Nursing Elites

1. Which of the following lists is in order from least to greatest? 2−1 , −(4/3), (−1)3 , (2/5)

• A. 2−1 , −(4/3), (−1)3 , (2/5)
• B. −(4/3), (−1)3 , 2−1 , (2/5)
• C. −(4/3), (2/5), 2−1 , (−1)3
• D. −(4/3), (−1)3 , (2/5), 2−1

Correct answer: D

Rationale: To determine the correct order from least to greatest, start by simplifying the expressions. 2^(-1) = 1/2 and (-1)^3 = -1. Now, comparing the values, (-4/3) is the most negative, followed by -1, then (2/5), and finally 1/2. Therefore, the correct order is (-4/3), (-1)^3, (2/5), 2^(-1), making choice D the correct answer. Choices A, B, and C are incorrect because they do not follow the correct order from least to greatest as determined by comparing the values of the expressions after simplification.

2. What is the GCF (greatest common factor)?

• A. The largest factor that all the numbers share
• B. The smallest factor that all the numbers share
• C. The largest multiple that all the numbers share
• D. The smallest multiple that all the numbers share

Correct answer: A

Rationale: The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. This factor represents the highest number that can evenly divide each of the numbers in the set without any remainder. Choice B, 'The smallest factor that all the numbers share,' is incorrect because the GCF is the greatest, not the smallest, factor. Choices C and D, 'The largest multiple that all the numbers share' and 'The smallest multiple that all the numbers share,' are also incorrect as the GCF refers to factors, not multiples.

3. Erma has her eye on two sweaters, one for $50 and one for $44. With a sale of 25% off the cheaper item, what will she spend?

• A. 79
• B. 81
• C. 83
• D. 85

Correct answer: A

Rationale: Erma pays full price for the $50 sweater and gets 25% off the $44 sweater. 25% of $44 is $11, so she pays $33 for the second sweater. Therefore, the total amount Erma spends is $50 (first sweater) + $33 (second sweater) = $79. Choices B, C, and D are incorrect as they do not correctly calculate the total amount Erma would spend on both sweaters.

4. What number is 6 equal to 30% of?

• A. 18
• B. 20
• C. 24
• D. 26

Correct answer: A

Rationale: To find the number that is 30% of 6, you can set up the equation 0.3x = 6. Solving for x gives x = 6 / 0.3 = 20. Therefore, 6 is equal to 30% of 20. Choice B, 20, is incorrect as it is the result of the calculation. Choice C, 24, and Choice D, 26, are incorrect as they are not the numbers that 6 is equal to 30% of.

5. Shawna buys 5.0 gallons of paint. If she uses 2.5 gallons of it on the first day, how much does she have left?

• A. 2.0 gallons
• B. 2.5 gallons
• C. 3.0 gallons
• D. 1.5 gallons

Correct answer: B

Rationale: To find the remaining paint, subtract the amount used from the total gallons bought. 5.0 - 2.5 = 2.5 gallons. Therefore, Shawna has 2.5 gallons of paint left after using 2.5 gallons on the first day. Choices A, C, and D are incorrect because they do not accurately represent the amount of paint left after using 2.5 gallons.

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