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. The human eye focuses light by adjusting the shape of its:
- A. Cornea
- B. Iris
- C. Lens
- D. Retina
Correct answer: C
Rationale: The human eye focuses light by adjusting the shape of its lens. The cornea is the transparent outer covering of the eye that helps to focus light, but it does not change shape. The iris regulates the amount of light entering the eye through the pupil but does not adjust the shape of the light. The retina is the layer at the back of the eye that receives and processes light signals but does not play a role in focusing light. Therefore, the correct answer is C, the lens, as it changes shape to focus light onto the retina, allowing for clear vision.
3. Identify the determiner in the following sentence: A few birds chirped happily in the branches of the tall tree.
- A. happily
- B. ranches
- C. few
- D. tree
Correct answer: C
Rationale: Determiners specify the quantity or identity of a noun. "Few" indicates the number of birds.
4. What property of a substance remains constant regardless of changes in its location in the universe?
- A. Mass
- B. Weight
- C. Density
- D. Volume
Correct answer: a
Rationale: Mass is an intrinsic property of matter and remains constant regardless of its location.
5. What is the difference between a real image and a virtual image formed by a lens?
- A. Real images can be projected onto a screen, while virtual images cannot.
- B. Real images are always upright, while virtual images can be inverted.
- C. Real images are formed by converging lenses, while virtual images are formed by diverging lenses.
- D. All of the above are true.
Correct answer: A
Rationale: Real images are formed by the actual convergence of light rays and can be projected onto a screen, while virtual images are formed by the apparent divergence of light rays and cannot be projected.
6. What is the functional group present in esters?
- A. Hydroxyl
- B. Carbonyl
- C. Ester
- D. Amine
Correct answer: C
Rationale: Esters have the functional group -COO-, representing a carbonyl group bonded to an oxygen atom. The other choices are associated with different functional groups.
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