Nursing Elites

1. Solve for x: x + 44 / 2x = 11.

• A. 13
• B. 33
• C. 55
• D. 2.5

Correct answer: A

Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.

2. What is 25% of 400?

• A. 800
• B. 10,000
• C. 200
• D. 100

Correct answer: D

Rationale: To find 25% of a number, multiply the number by 0.25 (since 25% is the same as 25/100 or 0.25). In this case, 400 x 0.25 = 100. Therefore, 25% of 400 equals 100. Choice A, 800, is incorrect because it is the result of multiplying 400 by 2, not by 0.25. Choice B, 10,000, is also incorrect as it is significantly higher than the correct answer. Choice C, 200, is incorrect as it is the result of dividing 400 by 2, not by 0.25.

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. 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.

5. How many meters are in 2 kilometers?

• A. 100 meters
• B. 200 meters
• C. 2000 meters
• D. 3000 meters

Correct answer: C

Rationale: 1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.

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