Nursing Elites

1. Can a rational number be a fraction or decimal, or must it be a whole number?

• A. It must be a whole number
• B. It can be a fraction or decimal
• C. It can be any of the three
• D. It cannot be a decimal

Correct answer: C

Rationale: The correct answer is C. A rational number can be a whole number, fraction, or decimal. A rational number is any number that can be expressed as a ratio of two integers (where the denominator is not zero), which includes whole numbers, fractions, and decimals. Choice A is incorrect because rational numbers are not limited to being whole numbers. Choice B is incorrect because a rational number can be a fraction, decimal, or whole number. Choice D is incorrect because rational numbers can definitely be decimals, as long as the decimal representation is either terminating or repeating.

2. Which of the following is the greatest value?

• A. 43 ÷ 55
• B. 7 ÷ 5
• C. 0.729
• D. 73%

Correct answer: B

Rationale: To determine the greatest value among the choices, you need to convert all options to a common format. In this case, converting fractions to decimals will help compare them. When 7 ÷ 5 is calculated, it equals 1.4, which is greater than 0.729 (choice C) and 0.78 (choice A when rounded). The percentage 73% (choice D) is equivalent to 0.73, making 7 ÷ 5 the largest value. Therefore, the correct answer is B. Choice A is smaller than B, as 43 ÷ 55 equals approximately 0.78. Choice C is smaller than B, as 0.729 is less than 1.4. Choice D is smaller than B, as 73% is equal to 0.73, which is less than 1.4.

3. A lab technician took 500 milliliters of blood from a patient. The technician used 1/6 of the blood for further tests. How many milliliters of blood were used for further tests? Round your answer to the nearest hundredth.

• A. 83
• B. 83.3
• C. 83.33
• D. 83.34

Correct answer: C

Rationale: To find 1/6 of 500, multiply 500 by 1/6: (500)(1/6) = 500/6 = 83.33. Converting the fraction to a decimal gives 83.33. Rounding this to the nearest hundredth results in 83.33. Therefore, 83.33 milliliters of blood were used for further tests. Choice A is incorrect as it does not consider the decimal value of the fraction. Choice B is incorrect as it rounds to the tenths place, not the nearest hundredth. Choice D is incorrect as it rounds up unnecessarily, as the correct answer should be rounded to 83.33.

4. What is the result when the number 1 is raised to ANY power?

• A. One
• B. Itself
• C. Zero
• D. Two

Correct answer: A

Rationale: The correct answer is A: 'One.' When the number 1 is raised to any power, the result is always 1. This is a fundamental mathematical property where any number raised to the power of 0 equals 1. Choices B, C, and D are incorrect. Choice B 'Itself' is vague and does not provide a clear mathematical result. Choice C 'Zero' is incorrect as 1 raised to any power is not zero. Choice D 'Two' is incorrect as the result of raising 1 to any power is always 1, not 2.

5. Divide 4/3 by 9/13 and reduce the fraction.

• A. 52/27
• B. 51/27
• C. 52/29
• D. 51/29

Correct answer: A

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. So, (4/3) ÷ (9/13) = (4/3) * (13/9) = 52/27. This fraction is already in its reduced form, making choice A the correct answer. Choices B, C, and D are incorrect as they do not represent the correct result of dividing the fractions 4/3 by 9/13.

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