ATI TEAS 7
Mathematics
1. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?
- A. 12 and 16
- B. 15 and 17
- C. 20 and 24
- D. 28 and 36
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. Entropy (S) is a thermodynamic property related to the system's disorder. According to the second law of thermodynamics, in a spontaneous process:
- A. The total entropy of the system and surroundings increases.
- B. The total entropy of the system and surroundings decreases.
- C. The total entropy of the system remains constant.
- D. The total entropy of the surroundings increases, while the system's entropy decreases.
Correct answer: A
Rationale: Entropy is a measure of a system's disorder or randomness. According to the second law of thermodynamics, in a spontaneous process, the total entropy of the system and surroundings increases, leading to a higher level of disorder or randomness. This increase in total entropy is consistent with the idea that systems tend towards higher entropy states over time. Therefore, option A is correct because it aligns with the principle that the total entropy of a closed system, including both the system and its surroundings, will increase in a spontaneous process.
3. What type of genetic testing can reveal an individual's susceptibility to certain diseases?
- A. Karyotyping
- B. Pharmacogenomics
- C. Paternity testing
- D. Microarray analysis
Correct answer: D
Rationale: Rationale: A) Karyotyping is a genetic test that examines an individual's chromosomes to detect abnormalities such as extra or missing chromosomes. It is not typically used to reveal an individual's susceptibility to certain diseases. B) Pharmacogenomics is the study of how genes affect a person's response to drugs. It focuses on how genetic variations can influence drug response, rather than susceptibility to diseases. C) Paternity testing is a genetic test used to determine the biological relationship between a child and an alleged father. It is not used to reveal an individual's susceptibility to diseases. D) Microarray analysis is a type of genetic testing that can reveal an individual's susceptibility to certain diseases by analyzing variations in their DNA. It can identify genetic markers associated with increased risk for specific conditions, allowing for personalized risk assessment and preventive measures.
4. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?
- A. 0.004 82
- B. 0.482
- C. 4820
- D. 4820000
Correct answer: C
Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.
5. Which of the following terms refers to a muscle that lengthens while another muscle contracts to produce movement?
- A. Synergist
- B. Agonist
- C. Antagonist
- D. Flexor
Correct answer: C
Rationale: The correct answer is C: Antagonist. In muscle physiology, an antagonist refers to a muscle that lengthens while another muscle contracts to produce movement. This relationship allows for smooth and coordinated movement by controlling the action of the agonist muscle. For example, when you bend your arm, the biceps muscle (agonist) contracts to flex the arm while the triceps muscle (antagonist) lengthens to allow for this movement. Synergists assist the agonist muscle in performing a movement, while flexors are a type of muscle that decreases the angle between bones at a joint. Therefore, the antagonist best fits the description of a muscle that lengthens while another muscle contracts.
6. What is the relationship between work and energy?
- A. Work is the rate of energy transfer
- B. Work and energy are the same concepts
- C. Work is the result of energy
- D. Work changes an object's energy from one form to another
Correct answer: d
Rationale: Work is the process that changes an object's energy from one form to another or transfers it from one object to another.
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