Nursing Elites

1. Out of 9 trips, a person chooses the longest route for 3 of them. What percentage of their trips is the longest route?

• A. 0.25
• B. 0.33
• C. 0.5
• D. 0.75

Correct answer: B

Rationale: To find the percentage of trips where the person chose the longest route, divide the number of longest route trips (3) by the total number of trips (9) and multiply by 100. This gives (3/9) * 100 = 33.33%, which can be rounded to 33%. Therefore, the correct answer is B. Choice A (0.25), C (0.5), and D (0.75) are incorrect because they do not accurately represent the percentage of trips where the longest route was chosen based on the given information.

2. The Morgan family lives at 5487 South Elm Street. On which day of the week will they be able to water their lawn?

• A. Tuesday
• B. Wednesday
• C. Thursday
• D. Saturday

Correct answer: C

Rationale: Based on the provided water schedule for addresses in the town of Audley, odd-numbered addresses ending in 7 and 3, like 5487 South Elm Street, are allowed to water their lawns on Thursdays. Therefore, the Morgan family will be able to water their lawn on Thursday. Choice A (Tuesday), Choice B (Wednesday), and Choice D (Saturday) are incorrect as they do not align with the watering schedule for odd-numbered addresses as per the town's guidelines.

3. To which section of the library should Jorgen go to find out more about the current applications of the sieve of Eratosthenes?

• A. 000
• B. 100
• C. 400
• D. 500

Correct answer: D

Rationale: Jorgen should go to the 500 section of the library, which covers science and mathematics, to find out more about the current applications of the sieve of Eratosthenes. The sieve of Eratosthenes is a mathematical tool used to determine prime numbers, making the science and mathematics section the most appropriate choice. Philosophy and psychology (100), languages (400), and computer science (000) are not the primary areas where one would typically find information on the applications of this mathematical tool.

4. At the peak of its trajectory, what force is acting on a ball thrown upwards?

• A. Gravity only
• B. Gravity and air resistance only
• C. Neither gravity nor air resistance
• D. All of the above

Correct answer: A

Rationale: At the peak of its trajectory, the ball momentarily stops moving upwards before it starts to fall back down. At this point, the only force acting on the ball is gravity, pulling it back towards the ground. Air resistance is negligible at the peak of the trajectory as the ball is momentarily stationary. Therefore, the correct answer is 'Gravity only.' Choices B, C, and D are incorrect. Option B is incorrect because air resistance is minimal when the ball is at its highest point and its velocity is nearly zero. Option C is incorrect as gravity is the only significant force acting on the ball at that instant. Option D is incorrect since air resistance is not a significant factor at the peak of the trajectory.

5. Simplify the expression. Which of the following is correct? (52(3) + 3(-2)^2 / 4 + 3^2 - 2(5 - 8))

• A. 9/8
• B. 87/19
• C. 9
• D. 21/2

Correct answer: B

Rationale: To simplify the expression, apply the order of operations (PEMDAS). Begin by squaring -2 to get 4. Then perform the multiplication and subtraction within parentheses: 52(3) + 3(4)/4 + 9 - 2(5 - 8) = 156 + 12/4 + 9 - 2(3) = 156 + 3 + 9 - 6 = 168 + 3 - 6 = 171 - 6 = 165. Therefore, the correct simplified expression is 165, which is equivalent to 87/19. Choices A, C, and D are incorrect because they do not represent the accurate simplification of the given expression.

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