Nursing Elites

1. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?

• A. (2 + 3)^2
• B. 5 x 7 + 2
• C. 10^2 - 4^2
• D. (8 - 1) x 3

Correct answer: C

Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.

2. Multiply: 15 × 14 = and express the result in decimal form.

• A. 0.0021
• B. 0.021
• C. 0.21
• D. 2.1

Correct answer: D

Rationale: To find the product of 15 and 14, you multiply the two numbers together. 15 multiplied by 14 equals 210. When written in decimal form, it is 2.1. Therefore, the correct answer is 2.1, which corresponds to option D. Choices A, B, and C are incorrect as they reflect values much smaller than the actual product of 15 and 14, which is 210, equivalent to 2.1 in decimal form.

3. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?

• A. 12.8
• B. 23
• C. 25.6
• D. 57.5

Correct answer: C

Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.

4. What is the result of adding 1/2 + 4/5?

• A. 1 3/10
• B. 1/2/2024
• C. 1 2/5
• D. 1 1/5

Correct answer: A

Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 10. So, 1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10. Therefore, the correct answer is A: 1 3/10. Choice B, 1/2/2024, is incorrect as it does not represent the sum of the fractions given. Choice C, 1 2/5, is incorrect as it does not match the sum calculated. Choice D, 1 1/5, is incorrect as it does not reflect the correct sum of the fractions provided.

5. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?

• A. 675 cu cm
• B. 1350 cu cm
• C. 2700 cu cm
• D. 4050 cu cm

Correct answer: C

Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.

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