Nursing Elites

1. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?

• A. 36 cm
• B. 46 cm
• C. 51 cm
• D. 56 cm

Correct answer: A

Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.

2. Calculate: (88)(7.08) =

• A. 862.5
• B. 88.040
• C. 64.252
• D. 623.04

Correct answer: D

Rationale: To find the product of 88 and 7.08, simply multiply the two numbers: 88 x 7.08 = 623.04. Therefore, the correct answer is D. Choices A, B, and C are incorrect because they do not result from the correct multiplication of 88 and 7.08.

3. A decorative globe has a diameter of 25cm. What is its total surface area?

• A. 1570 sq cm
• B. 1963 sq cm
• C. 2513 sq cm
• D. 3142 sq cm

Correct answer: B

Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.

4. What is the result of dividing 3.44 by 0.6 rounded off to the nearest whole number?

• A. 0
• B. 6
• C. 11
• D. 2

Correct answer: B

Rationale: To find the result of dividing 3.44 by 0.6, you perform the division operation: 3.44 ÷ 0.6 = 5.73. When rounded off to the nearest whole number, 5.73 becomes 6. Therefore, the correct answer is 6. Choice A is incorrect as the result is not 0. Choice C is incorrect as it is not the closest whole number to 5.73. Choice D is incorrect as it does not reflect the accurate division result.

5. Solve for x: 7:42 :: 4:x

• A. 16
• B. 24
• C. 48
• D. 12

Correct answer: B

Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.

Similar Questions