Nursing Elites

1. Find the area in square centimeters of a circle with a diameter of 16 centimeters. Use 3.14 for π.

• A. 25.12
• B. 50.24
• C. 100.48
• D. 200.96

Correct answer: D

Rationale: The formula for the area of a circle is: Area = π x (radius²). Given: Diameter = 16 cm, so Radius = Diameter / 2 = 16 / 2 = 8 cm. Now, calculate the area using π = 3.14: Area = 3.14 x (8²) = 3.14 x 64 = 200.96 cm². The correct answer is D (200.96 cm²) as it correctly calculates the area of the circle. Choices A, B, and C are incorrect as they do not represent the accurate area of the circle based on the given diameter and π value.

2. 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.

3. Solve for x: 3(x - 1) = 2(3x - 9)

• A. x = 2
• B. x = 8/3
• C. x = -5
• D. x = 5

Correct answer: D

Rationale: To solve the equation 3(x - 1) = 2(3x - 9), first distribute and simplify both sides to get 3x - 3 = 6x - 18. Next, subtract 3x from both sides to get -3 = 3x - 18. Then, add 18 to both sides to obtain 15 = 3x. Finally, divide by 3 to find x = 5. Therefore, the correct answer is x = 5. Choices A, B, and C are incorrect because they do not represent the correct solution to the given equation after proper algebraic manipulation.

4. Shawna buys 5.0 gallons of paint. If she uses 2.5 gallons of it on the first day, how much does she have left?

• A. 2.0 gallons
• B. 2.5 gallons
• C. 3.0 gallons
• D. 1.5 gallons

Correct answer: B

Rationale: To find the remaining paint, subtract the amount used from the total gallons bought. 5.0 - 2.5 = 2.5 gallons. Therefore, Shawna has 2.5 gallons of paint left after using 2.5 gallons on the first day. Choices A, C, and D are incorrect because they do not accurately represent the amount of paint left after using 2.5 gallons.

5. Which of the following lists is in order from least to greatest? (1/7), 0.125, (6/9), 0.60

• A. (1/7), 0.125, (6/9), 0.60
• B. (1/7), 0.125, 0.60, (6/9)
• C. 0.125, (1/7), 0.60, 6/9
• D. 0.125, (1/7), (6/9), 0.60

Correct answer: C

Rationale: To determine the order from least to greatest, convert all fractions to decimals and compare them. Converting the fractions: (1/7) ≈ 0.14, (6/9) ≈ 0.67. The decimals in order from least to greatest are: 0.125 < 0.14 < 0.60 < 0.67. Therefore, the correct order is 0.125, (1/7), 0.60, 6/9, making choice C the correct answer. Choice A is incorrect as it lists (1/7) before 0.125. Choice B is incorrect as it places 0.60 before (6/9). Choice D is incorrect as it lists (6/9) before 0.60.

Similar Questions