Nursing Elites

1. Arrange the following fractions from least to greatest: 2/3, 1/2, 5/8, 7/9.

• A. 7/9, 5/8, 2/3, 1/2
• B. 1/2, 2/3, 5/8, 7/9
• C. 1/2, 5/8, 2/3, 7/9
• D. 7/9, 2/3, 5/8, 1/2

Correct answer: C

Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.

2. What defines rational and irrational numbers?

• A. Any number that can be expressed as a fraction; any number that cannot be expressed as a fraction
• B. Any number that terminates or repeats; any number that does not terminate or repeat
• C. Any whole number; any decimal
• D. Any terminating decimal; any repeating decimal

Correct answer: A

Rationale: Rational numbers are those that can be written as a simple fraction, including whole numbers and decimals that either terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as fractions. Choice B is incorrect because not all rational numbers necessarily terminate or repeat. Choice C is incorrect as it oversimplifies the concept of rational and irrational numbers by only considering whole numbers and decimals. Choice D is incorrect as it inaccurately defines rational and irrational numbers solely based on decimals terminating or repeating, excluding the broader category of fractions.

3. Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, what is the amount of yogurt in their dessert?

• A. 6 oz
• B. 5.5 oz
• C. 3 oz
• D. 3.5 oz

Correct answer: A

Rationale: The ratio 4:3 implies that for every 4 oz of yogurt, there are 3 oz of toppings. To find the amount of yogurt when the friend has 4.5 oz of toppings, we use the proportion: (4/3) × 4.5 = 6 oz. Therefore, the amount of yogurt in their dessert is 6 oz. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given ratio.

4. What is the difference between two negative numbers?

• A. Negative number
• B. Positive number
• C. Zero
• D. Not enough information

Correct answer: B

Rationale: The correct answer is B: 'Positive number.' When you subtract one negative number from another negative number, the result can be a positive number. For example, the difference between -5 and -3 is 2, which is a positive number. Choice A, 'Negative number,' is incorrect because the result of subtracting two negative numbers can be positive. Choice C, 'Zero,' is incorrect because the difference between two negative numbers is not always zero. Choice D, 'Not enough information,' is incorrect because there is enough information to determine that the difference between two negative numbers can be a positive number.

5. If Sarah reads at an average rate of 21 pages in four nights, how long will it take her to read 140 pages?

• A. 6 nights
• B. 26 nights
• C. 8 nights
• D. 27 nights

Correct answer: D

Rationale: If Sarah reads 21 pages in four nights, she reads at a rate of 21 / 4 = 5.25 pages per night. To read 140 pages, she would need 140 / 5.25 = 26.67 nights. Since she cannot read a fraction of a night, it would take her 27 nights to read 140 pages, making option D the correct answer. Option A is incorrect as it does not accurately reflect the calculation. Option B is incorrect as it does not consider the fractional part of the calculation, resulting in an inaccurate answer. Option C is incorrect as it does not align with the correct calculation based on Sarah's reading rate.

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