Nursing Elites

1. How do you find the radius of a circle when given the diameter? How do you find the radius of a circle when given the circumference?

• A. Radius = Diameter ÷ 2; Radius = Circumference ÷ 2π
• B. Radius = Diameter ÷ 3; Radius = Circumference ÷ π
• C. Radius = Diameter × 2; Radius = Circumference × 2π
• D. Radius = Diameter ÷ 4; Radius = Circumference ÷ π

Correct answer: A

Rationale: The correct way to find the radius of a circle when given the diameter is by dividing the diameter by 2 to get the radius (Radius = Diameter ÷ 2). When given the circumference, you need to divide the circumference by 2π to find the radius (Radius = Circumference ÷ 2π). Choice A provides the accurate formulas for finding the radius in both scenarios. Choices B, C, and D present incorrect formulas that do not align with the correct calculations for determining the radius of a circle based on the given information.

2. What are all the factors of 12?

• A. 12, 24, 36
• B. 1, 2, 4, 6, 12
• C. 12, 24, 36, 48
• D. 1, 2, 3, 4, 6, 12

Correct answer: D

Rationale: The factors of 12 are numbers that divide evenly into 12 without leaving a remainder. The correct factors of 12 are 1, 2, 3, 4, 6, and 12. Choice A (12, 24, 36) is incorrect as only 12 is a factor of 12. Choice B (1, 2, 4, 6, 12) includes all the correct factors of 12. Choice C (12, 24, 36, 48) is incorrect as 24, 36, and 48 are not factors of 12.

3. Simplify the following expression: 5 x 3 ÷ 9 x 4

• A. 5/12
• B. 8/13
• C. 20/27
• D. 47/36

Correct answer: A

Rationale: To simplify the expression 5 x 3 ÷ 9 x 4, first perform the multiplications and divisions from left to right: 5 x 3 = 15 and 9 x 4 = 36. So, the expression becomes 15 ÷ 36. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. Hence, 15 ÷ 36 = 15/36. To simplify the fraction further, find the greatest common divisor, which is 3. Divide both the numerator and denominator by 3 to get the final result: 15/36 = 5/12. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct simplification of the given expression.

4. If 5y - 7 = 13, what is y?

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: A

Rationale: To solve the equation 5y - 7 = 13, start by adding 7 to both sides to isolate the term with y: 5y = 20. Then, divide by 5 to solve for y, which gives y = 4. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not yield the correct solution when substituted into the equation. It's important to follow the proper steps in solving linear equations to arrive at the correct answer.

5. Based on the information in the table showing healthcare spending per capita in a group of African nations, which country experienced the largest increase in dollars spent per capita from 2013 to 2015?

• A. Eritrea
• B. Sudan
• C. Tanzania
• D. Kenya

Correct answer: A

Rationale: Eritrea had the largest increase in healthcare spending per capita from 2013 to 2015. By comparing the data in the table, it is evident that Eritrea had the greatest change in dollars spent per capita during the specified period. Sudan, Tanzania, and Kenya did not experience as significant an increase in healthcare spending per capita as Eritrea did, making them incorrect choices.

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