Nursing Elites

1. What is the result of adding 1/6 and 1/2, expressed in reduced form?

• A. 9/7
• B. 1/3
• C. 31/36
• D. 3/5

Correct answer: B

Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.

2. Which of the following is listed in order from least to greatest?

• A. -2 3/4, -2 7/8, -1/5, 2/5, 1/8
• B. -1/5, 1/8, 2/5, -2 3/4, -2 7/8
• C. -2 7/8, -2 3/4, -1/5, 1/8, 2/5
• D. 1/8, 2/5, -1/5, -2 7/8, -2 3/4

Correct answer: C

Rationale: To determine the order from least to greatest, we can convert all fractions and mixed numbers to decimals or use a least common denominator. Converting the fractions in Choice C to decimals, we get -2.875, -2.75, -0.2, 0.125, and 0.4 when reading from left to right. Negative integers with larger absolute values are less than negative integers with smaller absolute values. Therefore, the correct answer is Choice C. Choices A, B, and D are incorrect because they do not present the numbers in the correct order from least to greatest when converted to decimals or compared using common denominators.

3. What is the result of multiplying (3/5) by (5/8)?

• A. 3/8
• B. 3/5
• C. 15/40
• D. 3/30

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. For (3/5) * (5/8), you get (3*5) / (5*8) = 15 / 40, which simplifies to 3/8. Therefore, the correct answer is A. Choice B (3/5) is incorrect as it is one of the original fractions being multiplied. Choice C (15/40) is the result of the multiplication but not simplified to its lowest terms. Choice D (3/30) is incorrect as the numerator is not the result of multiplying 3 and 5 together.

4. If a tree grows an average of 4.2 inches in a day, what is the rate of change in its height per month? Assume a month is 30 days.

• A. 0.14 inches per month
• B. 4.2 inches per month
• C. 34.2 inches per month
• D. 126 inches per month

Correct answer: D

Rationale: The tree grows at an average rate of 4.2 inches per day. To find the rate of change per month, multiply the daily growth rate by the number of days in a month (30 days): 4.2 inches/day × 30 days = 126 inches per month. Therefore, the rate of change in the tree's height is 126 inches per month, making option D the correct answer. Option A is incorrect because it miscalculates the rate based on daily growth. Option B is incorrect as it doesn't account for the total days in a month. Option C is incorrect as it overestimates the monthly growth rate.

5. Simplify the following expression: 0.0178 × 2.401

• A. 2.0358414
• B. 0.0427378
• C. 0.2341695
• D. 0.348324

Correct answer: B

Rationale: To simplify the expression 0.0178 × 2.401, you multiply the two numbers to get the result. Therefore, 0.0178 × 2.401 = 0.0427378. Choice A (2.0358414), Choice C (0.2341695), and Choice D (0.348324) are incorrect as they do not represent the correct result of the multiplication operation.

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