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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Algorithms & Complexity | 25% | - Algorithm design and analysis - Sorting and searching algorithms - Big O notation, time and space complexity - Recursion and iterative structures |
| Topic 2: Software Engineering & Programming Basics | 15% | - Programming paradigms - Basic syntax and control structures - Testing and debugging fundamentals - Software development lifecycle |
| Topic 3: Computer Architecture & Organization | 15% | - Instruction sets and execution cycles - Von Neumann architecture - Memory hierarchy and performance - CPU, memory, I/O systems |
| Topic 4: Discrete Mathematics & Logic | 25% | - Boolean algebra and digital logic - Set theory, relations, functions - Proof techniques and mathematical induction - Propositional and predicate logic |
| Topic 5: Data Structures | 20% | - Trees, graphs, hash tables - Primitive and composite data types - Arrays, linked lists, stacks, queues - Data storage and retrieval principles |
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NEW QUESTION # 20
What is the expected output of calling .shape on a NumPy 2D array?
Answer: D
Explanation:
In NumPy, every ndarray has a shape attribute that describes the size of the array along each dimension. For a
2D array, shape returns a tuple with two integers: (number_of_rows, number_of_columns). For example, if a
= np.array([[1, 2, 3], [4, 5, 6]]), then a.shape is (2, 3), meaning 2 rows and 3 columns. This is a fundamental idea in matrix and array computing, because shape governs how indexing, slicing, broadcasting, and linear algebra operations behave.
Option A describes the dtype, which can be accessed with a.dtype, not a.shape. Option C is incorrect because shape provides per-dimension sizes, not their sum. Option D refers to the total number of elements, which NumPy provides via a.size (or equivalently np.prod(a.shape)).
Textbooks emphasize shape because many errors in numerical computing come from mismatched dimensions. For example, matrix multiplication requires compatible inner dimensions, and broadcasting rules depend on dimension sizes. By checking .shape, programmers can verify their data layout before applying algorithms, ensuring rows represent observations and columns represent features (or vice versa). Thus, for a 2D NumPy array, .shape indicates the number of rows and columns.
NEW QUESTION # 21
Which Python function would be used to check the data type of a variable bmi?
Answer: C
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 # 22
How is a NumPy array named data with 6 elements reshaped into a 2x3 array?
Answer: D
Explanation:
Reshaping is the operation of changing the "view" of an array so that the same elements are arranged with new dimensions. In NumPy, reshaping is possible when the total number of elements stays the same. A 2x3 array contains 6 elements, so a 1D array data of length 6 can be reshaped into shape (2, 3) without adding or removing values. Textbooks stress this invariant: the product of the dimensions must equal the original size.
NumPy provides two standard reshaping interfaces: the function np.reshape(data, (2, 3)) and the method data.
reshape(2, 3) (or data.reshape((2, 3))). Option A is correct because it uses the official NumPy function with the proper arguments: the original array and the target shape. The shape is passed as a tuple describing rows and columns.
Option B is incorrect because np_reshape is not the correct NumPy function name, and it references an unrelated identifier list. Option C is incorrect because NumPy arrays do not provide a set_shape method like that. Option D is not valid NumPy syntax for reshaping.
Reshaping is fundamental in data analysis and machine learning: it converts flat vectors into matrices, prepares batches of samples, and aligns dimensions for matrix multiplication and broadcasting.
NEW QUESTION # 23
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: B
Explanation:
Ahypervisoris the software layer that enables virtualization-running multiple operating systems concurrently on the same physical hardware as separate, isolated virtual machines (VMs). Operating systems textbooks describe the hypervisor as managing and multiplexing core hardware resources such as CPU, memory, storage, and I/O devices among multiple guest operating systems. Each VM behaves as if it has its own hardware, while the hypervisor enforces isolation and schedules resource usage.
Hypervisors come in two broad categories.Type 1 (bare-metal)hypervisors run directly on the hardware (common in data centers), whileType 2 (hosted)hypervisors run as applications on top of a host OS (common on desktops). In both cases, the hypervisor is the key tool that makes "more than one OS at a time" possible.
System Restore is a recovery feature, not a virtualization platform. A partition manager can split a disk into multiple partitions, which can support dual-boot setups, but that runs only one OS at a time, not concurrently as VMs. A bootloader selects which OS to start at boot time; again, that is not simultaneous virtualization. Therefore, the correct tool that allows running multiple operating systems simultaneously as virtual machines is the hypervisor.
NEW QUESTION # 24
What is the expected output of numpy_array[1]?
Answer: A
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 # 25
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