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| Section | Weight | Objectives |
|---|---|---|
| Data Structures | 20% | - Trees, graphs, hash tables - Primitive and composite data types - Data storage and retrieval principles - Arrays, linked lists, stacks, queues |
| Discrete Mathematics & Logic | 25% | - Propositional and predicate logic - Proof techniques and mathematical induction - Set theory, relations, functions - Boolean algebra and digital logic |
| Algorithms & Complexity | 25% | - Algorithm design and analysis - Recursion and iterative structures - Big O notation, time and space complexity - Sorting and searching algorithms |
| Software Engineering & Programming Basics | 15% | - Software development lifecycle - Testing and debugging fundamentals - Programming paradigms - Basic syntax and control structures |
| Computer Architecture & Organization | 15% | - CPU, memory, I/O systems - Instruction sets and execution cycles - Von Neumann architecture - Memory hierarchy and performance |
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NEW QUESTION # 21
What is the expected output of numpy_array[1]?
Answer: C
Explanation:
In Python and NumPy, indexing iszero-based, meaning the first element of a 1D sequence is at index 0, the second element is at index 1, and so on. A NumPy array behaves like a sequence for basic indexing, so numpy_array[1] returns the element stored at position 1 in the array. This is a fundamental concept taught in introductory programming and scientific computing: indexing selects a single element, while slicing selects a range.
For example, if numpy_array = np.array([5, 8, 13]), then numpy_array[0] is 5, numpy_array[1] is 8, and numpy_array[2] is 13. The expression numpy_array[1] therefore evaluates to thesecond element(8 in this example). This does not display the entire array (that would happen with print(numpy_array)), and it does not produce an error unless the array is too short. An error such as IndexError occurs only if index 1 is out of bounds, for example when the array has length 1 and you try to access numpy_array[1].
Textbooks emphasize careful reasoning about indices because off-by-one errors are common. In data analysis, correct indexing is crucial for extracting the right observations, features, or time steps from numerical datasets.
NEW QUESTION # 22
Which action is taken if the first number is the lowest value in a selection sort?
Answer: B
Explanation:
Selection sort works by maintaining a boundary between a sorted prefix and an unsorted suffix. On each pass, the algorithm finds the smallest value in the unsorted portion and places it into the first position of that unsorted portion (which is also the next position in the sorted prefix). This is usually done by swapping the element at the minimum's index with the element at the boundary index (the "first unsorted element"). That description matches option D.
If the first element of the unsorted portion is already the smallest, then the minimum's index equals the boundary index. In textbook implementations, the algorithm may still execute a swap operation, but it becomes a swap of an element with itself (a no-op), leaving the array unchanged. Many implementations include a small optimization: perform the swap only if the minimum index differs from the boundary index.
Either way, conceptually the "action taken" by selection sort is still "swap the selected minimum into the first unsorted position," which is exactly what option D states.
Options A and B are unrelated to sorting; selection sort never increases or duplicates values. Option C is incorrect because selection sort swaps the minimum with thefirstunsorted element, not the last. After the swap (or no-op), the sorted region grows by one element, and the algorithm repeats from the next boundary position.
This logic is fundamental for understanding how selection sort ensures correctness: after pass i, the smallest i+1 elements are fixed in their final positions.
NEW QUESTION # 23
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 # 24
What is the name of the tool that can allow a device to run more than one operating system at a time as virtual machines?
Answer: C
NEW QUESTION # 25
Which process is designed to establish the identity of the user such as with a username and password?
Answer: A
Explanation:
Authenticationis the security process of proving or establishing a user's identity. In textbook terminology, authentication answers the question: "Who are you?" Common authentication factors include something you know (password, PIN), something you have (smart card, hardware token), and something you are (biometrics). Username and password is the classic "something you know" mechanism, where the username identifies the account and the password serves as a secret used to validate that the user is the rightful owner of that account.
Authentication is distinct fromauthorization, which determines what an authenticated user is allowed to do (permissions, roles). It is also distinct from registration, which is the administrative act of creating an account or enrolling a user in a system. "Verification" is a general term that can appear in many contexts, but in security frameworks the precise term for identity establishment is authentication. "Certification" usually refers to issuing or validating credentials such as digital certificates (PKI) or professional certifications, not the act of logging in with a password.
Textbooks emphasize that authentication should be strengthened with practices like hashing and salting passwords, multi-factor authentication (MFA), lockout policies, and secure transport (e.g., TLS) to prevent credential theft. The core concept remains: the process that establishes identity using credentials like a username and password is authentication.
NEW QUESTION # 26
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