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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Discrete Mathematics & Logic | 25% | - Set theory, relations, functions - Proof techniques and mathematical induction - Boolean algebra and digital logic - Propositional and predicate logic |
| Topic 2: Algorithms & Complexity | 25% | - Big O notation, time and space complexity - Sorting and searching algorithms - Recursion and iterative structures - Algorithm design and analysis |
| Topic 3: Computer Architecture & Organization | 15% | - Instruction sets and execution cycles - CPU, memory, I/O systems - Memory hierarchy and performance - Von Neumann architecture |
| Topic 4: Software Engineering & Programming Basics | 15% | - Software development lifecycle - Testing and debugging fundamentals - Basic syntax and control structures - Programming paradigms |
| Topic 5: Data Structures | 20% | - Trees, graphs, hash tables - Primitive and composite data types - Data storage and retrieval principles - Arrays, linked lists, stacks, queues |
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NEW QUESTION # 53
What is the built-in data structure that implements a hash table in Python?
Answer: C
Explanation:
A hash table is a data structure that supports fast lookup, insertion, and deletion by using ahash functionto map keys to positions in an underlying storage structure. In Python, the built-in data structure that provides hash-table behavior is thedictionary, written with curly braces like {"a": 1, "b": 2}. Dictionaries store key- value pairs and are designed so that accessing a value by key, such as d["a"], is efficient on average.
Textbooks typically describe this expected efficiency as average-case constant time, often written as O(1), assuming a good hash function and a well-managed table size.
Tuples and lists are sequence types. Lists provide indexed access by integer position, not hashing by arbitrary keys. Tuples are immutable sequences and likewise do not provide key-based hashing semantics. "Array" is not the core built-in mapping structure in Python; while Python has an array module and NumPy has arrays, neither is the built-in hash table abstraction for general key-value storage.
Python dictionaries require keys to be hashable, meaning the key's hash value is stable during its lifetime (common examples: strings, numbers, tuples of hashable items). This requirement is directly tied to hash-table implementation. Dictionaries are used throughout computer science applications:
symbol tables in interpreters, caches and memoization, frequency counting, indexing, and implementing graphs via adjacency maps.
NEW QUESTION # 54
Which Windows 11 tool enables a user to manually add a Bluetooth device if it does not automatically configure when first connected?
Answer: C
Explanation:
When a Bluetooth device does not configure automatically, the underlying issue is often driver discovery, device enumeration, or the Bluetooth adapter's state. In Windows, the tool traditionally associated with manually managing hardware devices and their drivers isDevice Manager. It lets a user view hardware categories (including Bluetooth adapters), enable or disable devices, update drivers, uninstall and rescan, and address "unknown device" situations. These actions are core to manual configuration because they influence whether Windows can properly recognize and communicate with a Bluetooth device.
Windows 11 pairing itself is typically initiated from the Settings app under Bluetooth and devices, where a user chooses "Add device" to pair a new accessory. (Microsoft Support) However, among the options provided, only Device Manager is a hardware-configuration tool that can resolve situations where automatic configuration fails due to driver or adapter problems. Network-related tools do not handle local device drivers, Task Scheduler automates tasks rather than adding devices, and Windows Defender is focused on security and malware protection rather than device setup.
From a systems perspective, this reflects a key operating-systems concept: successful device use requires both discovery/pairing and a correctly installed driver stack. Device Manager is the standard interface for the driver and device side of that equation, which is why it is the best match to "manually add or configure" hardware in the given choices.
NEW QUESTION # 55
Which type of sorting algorithm starts at the first position and moves the pointer until the end of the list, determining the lowest value?
Answer: C
Explanation:
Selection sort is the algorithm that repeatedly scans the unsorted portion of a list to find the lowest (or highest) value and then places it into its correct position in the sorted portion. It begins at the first index (position 0) and treats that as the boundary between sorted and unsorted regions. On the first pass, it moves a scanning pointer through the entire list to determine the minimum element and swaps it into position 0. On the second pass, it starts from position 1, scans to the end to find the next minimum, and swaps it into position 1.
This continues until the list is sorted.
This matches the question's description: "starts at the first position and moves the pointer until the end of the list, determining the lowest value." Textbooks often describe selection sort with two indices: one for the current boundary position and one for scanning the remainder of the list to find the minimum. The algorithm is simple and uses O(1) extra space, but it is inefficient for large lists because it performs O(n²) comparisons regardless of input order.
The other options are not standard algorithm names in typical computer science curricula. While many sorting algorithms exist (insertion sort, merge sort, quicksort, heap sort), "incremental," "progressive," and "pointer sort" are not canonical textbook algorithms in this context. Therefore, the correct answer is selection sort.
NEW QUESTION # 56
What happens if one element of a NumPy array is changed to a string?
Answer: C
Explanation:
A central rule in NumPy is that an ndarray has a single, fixed data type called itsdtype. That dtype is chosen when the array is created (for example, int64, float64, etc.), and it normally does not change just because you assign a new value into one element. When you attempt an assignment, NumPy tries tocastthe assigned value into the array's existing dtype. If the cast is possible, the assignment succeeds; if the cast is impossible, NumPy raises an error.
So, if you have a numeric array such as arr = np.array([1, 2, 3]), its dtype is an integer type. Trying arr[0] =
"hello" cannot be converted into an integer, so NumPy raises a ValueError (a casting/conversion error). This is exactly the behavior textbooks highlight when contrasting NumPy arrays with Python lists: lists can hold mixed types freely, but NumPy arrays trade that flexibility for speed and memory efficiency via uniform typing.
Option A is a common misconception. While NumPy may "upcast" values to a more general dtype at array creation time when mixed types are provided (e.g., numbers and strings in the same constructor), a pre-existing numeric array will not automatically convert itself into a string array during a single- element assignment. Options C and D do not reflect NumPy's assignment rules.
NEW QUESTION # 57
What will be the result of performing the slice fam[:3]?
Answer: D
Explanation:
Python slicing uses the notation sequence[start:stop], where start is inclusive and stop is exclusive. When start is omitted, it defaults to 0, meaning the slice starts from the beginning of the sequence. Therefore, fam[:3] is equivalent to fam[0:3]. Because the stop index 3 is excluded, the slice includes elements at indices 0, 1, and
2-exactly the first three elements.
This convention is emphasized in programming textbooks because it makes many tasks natural and reduces boundary errors. For example, "take the first n items" is written as [:n], and "drop the first n items" is written as [n:]. The length of the slice is also easy to reason about: with step 1, it is stop - start, so here it is 3 - 0 = 3.
Option B is incorrect because including four elements would require fam[:4]. Option C would correspond to fam[:2]. Option D describes taking elements from the end, which would use negative indexing such as fam
[-3:].
Slicing is widely used for batching, windowing in algorithms, splitting datasets into training/testing segments, and extracting prefixes in parsing tasks. Understanding the inclusive start and exclusive stop rule is essential for correct Python programming.
NEW QUESTION # 58
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