Nursing Elites

1. Arrange the following fractions from least to greatest: 2/3, 1/2, 5/8, 7/9.

• A. 7/9, 5/8, 2/3, 1/2
• B. 1/2, 2/3, 5/8, 7/9
• C. 1/2, 5/8, 2/3, 7/9
• D. 7/9, 2/3, 5/8, 1/2

Correct answer: C

Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.

2. Which of the following describes a real-world situation that could be modeled by?

• A. Courtney charges a $12 fee plus $2 per hour to babysit. Kendra charges a $10 fee plus $5 per hour. Write an equation to find the number of hours for which the two charges are equal.
• B. Courtney charges a $2 fee plus $12 per hour to babysit. Kendra charges a $5 fee plus $10 per hour. Write an equation to find the number of hours for which the two charges are equal.
• C. Courtney charges a $12 fee plus $2 to babysit. Kendra charges a $10 fee plus $5 to babysit. Write an equation to find the number of hours for which the two charges are equal.
• D. Courtney charges $10 plus $2 per hour to babysit. Kendra charges $12 plus $5 per hour. Write an equation to find the number of hours for which the two charges are equal.

Correct answer: A

Rationale: In the given situation, Courtney charges a $12 fee plus $2 per hour to babysit, represented by the equation: 12 + 2h where h is the number of hours. Kendra charges a $10 fee plus $5 per hour, represented by the equation: 10 + 5h. To find the number of hours for which the two charges are equal, we set the two equations equal to each other: 12 + 2h = 10 + 5h. Solving for h gives h = 2. This means that the charges are equal after 2 hours of babysitting. Choice B is incorrect because the fee and hourly rates for Courtney and Kendra are reversed, leading to an incorrect equation. Choices C and D are incorrect as they do not accurately represent the given scenario of fees and hourly rates for babysitting by Courtney and Kendra.

3. Kimberley earns $10 an hour babysitting, and after 10 p.m., she earns $12 an hour, with the amount paid being rounded to the nearest hour accordingly. On her last job, she worked from 5:30 p.m. to 11 p.m. In total, how much did Kimberley earn on her last job?

• A. $45
• B. $57
• C. $62
• D. $42

Correct answer: C

Rationale: Kimberley worked from 5:30 p.m. to 11 p.m., which is a total of 5.5 hours before 10 p.m. (from 5:30 p.m. to 10 p.m.) and 1 hour after 10 p.m. The earnings she made before 10 p.m. at $10 an hour was 5.5 hours * $10 = $55. Her earnings after 10 p.m. for the rounded hour were 1 hour * $12 = $12. Therefore, her total earnings for the last job were $55 + $12 = $67. Since the amount is rounded to the nearest hour, the closest rounded amount is $62. Therefore, Kimberley earned $62 on her last job. Choice A is incorrect as it does not consider the additional earnings after 10 p.m. Choices B and D are incorrect as they do not factor in the hourly rates and the total hours worked accurately.

4. In a class of 48 students, there are 22 boys and 26 girls. What is the ratio of girls to boys in the class?

• A. 26:11
• B. 13:11
• C. 13:22
• D. 11:13

Correct answer: B

Rationale: To find the ratio of girls to boys, divide the number of girls by the number of boys: 26/22 = 13/11. Therefore, the correct ratio is 13:11. Choice A is incorrect as it includes an extra '00'. Choice C is incorrect as it reverses the order of girls to boys. Choice D is incorrect as it reverses the order and provides the ratio of boys to girls.

5. If 35% of a paycheck is deducted for taxes and 4% for insurance, what is the total percent taken out of the paycheck?

• A. 20%
• B. 31%
• C. 39%
• D. 42%

Correct answer: C

Rationale: When 35% is deducted for taxes and 4% for insurance, the total percentage taken out of the paycheck is 35% + 4% = 39%. Therefore, the correct answer is 39%, which corresponds to option C. Option A (20%) is incorrect because it does not account for the total deductions. Option B (31%) is incorrect as it does not sum up the percentages correctly. Option D (42%) is incorrect as it overestimates the total deductions.

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