Nursing Elites

1. Veronica is making a holiday schedule. 35% of staff members will be on vacation, and 20% of the remainder are certified to work. What percentage of the staff is certified and available?

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

Correct answer: A

Rationale: To find the percentage of staff certified and available, we first calculate the percentage of staff members not on vacation, which is 100% - 35% = 65%. Then, 20% of this group is certified to work, which is 20% of 65% = 0.20 * 65% = 13%. Therefore, Veronica has 13% of the staff certified and available to work. The correct answer is 0.13 (or 13%). Choice C (0.65) is incorrect because it represents the percentage of staff members not on vacation, not the percentage that is certified and available. Choice D (0.8) is incorrect as it is not the correct percentage of staff members certified and available. Choice B (0.13) is the correct answer, not choice A (0.07), as 0.07 represents 7%, not 13%.

2. What is the result of (6.4)(2.8) ÷ 0.4? Which of the following is correct?

• A. 16.62
• B. 17.92
• C. 41.55
• D. 44.8

Correct answer: D

Rationale: To simplify the expression, first multiply 6.4 by 2.8 to get 17.92. Then, divide the result by 0.4 to find the final answer. Therefore, (6.4)(2.8) ÷ 0.4 equals 44.8. Choices A, B, and C are incorrect because they do not represent the correct result of the given expression.

3. What is the value of the sum of 0.75 and 0.625?

• A. 0.875
• B. 1.375
• C. 1.625
• D. 0.125

Correct answer: B

Rationale: Adding 0.75 and 0.625 gives: 0.75+0.625=1.375.

4. A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

• A. 48
• B. 30
• C. 42
• D. 36

Correct answer: D

Rationale: The percentage of blue gumballs is 35% (100% - 20% - 30% - 5% - 10% = 35%). If there are 120 gumballs, 35% of that is 42 blue gumballs. Since 5% are yellow gumballs, which is 6 gumballs, the difference between 42 blue gumballs and 6 yellow gumballs is 36 more blue gumballs. Therefore, the correct answer is 36. Choice A (48) is incorrect as it miscalculates the difference. Choice B (30) is incorrect as it does not consider the correct percentage of blue gumballs. Choice C (42) is incorrect as it miscalculates the difference between blue and yellow gumballs.

5. What is a common denominator?

• A. A shared multiple of two denominators
• B. A shared factor of two numerators
• C. A number that is the same in all fractions
• D. A number that divides evenly into both fractions

Correct answer: A

Rationale: A common denominator is a shared multiple of the denominators in a set of fractions. It is necessary when adding or subtracting fractions to have a common denominator to ensure that the fractions can be combined accurately. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect because while the common denominator is the same in all fractions being added or subtracted, it is not necessarily a number that is the same in all fractions. Choice D is incorrect because a common denominator is a multiple of the denominators, not a number that divides evenly into both fractions.

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