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. Which of the following is listed in order from least to greatest?

• A. -2 3/4, -2 7/8, -1/5, 2/5, 1/8
• B. -1/5, 1/8, 2/5, -2 3/4, -2 7/8
• C. -2 7/8, -2 3/4, -1/5, 1/8, 2/5
• D. 1/8, 2/5, -1/5, -2 7/8, -2 3/4

Correct answer: C

Rationale: To determine the order from least to greatest, we can convert all fractions and mixed numbers to decimals or use a least common denominator. Converting the fractions in Choice C to decimals, we get -2.875, -2.75, -0.2, 0.125, and 0.4 when reading from left to right. Negative integers with larger absolute values are less than negative integers with smaller absolute values. Therefore, the correct answer is Choice C. Choices A, B, and D are incorrect because they do not present the numbers in the correct order from least to greatest when converted to decimals or compared using common denominators.

3. How do you convert pounds to kg and kg to pounds?

• A. Multiply by 2.2 for pounds; divide by 2.2 for kg
• B. Multiply by 2 for pounds; divide by 2 for kg
• C. Multiply by 1.8 for pounds; divide by 1.8 for kg
• D. Multiply by 1.5 for pounds; divide by 1.5 for kg

Correct answer: A

Rationale: To convert pounds to kg, you need to divide by 2.2, not multiply. Similarly, to convert kg to pounds, you should multiply by 2.2. Therefore, choice A is correct. Choices B, C, and D are incorrect because they provide incorrect conversion factors for pounds and kg, leading to inaccurate results.

4. 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.

5. Your measurement of the width of a door is 36 inches. The actual width of the door is 35.75 inches. What is the relative error in your measurement?

• A. 0.70%
• B. 0.01%
• C. 0.99%
• D. 0.10%

Correct answer: A

Rationale: To calculate relative error, you use the formula: (|measured value - actual value| / actual value) * 100%. Substituting the values, we get (|36 - 35.75| / 35.75) * 100% = (0.25 / 35.75) * 100% = 0.7%. This means your measurement is off by 0.7% from the actual width of the door. Choice B, 0.01%, is too small as it doesn't reflect the actual difference. Choices C and D are significantly different from the calculated answer and do not represent the accurate relative error in the measurement.

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