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. What is (12/15) ÷ (3/5) = ?

• A. 1 1/3
• B. 1 2/3
• C. 2 1/3
• D. 1

Correct answer: A

Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.

3. If Bill has 5.5 vacation days left for the rest of the year and 3.25 sick days left, how many days will he have off work if he uses all of this time?

• A. 8.75
• B. 7.75
• C. 9
• D. 6.75

Correct answer: A

Rationale: To calculate the total days off, you need to sum up the remaining vacation days and sick days. 5.5 vacation days + 3.25 sick days = 8.75 days off. Therefore, the correct answer is A. Choice B (7.75) is incorrect because it doesn't account for all available days off. Choice C (9) is incorrect as it overestimates the total days off. Choice D (6.75) is incorrect as it underestimates the total days off.

4. What is the result of subtracting 9.99 from 12.02?

• A. 2.03
• B. 2.21
• C. 3.17
• D. 7.97

Correct answer: A

Rationale: The correct subtraction is 12.02 - 9.99 = 2.03. Therefore, the correct answer is A. Choice B, 2.21, is incorrect as it does not result from the given subtraction. Choice C, 3.17, is also incorrect. Choice D, 7.97, is incorrect as well. Thus, A is the only correct answer.

5. Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.

• A. 3 & 39/40
• B. 3 & 22/23
• C. 22/23
• D. 2 & 39/40

Correct answer: A

Rationale: To add fractions, find a common denominator, which in this case is 40. Convert each fraction to have the common denominator: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 48/40. Add these fractions to get 119/40. Simplify this improper fraction to a mixed number, which is 3 & 39/40. Choice B and C are incorrect as they do not represent the sum of the fractions. Choice D is incorrect; the whole number part should be 3, not 2.

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