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| Section | Weight | Objectives |
|---|---|---|
| Algorithms & Complexity | 25% | - Sorting and searching algorithms - Algorithm design and analysis - Big O notation, time and space complexity - Recursion and iterative structures |
| Discrete Mathematics & Logic | 25% | - Set theory, relations, functions - Boolean algebra and digital logic - Propositional and predicate logic - Proof techniques and mathematical induction |
| Computer Architecture & Organization | 15% | - CPU, memory, I/O systems - Memory hierarchy and performance - Von Neumann architecture - Instruction sets and execution cycles |
| Data Structures | 20% | - Data storage and retrieval principles - Trees, graphs, hash tables - Arrays, linked lists, stacks, queues - Primitive and composite data types |
| Software Engineering & Programming Basics | 15% | - Programming paradigms - Software development lifecycle - Basic syntax and control structures - Testing and debugging fundamentals |
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NEW QUESTION # 27
How is the NumPy package imported into a Python session?
Answer: B
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 # 28
What is the correct way to represent a boolean value in Python?
Answer: D
Explanation:
Python has a built-in boolean type named bool, which has exactly two values: True and False. These are language keywords/constants and are case-sensitive. Therefore, the correct representation of a boolean value is True (capital T, lowercase rest) or False (capital F). This is consistently taught in introductory programming textbooks because it affects conditional statements (if, while), logical operations (and, or, not), and comparisons.
Option A, "True", is a string literal, not a boolean. While it visually resembles the boolean constant, it behaves differently: non-empty strings are "truthy" in conditions, but "True" == True is false because they are different types (str vs bool). Option B, "true", is also a string, and it differs in casing as well. Option D, true, is not valid in Python; it will raise a NameError unless a variable named true has been defined.
Textbooks also stress that boolean values often result from comparisons, such as x > 0, and that booleans are a subtype of integers in Python (True behaves like 1 and False like 0 in arithmetic contexts). Still, their primary use is representing logical truth values for control flow and decision- making.
NEW QUESTION # 29
Which Python function is used to display the data type of a given variable?
Answer: B
Explanation:
Python is a dynamically typed language, meaning variables do not require explicit type declarations; instead, objects carry type information at runtime. To inspect the type of an object, Python provides the built-in function type(). When you pass a variable or value into type(), it returns the object's class, which represents its data type. For example, type(5) returns <class 'int'>, type(3.14) returns <class 'float'>, and type("hello") returns <class 'str'>. This is commonly used in debugging, learning exercises, and when writing functions that must behave differently depending on input types.
Textbook discussions often pair type() with Python's object model: everything in Python is an object, and each object is an instance of some class. type() reveals that class. In addition, type() can be used in more advanced ways, such as dynamic class creation, but its foundational educational use is type inspection.
The other options are not correct because GetVar(), Show(), and Data() are not standard Python built- ins for type checking. While developers can define functions with those names, they are not part of Python's core language or standard library in the sense required by the question. For typical coursework and professional Python usage, the correct and universally accepted function is type().
NEW QUESTION # 30
The np_2d array stores information about multiple family members. Each row represents a different person, and the columns store family member attributes in the following order:
Age (years)
Weight (pounds)
Height (inches)
How is the weight of all family members selected from the np_2d array?
Answer: D
Explanation:
In a 2D NumPy array, rows and columns represent different dimensions of the data. The indexing form array
[row_selection, column_selection] allows you to select entire rows, entire columns, or submatrices. The slice :
means "all indices along this dimension." Since each row corresponds to a family member (a person), selecting weights forallfamily members means selectingall rowsfor the weight column.
The problem states the columns are ordered as: Age (column 0), Weight (column 1), Height (column 2).
Therefore, the weight column has index 1. The expression np_2d[:, 1] uses : to take every row and 1 to take the second column, producing a 1D array (or a column view) containing the weight values for all people.
Option A, np_2d[:, 2], would select the height column, not weight. Option C, np_2d[2, :], selects the third row (the third person) and all columns-age, weight, and height for just that one person. Option D, np_2d[1, :], selects the second person's entire row.
This column selection technique is fundamental in data analysis because datasets are often stored as
"rows = observations, columns = features," and extracting a feature vector is a frequent operation before computing statistics or building models.
NEW QUESTION # 31
Which principle can be used to implement an algorithm to calculate factorial or Fibonacci sequence?
Answer: B
Explanation:
Factorial and Fibonacci are classic examples used to teachrecursion, a technique where a function solves a problem by calling itself on smaller subproblems. The key requirement for recursion is (1) abase casethat stops further calls and (2) arecursive casethat reduces the problem size. For factorial, the definition is (n! = n
\times (n-1)!) with base case (0! = 1) (or (1! = 1)). For Fibonacci, (F(n) = F(n-1) + F(n-2)) with base cases (F (0)=0) and (F(1)=1). These mathematical definitions map directly into recursive code, which is why textbooks frequently introduce recursion using these sequences.
While factorial and Fibonacci can also be computed iteratively, the question asks for the principle that can be used to implement such algorithms, and recursion is the canonical textbook answer. Recursion also connects to important CS topics: call stacks, activation records, and divide-and-conquer problem solving.
Option A ("procedural programming") and option D ("object-oriented programming") are broader paradigms rather than the specific technique used in the classic implementations. Option B ("iterative programming") is a valid alternative approach, but the standard instructional principle highlighted for these particular examples is recursion. Textbooks also note that naive recursive Fibonacci is inefficient (exponential time) unless optimized with memoization or converted to an iterative or dynamic programming approach.
NEW QUESTION # 32
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