Nursing Elites

1. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?

• A. 1/4
• B. 1/3
• C. 1/2
• D. 2/3

Correct answer: B

Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.

2. Solve for x: 5x + 10 = 20.

• A. 4
• B. 2
• C. 5
• D. 7

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

3. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7

• A. 3/7
• B. 3/6
• C. 3/9
• D. 3/8

Correct answer: A

Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.

4. In a bowling team consisting of 34 members, with 18 being male, if 4 females leave the team, what percent of the remaining members are male?

• A. 50%
• B. 60%
• C. 70%
• D. 55%

Correct answer: B

Rationale: After 4 females leave the team, there are 30 members remaining. Out of these, 18 are male. To find the percentage of male members, divide the number of male members (18) by the total number of remaining members (30) and multiply by 100. Percentage of male members = (18/30) * 100 = 60%. Therefore, 60% of the remaining members are male. Choices A, C, and D are incorrect as they do not reflect the accurate calculation based on the information provided in the question.

5. The head nurse at the hospital has a team of six nurses and one phlebotomist. If the phlebotomist is responsible for 1/7 of the patients, what fraction of the patients is each nurse responsible for?

• A. 1/6
• B. 1/7
• C. 1/8
• D. 1/5

Correct answer: A

Rationale: The correct answer is A: 1/6. The phlebotomist is responsible for 1/7 of the patients, leaving 6/7 of the patients for the six nurses. To find out the fraction of patients each nurse is responsible for, divide the remaining patients (6/7) among the six nurses. This results in each nurse being responsible for 1/6 of the patients. Choice B, 1/7, is incorrect because that is the fraction assigned to the phlebotomist. Choices C and D, 1/8 and 1/5, are incorrect fractions and do not reflect the correct distribution of patients among the nurses.

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