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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Algorithms & Complexity | 25% | - Sorting and searching algorithms - Algorithm design and analysis - Big O notation, time and space complexity - Recursion and iterative structures |
| Topic 2: Computer Architecture & Organization | 15% | - Memory hierarchy and performance - Instruction sets and execution cycles - Von Neumann architecture - CPU, memory, I/O systems |
| Topic 3: Discrete Mathematics & Logic | 25% | - Proof techniques and mathematical induction - Boolean algebra and digital logic - Set theory, relations, functions - Propositional and predicate logic |
| Topic 4: Data Structures | 20% | - Arrays, linked lists, stacks, queues - Primitive and composite data types - Data storage and retrieval principles - Trees, graphs, hash tables |
| Topic 5: Software Engineering & Programming Basics | 15% | - Software development lifecycle - Testing and debugging fundamentals - Programming paradigms - Basic syntax and control structures |
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28. Frage
What stores the location of the next node in a linked list?
Antwort: B
Begründung:
A linked list is a dynamic data structure made up of nodes, where each node typically contains two components: a data field (the value being stored) and a link field (commonly called a pointer or reference).
The pointer's role is to store the memory address (or reference) of the next node in the sequence, thereby maintaining the logical order of the list even though nodes may be scattered throughout memory. This is a key contrast with arrays, which store elements contiguously and rely on index arithmetic to locate the next element.
Because each node explicitly points to the next node, linked lists support efficient insertion and deletion operations compared with arrays. To insert a node, you allocate it and then adjust pointers so it fits into the chain. To delete a node, you redirect the pointer of the previous node to skip over the removed node.
Traversal is performed by starting at the head node and repeatedly following the pointer until a null reference indicates the end of the list.
The other options do not correctly describe what stores the location of the next node. An index is used in array-like structures, not in a standard linked list node. The value is the payload data, not the link.
The "header" (often called the head pointer) is an external reference to the first node, not the field inside each node that links to the next. Therefore, the correct answer is the pointer.
29. Frage
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?
Antwort: C
30. Frage
Which statement describes the data type restriction found in most NumPy arrays?
Antwort: A
Begründung:
Most NumPy arrays enforce a key constraint: all elements share the samedtype(data type). This uniform typing is foundational to NumPy's performance model. Because each element has the same size and representation, NumPy can store the array in a contiguous memory block and apply low-level, vectorized operations efficiently. This is why NumPy is widely used for numerical computing, statistics, and data analysis: operations like addition, multiplication, and reductions (sum/mean) can be implemented in optimized compiled code without per-element Python overhead.
Option B captures this textbook principle: elements in a typical ndarray are of the same data type. The other options are incorrect. NumPy is not restricted to strings (A), and it is not limited to integers (C); it supports floats, complex numbers, booleans, fixed-width strings, datetime types, and many others. Option D is misleading: NumPy does not continuously "adapt on the fly" during normal use. The dtype is generally fixed once the array exists. What NumPydoesdo is choose an appropriate common dtype when you create an array from mixed inputs (for example, mixing ints and floats yields floats). But after creation, assignments are cast into the existing dtype rather than dynamically changing the dtype to accommodate new values.
This restriction is precisely what differentiates NumPy arrays from Python lists and enables predictable memory layout and fast numerical computation.
31. Frage
What is traversal in the context of trees and graphs?
Antwort: B
Begründung:
In data structures and algorithms,traversalrefers to systematicallyvisiting nodesin a tree or graph in order to process them. "Visiting" typically means performing some operation at each node, such as reading its value, marking it as seen, computing a property, or collecting it into an output structure. Traversal is foundational because many algorithms-search, path finding, connectivity checks, topological analysis, and evaluation of expressions-are built on traversal patterns.
Intrees, traversal has classic forms: preorder, inorder, and postorder depth-first traversals, as well as breadth- first traversal (level-order). Each defines a rule for the order in which nodes are visited relative to their children. Ingraphs, traversal must additionally handle the possibility of cycles and multiple paths; textbooks therefore emphasize maintaining a "visited" set to avoid infinite loops. The two principal graph traversal strategies areDepth-First Search (DFS)andBreadth-First Search (BFS). DFS explores along a path as far as possible before backtracking, while BFS explores layer by layer outward from a start node.
Options A, B, and C do not define traversal. Changing values may happen during traversal, but it is not what traversal means. Removing all nodes is deletion, not traversal. Connecting all nodes is not a standard traversal concept. The correct definition is the process of visiting all nodes (typically reachable from a starting node, or all nodes in the structure if fully connected).
32. Frage
How can a user subset a NumPy array bmi to only include values over 23?
Antwort: A
Begründung:
NumPy supports a powerful technique calledBoolean indexing(also called Boolean masking) to filter arrays based on a condition. When you write bmi > 23, NumPy performs an element-wise comparison and produces a Boolean array of the same shape, containing True where the condition holds and False otherwise. Using that Boolean array inside square brackets, as in bmi[bmi > 23], tells NumPy to return a new 1D array containing only the elements whose mask value is True. This approach is heavily emphasized in scientific computing curricula because it expresses selection logic without explicit loops and runs efficiently in optimized compiled code.
Option B looks close but is not standard NumPy usage. The function commonly used is np.where(condition) or np.where(condition, x, y). While np.where(bmi > 23) can return indices, bmi.where(...) is not a NumPy array method; it is more associated with pandas objects. Options A and C are not valid NumPy APIs for filtering.
Boolean indexing is central in data analysis tasks such as removing invalid measurements, selecting a population subgroup, applying thresholds, and building feature subsets. It composes cleanly with vectorized computation, for example bmi[bmi > 23].mean(), enabling concise and high-performance numerical workflows.
33. Frage
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