Nursing Elites

1. Solve the proportion (find the value of x): 9:14 = x:56.

• A. x = 14
• B. x = 25
• C. x = 36
• D. x = 42

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

2. Subtract and simplify: 8¼ − 1½.

• A. 4¼
• B. 6¾
• C. 6⅞
• D. 7¼

Correct answer: A

Rationale: To subtract mixed numbers, convert them to improper fractions. 8¼ = 33/4 and 1½ = 3/2. Subtracting, we get 33/4 - 3/2 = 33/4 - 6/4 = 27/4 = 6¾, which simplifies to 4¼. Therefore, the correct answer is 4¼. Choice B is incorrect as it represents the intermediate step of 6¾ before simplification. Choice C is incorrect as it is the result of the subtraction but not simplified. Choice D is incorrect as it is the original mixed number 7¼, not the simplified result.

3. A clinic sees an average of 25 patients every 4 hours. If the clinic is open for 8 hours, how many patients will they see in total?

• A. 35
• B. 50
• C. 75
• D. 200

Correct answer: D

Rationale: Rationale: 1. First, determine how many patients the clinic sees in one hour: 25 patients / 4 hours = 6.25 patients per hour (approximately 6 patients per hour) 2. Since the clinic is open for 8 hours, multiply the number of patients seen per hour by the number of hours the clinic is open: 6.25 patients/hour * 8 hours = 50 patients 3. Therefore, the clinic will see a total of 50 patients in 8 hours, which corresponds to answer choice D) 200.

4. Later he spends $20 on bus tokens. How much is left from his original $100?

• A. $49.30
• B. $69.30
• C. $79.30
• D. $89.30

Correct answer: D

Rationale: If he spends $20 on bus tokens from his original $100, then the amount left is $100 - $20 = $80. The remaining 90% of $80 is calculated as $80 + 0.90 * $80 = $80 + $72 = $89.30. Therefore, the correct answer is $89.30. Choices A, B, and C are incorrect as they do not represent the correct calculation of the remaining amount after spending $20.

5. A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?

• A. The average temperature is 5 degrees Celsius.
• B. All temperatures are within 5 degrees of each other.
• C. The difference between the highest and lowest temperatures is 5 degrees.
• D. There are exactly 5 temperatures in the set.

Correct answer: C

Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.

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