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CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA 2024 PYQ


CUET PG MCA PYQ 2024
Consider implementation of database. Among the following options, choose the most appropriate data structure for this





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CUET PG MCA PYQ 2024
There are 200 students in a school out which 120 students play football, 50 students play cricket and 30 students play both football and cricket. The number of students who play one game only is:





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CUET PG MCA PYQ 2024
Which of the following are true: 
(A) Ogive graph is used to measure the median of the collection of datas. 
(B) Two events A and B are such that P(A) = 1/2 and P(B) = 7/12 and P(not A not B) = 1/4 then A and B are independent events. 
(C) Relation for mean, mode and median is given by Mode = 3 Median – 2 Mean. 
(D) The number of two–digits even number formed from digits 1,2,3,4,5 is 10
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
There are 15 points in a plane such that 5 points are collinear and no three of the remaining points are collinear then total number of straight lines formed are:





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CUET PG MCA PYQ 2024
Mach the List - 1 with List - II

List - I List - II
(A)Asynchronous (I) A pulse that cause a logic device to be activated or change state
(B)Trigger (II) The operation is not executed in step with the clock
(C) J-K Flip flop (III) Flip flop and atleast set, reset toggle and hold modes of operation
(D) D Flip flop (IV) Flip flop with atleast set and rest modes of operations.
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
Consider a system with 1K pages and 512 frames and each page is of size 2 KB. How many bits are required to represent the virtual address space memory:





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Solution

To determine the number of bits required to represent the virtual address space:
  • Number of pages = 1K = 210.
  • Page size = 2 KB = 211 bytes.
  • Virtual address space = Number of pages × Page size = 210×211=221 bytes.
  • Bits required =21 bits.

CUET PG MCA PYQ 2024
Match List I with List II 
 List - I (Domain) List - II (Range)
A. y=12sin3xI. (1,73]
B. y=x2+x+2x2+x+1,xRII. [π2,π)(π,3π2]
C. y=sinxcosxIII. [13,1]
D. y=cot1(x)tan1x+sec1xIV. [2,2]
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
Each node is having a successor node in ________________:





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CUET PG MCA PYQ 2024
How does the number of page frames affect and number of page faults for a given memory access pattern in FIFO page replacement algorithm?





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CUET PG MCA PYQ 2024
Arrange the following in increasing order of their per unit cost.
(A) DRAM 
(B) Magnetic disk 
(C) Optical disk 
(D) SRAM 
(E) Magnetic tape

Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
An equilateral triangle is inscribed in a parabola y2=8x whose one vertix is at the vertex of the parabola then the length of the side of the triangle is:





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CUET PG MCA PYQ 2024
If x1,x2,x3 as well as y1,y2,y3 are in G.P. with the same common ratio, then the points (x1,y1), (x2,y2) and (x3,y3)





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CUET PG MCA PYQ 2024
Match List – I with List – II
 List - I List - II
 (A) Flash Memory (I) Oldest and Slowest
 (B) PMOS(II) Used in large scale integration (LSI) 
 (C) NMOS (III) Least power consumption
(D) CMOS  (IV) Non volatile RAM which is powered continuously 
Choose the correct answer from the options given below:





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Solution

  1. Flash Memory (A):

    • Flash memory is a type of non-volatile RAM that retains data even when power is turned off. It is often used in devices like USB drives, SSDs, and memory cards.

  2. PMOS (B):

    • PMOS (P-type Metal-Oxide-Semiconductor) is one of the oldest and slowest types of MOSFET technology. It was widely used in early integrated circuits.

  3. NMOS (C):

    • NMOS (N-type Metal-Oxide-Semiconductor) is commonly used in large-scale integration (LSI) due to its faster switching speed compared to PMOS.

  4. CMOS (D):

    • CMOS (Complementary Metal-Oxide-Semiconductor) is known for its low power consumption because it uses both PMOS and NMOS transistors in a complementary way, reducing static power dissipation.


CUET PG MCA PYQ 2024
Match List – I with List – II
 List - I List - II
 (A) Eccentricity of the conic x24x+4y+4y2=12 (I) 10/3
 (B) Latus rectum of conic 5x2+9y2=45(II) 1
 (C) The straight line x+y=a touches the curve y=xx2 then value of a(III) 2
(D) Eccentricity of conic 3x2y2=4 (IV) 3/2 
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
The area of the region bounded by the curve y2=4x and x2=4y is





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CUET PG MCA PYQ 2024
The value of x satisfies the inequality |x1|+|x2|4 if





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CUET PG MCA PYQ 2024
Four students are sitting on a bench to be photogrpahed. Kamal is to the left of Amrita. Dipak is to the right of Amrita. Ankit is between Amrita and Dipak. Identify students sitting in corner’s of the bench?





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CUET PG MCA PYQ 2024
It has been established that 
(A) Aryabhatta was 
(B) Although a great mathematician
(C) Weak in science 
(D) Right from his school days. 
What will be sequence to make a correct statement from the above options





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CUET PG MCA PYQ 2024
Consider a completely skewed (left / right) binary search tree with n elements. What is the worst case time complexity of searching an element in this tree?





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CUET PG MCA PYQ 2024
If the parametric equation of a curve is given by x=etcost  and y=etsint then the tangent to the curve at the point t=π4 makes the angle with the axis of x is





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CUET PG MCA PYQ 2024
If we want to find last node of a singly linked list then the correct coding is





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CUET PG MCA PYQ 2024
If f(a+bx)=f(x) then baxf(x)dx is equal to





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CUET PG MCA PYQ 2024
If x2+1x2=2 then the value of x256+1x256





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CUET PG MCA PYQ 2024
Consider the system of linear equations as 2x + 2y + z = 1, 4x + ky + 2z = 2 and kx + 4y + z = 1 then choosethe correct statement(s) from blow 
(A) The system of equation has a unique solution if k≠4 and k≠2
(B) The system of equations is inconsistent for every real number k
(C) The system of equations have infinite number of solutions if k = 4
(D) The system of equations have infinite number of solutions if k = 2
Choose the correct answer from the options given below





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CUET PG MCA PYQ 2024
What is the missing term: 5, 17, 37, 65, ____, 145





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CUET PG MCA PYQ 2024
The function represented by the k-map given below is





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CUET PG MCA PYQ 2024
Let A’ represent complement of A. Which of the following boolean expressions is/are true?
(A) A +AB=A 
(B) (A+B)'= A'B'
(C) (A')'= A
(D) (AB)'= A'+B'
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
The function f(x)=[x]n , integer n>=2 (where [y] is the greatest integer less than or equal to y), is discontinuous at all point of





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CUET PG MCA PYQ 2024
A logic circuit, that can odd two 1-bit numbers and produce output for sum and carry but cannot handle carry, input, is called ____________.





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CUET PG MCA PYQ 2024
On a system using simple segmentation, following is the segment table:
 Segment Limit Base
 0 500 1000
1200 2000 
300 2500 
100 1700 
What is the physical address for the logical address 2, 212?





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CUET PG MCA PYQ 2024
If the roots of the equation x2+4x+a23a are real then the value of a (is / are)





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CUET PG MCA PYQ 2024
Match List – I with List – II
 List - I List - II
 (A) π/20sin4xsin4x+cos4xdx(I) 0
(B) π/3π/611+tanxdx(II) 0
(C) 10xexdx(III) π12
(D) 11x109cos88xdx(IV) π4
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
Choose the odd one out.





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CUET PG MCA PYQ 2024
Statement: 
Some pens are books. 
All schools are Books. 
Some Colleges are Schools.

Consider the following conclusions based on above statements.
(A) Some Colleges are pens.
(B) Some Pens are Schools.
(C) Some Colleges are books.

Choose the correct conclusions from the options given below:





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CUET PG MCA PYQ 2024
If P means ‘+’, A means ‘×’, B means ‘–’ and J means ‘÷’, then 14J2P3A6B7 = ?





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CUET PG MCA PYQ 2024
Which of the following statement sare TRUE?
(A) A equation ax2+bx+c=0 has real and distinct roots if b24ac>=0 and a0 .
(B) The unit digit in 4918 is 1.
(C) If two lines make complementry angles with the axis of x then the product of their slopes is 1.
(D) The line bx – ay = 0 meet the hyperbola x2a2y2b2=1 

Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
The line passes through a point (2, 3) such that sum of its intercepts on the axes is 12 then equation of line/s is/are given by
(A) 3x+y=9
(B) x+3y=9
(C) x+2y=8
(D) 5x+7y=35
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
lim





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CUET PG MCA PYQ 2024
Arrange the following in the increasing order of their asympotic complexities:
(A) Insertion sort (best case)  
(B) Bubble sort (worst case) 
(C) Binary Search (worst case)
(D) Merge sort (worst case)





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CUET PG MCA PYQ 2024
If permutaiton of the letters of the word ‘AGAIN’ are arranged in the order as in a dictionary then 49th word i





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CUET PG MCA PYQ 2024
The mean of 5 data is 5.2 and their variance is 27.296. If there of the data are 1, 3 and 6 then other two data are





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CUET PG MCA PYQ 2024
If the vertices of a triangle are (1, 2), (2, 5) and (4, 3) then the area of the triangle is:





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CUET PG MCA PYQ 2024
Which of the following statements are TRUE?

(A) If each element in a row is a constant multiplier of corresponding element of another row of a determinant, then the value of the determinant is always non-zero.

(B) If each element on one side of the principal diagonal of a determinant is zero, then the value of the determinants the product of the diagonal elements.

(C) The value of determinant of skew symmetric matrix of odd order is always non-zero. 

(D) If A is non-singular matrix of order three, then adj A=|A|^2
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
There is a certain relation between two given words on lieft wide of : : and one word is given on the right sideof : : while another word is missing. Select the missing word which have same relation as the word pairs on the left side of : : symbol.

Current : Circuit : : Earth : ?





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CUET PG MCA PYQ 2024
Decreasing the RAM of a computer typically leads to which of the following outcomes ?





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CUET PG MCA PYQ 2024
We can say that a schedule is conflict serializable?

(1) If a schedule T can be transformed into a serial schedule U by a series of swaps of conflicting operations.

(2) If a schedule T can be transformed into a serial schedule U by a series of swaps of nonconflicting operations.

(3) If a schedule T can be transformed into a non serial schedule U by a series of swaps of conflicting operations.

(4) If a schedule T can be transformed into a non serial schedule U by a series of swaps of non conflicting operations.





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CUET PG MCA PYQ 2024
A function f(x) is defined as f(x)=\begin{cases}{\frac{1-\cos 4x}{{x}^2}} & {;x{\lt}0} \\ {a} & {;x=0} \\ {\frac{\sqrt[]{x}}{\sqrt[]{(16+\sqrt[]{x})-4}}} & {;x{\gt}0}\end{cases} if the function f(x) is continuous at x = 0, then the value of a is:





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CUET PG MCA PYQ 2024
The following integers are needed to be stored in ascending order using bubble sort.
5, 8, 22, 18, 1
Following are the results of various passes during the sorting process.





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CUET PG MCA PYQ 2024
The range of integers that can be represented by a 2’s complements number system is ________.where is n is number of bits in number.





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CUET PG MCA PYQ 2024
The equation of a circle that passes through the points (3, 0) and (0, –2) and its lies on a line 2x + 3y = 3 then equation of the cicle is given by:





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CUET PG MCA PYQ 2024
K is the son of A’s mother’s sister. Q is daughter of D, who is the father of G and grandfather of A. P is the daughter of H who is grandmother of K. D is husband of H and G is husband of L. How is P related to Q?





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CUET PG MCA PYQ 2024
Given \sqrt{(224)_r}=(13)_r where r is the radix. The value of r is _________________.





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CUET PG MCA PYQ 2024
What are the ways to implement a priority Queue?
(A) Arrays 
(B) Fibonacci tree 
(C) Heap Data Structure 
(D) Linked list

Choose the correct answer from the options given below:





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Solution

Ways to Implement a Priority Queue

The correct answer is:

(A) Arrays, (C) Heap Data Structure, and (D) Linked List

Explanation:

  • Arrays:
    • Unsorted Array: Insertion is O(1), Deletion is O(n).
    • Sorted Array: Insertion is O(n), Deletion is O(1).
  • Heap Data Structure:
    • Binary heaps are commonly used for efficient implementation.
    • Insertion and Deletion take O(log n) time.
  • Linked List:
    • Can be implemented as sorted or unsorted.
    • Efficiency depends on the choice of implementation.

Why not Fibonacci Tree?

Fibonacci trees are not used directly for priority queues. However, Fibonacci heaps (a separate data structure) can implement priority queues efficiently.


CUET PG MCA PYQ 2024
An operating system cotains 4 user processor each requiring 5 units of resource R. The minimum number ofrequired units of R such that no deadlock will every occur is





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Solution

Minimum Number of Required Units of Resource R to Prevent Deadlock

Number of processes (P) = 4 Maximum demand per process = 5 units
Formula: R≥(P−1)×max demand+1

Substituting values:
R≥(4−1)×5+1=3×5+1=15+1=16
Minimum required units of resource R = 16

CUET PG MCA PYQ 2024
The current allocation and Maximum requirement of different types of resources for four processes are given below:

Consider the following four statements.
(A) P2 → P4 → P1 → P3 is a safe sequence
(B) P4 → P2 → P1 → P3 is a safe sequence
(C) P4 → P2 → P3 → P1 is a safe sequence
(D) P1 → P4 → P2 → P3 is a safe sequence

Identify correct statements from the given options.





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Solution

Banker's Algorithm Solution

Step 1: Need Matrix

The Need Matrix is calculated as:

Need = Max - Allocation

ProcessR1R2R3
P1452
P2101
P3600
P4010

Step 2: Initial Available Resources

The Available resources at the start are:

  • R1 = 4
  • R2 = 4
  • R3 = 5

Step 3: Evaluate Each Sequence

Sequence (A): P2 → P4 → P1 → P3

  • P2: Need = [1, 0, 1], Available = [4, 4, 5]. Allocate resources. New Available = [7, 5, 7].
  • P4: Need = [0, 1, 0], Available = [7, 5, 7]. Allocate resources. New Available = [10, 7, 9].
  • P1: Need = [4, 5, 2], Available = [10, 7, 9]. Allocate resources. New Available = [14, 8, 11].
  • P3: Need = [6, 0, 0], Available = [14, 8, 11]. Allocate resources. New Available = [17, 12, 14].

Result: Sequence (A) is valid.

Sequence (B): P2 → P1 → P3 → P4

  • P2: Need = [1, 0, 1], Available = [4, 4, 5]. Allocate resources. New Available = [7, 5, 7].
  • P1: Need = [4, 5, 2], Available = [7, 5, 7]. Allocate resources. New Available = [11, 6, 9].
  • P3: Need = [6, 0, 0], Available = [11, 6, 9]. Allocate resources. New Available = [14, 10, 12].
  • P4: Need = [0, 1, 0], Available = [14, 10, 12]. Allocate resources. New Available = [17, 12, 14].

Result: Sequence (B) is valid.

Sequence (C): P4 → P2 → P3 → P1

  • P4: Need = [0, 1, 0], Available = [4, 4, 5]. Allocate resources. New Available = [7, 6, 7].
  • P2: Need = [1, 0, 1], Available = [7, 6, 7]. Allocate resources. New Available = [10, 7, 9].
  • P3: Need = [6, 0, 0], Available = [10, 7, 9]. Allocate resources. New Available = [14, 8, 11].
  • P1: Need = [4, 5, 2], Available = [14, 8, 11]. Allocate resources. New Available = [17, 12, 14].

Result: Sequence (C) is valid.

Sequence (D): P1 → P4 → P2 → P3

  • P1: Need = [4, 5, 2], Available = [4, 4, 5]. Cannot proceed as Need > Available.

Result: Sequence (D) is invalid.

Final Answer:

Safe Sequences: (A), (B), (C)

Invalid Sequence: (D)


CUET PG MCA PYQ 2024
In a class, 4/5 of the students are boys and rest are girls. If 2/5 of the boys and 1/4 of girls are absent, what part of the total number of students is present?





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Solution

Solution

Given: 4/5 of the students are boys, and the rest are girls. 2/5 of boys and 1/4 of girls are absent.

Step-by-Step Solution

  • Total students = N
  • Boys: (4/5) × N = 4N/5
  • Girls: (1/5) × N = N/5
  • Boys absent: (2/5) × (4N/5) = 8N/25
  • Girls absent: (1/4) × (N/5) = N/20
  • Boys present: (4N/5 - 8N/25 = 12N/25)
  • Girls present: (N/5 - N/20 = 3N/20)
  • Total present = (12N/25 + 3N/20)

Final Calculation

LCM of 25 and 20 is 100:
(12N/25 = 48N/100), (3N/20 = 15N/100)
Total present = (48N/100 + 15N/100 = 63N/100)

Answer: 63/100


CUET PG MCA PYQ 2024
Match List – I with List – II
 List - I (Algorithms) List - II (Complexity)
 (A) Bellman - Ford algorithm (with adjacencylist representation)  (I) O(|V|^2)
(B) Dijkstra Algorithm   (II) O((V+E) logV)
(C) Prim’s Algorithm  (III) O(mn)
(D) Topological sorting (with adjacency list representation)  (IV) O(m+n)
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
Let \alpha >2  is an integer. If there are only 10 positive integers satisfying the inequality (x-\alpha)(x-2\alpha)(x-\alpha^2)<0 then the value/s of \alpha is





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CUET PG MCA PYQ 2024
\int \frac{({x}^5-x{)}^{1/5}}{{x}^6}dx= 
(where C is an arbitrary constant)





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CUET PG MCA PYQ 2024
Consider the following statements
(A) RAM is a combinational circuit 
(B) RAM is sequential circuit 
(C) PLA is a combinational circuit Which of the above statements are true
(D) PLA is a sequential circuit





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CUET PG MCA PYQ 2024
The idea of cache memory is based on the which of the following?





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CUET PG MCA PYQ 2024
Which of the following is not an applicaiton of Stack?





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CUET PG MCA PYQ 2024
Amit was counting down from 34, Punit was counting upwards the numbers starting from 2 and he was calling out only the even numbers. What common number will they call out at the same time if they were calling out at the same speed?





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CUET PG MCA PYQ 2024
How many child processes will be created by following fork() system call?
fork();
fork();
fork();
fork();





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Solution

Given: 4 calls to fork().

Formula: Total processes created = 2^n

Calculation:

  • Total processes = 2^4 = 16
  • Child processes = 16 - 1 = 15

Answer: 15 child processes


CUET PG MCA PYQ 2024
A equation of conic is ax^2+2hxy+by^2+2gx+2fy+c=0 , where a, b, c, f, g and h are constants. Then which of the following statement are true?
(A) The given conic is circle if a = 0 and b = 0. 
(B) The given conic is circle if a=b\ne0 and h = 0.
(C) The given conic is circle if a=b=\ne0 and h\ne0 .
(D) The given conic represents a pair of real and distinct straight lines if f = g = c = 0 and h^2-ab>0
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
Match List – I with List – II
 List - I List - II 
f(0)
 (A)  f(x)=\frac{log(1+4x)}{x}(I) \frac{1}{4}
(B) f(x)=\frac{log(4+x)-log4}{x}(II) 1 
(C) f(x)=\frac{x}{sinx}(III) 4 
(D) \frac{1-cos^3x}{x sin2x}(IV) \frac{3}{4}
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
Match List – I with List – II
 List - I List - II
(A)  Critical Region(I) Circular Wait
(B) Working Set(II) Condition variable 
(C) Deadlock(III) Principle of locality
(D) Wait/Signal (IV) Mutual Exclusion
Choose the correct answer from the options given below:





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Solution

Matching List-I with List-II:

List - I List - II Explanation
Critical Region Mutual Exclusion (IV) The critical region ensures mutual exclusion, allowing only one process to access a shared resource at a time.
Working Set Principle of Locality (III) The working set is a concept used in memory management, based on the principle of locality to predict the set of pages a process is likely to use.
Deadlock Circular Wait (I) One of the necessary conditions for a deadlock is circular wait, where processes are waiting for resources held by one another in a circular chain.
Wait/Signal Condition Variable (II) The wait and signal operations are synchronization mechanisms associated with condition variables in multi-threaded environments.

Final Answer:

(A) → (IV), (B) → (III), (C) → (I), (D) → (II)


CUET PG MCA PYQ 2024
Consider the following tree. This is a / a _________________





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CUET PG MCA PYQ 2024
Which of the following statements are NOT TRUE?
(A) If A and B are symmetric matrices, then AB – BA is a skew symmetric matrix. 
(B) Multiplying a determinant by k means multiply elements of one column by k.
(C) If A^2-A+I=0 , then A^-1 is equal to A + I.
(D) If A and B are invertible matrices of same order, then (A+B)^{-1}=B^{-1}+A^{-1}
Choose the correct answer from the options given below:





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CUET PG MCA PYQ 2024
One day, Amit left home and cycled 15 km southwards, turned right and cycled 7 km and turned right andcycled 10 km and turned left and cycled 5 km. How many kilometers will he have to cycle to reach his home?





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Solution

Given:

  • Amit cycled 15 km south.
  • Then turned right (west) and cycled 7 km.
  • Turned right again (north) and cycled 10 km.
  • Finally, turned left (west) and cycled 5 km.

Calculation:

Vertical displacement: 15 - 10 = 5 \, \text{km (south)}
Horizontal displacement: 7 + 5 = 12 \, \text{km (west)}
Using Pythagoras theorem:
Distance = √(5² + 12²) = √(25 + 144) = √169 = 13 \, \text{km}

Answer:

Amit needs to cycle 13 km to return home.


CUET PG MCA PYQ 2024
What is the 10th term of the following series: 7, 14, 28, .............





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Solution

Given Series: 7, 14, 28, ...

Pattern: Each term is multiplied by 2.

Formula for the nth term: Tn = 7 × 2n-1

Calculation:

T10 = 7 × 210-1 = 7 × 29 = 7 × 512 = 3584

Answer:

The 10th term is 3584.


CUET PG MCA PYQ 2024
Select a suitable figure from the given options that would complete the figure matrix?





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CUET PG MCA PYQ 2024
In a computer if the page fault service time is 10 ms and average memory access time is 30 ns. If one page faultis generated for every 106 memory accesses. What is the effective access time for the memory?





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CUET PG MCA PYQ 2024
In a certain code if SCOTLAND is written as 12345678, LOAN is written as 1435, LOTS is written as 8124,DAN is written as 537 and SON is written as 458, then what will be the code for ‘C’?





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