Nursing Elites

1. A rectangular solid box has a square base with a side length of 5 feet and a height of h feet. If the volume of the box is 200 cubic feet, which of the following equations can be used to find h?

• A. 5h = 200
• B. 5h² = 200
• C. 25h = 200
• D. h = 200 ÷ 5

Correct answer: C

Rationale: The volume formula for a rectangular solid is V = l × w × h. In this case, the length and width are both 5 feet. Substituting the values into the formula gives V = 5 × 5 × h = 25h = 200. Therefore, h = 200 ÷ 25 = 8. Option A is incorrect because the product of length, width, and height is not directly equal to the volume. Option B is incorrect as squaring the height is not part of the volume formula. Option D is incorrect as it oversimplifies the relationship between height and volume, not considering the base dimensions.

2. Which of the following is equivalent to 3.28?

• A. (328/100)
• B. (41/5)
• C. (3/28)
• D. (7/25)

Correct answer: D

Rationale: To convert a decimal to a fraction, we can treat it as a fraction over 1 and then simplify. For 3.28, it can be written as 3.28/1. To convert this to a fraction, we multiply by 100 to get (328/100). Then, to simplify, we divide both the numerator and denominator by 4 to get (82/25). This simplifies further to (7/25). Therefore, (7/25) is equivalent to 3.28. Choices A, B, and C are incorrect as they do not represent the decimal 3.28.

3. Express as an improper fraction: 8 3/7

• A. 11/7
• B. 21/8
• C. 5/3
• D. 59/7

Correct answer: D

Rationale: To convert the mixed number 8 3/7 to an improper fraction, multiply the whole number (8) by the denominator (7) and add the numerator (3) to get the numerator of the improper fraction. This gives us (8*7 + 3) / 7 = 59/7. Therefore, the correct answer is 59/7. Choice A (11/7), choice B (21/8), and choice C (5/3) are incorrect because they do not correctly convert the mixed number to an improper fraction.

4. Simplify the following expression: 0.0178 × 2.401

• A. 2.0358414
• B. 0.0427378
• C. 0.2341695
• D. 0.348324

Correct answer: B

Rationale: To simplify the expression 0.0178 × 2.401, you multiply the two numbers to get the result. Therefore, 0.0178 × 2.401 = 0.0427378. Choice A (2.0358414), Choice C (0.2341695), and Choice D (0.348324) are incorrect as they do not represent the correct result of the multiplication operation.

5. What is an equivalent fraction?

• A. A fraction that looks different but represents the same value
• B. A fraction that is smaller than another fraction
• C. A fraction that is larger than another fraction
• D. A fraction that has the same numerator as another fraction

Correct answer: A

Rationale: An equivalent fraction is a fraction that may look different in terms of its numerator and denominator but still represents the same value or quantity. This means that when you simplify or expand a fraction, its value remains unchanged. Choice B and C are incorrect because equivalent fractions are not determined by being smaller or larger than another fraction; it is about representing the same quantity. Choice D is incorrect because equivalent fractions may have different numerators as long as the ratio between the numerator and denominator remains the same.

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