Nursing Elites

1. Solve for x: 4x - 8 = 16.

• A. x = 7
• B. x = 7
• C. x = 4
• D. x = 6

Correct answer: D

Rationale: To solve the equation 4x - 8 = 16, first, add 8 to both sides to isolate 4x: 4x = 24. Then, divide by 4 to solve for x: x = 6. Therefore, the correct answer is D. Choice A, x = 7, is incorrect as the correct solution is x = 6. Choices B and C are duplicates of choice A and are also incorrect.

2. A pizza has a diameter of 40cm. What is its perimeter (circumference)?

• A. 62.8cm
• B. 125.5cm
• C. 125.6cm
• D. 251.2cm

Correct answer: C

Rationale: Rationale: The correct answer is obtained by applying the formula for the circumference of a circle, which is \(C = \pi \times d\), where \(d\) is the diameter of the circle. By substituting the given diameter of 40cm into the formula and performing the calculation, we find that the circumference of the pizza is 125.6cm.

3. If Gwen's favorite summer drink is 2 parts fruit juice to 3 parts seltzer and she starts with a gallon of fruit juice, how many quarts of seltzer will she need?

• A. 3 quarts
• B. 4.5 quarts
• C. 5 quarts
• D. 6 quarts

Correct answer: D

Rationale: To maintain the ratio of 2 parts fruit juice to 3 parts seltzer, for every 2 parts of fruit juice, Gwen will need 3 parts of seltzer. Since a gallon of fruit juice is equivalent to 4 quarts, she will need 3 quarts of seltzer for every 2 quarts of fruit juice. For 4 quarts of fruit juice, she will require 6 quarts of seltzer. Therefore, Gwen will need 6 quarts of seltzer to make the summer drink for her friends. Choice A (3 quarts) is incorrect because it does not account for the correct ratio. Choice B (4.5 quarts) is incorrect because it is not a whole number and does not align with the ratio provided. Choice C (5 quarts) is incorrect as it does not match the proportional ratio of fruit juice to seltzer required.

4. A female ran a 24-mile course. Her first 6 miles took 1 hour, the second set of 6 miles took 1.2 hours, the third set of 6 miles took 1.5 hours, and the fourth set of 6 miles took 1.6 hours. How long did it take her to complete the course?

• A. 5.3 hours
• B. 4.5 hours
• C. 6 hours
• D. 7 hours

Correct answer: A

Rationale: To find the total time taken, add the time for each segment: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. The other choices are incorrect because they do not accurately reflect the cumulative time calculated based on the given information.

5. If Kevin can wash 30 cars in 15 minutes, how many minutes will it take him to wash 100 cars?

• A. 50 minutes
• B. 55 minutes
• C. 30 minutes
• D. 45 minutes

Correct answer: A

Rationale: To find out how many minutes Kevin will take to wash 100 cars, set up a proportion: 30 cars is to 15 minutes as 100 cars is to x minutes. Cross multiplying gives 30x = 1500. Solving for x, x = 1500 / 30 = 50. Therefore, it will take Kevin 50 minutes to wash 100 cars. Choice A is correct. Choice B, C, and D are incorrect as they do not correctly calculate the time needed based on the given information.

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