Nursing Elites

1. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?

• A. -5
• B. i^5
• C. 5√-1
• D. 1/5i

Correct answer: C

Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.

2. How many kilograms are there in 11 pounds?

• A. 5 kilograms
• B. 5.5 kilograms
• C. 22.2 kilograms
• D. 24.2 kilograms

Correct answer: B

Rationale: To convert pounds to kilograms, you can use the conversion factor: 1 pound is approximately equal to 0.453592 kilograms. Therefore, 11 pounds is equal to 11 * 0.453592 = 4.989512, which is approximately 5.5 kilograms. The correct answer is 5.5 kilograms. Choice A is incorrect as it rounds down and doesn't account for the decimals in the conversion. Choices C and D are significantly higher than the correct answer and are clearly incorrect conversions.

3. 5 1\3 + 3 1\2.

• A. 8 5/6
• B. 9
• C. 7
• D. 8

Correct answer: A

Rationale: 5 1\3 + 3 1\2 equals 8 5\6.

4. In a scale drawing for a toy rocket, 1 inch = 6 inches. If the rocket is 6 inches tall on the drawing, how tall will it be in reality?

• A. 1 foot
• B. 6 feet
• C. 1 yard
• D. 2 yards

Correct answer: B

Rationale: In the scale drawing, 1 inch represents 6 inches in reality. If the rocket is 6 inches tall on the drawing, the actual height of the rocket would be 6 inches x 6 = 36 inches, which is equal to 3 feet or 1 yard. Therefore, the correct answer is 6 feet. Choice A is incorrect because the actual height is more than 1 foot. Choice C is incorrect as 36 inches is equivalent to 1 yard. Choice D is incorrect because 36 inches is not equal to 2 yards.

5. A decorative box has a rectangular base (20cm by 15cm) and a hemispherical top with the same diameter as the base. What is the total surface area of the box (excluding the base)?

• A. 825 sq cm
• B. 1075 sq cm
• C. 1325 sq cm
• D. 1575 sq cm

Correct answer: C

Rationale: To find the total surface area of the box excluding the base, calculate the lateral surface area of the rectangular base and the surface area of the hemisphere. The lateral surface area of the rectangular base is 2(20cm x 15cm) = 600 sq cm. The surface area of the hemisphere is 2πr^2, where r is half the diameter of the base, so r = 10cm. Thus, the surface area of the hemisphere is 2π(10cm)^2 = 200π sq cm ≈ 628.32 sq cm. Add the lateral surface area of the base and the surface area of the hemisphere: 600 sq cm + 628.32 sq cm ≈ 1228.32 sq cm. Therefore, the total surface area of the box is approximately 1228.32 sq cm, which is closest to 1325 sq cm (Choice C). Choices A, B, and D are incorrect as they do not represent the accurate calculation of the total surface area of the box.

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