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

Nursing Elites

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. What is the second part of an organism’s scientific name?

Correct answer: A

Rationale: The correct answer is 'species.' In binomial nomenclature, the second part of an organism's scientific name represents its species. The species name is a unique identifier within the genus and helps differentiate between different organisms within the same genus. Choices B, C, and D are incorrect. Phylum is a taxonomic rank higher than species, population refers to a group of organisms of the same species living in the same area, and kingdom is a taxonomic rank higher than genus.

3. How many ounces are in 8 1/4 pints?

Correct answer: B

Rationale: To convert pints to ounces, multiply by 16 because 1 pint equals 16 ounces. Therefore, 8 1/4 pints is equal to 8.25 x 16 = 132 ounces. Choices A, C, and D are incorrect as they do not reflect the correct conversion from pints to ounces.

4. Which part of the brain is responsible for regulating involuntary functions such as breathing and heart rate?

Correct answer: C

Rationale: The medulla oblongata, located in the brain stem, is responsible for regulating involuntary functions such as breathing and heart rate. It contains vital centers that control these essential functions to maintain life. The cerebrum is primarily involved in higher brain functions like thinking and voluntary movements; the cerebellum plays a crucial role in coordinating movement and balance; and the frontal lobe is responsible for functions such as decision-making, problem-solving, and voluntary muscle movements. Therefore, the correct answer is the medulla oblongata (Choice C).

5. To the nearest whole number, what is the mass of one mole of water?

Correct answer: B

Rationale: The molar mass of water (H₂O) is calculated by adding the atomic masses of two hydrogen atoms (each with a molar mass of approximately 1 g/mol) and one oxygen atom (with a molar mass of approximately 16 g/mol). Therefore, the molar mass of water is approximately 18 g/mol, making choice B the correct answer. Choice A (16 g/mol) is incorrect because it represents the molar mass of oxygen, not water. Choices C (20 g/mol) and D (22 g/mol) are incorrect as they do not correspond to the molar mass of water.

Similar Questions

Select the correct word for the blank in the following sentence: 'Sharon felt ____ about how her speech had gone.'
A patient's weight is measured as 75 kilograms. What is their weight in pounds?
Choose the meaning of the word 'intramuscularly' in the following sentence: 'This vaccine must only be used intramuscularly and as a single-dose vial.'
When balanced, the reaction Fe + O₂ → FeO will be?
Which word is used incorrectly in the following sentence? Please give the folder to whoever replies to your page.

Access More Features

HESI A2 Basic
$49/ 30 days

  • 3,000 Questions with answers
  • 30 days access

HESI A2 Premium
$99/ 90 days

  • Actual HESI A2 Questions
  • 3,000 questions with answers
  • 90 days access

Other Courses