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. How is power related to work and time?
- A. Power = Work ÷ Time
- B. Power = Work × Time
- C. Power = Work + Time
- D. Power = Work - Time
Correct answer: a
Rationale: Power is calculated as the amount of work done or energy transferred per unit of time.
3. Which verb tense best fits the blank: "By next month, she _____ the project for a year."
- A. will have been working on
- B. will work on
- C. has been working on
- D. had worked on
Correct answer: C
Rationale: The sentence emphasizes the completed duration of the project by next month, requiring the present perfect continuous tense.
4. The term "barn" is a unit commonly used in nuclear physics to quantify:
- A. Energy (Electron volts are the standard unit for energy in nuclear physics)
- B. Radioactivity
- C. Nuclear cross-section
- D. Half-life
Correct answer: C
Rationale: The term 'barn' is a unit of measurement used in nuclear physics to quantify nuclear cross-section. Nuclear cross-section refers to the measure of the probability of a specific interaction occurring between particles during a nuclear reaction. The term 'barn' was coined based on its relation to the physical size of a nucleus, as it is a small unit of area used to describe the likelihood of a particle interacting with a nucleus. It is not used to quantify energy, radioactivity, or half-life, making options A, B, and D incorrect in this context.
5. What is the term for an organism with two different alleles for a gene?
- A. Homozygous
- B. Heterozygous
- C. Dominant
- D. Recessive
Correct answer: B
Rationale: An organism with two different alleles for a gene has a mixed genotype and may exhibit either the dominant or recessive trait depending on the specific gene and its alleles.
6. Which number is the opposite of -3?
- A. -6
- B. 3
- C. 0
- D. 6
Correct answer: B
Rationale: The opposite of a number is the one with the same distance from zero but on the opposite side of the number line. So, the opposite of -3 is 3.
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