All India Computer Science Engineering (CSE) Group

Let P and Q be two propositions, ¬(P↔Q) is equivalent to:
  1. P ↔ ¬ Q
  2. ¬ P↔  Q
  3. ¬ P ↔ ¬ Q
  4. Q ↔ P
  • a)
    1 and 2 
  • b)
    2 and 3
  • c)
    3 and 4
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Anand Chatterjee answered  •  1 hour ago
Understanding the Problem
The proposition ¬(P↔Q) means "not (P if and only if Q)." We need to determine its equivalence with the provided options.
Logical Equivalence Explanation
1. Definition of Biconditional (P ↔ Q):
- P ↔ Q is true if both P and Q are either true or false. It is false if one is true and the other is false.
2.
... more:
- ¬(P ↔ Q) is true when P and Q have different truth values (i.e., one is true, and the other is false).
3. Analyzing the Options:
- Option 1: P ↔ ¬Q
- This means P is true if and only if Q is false. This is equivalent to saying that P and Q have different truth values.
- Option 2: ¬ P ↔ Q
- This means "not P" is true if and only if Q is true, which also indicates that P and Q have different truth values.
- Option 3: ¬ P ↔ ¬ Q
- This means "not P" is true if and only if "not Q" is true, indicating that both are either true or false. Therefore, they do not have different truth values.
- Option 4: Q ↔ P
- This is equivalent to P ↔ Q, and thus is not negated.
Conclusion
From the analysis, we see that ¬(P↔Q) is equivalent to:
- Option 1 (P ↔ ¬Q)
- Option 2 (¬ P ↔ Q)
Hence, the correct answer is option 'A' (1 and 2).
This demonstrates that the negation of a biconditional statement effectively captures the conditions where the propositions differ in truth value.

Different cases of the implementation of sparse matrices are given in the options. Choose the correct option in which the implementation of linked list consumes the same amount of space for memory as when an entire array is sorted in conventional way. (Let all data types require same memory space.)
  • a)
    6 x 5 matrix with 9 non-zero entries
  • b)
    6 x 5 matrix with 8 non-zero entries 
  • c)
    5 x 6 matrix with 8 non-zero entries
  • d)
    5 x 6 matrix with 9 non-zero entries
Correct answer is option 'B'. Can you explain this answer?

Shubham Chawla answered  •  5 hours ago
Understanding Sparse Matrices and Memory Consumption
Sparse matrices are data structures that efficiently store matrices with a majority of zero entries. When implementing sparse matrices using linked lists, memory usage can vary significantly based on the number of non-zero entries.
Memory Calculation for Sparse Matrices
1. Linked List Implementation:
- A
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Consider a disk I/O transfer, in which 1500 bytes are to be transferred. But the number of bytes on a track is 1000, and notation speed of disk is 1500 rps. The average time required to move the disk arm to the required track is 15 ms. What will be the total access time (in ms)? (Answer up to two decimal places)
    Correct answer is '16.33'. Can you explain this answer?

    Devanshi Desai answered  •  8 hours ago
    Total Access Time Calculation
    To calculate the total access time for the disk I/O transfer of 1500 bytes, we will consider three main components: seek time, rotational delay, and transfer time.
    1. Seek Time
    - The average time required to move the disk arm to the required track is given as 15 ms.
    - This is a fixed component of the total access time.
    ... more

    Which of the following statements are CORRECT?
    1) Static allocation of all data areas by a compiler makes it impossible to implement recursion.
    2) Automatic garbage collection is essential to implement recursion
    3) Dynamic allocation of activation records is essential to implement recursion
    4) Both heap and stack are essential to implement recursion
    • a)
      1 and 2 only 
    • b)
      2 and 3 only 
    • c)
      3 and 4 only 
    • d)
      1 and 3 only 
    Correct answer is option 'D'. Can you explain this answer?

    Shounak Sharma answered  •  14 hours ago
    Understanding Recursion and Memory Allocation
    Recursion is a fundamental concept in computer science where a function calls itself to solve a problem. The implementation of recursion relies heavily on memory management techniques. Let's evaluate the correctness of the statements provided:
    1) Static Allocation of All Data Areas by a Compiler Makes It Impossible to Implement Recu
    ... more
    - Static allocation reserves memory at compile time and does not allow for dynamic changes during execution.
    - This limitation indeed makes it impossible to handle multiple recursive calls, as all instances of a recursive function would try to use the same memory space.
    2) Automatic Garbage Collection is Essential to Implement Recursion
    - While garbage collection helps manage memory efficiently, it is not essential for recursion.
    - Recursion can function without garbage collection, as long as the memory for each function call is properly managed.
    3) Dynamic Allocation of Activation Records is Essential to Implement Recursion
    - Activation records (or stack frames) hold information about function calls, including local variables and return addresses.
    - Dynamic allocation of these records allows for multiple instances of a recursive function to exist simultaneously, making this statement correct.
    4) Both Heap and Stack are Essential to Implement Recursion
    - Recursion primarily uses the stack for managing function calls.
    - The heap is not essential for recursion, as it is typically used for dynamic memory allocation not related to function call management.
    Conclusion
    Based on the analysis:
    - Statements 1 and 3 are correct.
    - Therefore, the correct answer is option 'D' (1 and 3 only).
    This highlights the critical importance of stack management in recursion, while clarifying that garbage collection and heap memory are not strictly necessary for recursive function execution.

    Consider the following program of ‘C’
    main ( )
    {
    static int a [ ] = { 1, 2, 3, 4, 5, 6, 7, 8 } ;
    int i;
    for(i = 2; I < 6; ++i)
    a [a [i] ] = a [i];
    for (I = 0; I < 8 ; ++i)
    printf (“%d”, a[i]);
    }
    The output of the program is :
    • a)
      1 2 3 4 5 6 7 8
    • b)
      1 2 3 3 5 5 7 8
    • c)
      1 2 2 3 3 4 4 8
    • d)
      None of the above
    Correct answer is option 'B'. Can you explain this answer?

    Shounak Sharma answered  •  14 hours ago
    Program Analysis
    The given C program initializes a static array and modifies it using a loop. Let's break down the steps to understand how the output is generated.
    Initialization
    - The static array `a` is initialized as follows:
    a = {1, 2, 3, 4, 5, 6, 7, 8}
    Loop Execution
    - The program contains a loop that starts with `i = 2` and runs while `i <
    ... more

    The correct syntax for initialization of a one-dimensional array is _________.
    • a)
      ​num[4] = {1,2,3,4};
    • b)
      num[4] = 0
    • c)
      num[4] = {1 2 3 4};
    • d)
      num[4] = {1;2;3;4};
    Correct answer is option 'A'. Can you explain this answer?

    Shounak Sharma answered  •  14 hours ago
    Understanding Array Initialization
    In C and C++, initializing a one-dimensional array correctly is crucial for proper memory allocation and data handling. The correct syntax for initializing an array can be summarized as follows:
    Correct Syntax
    - The correct option for initializing a one-dimensional array is:
    - a) num[4] = {1, 2, 3, 4};
    Explanation
    ... more
    - Option a:
    - This option is correct as it defines an array `num` of size 4 and initializes it with the values 1, 2, 3, and 4.
    - The syntax `num[4]` indicates that the array has four elements, and the curly braces `{}` are used to provide the initial values.
    - Option b:
    - This option is incorrect because `num[4] = 0` attempts to assign a single value (0) to an entire array, which is not valid.
    - Option c:
    - This option is incorrect as it lacks a comma between the elements. The correct format requires commas to separate the values within the braces.
    - Option d:
    - This option is also incorrect because it uses semicolons instead of commas to separate the values, which is syntactically wrong in array initialization.
    Conclusion
    To summarize, the initialization of a one-dimensional array must follow specific syntax rules. Option 'a' correctly uses curly braces and commas to define the initial values, making it the suitable choice for array initialization. Understanding these rules is essential for effective programming in C and C++.

    Consider the C function given below.
    int f(int j)
    {
      static int i = 50;
      int k;
      if (i == j)
      {
        printf(“something”);
        k = f(i);
        return 0;
      }
      else return 0;
    }
    Which one of the following is TRUE?
    • a)
      The function returns 0 for all values of j.
    • b)
      The function prints the string something for all values of j.
    • c)
      The function returns 0 when j = 50.
    • d)
      The function will exhaust the runtime stack or run into an infinite loop when j = 50
    Correct answer is option 'D'. Can you explain this answer?

    Shounak Sharma answered  •  14 hours ago
    Understanding the Function Behavior
    The function `f(int j)` contains a static variable `i` initialized to 50. It checks if `i` equals `j` and behaves differently based on this condition.
    Function Execution Flow
    - When `f` is called with `j = 50`:
    - `i` is 50, so the condition `if (i == j)` is true.
    - It prints "something".
    - It then calls itself recur
    ... more

    Consider a system has hit ratio as h%. Average access time to service a page fault is s milliseconds and average effective memory access time is e in milliseconds. What is the memory access time in microseconds (m is considered with service time)?
    • a)
      100 × (10 × (s - e) + s × h)
    • b)
      1000 × e - 1000 × s + 100 × s × h 
    • c)
      10 × (100 × (e - s) + s × h) 
    • d)
      100 × (10 × (e - s) + s × h)
    Correct answer is option 'C'. Can you explain this answer?

    Sanchita Pillai answered  •  22 hours ago
    Understanding Memory Access Time
    To find the memory access time (m) that includes the service time, we need to consider the hit ratio (h), average access time for a page fault (s), and effective memory access time (e).
    Key Concepts
    - Hit Ratio (h%): The percentage of time that a requested page is found in memory.
    - Page Fault Service Time (s): The ti
    ... more

    Consider a hypothetical system with byte-addressable memory, 64-bit logical addresses, 8 Megabyte page size and page table entries of 16 bytes each. What is the size of the page table in the system in terabytes?
    • a)
      32-32
    • b)
      324-321
    • c)
      327-326
    • d)
      329-322
    Correct answer is option 'A'. Can you explain this answer?

    Sanchita Pillai answered  •  22 hours ago
    Understanding the System Components
    - Logical Address Space: The system has a 64-bit logical address space, which means it can address 2^64 bytes of memory.
    - Page Size: Each page in this system is 8 Megabytes (MB). This is equivalent to 2^23 bytes (since 1 MB = 2^20 bytes).
    - Page Table Entry Size: Each page table entry is 16 bytes.
    Calculating t
    ... more
    - Total Memory: The total memory addressable by the system is 2^64 bytes.
    - Number of Pages: To find the number of pages, divide the total addressable memory by the page size:
    - Number of pages = Total addressable memory / Page size
    - Number of pages = 2^64 bytes / 2^23 bytes = 2^(64-23) = 2^41 pages.
    Calculating the Page Table Size
    - Size of the Page Table: The size of the page table can be calculated by multiplying the number of pages by the size of each page table entry:
    - Page table size = Number of pages * Size of each page table entry
    - Page table size = 2^41 pages * 16 bytes = 2^41 * 2^4 = 2^45 bytes.
    Converting to Terabytes
    - Bytes to Terabytes Conversion:
    - 1 Terabyte (TB) = 2^40 bytes.
    - Therefore, Page table size in TB = Page table size in bytes / 2^40 bytes = 2^45 / 2^40 = 2^5 = 32 TB.
    Conclusion
    The size of the page table in this system is 32 Terabytes, confirming that option 'A' is indeed correct.

    A system has 12 identical resources and Y processes competing for them. Each process can request at most 3 resources. Which one of the following values of Y could lead to a deadlock?
    • a)
      5
    • b)
      6
    • c)
      7
    • d)
      Both 6 and 7
    Correct answer is option 'D'. Can you explain this answer?

    Sanchita Pillai answered  •  22 hours ago
    Understanding Deadlock in Resource Allocation
    Deadlock occurs in a system when processes are unable to proceed because each is waiting for resources held by another. In this scenario, we analyze the potential for deadlock with 12 identical resources and Y processes, where each process can request a maximum of 3 resources.
    Maximum Resources Requested
    - Each process can
    ... more

    In a database, a rule is defined as (P1 and P2) or P3? R1 (0.8) and R2 (0.3), where P1, P2, P3 are premises and R1. R2 are conclusions of rules with certainty factors (CF) 0.8 and 0.3 respectively. If any running program has produced P1, P2, P3 with CF as 0.5, 0.8. 0.2 respectively, find the CF of results on the basis of premises.
    • a)
      CF (R1 = 0.8), CF (R2 = 0.3)
    • b)
      CF (R1 = 0.40), CF (R2 = 0.15)
    • c)
      CF (R1 = 0.15), CF (R2 = 0.35)
    • d)
      CF (R1 = 0.8), CF (R2 = 0.35)
    Correct answer is option 'B'. Can you explain this answer?

    Sanchita Pillai answered  •  22 hours ago
    Understanding the Rule
    The rule defined is (P1 and P2) or P3, with conclusions R1 and R2 having certainty factors (CF) of 0.8 and 0.3 respectively. We need to evaluate the CF based on the CFs of the premises P1, P2, and P3.
    Premises and Their Certainty Factors
    - CF(P1) = 0.5
    - CF(P2) = 0.8
    - CF(P3) = 0.2
    Evaluating (P1 and P2)
    To find the CF
    ... more

    Which of the following is the antonym of the word SILENCE?
    • a)
      Attune
    • b)
      Babble
    • c)
      Achromatic
    • d)
      Aurora
       
    Correct answer is option 'B'. Can you explain this answer?

    Aaditya Ghosh answered  •  23 hours ago
    Understanding Antonyms
    Antonyms are words with opposite meanings. Identifying antonyms is crucial for vocabulary development and comprehension.
    Examining the Options
    Let's analyze the given options to determine which one is the antonym of "silence":
    • a) Attune: This means to bring into harmony or to adjust. It does not relate directly to the concept ... more
    • b) Babble: This refers to speaking rapidly and continuously in a foolish or excited way. It directly contrasts with silence, as it implies noise and chatter.
    • c) Achromatic: This means lacking color. It does not have any relation to sound or silence.
    • d) Aurora: This refers to a natural light display in the sky. It is unrelated to sound.

    Why "Babble" is the Correct Antonym
    - Definition of Silence: Silence is the absence of sound or noise. It denotes a state of quietness or stillness.
    - Definition of Babble: Babble represents a state of noise characterized by incoherent or rapid speech.
    - Contrast in Meaning: While silence signifies no sound, babble entails excessive and often chaotic noise. Thus, they are direct opposites.
    Conclusion
    In summary, the correct answer is option "b) Babble" as it embodies the opposite of silence by emphasizing sound and noise. Understanding such antonyms enhances language skills and comprehension.

     In which scheme does the data write via a buffer to the main memory?
    • a)
      write buffer
    • b)
      write-back
    • c)
      write-through
    • d)
      no caching of the write cycle
    Correct answer is option 'A'. Can you explain this answer?

    Sanchita Pillai answered  •  23 hours ago
    Understanding Write Buffer
    The process of writing data to main memory can be optimized through various caching techniques. One such method is the use of a write buffer, which facilitates efficient data transfer.
    What is a Write Buffer?
    - A write buffer is a temporary storage area that holds data before it is written to the main memory.
    - This mechanism allo
    ... more

    Which of the following statements is false?
    • a)
      Whenever the CPU becomes idle, the operating system must select one of the processes in the ready queue to be executed. The selection process is carried out by the short-term scheduler.
    • b)
      Turnaround time is the sum of the periods spent waiting to get into memory, waiting in the ready queue, executing on the CPU, and doing I/0. 
    • c)
      It is desirable to minimize CPU utilization and throughput and to maximize turnaround time, waiting time, and response time. 
    • d)
      Waiting time is the sum of the periods spent waiting in the ready queue. 
    Correct answer is option 'C'. Can you explain this answer?

    Sanchita Pillai answered  •  23 hours ago
    Understanding the False Statement
    The false statement among the options is (C). Let’s break down why this is incorrect.
    Misconception in Statement (C)
    - The statement claims that it is desirable to minimize CPU utilization and throughput while maximizing turnaround time, waiting time, and response time.
    - In reality, the
    ... more

    A and B are the only two host on a LAN which uses CSMA/CD protocol. A minimum time required by ‘A’ to detect collision is 600 μs. Find the time taken by the packet to travel from host A to host B.
      Correct answer is '300'. Can you explain this answer?

      Sanchita Pillai answered  •  23 hours ago
      Understanding CSMA/CD Protocol
      In a network using the CSMA/CD (Carrier Sense Multiple Access with Collision Detection) protocol, hosts A and B share the same communication medium. The collision detection mechanism is crucial for ensuring data integrity during transmission.
      Minimum Time to Detect Collision
      - The minimum time required by host A to detect a collision is g
      ... more
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