Nursing Elites

1. Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?

• A. (1, 6)
• B. (3, 2)
• C. (5, 2)
• D. (7, 8)

Correct answer: D

Rationale: To find the fourth vertex of a parallelogram, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length. Therefore, we can determine the fourth vertex by extending the line formed by the first two points. If we extend the line from (1, 2) to (3, 4), we find that it has a slope of 1. This means that extending the line from (3, 4) by the same slope will give us the fourth vertex. By adding 2 units to both x and y coordinates of (5, 6), we get (7, 8) as the coordinates of the fourth vertex. Therefore, the correct answer is (7, 8). Choices A, B, and C are incorrect as they do not satisfy the properties of a parallelogram and the given coordinate points.

2. A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test?

• A. 24
• B. 28
• C. 36
• D. 38

Correct answer: C

Rationale: The ratio of 4:2 simplifies to 2:1. This means that for every 2 algebra problems, there is 1 data analysis problem. If there are 18 algebra problems, we can set up a proportion: 2 algebra problems correspond to 1 data analysis problem. Therefore, 18 algebra problems correspond to x data analysis problems. Solving the proportion, x = 18 * 1 / 2 = 9. Hence, there are 9 data analysis problems on the test. Therefore, the total number of data analysis problems on the test is 18 (algebra problems) + 9 (data analysis problems) = 27.

3. Which of the following values is the greatest?

• A. 2/11
• B. 5.4
• C. 13/3
• D. 6.25

Correct answer: D

Rationale: To determine the greatest value among the given options, convert the fractions to decimal form. 2/11 is approximately 0.1818, 5.4 is a decimal itself, 13/3 is approximately 4.333, and 6.25 is a decimal. Comparing these values, 6.25 is the largest among them. Therefore, option D, 6.25, is the correct answer. Choices A, B, and C are smaller values compared to 6.25, making them incorrect answers.

4. How many quarts are in 1 liter?

• A. 1 quart
• B. 1.06 quarts
• C. 2 quarts
• D. 0.5 quarts

Correct answer: B

Rationale: To convert liters to quarts, you can use the conversion factor 1 liter ≈ 1.06 quarts. Therefore, 1 liter is approximately 1.06 quarts. Choice A is incorrect because 1 quart is not equivalent to 1 liter. Choice C is incorrect as 2 quarts is more than 1 liter. Choice D is incorrect as 0.5 quarts is half of 1 liter.

5. Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35% of the staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work in the neonatal unit during the holiday?

• A. 0.07
• B. 0.13
• C. 0.65
• D. 0.8

Correct answer: A

Rationale: After 35% of the staff is on vacation, 65% remain. Of these remaining staff, 20% are certified to work in the neonatal unit. To find the percentage of the total staff that is certified and available, we calculate 20% of the 65% remaining staff: 0.2 * 65% = 13%. Therefore, 13% of the total staff is certified and available to work in the neonatal unit during the holiday. The correct answer is 0.13. Choices B, C, and D are incorrect because they do not accurately represent the correct percentage calculation based on the given information.

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