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| Section | Objectives |
|---|---|
| Operating Systems & Architecture | - System Architecture
|
| Programming Foundations | - Language Concepts Overview
|
| Data & Security Basics | - Data Handling
|
| Computer Science Fundamentals | - Core CS Concepts
|
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NEW QUESTION # 68
How can someone subset the last two rows and columns of a 2D NumPy array?
Answer: C
Explanation:
NumPy slicing uses the same start/stop rules as Python sequences, and it also supports negative indices to count from the end. In a 2D array, slicing is written as array[rows, columns]. To get thelast two rows, you use
-2: in the row position, meaning "start two rows from the end and go to the end." Similarly, to get thelast two columns, you use -2: in the column position. Combining these gives array[-2:, -2:], which selects the bottom- right 2×2 subarray.
Option A, array[-2:, :], selects the last two rows butall columns, so it is not restricted to the last two columns.
Option D, array[:, -2:], selects all rows but only the last two columns. Option B, array[-1:, -1:], selects only the last row and the last column, producing a 1×1 (or 1×1 view) subarray, not a 2×2.
This kind of slicing is widely taught because it is essential for matrix operations, extracting submatrices, working with sliding windows, and manipulating image or time-series data where "take the last k observations/features" is common. Negative indexing reduces errors and makes code clearer, especially compared with computing explicit indices like array[rows-2:rows, cols-2:cols].
NEW QUESTION # 69
What is the slicing outcome of client_locations[1:3] from client_locations = ["TX", "AZ", "UT", "NY"]?
Answer: B
Explanation:
Python list slicing uses the notation list[start:stop], where start is inclusive and stop is exclusive. This means the slice begins at index start and includes elements up to, but not including, index stop. Lists in Python are zero-indexed, so for client_locations = ["TX", "AZ", "UT", "NY"], the indices are: 0 # "TX", 1 # "AZ", 2 #
"UT", 3 # "NY".
The slice client_locations[1:3] starts at index 1 and stops before index 3. Therefore, it includes elements at indices 1 and 2, which are "AZ" and "UT". The result is ["AZ", "UT"].
This slice rule is heavily emphasized in programming textbooks because it supports efficient sub-list extraction and is consistent across Python sequence types such as strings and tuples. It also helps avoid off-by-one errors by using an exclusive end boundary. The exclusive stop index makes it easy to take
"the first n items" via [0:n] and to split sequences at a boundary without overlap. In practical software development, slicing is widely used for batching data, windowing in algorithms, and parsing structured inputs, making it an essential Python skill.
NEW QUESTION # 70
How is the NumPy package imported into a Python session?
Answer: C
Explanation:
In Python, external libraries are brought into a program using the import statement. NumPy, which provides the ndarray type and a large collection of numerical computing functions, is conventionally imported with an alias for convenience. The standard and widely taught pattern is import numpy as np. This imports the numpy module and binds it to the shorter name np, making code more readable and reducing repeated typing, especially in mathematical expressions such as np.array(...), np.mean(...), or np.dot(...).
Option A is incorrect because the module name is numpy, not num_py. Options C and D resemble syntax from other languages (for example, "using" in C# or "include" in C/C++), but they are not valid Python import mechanisms. Python's module system is based on imports, and the aliasing feature (as np) is built into the import statement.
Textbooks also emphasize that importing a package requires that it be installed in the active Python environment. If NumPy is not installed, import numpy as np will raise an ImportError (or ModuleNotFoundError in modern Python). Once imported, the alias np is used consistently in scientific computing materials, notebooks, and professional data analysis codebases, which is why this option is considered the correct and expected answer.
NEW QUESTION # 71
What is the time complexity of a binary search algorithm?
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