Nursing Elites

1. A recent census of visitors to a popular beach showed that there was a ratio of 6:16 surfers to swimmers. Which of the following is a possible actual number of surfers and swimmers at the beach?

• A. 62:45
• B. 72:210
• C. 125:00
• D. 219:20

Correct answer: B

Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.

2. Express the ratio of 25:80 as a percentage.

• A. 31.25%
• B. 34%
• C. 41.25%
• D. 43.75%

Correct answer: A

Rationale: To express the ratio 25:80 as a percentage, follow these steps: First, divide 25 by 80: 25/80 = 0.3125. Then, multiply by 100 to convert to a percentage: 0.3125 × 100 = 31.25%. Therefore, the ratio 25:80 is equivalent to 31.25%. Choice A is correct. Choice B (34%) is incorrect because it does not accurately represent the ratio 25:80. Choice C (41.25%) and Choice D (43.75%) are also incorrect as they do not match the calculated percentage for the given ratio.

3. 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.

4. Ratio and proportion 1.2:x=14:42.

• A. 2
• B. 0
• C. 1
• D. 3

Correct answer: D

Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 ​ =3.6

5. What is the result of dividing 3 by 4?

• A. 5.75
• B. 5.875
• C. 6.25
• D. 0.75

Correct answer: D

Rationale: To divide 3 by 4, we perform the division operation: 3 ÷ 4 = 0.75. The correct answer is 0.75 (D). Choices A, B, and C are incorrect because they do not result from dividing 3 by 4. Choice A (5.75) is the result of dividing 23 by 4, choice B (5.875) is the result of dividing 7 by 1.2, and choice C (6.25) is the result of multiplying 5 by 1.25.

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