ATI TEAS 7
Mathematics
1. You need to paint a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m. Considering only the interior walls and floor (not the top), how much paint do you need (assume one can of paint covers 10 sq m)?
- A. 56 sq m
- B. 72 sq m
- C. 88 sq m
- D. 104 sq m
Correct answer: C
Rationale: Calculate the areas of each wall and the floor, sum them up, and subtract the area of the water surface (top). Divide the final area by the coverage area per can to determine the number of cans needed.
2. The process by which a solid changes directly into a liquid is called:
- A. Melting
- B. Condensation
- C. Sublimation
- D. Deposition
Correct answer: D
Rationale: While melting is a solid to liquid transition, deposition, also known as sublimation, refers to a gas directly changing into a solid.
3. A decorative globe has a diameter of 25cm. What is its total surface area?
- A. 1570 sq cm
- B. 1963 sq cm
- C. 2513 sq cm
- D. 3142 sq cm
Correct answer: B
Rationale: Use the formula for surface area of a sphere: 4 * π * (radius)^2, where radius is half the diameter. Calculate the radius (12.5cm) and substitute: 4 * π * (12.5cm)^2 ≈ 1963 sq cm.
4. What is the principle behind optical fibers used in communication?
- A. Reflection of light within the fiber
- B. Refraction of light due to different densities within the fiber
- C. Total internal reflection guiding light through the fiber core
- D. Diffraction of light around bends in the fiber
Correct answer: C
Rationale: Optical fibers used in communication rely on the principle of total internal reflection guiding light through the fiber core. When light enters the fiber at a certain angle, it reflects off the boundary between the core and cladding, ensuring that the light remains trapped within the core and travels along the fiber without significant loss of signal. This total internal reflection allows for efficient transmission of light signals over long distances in optical communication systems.
5. What happens to the density of a gas when its temperature increases at constant pressure?
- A. It increases.
- B. It decreases.
- C. It remains the same.
- D. Information insufficient
Correct answer: B
Rationale: As gas particles gain thermal energy with increasing temperature, they spread out, decreasing the density.
6. What are the white blood cells responsible for coordinating the immune response called?
- A. Red blood cells
- B. Platelets
- C. Lymphocytes
- D. Neutrophils
Correct answer: C
Rationale: The correct answer is C: "Lymphocytes." Lymphocytes are a type of white blood cell that plays a crucial role in coordinating the immune response. There are two main types of lymphocytes: B cells, which produce antibodies to target pathogens, and T cells, which directly attack infected cells. Neutrophils (option D) are another type of white blood cell involved in the immune response by engulfing and destroying pathogens. Red blood cells (option A) are responsible for carrying oxygen to body tissues, while platelets (option B) are involved in blood clotting. Therefore, lymphocytes are specifically responsible for coordinating the immune response, making them the correct answer to this question.
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