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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Discrete Mathematics & Logic | 25% | - Proof techniques and mathematical induction - Boolean algebra and digital logic - Propositional and predicate logic - Set theory, relations, functions |
| Topic 2: Computer Architecture & Organization | 15% | - Von Neumann architecture - Instruction sets and execution cycles - CPU, memory, I/O systems - Memory hierarchy and performance |
| Topic 3: Data Structures | 20% | - Data storage and retrieval principles - Trees, graphs, hash tables - Arrays, linked lists, stacks, queues - Primitive and composite data types |
| Topic 4: Algorithms & Complexity | 25% | - Recursion and iterative structures - Sorting and searching algorithms - Algorithm design and analysis - Big O notation, time and space complexity |
| Topic 5: Software Engineering & Programming Basics | 15% | - Programming paradigms - Basic syntax and control structures - Testing and debugging fundamentals - Software development lifecycle |
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NEW QUESTION # 51
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 # 52
Which protocol provides encryption while email messages are in transit?
Answer: B
Explanation:
"Encryption in transit" means protecting data while it moves across a network so that eavesdroppers cannot read or modify it. For email systems, this protection is most commonly provided byTLS (Transport Layer Security). TLS is a cryptographic protocol that can wrap application protocols (including mail protocols) to provide confidentiality, integrity, and server (and sometimes client) authentication. In practice, TLS is used to secure connections such as SMTP submission (often with STARTTLS or implicit TLS), IMAP over TLS, and POP3 over TLS. Textbooks present TLS as the standard successor to SSL and the foundation of secure communication on the modern Internet.
The other options are not correct in this context. FTP is a file transfer protocol and is traditionally unencrypted unless paired with additional security mechanisms (e.g., FTPS, which uses TLS, or SFTP, which uses SSH). HTTP is a web protocol; it becomes encrypted only when used as HTTPS, which again relies on TLS underneath. IMAP is an email retrieval protocol, butIMAP itself is not the encryption protocol- IMAP can be run over TLS (IMAPS) to become secure.
Therefore, the protocol that provides encryption while email messages (or email protocol traffic) are in transit is TLS.
NEW QUESTION # 53
What is the first step in the selection sort algorithm?
Answer: B
Explanation:
Selection sort works by growing a sorted portion of the list one element at a time. The algorithm conceptually divides the array into two regions: asorted prefixon the left and anunsorted suffixon the right. At the beginning, the sorted prefix is empty and the entire list is unsorted. The first step is to consider position 0 as the target location for the smallest element. The algorithm scans the unsorted region (initially the whole list) to find the smallest valueand records its index. That action is exactly what option C describes: determine the lowest value starting from the first position.
After identifying the minimum element, selection sort swaps it into position 0 (if it isn't already there). Then it repeats the process for position 1, scanning the remaining unsorted suffix to find the next smallest element, swapping it into place, and so on. Textbooks emphasize that the key characteristic of selection sort is the repeated "select min (or max) from unsorted region and place it into the sorted region." Option A is not the standard first step; finding both min and max is unnecessary. Option B describes an unrelated swap that doesn't ensure progress toward sorting. Option D is not a "first step" but rather a different ordering goal; selection sort can be adapted for descending order, but the canonical version begins by selecting the minimum for the first position.
NEW QUESTION # 54
Which aspect is excluded from a NumPy array's structure?
Answer: B
Explanation:
A NumPy ndarray is designed for efficient numerical computing, and its structure is defined by metadata required to interpret a contiguous (or strided) block of memory as an n-dimensional array. Textbooks and NumPy's own conceptual model describe key components such as: adata buffer(where the raw bytes live), a data pointer(reference to the start of that buffer), thedtype(which specifies how to interpret each element's bytes-e.g., int32, float64), theshape(the size in each dimension), andstrides(how many bytes to step in memory to move along each dimension). Together, these allow fast indexing, slicing, and vectorized operations without Python-level loops.
Options A, B, and C are all part of what an array must track to function correctly: the array must know where its data is, how it is laid out (shape/strides), and how to interpret bytes (dtype). In contrast, anencryption key is not a concept that belongs to the internal representation of a numerical array. Encryption is a security mechanism applied at storage or transport layers (for example, encrypting a file on disk or encrypting data sent over a network), not something built into the in-memory structure of a NumPy array object.
Therefore, the aspect excluded from a NumPy array's structure is the encryption key.
NEW QUESTION # 55
What is the main advantage of using NumPy arrays over regular Python lists for data analysis?
Answer: D
Explanation:
The primary advantage of NumPy arrays in data analysis is their support for fast, vectorized computation over whole collections of numeric data. A NumPy `ndarray` stores elements in a contiguous memory block with a single, fixed data type, enabling efficient low-level operations implemented in optimized C/Fortran code. As a result, expressions like `arr + 5`, `arr * arr`, or `np.mean(arr)` operate over the entire array without explicit Python loops. This style is commonly called **vectorization**, and it is a central theme in scientific computing textbooks because it is both clearer to read and significantly faster for large datasets.
Option A describes a property of Python lists, not NumPy arrays. Python lists can mix types freely, but this flexibility comes with overhead. Option B is true-NumPy arrays typically hold a single dtype-but it is not the main advantage; it is more of an implementation feature that enables speed and memory efficiency.
Option D is not a defining advantage; both lists and arrays can be concatenated, and NumPy provides dedicated functions such as `np.concatenate`, but concatenation is not the core reason NumPy dominates data analysis workflows.
# Because NumPy operations are applied element-wise across entire arrays and can leverage CPU vector instructions and efficient memory access patterns, they form the foundation for higher-level tools like pandas, SciPy, and many machine learning libraries. This is why the best answer is that NumPy arrays can perform calculations over entire collections of values.
NEW QUESTION # 56
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