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| Section | Weight | Objectives |
|---|---|---|
| Algorithms & Complexity | 25% | - Big O notation, time and space complexity - Sorting and searching algorithms - Algorithm design and analysis - Recursion and iterative structures |
| Data Structures | 20% | - Arrays, linked lists, stacks, queues - Data storage and retrieval principles - Trees, graphs, hash tables - Primitive and composite data types |
| Computer Architecture & Organization | 15% | - Memory hierarchy and performance - Von Neumann architecture - Instruction sets and execution cycles - CPU, memory, I/O systems |
| Discrete Mathematics & Logic | 25% | - Proof techniques and mathematical induction - Propositional and predicate logic - Boolean algebra and digital logic - Set theory, relations, functions |
| Software Engineering & Programming Basics | 15% | - Programming paradigms - Basic syntax and control structures - Software development lifecycle - Testing and debugging fundamentals |
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NEW QUESTION # 54
How can someone subset the last two rows and columns of a 2D NumPy array?
Answer: C
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 # 55
What is the output of print(employees[3]) when employees = ["Anika", "Omar", "Li", "Alex"]?
Answer: A
Explanation:
Python lists are ordered sequences indexed starting from 0. This zero-based indexing is standard in many programming languages and is a core concept in data structures. For the list `employees = ["Anika", "Omar",
"Li", "Alex"]`, the mapping of indices to elements is: index 0 # "Anika", index 1 # "Omar", index 2 # "Li", index 3 # "Alex". Therefore, the expression `employees[3]` selects the element at index 3, which is `"Alex"`, and `print(employees[3])` outputs `Alex` (strings print without quotes in normal output).
Option A would be correct for `employees[1]`, option D would be correct for `employees[2]`, and option C would be correct for `employees[0]`. This kind of question tests understanding of list indexing, which is essential for iteration, slicing, and algorithm implementation.
# Textbooks also note the difference between indexing and slicing: indexing returns a single element, while slicing returns a sublist. Here, because square brackets contain a single integer index, it is indexing. If you attempted an index that is out of range, Python would raise an `IndexError`, which reinforces careful reasoning about list length and positions. Understanding these fundamentals is critical for correctly manipulating datasets, where row/column positions and offsets frequently matter.
NEW QUESTION # 56
What is the expected output of calling .shape on a NumPy 2D array?
Answer: A
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 # 57
What statistical measure can be used to detect outliers in a dataset using NumPy?
Answer: C
Explanation:
Outlier detection often relies on measuring how far values deviate from a "typical" center. While variance and standard deviation can be used in simple z-score based methods, they arenot robust: a few extreme outliers can inflate the mean and standard deviation, masking the very outliers you want to find. A widely taught robust alternative is themedian absolute deviation (MAD), which is based on the median rather than the mean and therefore resists distortion by extreme values.
MAD is computed by first taking the median of the data, then computing the absolute deviation of each point from that median, and finally taking the median of those deviations. Because medians are stable under extreme values, MAD provides a strong baseline for identifying unusually distant points. Many textbooks and data analysis references present MAD as a robust scale estimator for outlier detection, often combined with a threshold rule such as flagging points whose deviation exceeds a constant multiple of MAD (with a scaling factor sometimes used to make it comparable to standard deviation under normality assumptions).
In NumPy, you can implement MAD using np.median() and np.abs(). Mode is generally not useful for continuous numeric outlier detection, and variance/standard deviation are more sensitive to outliers than MAD. Thus, among the given options, the best statistical measure for detecting outliers robustly is the median absolute deviation.
NEW QUESTION # 58
Which brand of Type 1 hypervisor is commonly used to create virtual machines?
Answer: B
Explanation:
AType 1 hypervisor, also called abare-metal hypervisor, runs directly on the host machine's hardware rather than on top of a general-purpose operating system. This design is widely described in virtualization textbooks because it improves performance and isolation: the hypervisor controls CPU scheduling, memory management, and I/O virtualization with minimal overhead from an intermediate OS layer. Type 1 hypervisors are therefore common in servers and data centers.
Among the options,VMware ESXiis the well-known Type 1 hypervisor product. It is installed directly onto physical server hardware and provides the virtualization layer used to run multiple virtual machines. In contrast, Parallels Desktop, VirtualBox, and VMware Workstation are typically categorized asType 2 hypervisors, meaning they run as applications on top of a host operating system like Windows, macOS, or Linux. Type 2 hypervisors are excellent for desktops, development, testing, and learning, but they generally rely on the host OS for device drivers and resource management, which can add overhead.
This distinction matters in practice: data centers favor Type 1 hypervisors for efficiency, centralized management, and robust isolation between workloads. Desktop users often choose Type 2 hypervisors for convenience and easier installation. Therefore, the commonly used Type 1 hypervisor brand listed here is VMware ESXi.
NEW QUESTION # 59
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