Nursing Elites

1. A taxi service charges $50 for the first mile, $50 for each additional mile, and 20¢ per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 6 miles to her mother's place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?

• A. $650
• B. $710
• C. $701.80
• D. $650

Correct answer: C

Rationale: To calculate the fare, first, determine the cost for the distance traveled. Joan traveled a total of 14 miles (8 miles to the flower shop + 6 miles to her mother's place). The first mile costs $50, and the remaining 13 miles cost $50 each, totaling $700 for the distance. Additionally, the driver waited for 9 minutes, which incurs an additional cost of $1.80 (9 minutes x $0.20 per minute). Therefore, the total fare is calculated as: Cost for distance + Cost for waiting time = $50 + $650 + $1.80 = $701.80. Choice A, $650, is incorrect as it does not consider the waiting time cost. Choice B, $710, is incorrect as it does not accurately calculate the total fare. Choice D, $650, is incorrect for the same reason as Choice A. The correct total fare is $701.80.

2. Which number is larger, 0.5 or 1/3?

• A. 0.5
• B. 1/3
• C. They are equal
• D. Cannot be determined

Correct answer: A

Rationale: To compare 0.5 and 1/3, we can convert 0.5 to a fraction, which is 1/2. When comparing 1/2 and 1/3, we find that 1/2 is greater than 1/3. Therefore, 0.5 is larger than 1/3. Choice B is incorrect as 1/3 is smaller. Choice C is incorrect as the numbers are not equal. Choice D is incorrect as a clear comparison can be made.

3. Which of the following statements is true?

• A. The mean is less than the median
• B. The mode is greater than the median
• C. The mode is less than the mean, median, and range
• D. The mode is equal to the range

Correct answer: A

Rationale: The mean is the average of a set of numbers, while the median is the middle value when the numbers are arranged in order. If a set of numbers is skewed to one side with some outliers, the mean can be influenced by these extreme values, causing it to be greater or less than the median. In cases of skewed distribution, the mean typically shifts towards the direction of the outliers, making it less than the median. Choice B is incorrect because the mode, which is the most frequent number in a dataset, may or may not be greater than the median. Choice C is incorrect because the mode can be greater than the mean or median, depending on the data. Choice D is incorrect because the mode, representing the most frequent value, has no direct relationship with the range, which is the difference between the highest and lowest values in a dataset.

4. Prizes are to be awarded to the best pupils in each class of an elementary school. The number of students in each grade is shown in the table, and the school principal wants the number of prizes awarded in each grade to be proportional to the number of students. If there are twenty prizes, how many should go to fifth-grade students? Grade 1 2 3 4 5 Students 35 38 38 33 36

• A. 5
• B. 4
• C. 7
• D. 3

Correct answer: C

Rationale: To determine how many prizes should be awarded to 5th-grade students, we need to set up the proportion of the number of 5th-grade students to the total number of students in the school. The total number of students is 35 + 38 + 38 + 33 + 36 = 180 students. To find the proportion of 5th-grade students, it would be 36/180 = 0.2. Since there are 20 prizes to be awarded, multiplying 0.2 by 20 gives us 4, which means 4 prizes should go to the 5th-grade students. Therefore, the correct answer is 4. Choice A (5) is incorrect as it does not align with the proportional distribution. Choice B (4) is the correct answer, as calculated. Choice C (7) is incorrect as it exceeds the total number of prizes available. Choice D (3) is incorrect as it does not match the proportional distribution based on the number of students.

5. What are all the factors of 12?

• A. 12, 24, 36
• B. 1, 2, 4, 6, 12
• C. 12, 24, 36, 48
• D. 1, 2, 3, 4, 6, 12

Correct answer: D

Rationale: The factors of 12 are numbers that divide evenly into 12 without leaving a remainder. The correct factors of 12 are 1, 2, 3, 4, 6, and 12. Choice A (12, 24, 36) is incorrect as only 12 is a factor of 12. Choice B (1, 2, 4, 6, 12) includes all the correct factors of 12. Choice C (12, 24, 36, 48) is incorrect as 24, 36, and 48 are not factors of 12.

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