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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Software Engineering & Programming Basics | 15% | - Testing and debugging fundamentals - Programming paradigms - Software development lifecycle - Basic syntax and control structures |
| Topic 2: Algorithms & Complexity | 25% | - Big O notation, time and space complexity - Recursion and iterative structures - Sorting and searching algorithms - Algorithm design and analysis |
| Topic 3: Computer Architecture & Organization | 15% | - Instruction sets and execution cycles - Memory hierarchy and performance - CPU, memory, I/O systems - Von Neumann architecture |
| Topic 4: Data Structures | 20% | - Arrays, linked lists, stacks, queues - Primitive and composite data types - Trees, graphs, hash tables - Data storage and retrieval principles |
| Topic 5: Discrete Mathematics & Logic | 25% | - Propositional and predicate logic - Boolean algebra and digital logic - Proof techniques and mathematical induction - Set theory, relations, functions |
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NEW QUESTION # 65
How can someone subset the last two rows and columns of a 2D NumPy array?
Answer: B
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 # 66
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 # 67
What happens if one element of a NumPy array is changed to a string?
Answer: A
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 # 68
Which Python function would be used to check the data type of a variable bmi?
Answer: A
Explanation:
Python provides the built-in function `type()` to determine the data type (more precisely, the class) of an object. Because Python is dynamically typed, variable names are references to objects, and the object itself carries its type information at runtime. Calling `type(bmi)` returns a type object such as `<class 'int'>`, `<class
'float'>`, or `<class 'str'>` depending on what value is currently bound to the name `bmi`. This is the standard, textbook-approved method for checking an object's type in Python.
Option C, `typeof(bmi)`, is common in JavaScript, not Python. Options A and B are not standard Python built- ins; they might exist in user code or other languages, but not in Python's core language. In typical coursework and professional usage, `type()` is the correct function.
Textbooks also discuss how `type()` differs from `isinstance()`. While `type()` directly reports the object's class, `isinstance(bmi, float)` is often preferred when you want to allow subclass relationships. For example, in object-oriented programming, a subclass instance should often be treated as an instance of its parent class, which `isinstance` supports. However, when the question asks specifically for the function used to "check the data type," the expected answer is `type()`.
# Understanding type inspection helps with debugging, writing robust functions, and reasoning about operations that are valid for different data types.
NEW QUESTION # 69
What will the expression fam[3:6] return?
Answer: A
Explanation:
Python slicing follows the rule `sequence[start:stop]`, where the `start` index is **inclusive** and the `stop` index is **exclusive**. This convention is taught widely because it makes many algorithms and boundary cases simpler: the length of the slice is `stop - start` (when step is 1), and adjacent slices can partition a sequence without overlap. For a list named `fam`, the slice `fam[3:6]` starts at index 3 and includes the elements at indices 3, 4, and 5, but it stops before index 6.
This is a frequent source of off-by-one errors for beginners, so textbooks emphasize remembering: "start is included, stop is not." If `fam` had at least 6 elements, then `fam[3:6]` would produce a new list of exactly three elements (positions 3, 4, 5). If `fam` had fewer than 6 elements, Python would still return a valid slice up to the end without raising an error, because slicing is designed to be safe within bounds.
# Option A is incorrect because it skips index 3 and incorrectly includes index 6. Option B is incorrect because it includes index 6, which the stop boundary excludes. Option D is incorrect because slicing returns a sublist, not a single element; a single element would require indexing like `fam[6]`.
NEW QUESTION # 70
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