Nursing Elites

1. 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.

2. A student gets 42 questions out of 48 correct on a quiz. What is the percentage of questions that the student answered correctly?

• A. 1.14%
• B. 82.50%
• C. 85.00%
• D. 87.50%

Correct answer: D

Rationale: To find the percentage of questions answered correctly, divide the number of correct questions by the total number of questions: 42/48 = 0.875. Multiply the result by 100 to express it as a percentage, which gives 87.5%. Therefore, the correct answer is 87.50%. Choice A (1.14%) is incorrect as it does not reflect the correct percentage. Choices B (82.50%) and C (85.00%) are also incorrect as they do not align with the calculation based on the given information.

3. 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.

4. Which of the following lists is in order from least to greatest? 2−1 , −(4/3), (−1)3 , (2/5)

• A. 2−1 , −(4/3), (−1)3 , (2/5)
• B. −(4/3), (−1)3 , 2−1 , (2/5)
• C. −(4/3), (2/5), 2−1 , (−1)3
• D. −(4/3), (−1)3 , (2/5), 2−1

Correct answer: D

Rationale: To determine the correct order from least to greatest, start by simplifying the expressions. 2^(-1) = 1/2 and (-1)^3 = -1. Now, comparing the values, (-4/3) is the most negative, followed by -1, then (2/5), and finally 1/2. Therefore, the correct order is (-4/3), (-1)^3, (2/5), 2^(-1), making choice D the correct answer. Choices A, B, and C are incorrect because they do not follow the correct order from least to greatest as determined by comparing the values of the expressions after simplification.

5. In Mrs. McConnell's classroom, there are 5 students with hazel eyes and 2 students with green eyes out of a total of 30 students. What percentage of the students have either hazel or green eyes?

• A. 0.23
• B. 0.3
• C. 0.47
• D. 0.77

Correct answer: A

Rationale: To calculate the percentage of students with either hazel or green eyes, add the number of students with hazel and green eyes (5 + 2 = 7) and divide by the total number of students (30): 7 ÷ 30 ≈ 0.23 or 23%. The correct answer is A, 0.23, which represents 23% of the total students. Choice B, 0.3, is incorrect as it corresponds to 30%, which is higher than the total number of students. Choice C, 0.47, is incorrect as it represents 47%, which is also higher than the total number of students. Choice D, 0.77, is incorrect as it corresponds to 77%, which is much higher than the total number of students.

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