Nursing Elites

1. Which of the following relationships represents no correlation between two variables?

• A. As a student’s class attendance decreases, the student’s overall grade remains the same
• B. As the number of hours a person exercises decreases, the weight of that person increases
• C. As the number of miles driven increases, the amount of gasoline in the tank decreases
• D. As the amount of water a plant receives increases, the growth rate of the plant increases

Correct answer: A

Rationale: Choice A represents no correlation between two variables as it states that as a student’s class attendance decreases, the student’s overall grade remains the same. This scenario shows no relationship between class attendance and grade. In contrast, choices B, C, and D show clear correlations between the variables mentioned. Choice B indicates a negative correlation between exercise hours and weight gain, choice C indicates a negative correlation between miles driven and gasoline in the tank, and choice D indicates a positive correlation between water intake and plant growth rate, making them all examples of correlated relationships.

2. Which of the following values is the greatest?

• A. 2/11
• B. 5.4
• C. 13/3
• D. 6.25

Correct answer: D

Rationale: To determine the greatest value among the given options, convert the fractions to decimal form. 2/11 is approximately 0.1818, 5.4 is a decimal itself, 13/3 is approximately 4.333, and 6.25 is a decimal. Comparing these values, 6.25 is the largest among them. Therefore, option D, 6.25, is the correct answer. Choices A, B, and C are smaller values compared to 6.25, making them incorrect answers.

3. Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper costs $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper he may purchase?

• A. 30c + 5p ≤ 100
• B. 30c + 5p = 100
• C. 30c + 5p > 100
• D. 30c + 5p < 100

Correct answer: A

Rationale: The correct inequality is 30c + 5p ≤ 100. This represents the combinations of ink cartridges (c) and printer paper (p) that Tom may purchase, ensuring the total cost is less than or equal to $100. Choice B is incorrect because the total cost should be less than or equal to $100, not equal to. Choices C and D are also incorrect as they indicate the total cost being greater than $100, which is not the case given Tom's budget limit.

4. Solve for x in the equation: 3x - 5 = 16

• A. 7
• B. 5
• C. 8
• D. 9

Correct answer: C

Rationale: To solve for x, add 5 to both sides of the equation: 3x - 5 + 5 = 16 + 5, which simplifies to 3x = 21. Next, divide both sides by 3: x = 21 ÷ 3 = 7. Therefore, the correct answer is x = 7, making option A the correct choice. Option C, '8,' is incorrect as it is not the solution obtained from the correct calculations. Options B and D, '5' and '9,' are also incorrect and not the solution to the given equation.

5. Order the groups from largest to smallest, according to the number of doctors in each group.

• A. Group X, Group Y, Group Z
• B. Group Z, Group Y, Group X
• C. Group Z, Group X, Group Y
• D. Group Y, Group X, Group Z

Correct answer: B

Rationale: The correct order from largest to smallest number of doctors in each group is Group Z (20 doctors), Group Y (15 doctors), and Group X (10 doctors). Therefore, the correct order is Group Z, Group Y, and Group X, which matches option B. Option B is correct because it correctly reflects the descending order of the number of doctors in each group. Options A, C, and D are incorrect as they do not follow the correct order of the number of doctors in each group.

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