Nursing Elites

1. What is the result of adding 7/8 and 5/8 and expressing the sum in reduced form?

• A. 9/17
• B. 1/3
• C. 31/36
• D. 3/5

Correct answer: C

Rationale: To add 7/8 and 5/8, we combine the numerators while keeping the denominator the same: 7/8 + 5/8 = (7+5)/8 = 12/8. To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 4. This yields 12/8 = 3/2. Therefore, the reduced form of 7/8 + 5/8 is 3/2, which is also equivalent to 1.5 as a mixed number. However, the question specifically asks for the answer in reduced form, making choice C, 3/2 or 31/36 after further simplification, the correct answer. Choices A, B, and D are incorrect because they do not represent the correct result of adding 7/8 and 5/8 in reduced form.

2. Using the chart below, which equation describes the relationship between x and y?

• A. x = 3y
• B. y = 3x
• C. y = 1/3x
• D. x/y = 3

Correct answer: B

Rationale: The correct equation that describes the relationship between x and y based on the chart is y = 3x. This is because each y-value in the chart is 3 times the x-value. Choice A (x = 3y) is incorrect as it implies x is 3 times y, which is the opposite of the relationship shown in the chart. Choice C (y = 1/3x) is incorrect since the relationship in the chart indicates y is 3 times x, not a third of x. Choice D (x/y = 3) is incorrect as it represents a ratio between x and y equal to 3, which is not in line with the relationship depicted in the chart.

3. Simplify the following expression: (2/7) ÷ (5/6)

• A. 2/5
• B. 35/15
• C. 5/21
• D. 12/35

Correct answer: D

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, (2/7) ÷ (5/6) becomes (2/7) × (6/5) = 12/35. Therefore, the correct answer is 12/35. Choice A (2/5), choice B (35/15), and choice C (5/21) are incorrect because they do not correctly simplify the given expression.

4. Which of the following relationships represents no correlation between two variables?

• A. As a student’s class attendance decreases, the student’s overall grade remains the same
• B. As the number of hours a person exercises decreases, the weight of that person increases
• C. As the number of miles driven increases, the amount of gasoline in the tank decreases
• D. As the amount of water a plant receives increases, the growth rate of the plant increases

Correct answer: A

Rationale: Choice A represents no correlation between two variables as it states that as a student’s class attendance decreases, the student’s overall grade remains the same. This scenario shows no relationship between class attendance and grade. In contrast, choices B, C, and D show clear correlations between the variables mentioned. Choice B indicates a negative correlation between exercise hours and weight gain, choice C indicates a negative correlation between miles driven and gasoline in the tank, and choice D indicates a positive correlation between water intake and plant growth rate, making them all examples of correlated relationships.

5. Which of the following is listed in order from least to greatest? (-3/4, -7 4/5, -8, 18%, 0.25, 2.5)

• A. -3/4, -7 4/5, -8, 18%, 0.25, 2.5
• B. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
• C. 18%, 0.25, -3/4, 2.5, -7 4/5, -8
• D. -8, -7 4/5, -3/4, 18%, 0.25, 2.5

Correct answer: D

Rationale: To arrange the numbers from least to greatest, we first compare the integers, then the fractions, and finally the percentages and decimals. The correct order is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. Choice A is incorrect because it incorrectly orders the fractions. Choice B is incorrect because it incorrectly places -8 after the fractions. Choice C is incorrect because it starts with the percentages instead of the integers, leading to an incorrect order.

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