Nursing Elites

1. What is the median of the set of numbers {2, 3, 9, 12, 15}?

• A. 3
• B. 9
• C. 12
• D. 15

Correct answer: B

Rationale: The median represents the middle value in an ordered set of numbers. To find the median, the numbers need to be arranged in ascending order: {2, 3, 9, 12, 15}. Since the set has an odd number of elements, the median will be the middle value, which is 9 in this case. Choice A (3) and Choice D (15) are incorrect as they do not fall in the middle of the ordered set. Choice C (12) is also incorrect as it is not the middle value in this particular set.

2. If 3/4 of students at a university major in nursing and 1/3 of those students complete the program, how many will complete the program if 100 students are in the incoming class?

• A. 75
• B. 20
• C. 15
• D. 5

Correct answer: C

Rationale: Out of the 100 students, 3/4 (75 students) major in nursing. Since 1/3 of those students complete the program, 1/3 * 75 = 25 students will complete the program. Therefore, 25 students out of the 100 incoming class will complete the program, making choice C (15) the correct answer. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the given information.

3. A gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. How many square inches of wrapping paper are needed to wrap the box?

• A. 56
• B. 244
• C. 488
• D. 672

Correct answer: C

Rationale: To find the surface area of a rectangular prism, you use the formula SA = 2lw + 2wh + 2hl, where l is the length, w is the width, and h is the height. Substituting the given dimensions, the calculation would be SA = 2(14)(6) + 2(6)(8) + 2(8)(14) = 168 + 96 + 224 = 488 square inches. Therefore, 488 square inches of wrapping paper are needed to wrap the box. Choice A (56), Choice B (244), and Choice D (672) are incorrect because they do not represent the correct surface area calculation for the given box dimensions.

4. What is the simplified form of the expression (x^2 + 2x)/(x)?

• A. x + 2
• B. x^2 + 2
• C. x(x + 2)
• D. 1 + 2/x

Correct answer: A

Rationale: To simplify the expression (x^2 + 2x)/(x), we factor out x from the numerator to get x(x + 2) and then cancel the x in the denominator. This simplifies to x + 2, making choice A the correct answer. Choice B (x^2 + 2) is incorrect as it does not account for the division by x. Choice C (x(x + 2)) is also incorrect as it represents the factored form before cancellation. Choice D (1 + 2/x) is incorrect as it does not simplify the expression correctly.

5. Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?

• A. 1/4
• B. 13/60
• C. 47/60
• D. 1/4

Correct answer: C

Rationale: To find the fourth person's share, subtract the fractions paid by the first three people from the total bill (1). The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. Adding these fractions gives 7/15. Subtracting this from 1 gives the fourth person's share as 8/15, which simplifies to 4/5. Therefore, the fourth person pays 4/5 of the bill. Option A (1/4) is incorrect because it does not consider the fractions paid by the first three people. Option B (13/60) is incorrect as it is not the remainder after subtracting the first three fractions from 1. Option D (1/4) is a duplicate of Option A and is also incorrect.

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