Nursing Elites

1. There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there?

• A. 4,394
• B. 4,000
• C. 3,000
• D. 5,000

Correct answer: A

Rationale: To find the number of black marbles, we need to calculate the percentage that represents the black marbles, which is 100% - 34% = 66%. Then, we find 66% of 6,657 to determine the number of black marbles. 66% of 6,657 is approximately 4,394, so there are 4,394 black marbles in the jar. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct calculation for the number of black marbles in the jar.

2. Solve for x: 2x - 7 = 9.

• A. x = 10
• B. x = 7
• C. x = 8
• D. x = 5

Correct answer: C

Rationale: To solve the equation 2x - 7 = 9, first, add 7 to both sides to isolate the variable: 2x = 16. Then, divide by 2 to solve for x: x = 8. Choice A (x = 10) is incorrect because the solution is x = 8, not 10. Choice B (x = 7) is incorrect as it does not correctly solve the equation. Choice D (x = 5) is incorrect as it does not yield the correct solution for x.

3. A hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, 5 phlebotomists, 6 receptionists, and 45 physicians. On one particular day, the staff was at only 68% strength. How many people were working that day? (Round to the nearest whole number).

• A. 102
• B. 106
• C. 98
• D. 110

Correct answer: B

Rationale: To find the total staff working that day, add up all the staff members: 25 registered nurses + 75 unlicensed assistants + 5 phlebotomists + 6 receptionists + 45 physicians = 156 staff members. Since the staff was at 68% strength, multiply 156 by 0.68 to get 106. Therefore, approximately 106 people were working that day. Choice A, 102, is incorrect because it underestimates the total staff. Choice C, 98, is incorrect because it is too low. Choice D, 110, is incorrect because it overestimates the total staff.

4. If Bill has 5.5 vacation days left for the rest of the year and 3.25 sick days left, how many days will he have off work if he uses all of this time?

• A. 8.75
• B. 7.75
• C. 9
• D. 6.75

Correct answer: A

Rationale: To calculate the total days off, you need to sum up the remaining vacation days and sick days. 5.5 vacation days + 3.25 sick days = 8.75 days off. Therefore, the correct answer is A. Choice B (7.75) is incorrect because it doesn't account for all available days off. Choice C (9) is incorrect as it overestimates the total days off. Choice D (6.75) is incorrect as it underestimates the total days off.

5. Rebecca is able to paint 12 pickets on her picket fence in an hour. Her fence is 72 feet long, with 2 pickets per foot. How long will it take her to paint the fence?

• A. 2.4 hours
• B. 6 hours
• C. 12 hours
• D. 16.4 hours

Correct answer: B

Rationale: Rebecca can paint 12 pickets in 1 hour, which means she can paint 12 * 2 = 24 pickets in an hour. Since the fence is 72 feet long with 2 pickets per foot, she needs to paint a total of 72 * 2 = 144 pickets. If she paints 24 pickets per hour, it will take her 144 / 24 = 6 hours to paint the entire fence. Choice A (2.4 hours) is incorrect because it does not consider the total number of pickets on the fence. Choice C (12 hours) is incorrect as it overestimates the time needed based on her painting rate. Choice D (16.4 hours) is incorrect as it miscalculates the time required to paint the entire fence.

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