Nursing Elites

1. Simplify the expression. Which of the following is correct? (3/2)(8/3) ÷ (5/4)

• A. 1
• B. 2
• C. 3
• D. 4

Correct answer: B

Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction): (3/2)(8/3) ÷ (5/4) = (24/6) ÷ (5/4) = (4/1) ÷ (5/4). To divide fractions, the second fraction is flipped and then multiplied by the first fraction, resulting in (4/1)(4/5) = (16/5), which simplifies to 3(1/5) or 2.

2. Kyle has $950 in savings and wishes to donate one-fifth of it to 8 local charities. He estimates that he will donate around $30 to each charity. Which of the following correctly describes the reasonableness of his estimate?

• A. It is reasonable because $190 is one-fifth of $950
• B. It is reasonable because $190 is less than one-fifth of $1,000
• C. It is not reasonable because $240 is more than one-fifth of $1,000
• D. It is not reasonable because $240 is one-fifth of $1,000

Correct answer: C

Rationale: Kyle initially had $950 in savings, and one-fifth of that amount would be $190. Since he wishes to donate around $30 to each charity, the total amount he would donate to 8 local charities would be $30 x 8 = $240. This amount is more than one-fifth of $1,000, making the estimate not reasonable. Choice A is incorrect because $190 is the correct one-fifth of $950, not $900. Choice B is incorrect as it compares $190 to a different amount ($1,000) rather than the actual total. Choice D is incorrect as it states that $240 is one-fifth of $1,000, which is inaccurate.

3. If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?

• A. 1,050 people
• B. 1,200 people
• C. 1,100 people
• D. 1,300 people

Correct answer: A

Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.

4. When the sampling distribution of means is plotted, which of the following is true?

• A. The distribution is approximately normal.
• B. The distribution is positively skewed.
• C. The distribution is negatively skewed.
• D. There is no predictable shape to the distribution.

Correct answer: A

Rationale: When the sampling distribution of means is plotted, the distribution tends to be approximately normal, especially as the sample size increases. This phenomenon is described by the Central Limit Theorem, which states that the sampling distribution of the sample mean will be normally distributed regardless of the shape of the original population distribution as long as the sample size is sufficiently large. Choices B and C are incorrect because sampling distributions of means are not skewed. Choice D is incorrect because there is a predictable shape to the distribution, which is approximately normal.

5. If Stella's current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kilogram is approximately equal to 2.2 pounds.)

• A. 123 pounds
• B. 110 pounds
• C. 156 pounds
• D. 137 pounds

Correct answer: A

Rationale: To convert Stella's weight from kilograms to pounds, you multiply her weight in kilograms (56) by the conversion factor (2.2): 56 × 2.2 = 123.2 pounds. Since we need to find the approximate weight in pounds, the closest option is 123 pounds, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the accurate conversion of Stella's weight from kilograms to pounds.

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