Nursing Elites

1. Approximately by what percentage are there more female staff members in City Y compared to City X?

• A. 5%
• B. 10%
• C. 15%
• D. 20%

Correct answer: D

Rationale: To find the percentage difference in female staff members between City Y and City X, you subtract the percentage of female staff members in City X from the percentage in City Y. So, 60% (City Y) - 40% (City X) = 20%. This means there are 20% more female staff members in City Y compared to City X. Choices A, B, and C are incorrect percentages and do not accurately represent the 20% difference between the two cities.

2. Solve for y: 2y + 5 = 25 * 10

• A. y = 25
• B. y = 100
• C. y = 150
• D. y = 200

Correct answer: B

Rationale: To solve the equation 2y + 5 = 25 * 10, start by simplifying the right side: 25 * 10 = 250. Then, subtract 5 from both sides to isolate 2y: 2y = 250 - 5 = 245. Finally, divide by 2 to find the value of y: y = 245 / 2 = 122.5. Therefore, the correct answer is y = 122.5. Choices A, C, and D are incorrect as they do not result from the correct calculation steps.

3. Solve for x: 3(x + 4) = 18

• A. x = 2
• B. x = 4
• C. x = 6
• D. x = 8

Correct answer: C

Rationale: To solve the equation 3(x + 4) = 18, first distribute the 3 to both terms inside the parentheses: 3x + 12 = 18. Next, isolate the variable x by subtracting 12 from both sides: 3x = 6. Finally, divide by 3 to solve for x, giving x = 6. Choice A, x = 2, is incorrect as the correct solution is x = 6. Choices B (x = 4) and D (x = 8) are also incorrect as they do not satisfy the given equation.

4. What is the difference between two equal numbers?

• A. Negative
• B. Positive
• C. Zero
• D. Not enough information

Correct answer: C

Rationale: The difference between two numbers is found by subtracting one from the other. When two numbers are equal, subtracting them results in 0, because any number minus itself is always 0. Therefore, the difference between two equal numbers is always zero, making option C the correct answer. Option A ('Negative') and option B ('Positive') are incorrect as they do not represent the result of subtracting two equal numbers, which always yields zero. Option D ('Not enough information') is also incorrect as the difference between two equal numbers is definitively known to be zero.

5. Joshua has to earn more than 92 points on a state test to qualify for a scholarship. Each question is worth 4 points, and the test has 30 questions. Which inequality can be solved to determine the number of questions Joshua must answer correctly?

• A. 4x < 30
• B. 4x < 92
• C. 4x > 30
• D. 4x > 92

Correct answer: D

Rationale: Joshua must answer more than 92 points' worth of questions. Since each question is worth 4 points, the inequality is 4x > 92. Choice A (4x < 30) is incorrect as it represents that Joshua must answer less than 30 questions correctly, not earning more than 92 points. Choice B (4x < 92) is incorrect as it signifies that Joshua must earn less than 92 points, which contradicts the requirement. Choice C (4x > 30) is incorrect as it implies that Joshua must answer more than 30 questions correctly, but the threshold is 92 points, not 30 points.

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