Nursing Elites

1. 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.

2. How many pints are in 56 ounces?

• A. 3.5 pints
• B. 4 pints
• C. 3 pints
• D. 4.5 pints

Correct answer: A

Rationale: To convert ounces to pints, you need to know that 1 pint is equivalent to 16 ounces. Therefore, to find how many pints are in 56 ounces, you divide 56 by 16, which equals 3.5 pints. Hence, the correct answer is 3.5 pints. Choice B, 4 pints, is incorrect because it doesn't account for the conversion factor of 16 ounces per pint. Choice C, 3 pints, is incorrect as it is less than the actual conversion result. Choice D, 4.5 pints, is incorrect as it overestimates the number of pints in 56 ounces.

3. Solve for y if y = 3: 4y + 21/y

• A. 19
• B. 7.7
• C. 23/3
• D. 11

Correct answer: A

Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.

4. Add: 1.332 + 0.067

• A. 1.399
• B. 1.4
• C. 1.402
• D. 1.5

Correct answer: A

Rationale: To find the sum of 1.332 and 0.067, add the two numbers correctly: 1.332 + 0.067 = 1.399. Therefore, the correct answer is A. Choice B (1.4) is incorrect because it rounds down the sum, not considering the precise value. Choice C (1.402) is incorrect as it results from adding 1.332 and 0.070 instead of 0.067. Choice D (1.5) is not the correct sum of the given numbers.

5. Add 2/3 + 4/9.

• A. 8/15
• B. 1
• C. 10/9
• D. 1/2

Correct answer: C

Rationale: To add the fractions, first find a common denominator. The least common denominator between 3 and 9 is 9. Convert 2/3 to 6/9 then add 6/9 + 4/9: = 10/9

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