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. Which of the following numbers is a perfect square?

• A. 10
• B. 12
• C. 15
• D. 16

Correct answer: D

Rationale: A perfect square is a number obtained by squaring an integer. In this case, 16 is a perfect square because it is the result of squaring 4 (4 x 4 = 16). The other answer choices, 10, 12, and 15, are not the product of squaring any whole number, making them incorrect. Therefore, the correct answer is 16, as it is a perfect square.

3. A vitamin's expiration date has passed. It was supposed to contain 500 mg of calcium, but it has lost 325 mg of calcium. How many mg of calcium are left?

• A. 175 mg
• B. 135 mg
• C. 185 mg
• D. 200 mg

Correct answer: A

Rationale: The correct answer is A: 175 mg. The vitamin originally contained 500 mg of calcium. After losing 325 mg, the remaining amount of calcium is calculated as 500 mg - 325 mg = 175 mg. Choice B (135 mg) is incorrect because the vitamin lost more calcium than that. Choices C (185 mg) and D (200 mg) are incorrect as they do not consider the amount of calcium lost from the original 500 mg.

4. In a table showing blood pressure readings for different age groups, how do you determine the patient with the highest systolic pressure?

• A. Find the largest number in the 'systolic pressure' column.
• B. Compare the means (averages) of each age group.
• C. Add all systolic pressure values and divide by the total number of patients.
• D. Subtract the lowest systolic pressure from the highest.

Correct answer: A

Rationale: To determine the patient with the highest systolic pressure from the table, you should find the largest number in the 'systolic pressure' column. This method directly identifies the individual with the highest systolic pressure. Comparing the means (averages) of each age group, as suggested in choice B, may not pinpoint the specific patient with the highest systolic pressure, as averages can sometimes mask extreme values. Adding all systolic pressure values and dividing by the total number of patients, as in choice C, calculates the average systolic pressure for all patients, not identifying the highest individual reading. Subtracting the lowest systolic pressure from the highest, as in choice D, determines the range of systolic pressures but does not directly point out the patient with the highest reading.

5. Solve for x: 120:x::40:0.5.

• A. 1.5
• B. 60
• C. 0.167
• D. 16

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

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