before 7/3, which is not the right arrangement. Choice C is incorrect as it places 7/3 before 9/2 and 10/9, which is incorrect. Thus, the correct answer is choice D.

3. A lab technician took 500 milliliters of blood from a patient. The technician used 1/6 of the blood for further tests. How many milliliters of blood were used for further tests? Round your answer to the nearest hundredth.

• A. 83
• B. 83.3
• C. 83.33
• D. 83.34

Correct answer: C

Rationale: To find 1/6 of 500, multiply 500 by 1/6: (500)(1/6) = 500/6 = 83.33. Converting the fraction to a decimal gives 83.33. Rounding this to the nearest hundredth results in 83.33. Therefore, 83.33 milliliters of blood were used for further tests. Choice A is incorrect as it does not consider the decimal value of the fraction. Choice B is incorrect as it rounds to the tenths place, not the nearest hundredth. Choice D is incorrect as it rounds up unnecessarily, as the correct answer should be rounded to 83.33.

4. If a person spends 1/4 of their day sleeping, how many hours do they spend sleeping?

• A. 6 hours
• B. 8 hours
• C. 4 hours
• D. 5 hours

Correct answer: A

Rationale: To calculate the number of hours a person spends sleeping when 1/4 of the day is spent sleeping, you need to find 1/4 of 24 hours. 1/4 of 24 hours is 6 hours, so the correct answer is A. Choice B (8 hours) is incorrect because it does not correspond to 1/4 of a day. Choice C (4 hours) is incorrect as it is half of the correct answer. Choice D (5 hours) is incorrect as it does not match the calculation for 1/4 of a day.

5. Veronica decided to celebrate her promotion by purchasing a new car. The base price for the car was $40,210. She paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of Veronica's new car?

• A. $50,210
• B. $48,443
• C. $43,225
• D. $40,210

Correct answer: B

Rationale: To find the total cost of Veronica's new car, you need to sum up all her expenses. So, $40,210 (base price) + $3,015 (surround sound system) + $5,218 (maintenance package) = $48,443. Therefore, the correct answer is $48,443. Choice A ($50,210) is incorrect as it incorrectly adds the base price to the other costs. Choice C ($43,225) is incorrect as it only includes the base price and the maintenance package, omitting the cost of the surround sound system. Choice D ($40,210) is incorrect as it only includes the base price of the car and not the additional costs for the surround sound system and maintenance package.

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