ATI TEAS 7
Mathematics
1. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?
- A. 785 sq cm
- B. 1130 sq cm
- C. 1570 sq cm
- D. 2055 sq cm
Correct answer: D
Rationale: Calculate the surface area of the cylinder (base + lateral surface) and two hemispheres. Add them all up for the total surface area.
2. Based on the information provided, which statement is LEAST likely to be supported by the author?
- A. Energy storage technologies play a critical role in the future of renewable energy utilization.
- B. Smart grids can improve the reliability and efficiency of the electricity grid.
- C. Continued reliance on fossil fuels hinders long-term climate change mitigation goals.
- D. Technological advancements offer solutions to overcome challenges associated with renewable energy.
Correct answer: B
Rationale: While the passage mentions smart grids, its primary focus is on managing the intermittency of renewable energy, making B the least likely statement the author would strongly support.
3. Where does fertilization, the fusion of sperm and egg, typically occur in the human body?
- A. Ovary
- B. Uterus
- C. Fallopian tube
- D. Vagina
Correct answer: C
Rationale: The correct answer is C: Fallopian tube. Fertilization, the fusion of sperm and egg, typically occurs in the fallopian tube. After ovulation, the egg is released from the ovary and travels through the fallopian tube where it may encounter sperm for fertilization. The fertilized egg then moves to the uterus for implantation and development. The ovary releases the egg but fertilization occurs in the fallopian tube, making it the correct answer.
4. If you compare a 1 M solution of NaCl to a 1 M solution of glucose (C6H12O6) in water, which solution would have the higher boiling point?
- A. The NaCl solution
- B. The glucose solution
- C. They would have the same boiling point
- D. It depends on the temperature
Correct answer: A
Rationale: The correct answer is A. When a solute is added to a solvent, it raises the boiling point of the solution due to the phenomenon of boiling point elevation. In this case, NaCl is an ionic compound that dissociates into Na+ and Cl- ions in water, leading to more particles in solution compared to glucose, which remains as individual molecules. Since NaCl forms more particles, it causes a greater boiling point elevation, resulting in the NaCl solution having the higher boiling point. Glucose, being a non-electrolyte, does not dissociate and therefore does not contribute as many particles to the solution as NaCl does. Therefore, the NaCl solution would have the higher boiling point.
5. What is the main component of bile, a substance that aids in fat digestion?
- A. Proteins
- B. Carbohydrates
- C. Bile salts
- D. Vitamins
Correct answer: C
Rationale: Rationale: Bile is a digestive fluid produced by the liver and stored in the gallbladder. Bile salts are the main component of bile that aid in the digestion and absorption of fats in the small intestine. Bile salts help emulsify fats, breaking them down into smaller droplets that can be more easily digested by enzymes. Proteins, carbohydrates, and vitamins are not the main components of bile and do not play a significant role in fat digestion.
6. Maintaining good muscle strength and flexibility as we age becomes important to avoid:
- A. Headaches
- B. Falls
- C. Anxiety
- D. Common cold
Correct answer: B
Rationale: The correct answer is B: 'Falls.' Maintaining good muscle strength and flexibility as we age is crucial for preventing falls, which become more common with age and can lead to serious injuries such as fractures. Strong muscles and good flexibility help in maintaining balance and stability, reducing the risk of falls. Headaches, anxiety, and the common cold are not directly related to muscle strength and flexibility, making them less likely to be avoided by focusing on these aspects of physical health.
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