Nursing Elites

1. A rectangular field has an area of 1452 square feet. If the length is three times the width, what is the width of the field?

• A. 22 feet
• B. 44 feet
• C. 242 feet
• D. 1452 feet

Correct answer: A

Rationale: To find the width of the rectangular field, use the formula for the area of a rectangle: A = length × width. Given that the length is three times the width, you have A = 3w × w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet. Choice B, 44 feet, is incorrect because it represents the length, not the width. Choice C, 242 feet, is incorrect as it is not a factor of the area. Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

2. Cora skated around the rink 27 times but fell 20 times. What percentage of the time did she not fall?

• A. 0.37
• B. 0.74
• C. 0.26
• D. 0.15

Correct answer: C

Rationale: To find the percentage of the time Cora did not fall, subtract the number of times she fell (20) from the total number of times she skated around the rink (27). This gives us 27 - 20 = 7 times she did not fall. To express this as a percentage, calculate (7/27) * 100% = 25.93%, which is approximately 26%. Therefore, the correct answer is 0.26 (C). Choice A (0.37), Choice B (0.74), and Choice D (0.15) are incorrect as they do not represent the percentage of the time Cora did not fall based on the information provided.

3. What is the result when the number 1 is raised to ANY power?

• A. One
• B. Itself
• C. Zero
• D. Two

Correct answer: A

Rationale: The correct answer is A: 'One.' When the number 1 is raised to any power, the result is always 1. This is a fundamental mathematical property where any number raised to the power of 0 equals 1. Choices B, C, and D are incorrect. Choice B 'Itself' is vague and does not provide a clear mathematical result. Choice C 'Zero' is incorrect as 1 raised to any power is not zero. Choice D 'Two' is incorrect as the result of raising 1 to any power is always 1, not 2.

4. The graph below represents the amount of rainfall in a particular state by month. What is the total rainfall for the months May, June, and July?

• A. 9.0 inches
• B. 8.4 inches
• C. 7.5 inches
• D. 10.5 inches

Correct answer: A

Rationale: To calculate the total rainfall for May, June, and July, we add the rainfall amounts for each month: 3.2 inches (May) + 2.5 inches (June) + 3.3 inches (July) = 9.0 inches. Therefore, the correct answer is A. Choice B (8.4 inches) is incorrect as it does not account for the correct sum of rainfall for the specified months. Choice C (7.5 inches) is incorrect as it does not include the accurate total rainfall for May, June, and July. Choice D (10.5 inches) is incorrect as it provides a total that exceeds the actual combined rainfall for the given months.

5. Express the solution to the following problem in decimal form:

• A. 0.042
• B. 84%
• C. 0.84
• D. 0.42

Correct answer: C

Rationale: The correct answer is C: 0.84. To convert a percentage to a decimal, you divide the percentage value by 100. In this case, 84% divided by 100 equals 0.84. Choice A, 0.042, is not the correct conversion of 84%. Choice B, 84%, is already in percentage form and needs to be converted to a decimal. Choice D, 0.42, is not the correct conversion of 84% either. Therefore, the correct decimal form of 84% is 0.84.

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