Nursing Elites

1. Order the groups from largest to smallest, according to the number of doctors in each group.

• A. Group X, Group Y, Group Z
• B. Group Z, Group Y, Group X
• C. Group Z, Group X, Group Y
• D. Group Y, Group X, Group Z

Correct answer: B

Rationale: The correct order from largest to smallest number of doctors in each group is Group Z (20 doctors), Group Y (15 doctors), and Group X (10 doctors). Therefore, the correct order is Group Z, Group Y, and Group X, which matches option B. Option B is correct because it correctly reflects the descending order of the number of doctors in each group. Options A, C, and D are incorrect as they do not follow the correct order of the number of doctors in each group.

2. What percentage of the staff is certified and available to work in the neonatal unit during the holiday if 35% are on vacation and 20% of the remainder are certified?

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

Correct answer: A

Rationale: After 35% of the staff are on vacation, 65% remain. Since 20% of the remaining staff are certified, you multiply 0.20 by 65% (0.20 * 65% = 0.13 or 13%). Therefore, the correct answer is 0.13 or 13%. Choices C and D are incorrect as they do not represent the correct calculation for the percentage of certified staff available. Choice B is incorrect because it incorrectly states the calculated percentage as 0.13 instead of 0.07.

3. How many quarts are in a gallon?

• A. 1 quart
• B. 2 quarts
• C. 3 quarts
• D. 4 quarts

Correct answer: D

Rationale: The correct answer is D, which is 4 quarts in a gallon. In the US customary system, there are 4 quarts in a gallon. Choice A is incorrect as it represents the equivalent of a quart, not a gallon. Choice B and C are incorrect as they are smaller quantities than a gallon and do not match the conversion of quarts to a gallon.

4. Apply the polynomial identity to rewrite (a + b)².

• A. a² + b²
• B. 2ab
• C. a² + 2ab + b²
• D. a² - 2ab + b²

Correct answer: C

Rationale: When you see something like (a + b)², it means you're multiplying (a + b) by itself: (a + b)² = (a + b) × (a + b) To expand this, we use the distributive property (which says you multiply each term in the first bracket by each term in the second bracket): Multiply the first term in the first bracket (a) by both terms in the second bracket: a × a = a² a × b = ab Multiply the second term in the first bracket (b) by both terms in the second bracket: b × a = ab b × b = b² Now, add up all the results from the multiplication: a² + ab + ab + b² Since ab + ab is the same as 2ab, we can simplify it to: a² + 2ab + b² So, (a + b)² = a² + 2ab + b². This is known as a basic polynomial identity, and it shows that when you square a binomial (a two-term expression like a + b), you get three terms: the square of the first term (a²), twice the product of the two terms (2ab), and the square of the second term (b²). Therefore, the correct answer is C (a² + 2ab + b²)

5. Three roommates decided to combine their money to buy a birthday gift for the fourth roommate. The first roommate contributed $12.03, the second roommate gave $11.96, and the third roommate donated $12.06. Estimate the total amount of money the roommates used to purchase the gift

• A. $34
• B. $35
• C. $36
• D. $37

Correct answer: C

Rationale: To find the total amount contributed, you can add the individual contributions: $12.03 + $11.96 + $12.06 = $36. Therefore, the roommates used a total of $36 to purchase the gift. Choice A ($34), B ($35), and D ($37) are incorrect as they do not reflect the accurate total amount contributed by the roommates.

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