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. hich word is most closely associated with the adjective "meticulous"?
- A. careless
- B. precise
- C. indifferent
- D. enthusiastic
Correct answer: B
Rationale: "Meticulous" implies carefulness and attention to detail, making "precise" its closest synonym.
3. The unit for measuring luminous flux, which describes the perceived brightness of a light source by the human eye, is:
- A. Candela
- B. Lumen
- C. Lux
- D. Hertz
Correct answer: A
Rationale: The correct answer is B: Lumen. Luminous flux is the measure of the total quantity of visible light emitted by a source per unit time, measured in lumens. The candela (A) is the unit for luminous intensity, lux (C) is the unit for illuminance (luminous flux per unit area), and Hertz (D) is the unit for frequency. Therefore, in this question, the unit for measuring luminous flux is the lumen, as it specifically quantifies the perceived brightness of a light source by the human eye.
4. Which gland located in the neck is responsible for regulating metabolism, growth, and development?
- A. Parathyroid gland
- B. Thyroid gland
- C. Pituitary gland
- D. Thymus gland
Correct answer: B
Rationale: The correct answer is B: Thyroid gland. The thyroid gland is located in the neck and plays a crucial role in regulating metabolism, growth, and development. It produces hormones such as thyroxine (T4) and triiodothyronine (T3) that control the body's metabolic rate, affecting energy levels and growth. The parathyroid gland (A) regulates calcium levels in the body, the pituitary gland (C) controls several other glands and their hormone production, and the thymus gland (D) is involved in the immune system's development. Therefore, the thyroid gland is the most appropriate choice for the functions described in the question.
5. A person is pushing a box across the floor. Which of the following forces is NOT doing work?
- A. The person's pushing force
- B. The normal force from the floor
- C. The gravitational force on the box
- D. The frictional force between the box and the floor
Correct answer: A
Rationale: Work is defined as the force applied in the direction of motion multiplied by the distance moved. Since the normal force acts perpendicular to the motion, it does not contribute to work.
6. Which of the following situations represents work being done on an object?
- A. Pushing against a wall without moving it
- B. Carrying a heavy object without lifting it
- C. Lifting a box to place it on a shelf
- D. Holding a book stationary in your hand
Correct answer: c
Rationale: Work is done when a force is applied to move an object over a distance.
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