Nursing Elites

1. Reduce 5 & 3/4 divided by 1/2.

• A. 5 & 1/2
• B. 2 & 3/8
• C. 18
• D. 11 & 1/2

Correct answer: D

Rationale: To divide mixed numbers, convert them to improper fractions. 5 & 3/4 = 23/4 and 1/2 = 2/1. So, 23/4 ÷ 2/1 = 23/4 * 1/2 = 23/8 = 2 & 7/8. Therefore, 5 & 3/4 divided by 1/2 reduces to 11 & 1/2. Choices A, B, and C are incorrect because they do not represent the correct result of dividing 5 & 3/4 by 1/2.

2. Express the ratio of 25:80 as a percentage.

• A. 31.25%
• B. 34%
• C. 41.25%
• D. 43.75%

Correct answer: A

Rationale: To express the ratio 25:80 as a percentage, follow these steps: First, divide 25 by 80: 25/80 = 0.3125. Then, multiply by 100 to convert to a percentage: 0.3125 × 100 = 31.25%. Therefore, the ratio 25:80 is equivalent to 31.25%. Choice A is correct. Choice B (34%) is incorrect because it does not accurately represent the ratio 25:80. Choice C (41.25%) and Choice D (43.75%) are also incorrect as they do not match the calculated percentage for the given ratio.

3. 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.

4. Convert 5/8 to a decimal.

• A. 0.625
• B. 0.5
• C. 0.4
• D. 0.75

Correct answer: A

Rationale: To convert 5/8 to a decimal, divide 5 by 8: 5 ÷ 8 = 0.625. The correct answer is A (0.625). Choice B (0.5) is incorrect because it represents 1/2. Choice C (0.4) is incorrect because it represents 2/5. Choice D (0.75) is incorrect because it represents 3/4.

5. Multiply: 4/9 × 1 4/5 × 2/5.

• A. 8/25
• B. 1 & 10/19
• C. 7/16
• D. 32/45

Correct answer: A

Rationale: To multiply the fractions, convert the mixed numbers to improper fractions: 1 4/5 = 9/5. Then, multiply the fractions: (4/9) × (9/5) × (2/5) = 8/25. The correct answer is A. Choice B is incorrect as it does not match the result of the multiplication. Choice C is incorrect as it is not the result of multiplying the fractions. Choice D is incorrect as it is not the result of the given multiplication.

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