ATI TEAS 7
Mathematics
1. Which of the following numbers is NOT divisible by 3?
- A. 105
- B. 141
- C. 273
- D. 810
Correct answer: D
Rationale: Rationale: To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3. A) 105: 1 + 0 + 5 = 6, which is divisible by 3. Therefore, 105 is divisible by 3. B) 141: 1 + 4 + 1 = 6, which is divisible by 3. Therefore, 141 is divisible by 3. C) 273: 2 + 7 + 3 = 12, which is divisible by 3. Therefore, 273 is divisible by 3. D) 810: 8 + 1 + 0 = 9, which is divisible by 3. Therefore, 810 is divisible by 3. Since all the
2. What is the Pauli exclusion principle?
- A. The principle that electrons fill orbitals in order of increasing energy.
- B. The principle that electrons cannot be in the same orbital with the same spin.
- C. The principle that the maximum number of electrons in an orbital is 2n^2, where n is the energy level of the orbital.
- D. The principle that the attractive force between an electron and the nucleus is inversely proportional to the distance between them.
Correct answer: B
Rationale: The Pauli exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers. This means that electrons in the same orbital must have opposite spins, which is why they cannot be in the same orbital with the same spin. Option A refers to the Aufbau principle, option C refers to the maximum number of electrons in an orbital based on the formula 2n^2, and option D refers to Coulomb's law, which describes the electrostatic force between charged particles.
3. Percent Increase/Decrease: A medication dosage is increased by 20%. If the original dosage was 100mg, what is the new dosage?
- A. 80mg
- B. 100mg
- C. 120mg
- D. 140mg
Correct answer: C
Rationale: Multiply the original dosage (100mg) by 1 + the percentage increase (20% = 0.2) to get 120mg.
4. A guitar string vibrates at a fundamental frequency of 440 Hz. What is the frequency of the second harmonic (first overtone)?
- A. 220 Hz
- B. 440 Hz
- C. 880 Hz
- D. 1760 Hz
Correct answer: C
Rationale: Harmonics have frequencies that are multiples of the fundamental frequency. The second harmonic has a frequency twice the fundamental, so it's 440 Hz * 2 = 880 Hz.
5. A person throws a ball horizontally. What force changes the direction of the ball's motion?
- A. The force of throwing
- B. Gravitational force
- C. Air resistance
- D. Normal force from the ground
Correct answer: B
Rationale: When a person throws a ball horizontally, the initial force that propels the ball forward is the force of throwing (A). However, the force that changes the direction of the ball's motion is the gravitational force (B), which acts vertically downward and causes the ball to follow a curved path. Air resistance (C) and normal force from the ground (D) do not directly change the direction of the ball's motion in this scenario.
6. The primary site for nutrient absorption from digested food in the human digestive system is the:
- A. Esophagus
- B. Large intestine
- C. Small intestine
- D. Stomach
Correct answer: C
Rationale: The correct answer is C: Small intestine. The small intestine is the primary site for nutrient absorption in the human digestive system. It is in the small intestine where the majority of nutrients, such as carbohydrates, proteins, and fats, are broken down further and absorbed into the bloodstream to be utilized by the body. The large surface area of the small intestine, lined with villi and microvilli, facilitates efficient absorption of nutrients. The esophagus is responsible for transporting food from the mouth to the stomach, the stomach aids in digestion, and the large intestine primarily absorbs water and electrolytes, not nutrients.
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