Nursing Elites

1. University Q has an extremely competitive nursing program. Historically, 3/4 of the students in each incoming class major in nursing, but only 1/5 of those who major in nursing complete the program. If this year’s incoming class has 100 students, how many will complete the nursing program?

• A. 75
• B. 20
• C. 15
• D. 5

Correct answer: C

Rationale: Out of the 100 students, 3/4 major in nursing, which equals 75 students. However, only 1/5 of these 75 students will complete the program. Calculating 1/5 of 75 gives us 15 students who will complete the nursing program. Therefore, the correct answer is 15. Choice A (75) is incorrect as it represents the total number of students majoring in nursing, not completing the program. Choices B (20) and D (5) are incorrect calculations and do not align with the information provided in the question.

2. Which statement about the following set is true? {60, 5, 18, 20, 37, 37, 11, 90, 72}

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

Correct answer: D

Rationale: To find the median, we first need to arrange the set in ascending order: {5, 11, 18, 20, 37, 37, 60, 72, 90}. The median is the middle value, which is 37 in this case. The mean is calculated by adding all numbers and dividing by the total count, which gives a mean greater than 37. Therefore, the statement that the median is less than the mean is correct. Choice A is incorrect because the median and mean are not equal in this set. Choice B is incorrect as the mean is greater than the mode in this set. Choice C is incorrect as the mode is 37, which is equal to the median, not greater.

3. Sarah works part-time and earns $12 per hour. If she works 20 hours a week, how much will she have saved in 5 weeks if she spends $50 per week on personal expenses?

• A. $600
• B. $750
• C. $500
• D. $650

Correct answer: C

Rationale: To find out how much Sarah saves in 5 weeks, first calculate her weekly earnings: $12/hour × 20 hours/week = $240/week. Then, subtract her weekly personal expenses from her earnings: $240/week - $50/week = $190/week saved. Over 5 weeks, she will save $190/week × 5 weeks = $950. However, none of the provided answer choices match $950. The closest option is $500, which is likely a mistake in the answer choices. The correct answer should have been $950 based on the calculated savings over 5 weeks.

4. How many cubic inches of water could the aquarium hold if it were filled completely? (Dimensions: 30 in × 10 in × 12 in)

• A. 3600 cubic inches
• B. 52 cubic inches
• C. 312 cubic inches
• D. 1144 cubic inches

Correct answer: A

Rationale: To find the volume of the aquarium, we multiply its length, width, and height. The formula for the volume of a rectangular solid is V = l × w × h. Substituting the given dimensions, we get V = 30 × 10 × 12 = 3600 cubic inches. Therefore, the aquarium can hold 3600 cubic inches of water. Choice B (52 cubic inches), Choice C (312 cubic inches), and Choice D (1144 cubic inches) are incorrect as they do not correctly calculate the volume of the aquarium based on its dimensions.

5. If the price of a shirt was originally $30 and it is now being sold at a 20% discount, what is the sale price of the shirt?

• A. $24
• B. $25
• C. $26
• D. $28

Correct answer: A

Rationale: To find the discount amount, calculate 20% of $30: 0.20 × $30 = $6. Subtract the discount from the original price to get the sale price: $30 - $6 = $24. Therefore, the correct answer is $24. Choices B, C, and D are incorrect as they do not reflect the correct calculation of applying a 20% discount to the original price of $30.

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