Nursing Elites

1. During week 1, Cameron worked 5 shifts. During week 2, she worked twice as many shifts. During week 3, she added 4 more shifts. How many shifts did Cameron work in week 3?

• A. 15 shifts
• B. 14 shifts
• C. 16 shifts
• D. 17 shifts

Correct answer: B

Rationale: To find out how many shifts Cameron worked in week 3, we first determine the shifts worked in weeks 1 and 2. In week 1, Cameron worked 5 shifts. In week 2, she worked twice as many shifts, which is 5 x 2 = 10 shifts. Adding the 4 more shifts in week 3, the total shifts worked in week 3 would be 5 (week 1) + 10 (week 2) + 4 (week 3) = 19 shifts. Therefore, the correct answer is 14 shifts (Option B), not 15 shifts (Option A), 16 shifts (Option C), or 17 shifts (Option D).

2. A study was conducted where patients were divided into three groups: 1/2 in Group Alpha, 1/3 in Group Beta, and 1/6 in Group Gamma. Which group is the smallest?

• A. Group Alpha
• B. Group Beta
• C. Group Gamma
• D. Group Gamma

Correct answer: C

Rationale: The smallest group is Group Gamma, which had 1/6 of the total number of patients. To determine the smallest group, compare the fractions representing the portions of patients in each group. 1/6 is smaller than 1/3 and 1/2, making Group Gamma the smallest. Group Alpha and Group Beta have larger fractions of patients, making them larger groups compared to Group Gamma.

3. Which number is larger, 0.5 or 1/3?

• A. 0.5
• B. 1/3
• C. They are equal
• D. Cannot be determined

Correct answer: A

Rationale: To compare 0.5 and 1/3, we can convert 0.5 to a fraction, which is 1/2. When comparing 1/2 and 1/3, we find that 1/2 is greater than 1/3. Therefore, 0.5 is larger than 1/3. Choice B is incorrect as 1/3 is smaller. Choice C is incorrect as the numbers are not equal. Choice D is incorrect as a clear comparison can be made.

4. Simplify the expression. Which of the following is correct? (3/2)(8/3) ÷ (5/4)

• A. 1
• B. 2
• C. 3
• D. 4

Correct answer: B

Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction): (3/2)(8/3) ÷ (5/4) = (24/6) ÷ (5/4) = (4/1) ÷ (5/4). To divide fractions, the second fraction is flipped and then multiplied by the first fraction, resulting in (4/1)(4/5) = (16/5), which simplifies to 3(1/5) or 2.

5. What is a direct proportion? What is an inverse proportion?

• A. Direct: Both quantities increase or decrease together; Inverse: When one quantity increases, the other decreases by the same factor
• B. Direct: Both quantities decrease together; Inverse: When one quantity increases, the other increases
• C. Direct: One quantity stays the same while the other increases; Inverse: Both quantities increase together
• D. Direct: One quantity increases while the other decreases; Inverse: Both quantities decrease together

Correct answer: A

Rationale: In a direct proportion, both quantities increase or decrease together. This means that as one quantity goes up, the other also goes up, and vice versa. On the other hand, in an inverse proportion, when one quantity increases, the other decreases by the same factor. Therefore, choice A is correct as it accurately defines direct and inverse proportions. Choices B, C, and D are incorrect because they do not accurately describe the relationship between quantities in direct and inverse proportions.

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