relatively prime numbers share no common factors other than 1 which of the following pairs of numbers are relatively prime
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HESI A2

HESI A2 Math Portion

1. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?

Correct answer: B

Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.

2. A medication dosage is listed as 1/2 teaspoon. What is the equivalent dosage in milliliters (1 teaspoon = 5ml)?

Correct answer: B

Rationale: Rationale: Given that 1 teaspoon is equal to 5ml, and the medication dosage is listed as 1/2 teaspoon, we need to find half of 5ml. 1/2 of 5ml = 5ml / 2 = 2.5ml Therefore, the equivalent dosage in milliliters for 1/2 teaspoon is 2.5ml.

3. Subtract 12 1/8 - 9 1/2.

Correct answer: A

Rationale: To subtract mixed numbers, first subtract the fractions: 1/8 - 1/2 = -3/8. Then, subtract the whole numbers: 12 - 9 = 3. Combine the whole number and fraction: 3 - 3/8 = 2 5/8. Therefore, the correct answer is A. Choice B is incorrect because it does not reflect the correct subtraction of the fractions. Choices C and D are incorrect as they do not result from the correct subtraction process outlined above.

4. Is a potassium level of 4.5 millimoles per liter (mmol/L) within the normal range of 3.5 to 5.3 mmol/L?

Correct answer: B

Rationale: The normal range for potassium levels is typically considered to be between 3.5 to 5.3 mmol/L. In this case, the potassium level of 4.5 mmol/L falls within this normal range. Therefore, the correct answer is that it is within the normal range (Choice B). Choice A is incorrect as 4.5 mmol/L is not too low. Choice C is also incorrect as 4.5 mmol/L is not too high. Choice D is incorrect as the given information is sufficient to determine that the potassium level is within the normal range.

5. What is 75% of 80?

Correct answer: D

Rationale: To calculate 75% of 80, you multiply 0.75 by 80, which equals 60. Therefore, the correct answer is 60. Choices A, B, and C are incorrect because they do not represent 75% of 80. Choice A (35) is close to 50% of 80, Choice B (45) is close to 56.25% of 80, and Choice C (70) exceeds 80.

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