Nursing Elites

1. Rectangle: A picture frame measures 15cm by 20cm. What is its perimeter?

• A. 30cm
• B. 55cm
• C. 65cm
• D. 75cm

Correct answer: C

Rationale: To find the perimeter of a rectangle, you add the lengths of all sides. The formula for the perimeter of a rectangle is 2 * (length + width). In this case, the length is 15cm and the width is 20cm. Therefore, the perimeter = 2 * (15cm + 20cm) = 65cm. Choice A (30cm), Choice B (55cm), and Choice D (75cm) are incorrect as they do not correctly calculate the perimeter of the given rectangle.

2. In a scale drawing for a garden, 2 cm = 1 m. If the garden measures 8 cm by 10 cm in the drawing, how large will it be in reality?

• A. 2 m by 3 m
• B. 4 m by 5 m
• C. 8 m by 10 m
• D. 16 m by 20 m

Correct answer: C

Rationale: In the scale drawing, 2 cm represents 1 m. To find the actual dimensions of the garden in reality, we need to multiply the dimensions in the drawing by the scale factor. So, 8 cm x 2 = 16 cm in reality (length) and 10 cm x 2 = 20 cm in reality (width). Converting these to meters, the garden will be 16 m by 20 m. Choices A, B, and D are incorrect because they do not correctly apply the scale factor to determine the actual dimensions of the garden.

3. A hospital receives a shipment of vitamin tablets. The hospital ordered 6,000 tablets, but the shipment included 1/5 more tablets than the hospital ordered. How many tablets were in the shipment?

• A. 7,200 tablets
• B. 5,000 tablets
• C. 6,500 tablets
• D. 8,000 tablets

Correct answer: A

Rationale: To find the total tablets in the shipment, first, calculate 1/5 of 6,000: 6,000 * 1/5 = 1,200. Add this to the original order: 6,000 + 1,200 = 7,200 tablets. Therefore, the shipment included 7,200 tablets. Choice B, 5,000 tablets, is incorrect because it does not account for the additional 1/5 of the original order. Choice C, 6,500 tablets, is incorrect as it only considers the original order and not the extra tablets. Choice D, 8,000 tablets, is incorrect as it overestimates the total by not considering the 1/5 more tablets included in the shipment.

4. How many kilometers is equivalent to 200 meters?

• A. 50 kilometers
• B. 20 kilometers
• C. 12 kilometers
• D. 0.2 kilometers

Correct answer: D

Rationale: To convert meters to kilometers, divide the number of meters by 1000, as 1 kilometer is equal to 1000 meters. Therefore, 200 meters is equivalent to 200 / 1000 = 0.2 kilometers. Choices A, B, and C are incorrect because they do not correctly convert meters to kilometers. A provides an answer that would be correct if converting from kilometers to meters. B and C are much larger distances than what 200 meters represent.

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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