Karnataka PGCET 2026 MCA Question Paper is available for download here. Karnataka Examinations Authority (KEA) has conducted Karnataka PGCET 2026 MCA exam on June 14 from 2.30 pm to 4.30 pm. Karnataka PGCET 2026 MCA Question Paper consists of 100 questions for 100 marks to be attempted in 120 minutes.

  • Karnataka PGCET MCA Question Paper 2026 is divided into Mathematics, Computer Awareness, Analytical Ability and logical Reasoning, General Awareness and General English questions.
  • Each correct answer carries 1 mark and there is no negative marking for incorrect answers.

Karnataka PGCET 2026 MCA Question Paper with Solutions

Karnataka PGCET MCA Question Paper 2026 Download PDF Check Solutions
Karnataka PGCET 2026 MCA Question Paper with solution PDf

Question 1:

Match the following List-I (verb forms) with List-II (non-finites):



Codes:

  • (A) a - iv, b - ii, c - iii, d - i
  • (B) a - iv, b - i, c - ii, d - iii
  • (C) a - ii, b - iii, c - i, d - iv
  • (D) a - ii, b - i, c - iii, d - iv

Question 2:

Match the following clauses with their functions:

  • (A) a - ii, b - iii, c - i, d - iv
  • (B) a - iv, b - ii, c - iii, d - i
  • (C) a - iii, b - iv, c - ii, d - i
  • (D) a - ii, b - iv, c - i, d - iii

Question 3:

Choose the correct word to complete the sentence:

His speech was so _____ that everyone lost interest halfway through.

  • (A) Engaging
  • (B) Monotonous
  • (C) Lively
  • (D) Exciting

Question 4:

How were messages sent in the past?

  • (A) Through mobile apps
  • (B) Through emails
  • (C) Through letters
  • (D) Through video calls

Question 5:

What is one advantage of modern communication?

  • (A) It is slower
  • (B) It is more expensive
  • (C) It is instant
  • (D) It requires travel

Question 6:

What is one disadvantage of modern communication mentioned in the passage?

  • (A) Increased travel
  • (B) Reduced face-to-face interaction
  • (C) Higher costs
  • (D) Lack of technology

Question 7:

OBFUSCATE nearly means:


[(a)] Illuminate
[(b)] Confound
[(c)] Explicate
[(d)] Muddle

  • (A) (a) and (b) are correct
  • (B) (b) and (c) are correct
  • (C) (b) and (d) are correct
  • (D) (a) and (c) are correct

Question 8:

Choose the antonyms of LOQUACIOUS.


[(a)] Garrulous
[(b)] Voluble
[(c)] Reticent
[(d)] Taciturn

  • (A) (a) and (b) are correct
  • (B) (b) and (c) are correct
  • (C) (c) and (d) are correct
  • (D) (d) and (a) are correct

Question 9:

Choose the correct meaning of the phrase ``a blessing in disguise''.

  • (A) Hidden danger
  • (B) A very obvious problem
  • (C) A happy occasion
  • (D) Something that seems bad but turns out to be good

Question 10:

Arrange the sentences in the correct order.


[(A)] The teacher appreciated her efforts.
[(B)] She worked hard to complete the project on time.
[(C)] Meena was assigned a project in the class.
[(D)] She presented it confidently before everyone.

  • (A) C B D A
  • (B) B C D A
  • (C) C D B A
  • (D) B D C A

Question 11:

Primary classification of programming languages are


[(a)] Machine language
[(b)] Assembly language
[(c)] High level language
[(d)] Pseudocode and Algorithms

  • (A) Only (c) and (d) are correct
  • (B) Only (a) and (b) are correct
  • (C) Only (a), (b) and (c) are correct
  • (D) Only (a) and (d) are correct

Question 12:

Match the following with respect to connections between processor and memory.



Codes:

  • (A) a - iii, b - iv, c - ii, d - i
  • (B) a - i, b - ii, c - iv, d - iii
  • (C) a - ii, b - iv, c - iii, d - i
  • (D) a - iv, b - ii, c - i, d - iii

Question 13:

In b = 66.6 / a + 12 * n, which operation will be performed first?

  • (A) 66.6 / a
  • (B) 12 * n
  • (C) a + 12
  • (D) Depends upon the compiler

Question 14:

Consider the following instruction.
\[ ADD R1, R2, R3} \]

What is the meaning of the above instruction?

  • (A) Add the contents of registers R1 and R2 and place the sum in R3
  • (B) Add the contents of registers R1, R2 and R3 and place the sum in another register
  • (C) Add the contents of registers R2 and R3 and place the sum in R1
  • (D) Instruction is invalid

Question 15:

What is the meaning of \(16 \times 8\) organization with respect to memory chip?

  • (A) 8 words of 16 bits each
  • (B) 16 bits \(\times\) 8 bits
  • (C) 16 words of 8 bits each
  • (D) 16 words of 8 bytes each

Question 16:

Reservation clerks for Airlines and Hotels check availability for given request and make reservation. These type of users are categorised into ____ with respect to database applications.

  • (A) Casual end users
  • (B) Parametric end users
  • (C) Sophisticated end users
  • (D) Standalone users

Question 17:

The data model which makes it possible to organize data in a collection of records with fixed structure.

  • (A) Relational Data Model
  • (B) Network Data Model
  • (C) Hierarchical Data Model
  • (D) Object Data Model

Question 18:

language is used to define the logical, external and physical schemas and access authorizations.

  • (A) Data Manipulation Language (DML)
  • (B) Data Definition Language (DDL)
  • (C) Logical Definition Language (LDL)
  • (D) Data-Driven Language (DDL)

Question 19:

Arrange the given list of memories as per the size.


[(a)] Cache memory
[(b)] Registers
[(c)] Secondary memory
[(d)] Primary memory

  • (A) (b), (a), (d), (c)
  • (B) (b), (a), (c), (d)
  • (C) (a), (b), (c), (d)
  • (D) (d), (b), (a), (c)

Question 20:

The control unit of a computer is designed to go through an instruction cycle that is divided into following phases.


[(a)] Fetch the instruction from memory
[(b)] Decode the instruction
[(c)] Execute the instruction

  • (A) Only (b) and (c) are correct
  • (B) Only (c) is correct
  • (C) Only (a) is correct
  • (D) (a), (b) and (c) are correct

Question 21:

Full form of WAMP is with respect to web applications.

  • (A) Windows, Apache, MySQL and PHP
  • (B) Word, Adobe, MySQL and PHP
  • (C) Windows, Apache, Mainstream and Program
  • (D) Windows, Adobe, MySQL and PHP

Question 22:

Which of the following are valid hexadecimal numbers?


[(i)] 1A3F
[(ii)] 29GF
[(iii)] FF12
[(iv)] 7BHE

  • (A) (i), (ii) and (iv)
  • (B) (i), (ii) and (iii)
  • (C) (i) and (iii)
  • (D) (i), (iii) and (iv)

Question 23:

The decimal number \(25_{10}\) is represented in binary as : 

  • (A) 1 1 0 0 1
  • (B) 1 0 1 0 1
  • (C) 1 1 1 0 0
  • (D) 1 0 0 1 1

Question 24:

Arrange the following steps in correct order to binary:


[(i)] Repeat division until becomes 0
[(ii)] Divide the number by 2
[(iii)] Write the remainder
[(iv)] Write the remainder in reverse order

  • (A) (i) \(\rightarrow\) (ii) \(\rightarrow\) (iii) \(\rightarrow\) (iv)
  • (B) (ii) \(\rightarrow\) (iii) \(\rightarrow\) (i) \(\rightarrow\) (iv)
  • (C) (iii) \(\rightarrow\) (i) \(\rightarrow\) (iv) \(\rightarrow\) (ii)
  • (D) (iv) \(\rightarrow\) (ii) \(\rightarrow\) (iii) \(\rightarrow\) (i)

Question 25:

Match the Characters in List-I with their correct ASCII Property in List-II.

  • (A) a - i, b - iii, c - iv, d - ii
  • (B) a - i, b - iv, c - iii, d - ii
  • (C) a - iii, b - iv, c - i, d - ii
  • (D) a - iii, b - iv, c - ii, d - i

Question 26:

A floating point number typically consists of


[(i)] Sign bit
[(ii)] Parity bit
[(iii)] Mantissa (Significand)
[(iv)] Exponent

  • (A) (i), (ii) and (iv)
  • (B) (i), (iii) and (iv)
  • (C) (ii), (iii) and (iv)
  • (D) (i), (ii) and (iii)

Question 27:

Arrange the steps to find two's complement of a binary number:


[(i)] Take 1's complement
[(ii)] Write the binary number
[(iii)] Add 1
[(iv)] Obtain final result

  • (A) (iv) \(\rightarrow\) (i) \(\rightarrow\) (iii) \(\rightarrow\) (ii)
  • (B) (ii) \(\rightarrow\) (iii) \(\rightarrow\) (i) \(\rightarrow\) (iv)
  • (C) (ii) \(\rightarrow\) (i) \(\rightarrow\) (iii) \(\rightarrow\) (iv)
  • (D) (i) \(\rightarrow\) (ii) \(\rightarrow\) (iii) \(\rightarrow\) (iv)

Question 28:

The result of \(101_2 \times 10_2\) is .

  • (A) \(1010_2\)
  • (B) \(1000_2\)
  • (C) \(1110_2\)
  • (D) \(1100_2\)

Question 29:

Match the binary operations in List-I with correct results in List-II.

  • (A) a - ii, b - i, c - iv, d - iii
  • (B) a - iii, b - ii, c - iv, d - i
  • (C) a - ii, b - iii, c - i, d - iv
  • (D) a - i, b - v, c - ii, d - iii

Question 30:

Which scheduling algorithm works on the principles of time slices?

  • (A) FCFS
  • (B) Round Robin
  • (C) SJF
  • (D) Priority Scheduling

Question 31:

Which of the following are the characteristics of Real Time Operating Systems (RTOS)?


[(i)] Deterministic response
[(ii)] High latency allowed
[(iii)] Strict timing constraints
[(iv)] Used in embedded systems

  • (A) (i) and (iii) only
  • (B) (i), (iii) and (iv) only
  • (C) (ii) and (iv) only
  • (D) (i), (ii) and (iii) only

Question 32:

Arrange the steps in process state transition.


[(i)] Running
[(ii)] Ready
[(iii)] New
[(iv)] Waiting

  • (A) (i) \(\rightarrow\) (ii) \(\rightarrow\) (iii) \(\rightarrow\) (iv)
  • (B) (iii) \(\rightarrow\) (ii) \(\rightarrow\) (i) \(\rightarrow\) (iv)
  • (C) (iv) \(\rightarrow\) (i) \(\rightarrow\) (ii) \(\rightarrow\) (iii)
  • (D) (ii) \(\rightarrow\) (i) \(\rightarrow\) (iii) \(\rightarrow\) (iv)

Question 33:

Match the operating systems in List-I with their correct characteristics in List-II.



Codes:

  • (A) a - ii, b - i, c - iii, d - iv
  • (B) a - ii, b - i, c - iv, d - iii
  • (C) a - iii, b - iv, c - i, d - ii
  • (D) a - iii, b - i, c - iv, d - ii

Question 34:

In a class exam, Ramya's average mark was 90 per paper. If she had obtained 4 more marks in Maths paper and 20 more marks in Physics paper, then her average per paper would have been 94. How many papers were there in the exam?

  • (A) 6
  • (B) 8
  • (C) 9
  • (D) 7

Question 35:

In a two digit number, the digit in the unit's place is equal to the square of the digit in ten's place and the difference between the numbers obtained by interchanging the digits is 54. What is 40% of the original number?

  • (A) 23.4
  • (B) 15.6
  • (C) 37.2
  • (D) 39

Question 36:

A set of letters and numbers are arranged in certain order where some of them are missing.
\[ 1 \quad \_ \quad 7g \quad \_ \quad c8 \quad \_ \quad \_ \quad b \]

Choose the correct order of appearing in the missing places.

  • (A) 3 h a 2
  • (B) a h 2 3
  • (C) a 3 h 2
  • (D) 2 3 h a

Question 37:

In a certain code language, SHORE is written as PELOB, then match the following original letters in List-I that are coded in List-II.



Codes:

  • (A) a - iv, b - i, c - ii, d - iii
  • (B) a - iv, b - i, c - iii, d - ii
  • (C) a - iii, b - i, c - ii, d - iv
  • (D) a - ii, b - iii, c - i, d - iv

Question 38:

No reptiles can fly. All birds can fly.

Which of the following must be true?

  • (A) No birds are reptiles
  • (B) All reptiles can fly
  • (C) All flying creatures are birds
  • (D) Some birds are reptiles

Question 39:

Which one of the following number is completely divisible by 45?

  • (A) 181566
  • (B) 331145
  • (C) 242865
  • (D) 2023550

Question 40:

A class of 30 students comprises of boys who can play cricket, hockey and/or football. 3 boys play only cricket, 3 boys play only hockey and 2 play only football. 4 boys could play all 3 games, while 11 could play football and cricket and 10 boys could play football and hockey. How many boys played cricket and hockey but not football?

  • (A) 1
  • (B) 3
  • (C) 4
  • (D) 5

Question 41:

Five groups of letters are given. One of these groups is different from the other four. Find the odd one.


YDEUZ, ASHBR, OZPEQ, AXCMF, HLXEF

  • (A) YDEUZ
  • (B) ASHBR
  • (C) OZPEQ
  • (D) AXCMF

Question 42:

If \( 15^{th} \) August, 2023 was on Tuesday, then on which day of the week would the Independence Day be celebrated in the year 2040?

  • (A) Tuesday
  • (B) Wednesday
  • (C) Thursday
  • (D) Friday

Question 43:

Consider the following equations I and II. \[ I : \sqrt{1\frac{9}{16}} = 1\frac{1}{4} \] \[ II : \sqrt[3]{2744} = 2 \times 7\sqrt{7} \]

  • (A) I and II are correct
  • (B) I is incorrect, II is correct
  • (C) I is correct, II is incorrect
  • (D) I and II are incorrect

Question 44:

If \(A \star B\) means \(A\) and \(B\) are of the same age, and \(A-B\) means \(B\) is younger than \(A\), then \( Himani \star Mahesh - Jay \) means:

  • (A) Himani is younger than Jay
  • (B) Mahesh is younger than Jay
  • (C) Jay is the youngest
  • (D) Jay is the oldest

Question 45:

If the sum of two numbers is 10 and the difference of their squares is 20, then these numbers are:

  • (A) 8 and 2
  • (B) 6 and 4
  • (C) 7 and 3
  • (D) 5 and 5

Question 46:

A figure consists of a triangle attached to a square such that the triangle points up. If the figure is rotated \(90^\circ\) clockwise, then where will the triangle point?

  • (A) Left
  • (B) Right
  • (C) Downward
  • (D) Upward

Question 47:

Distribution of total number of cellular phones sold by six stores in December, 2025 is given in the following pie chart.



What is the central angle corresponding to the total number of cellular phones sold by S?

  • (A) \( 99.2^\circ \)
  • (B) \( 93.6^\circ \)
  • (C) \( 105.6^\circ \)
  • (D) \( 97.4^\circ \)

Question 48:

A researcher is conducting a statistical study on the students academic performance and life style habits. To ensure the study is scientifically valid, the most appropriate sequence for carrying out data collection, analysis and the following tasks is:


[(P)] Apply statistical methods to summarise and test relationships in the data
[(Q)] Design research objects variable sampling plan and data collection instrument
[(R)] Interpret findings and draw conclusions
[(S)] Collect responses from selected participants
[(T)] Class, code and organise the collected raw data

  • (A) \( S \rightarrow T \rightarrow Q \rightarrow P \rightarrow R \)
  • (B) \( S \rightarrow T \rightarrow Q \rightarrow R \rightarrow P \)
  • (C) \( Q \rightarrow S \rightarrow T \rightarrow P \rightarrow R \)
  • (D) \( T \rightarrow Q \rightarrow S \rightarrow P \rightarrow R \)

Question 49:

Which of the following statements are correct?


[(a)] Startups are innovation-driven businesses and aim at scalability
[(b)] Securities and Exchange Board of India regulates stock markets and protects investors
[(c)] GST is an indirect tax applicable across India and is collected only once at the final stage of the transaction
[(d)] Blinkit operates in quick commerce, which focuses on fast delivery using dark stores

  • (A) (a), (b) and (c)
  • (B) (a), (b) and (d)
  • (C) (b), (c) and (d)
  • (D) (c) and (d) only

Question 50:

Which of the following statements about consumer-to-consumer (C2C) e-business model are correct?


[(a)] It involves transactions between two consumers
[(b)] Online platforms like OLX facilitate C2C trade
[(c)] It reduces dependency on traditional retailers
[(d)] Businesses directly supply goods and services to customers in this model

  • (A) (a), (b) and (c)
  • (B) (a) and (b) only
  • (C) (b), (c) and (d)
  • (D) (c) and (d) only

Question 51:

Which is NOT an advantage of writing Business letter?

  • (A) It has wide reach
  • (B) It can be standalone medium
  • (C) It is not cost effective
  • (D) It can be reproduced and repeated

Question 52:

Arrange the sentences in the correct order.


[(A)] The teacher appreciated her efforts
[(B)] She worked hard to complete the project on time
[(C)] Meena was assigned a project in the class
[(D)] She presented it confidently before everyone

  • (A) C B D A
  • (B) B C D A
  • (C) C D B A
  • (D) B D C A

Question 53:

Which of the following is/are true?


[(i)] \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\)
[(ii)] \((a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca\)
[(iii)] \((x + a)(x + b) = x^2 + (a + b)x + ab\)

  • (A) Both (i) and (ii)
  • (B) (iii) only
  • (C) Both (i) and (iii)
  • (D) (i), (ii) and (iii)

Question 54:

A person has 2 parents, 4 grandparents, 8 great grandparents and so on. What is the number of his ancestors during the \(5^{th}\) generation preceding his own?

  • (A) 40
  • (B) 124
  • (C) 32
  • (D) 62

Question 55:

If \(A = \begin{bmatrix} 1 & 2 & 4
-1 & 3 & 0
1 & 2 & 0 \end{bmatrix}\), then the value of determinant of A is:

  • (A) \(-10\)
  • (B) \(10\)
  • (C) \(20\)
  • (D) \(-20\)

Question 56:

If \(A = \begin{bmatrix} 1 & 2
-1 & 3 \end{bmatrix}\), \(B = \begin{bmatrix} -1 & 2
0 & 4 \end{bmatrix}\), then match the following and choose the correct answer.

List - I & List - II


(a) \(A+B\) &
(i) \(\begin{bmatrix} -1 & 10
1 & 10 \end{bmatrix}\)


(b) \(A-B\) &
(ii) \(\begin{bmatrix} 0 & 4
-1 & 7 \end{bmatrix}\)


(c) \(AB\) &
(iii) \(\begin{bmatrix} 1 & 4
0 & 10 \end{bmatrix}\)


(d) \(2A+B'\) &
(iv) \(\begin{bmatrix} 2 & 0
-1 & -1 \end{bmatrix}\)




Codes:

  • (A) a - ii, b - iv, c - i, d - iii
  • (B) a - iii, b - iv, c - i, d - ii
  • (C) a - iii, b - i, c - v, d - ii
  • (D) a - ii, b - i, c - iv, d - iii

Question 57:

Let \(U\) be universal set. If \(A\) and \(B\) are subsets of \(U\), then match the following and choose the correct answer.

List - I & List - II


(a) \(A \cup A'\) & (i) \(A\)


(b) \((A \cup B)'\) & (ii) \(A' \cup B'\)


(c) \((A \cap B)'\) & (iii) \(A' \cap B'\)


(d) \((A')'\) & (iv) \(U\)



Codes:

  • (A) a - ii, b - i, c - iv, d - iii
  • (B) a - ii, b - iii, c - iv, d - i
  • (C) a - iii, b - iv, c - ii, d - i
  • (D) a - iv, b - iii, c - ii, d - i

Question 58:

Let 'U' be universal set. If A and B are subsets of U, then match the following and choose the correct answer.



  • (A) a - ii, b - i, c - iv, d - iii
  • (B) a - ii, b - iii, c - iv, d - i
  • (C) a - iii, b - iv, c - ii, d - i
  • (D) a - iv, b - iii, c - ii, d - i

Question 59:

In a shop, the cost of 3 pens and 3 pencils is Rs. 9 and the cost of 4 pens and 6 pencils is Rs. 14. The cost of each pencil in Rs. is:

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

Question 60:

The equation of the line passing through the points \((1, 2)\) and \((-1, 4)\) is:

  • (A) \(x + y = 3\)
  • (B) \(x + y = 4\)
  • (C) \(2x + y = 4\)
  • (D) \(x + 2y = 3\)

Question 61:

The midpoint of the line joining the points \((2, 4)\) and \((6, -2)\) is:

  • (A) \((4, -1)\)
  • (B) \((4, 1)\)
  • (C) \((2, 4)\)
  • (D) \((3, -1)\)

Question 62:

The point of intersection of the lines \(3x + 2y = 6\) and \(3x - 2y = -2\) is:

  • (A) \((2/3, 2)\)
  • (B) \((2/3, -2)\)
  • (C) \((-2/3, 2)\)
  • (D) \((-2/3, -2)\)

Question 63:

The centre of the circle \((x + 5)^2 + (y - 3)^2 = 36\) is:

  • (A) \((5, 3)\)
  • (B) \((-5, -3)\)
  • (C) \((-5, 3)\)
  • (D) \((5, -3)\)

Question 64:

The reflection of the point \((4, -13)\) about the line \(5x + y + 6 = 0\) is:

  • (A) \((-1, -14)\)
  • (B) \((-5, -14)\)
  • (C) \((-1, -5)\)
  • (D) \((-2, -7)\)

Question 65:

The equation of the parabola which is symmetric about the y-axis and passes through the point \((2, -3)\) is:

  • (A) \(4x^2 = -3y\)
  • (B) \(4x^2 = 3y\)
  • (C) \(3x^2 = 4y\)
  • (D) \(3x^2 = -4y\)

Question 66:

Consider the triangle with vertices \((0, 0)\), \((5, 0)\) and \((2, 3)\). If scaling of 3 units is applied along both x-axis and y-axis, the new coordinates are:

  • (A) \((0,0),(5,0),(5,6)\)
  • (B) \((0,0),(8,0),(5,6)\)
  • (C) \((0,0),(2,0),(-1,0)\)
  • (D) \((0,0),(8,0),(-1,0)\)

Question 67:

Match the postulates in List-I with List-II.


Question 68:

The Boolean function \(AB + AC\) is equivalent to:

  • (A) \(AB + AC + BC\)
  • (B) \(A'BC' + ABC' + A'BC\)
  • (C) \(ABC + A'BC + B'C'\)
  • (D) \(ABC + ABC' + AB'C\)

Question 69:

The Boolean expressions \((AB)' = A' + B'\) and \((A + B)' = A'B'\) represent

  • (A) Absorption law
  • (B) Distributive law
  • (C) De Morgan's law
  • (D) Idempotent law

Question 70:

Match List-I with List-II.



  • (A) a - iii, b - i, c - ii, d - iv
  • (B) a - iv, b - ii, c - i, d - iii
  • (C) a - iii, b - ii, c - i, d - iv
  • (D) a - iv, b - ii, c - iii, d - i

Question 71:

The general solution of \(2\cos\theta - \sqrt{3} = 0\) is

  • (A) \(\theta = n\pi + (-1)^n \frac{\pi}{6}\)
  • (B) \(\theta = 2n\pi \pm \frac{\pi}{6}\)
  • (C) \(\theta = 2n\pi \pm \frac{\pi}{3}\)
  • (D) \(\theta = n\pi + (-1)^n \frac{\pi}{3}\)

Question 72:

In a right angled isosceles triangle \(\triangle ABC\), right angle at \(C\), if side \(a = 2\), then sides \(b\) and \(c\) are respectively

  • (A) \(2\sqrt{2},\, 2\)
  • (B) \(\sqrt{2},\, 2\)
  • (C) \(2,\, \sqrt{2}\)
  • (D) \(2,\, 2\sqrt{2}\)

Question 73:

The value of \(\tan^{-1}(A) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(-\frac{1}{2}\right)\) is

  • (A) \(\frac{\pi}{4}\)
  • (B) \(\frac{\pi}{2}\)
  • (C) \(\frac{3\pi}{4}\)
  • (D) \(\frac{3\pi}{2}\)

Question 74:

Two dice are thrown and the sum of the numbers which come up is noted. Among the following events: A: sum is even, B: sum is multiple of 3, C: sum is less than 4, D: sum is greater than 11. Which pair of events are mutually exclusive?

  • (A) A and B
  • (B) A and C
  • (C) C and D
  • (D) B and D

Question 75:

Two students A and B appear for an exam. Probability that A passes is 0.05, B passes is 0.10, and both pass is 0.02. Find probability that neither passes.

  • (A) 0.87
  • (B) 0.98
  • (C) 1
  • (D) 0.11

Question 76:

The probability of selecting a man from a crowd containing 20 men and 33 women is

  • (A) \(\frac{20}{33}\)
  • (B) \(\frac{33}{20}\)
  • (C) \(\frac{20}{53}\)
  • (D) \(\frac{33}{53}\)

Question 77:

Three cards are drawn successively without replacement from a pack of 52 well shuffled cards. What is the probability that first two cards are kings and the third card drawn is an ace?

  • (A) \(\frac{4}{52}\)
  • (B) \(\frac{3}{51}\)
  • (C) \(\frac{4}{50}\)
  • (D) \(\frac{2}{5525}\)

Question 78:

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually six.

  • (A) \(\frac{1}{8}\)
  • (B) \(\frac{2}{8}\)
  • (C) \(\frac{3}{8}\)
  • (D) \(\frac{1}{2}\)

Question 79:

The variance of 25 observations is 6. If each observation is multiplied by 3, then the new variance of the resulting observations is

  • (A) 56
  • (B) 50
  • (C) 54
  • (D) 36

Question 80:

A committee of two persons is selected from two men and two women. What is the probability that the committee will have one man?

  • (A) \(\frac{1}{3}\)
  • (B) \(\frac{2}{3}\)
  • (C) \(1\)
  • (D) \(\frac{4}{3}\)

Question 81:

The Boolean expressions \[ (AB)' = A' + B' \]
and \[ (A+B)' = A'B' \]
represent

  • (A) Absorption law
  • (B) Distributive law
  • (C) De Morgan's law
  • (D) Idempotent law

Question 82:

Match List-I with List-II.





Codes:

  • (A) a - iii, b - i, c - ii, d - iv
  • (B) a - iv, b - ii, c - i, d - iii
  • (C) a - iii, b - ii, c - i, d - iv
  • (D) a - iv, b - ii, c - iii, d - i

Question 83:

The general solution of \[ 2\cos\theta-\sqrt3=0 \]
is

  • (A) \(\theta=n\pi+(-1)^n\frac{\pi}{6},\ n\in\mathbb{Z}\)
  • (B) \(\theta=2n\pi\pm\frac{\pi}{6},\ n\in\mathbb{Z}\)
  • (C) \(\theta=2n\pi\pm\frac{\pi}{3},\ n\in\mathbb{Z}\)
  • (D) \(\theta=n\pi+(-1)^n\frac{\pi}{3},\ n\in\mathbb{Z}\)

Question 84:

In a right angled isosceles triangle \(\Delta ABC\), right angle at \(C\), if side \(a=2\), then sides \(b\) and \(c\) are respectively

  • (A) \(2\sqrt{2},\,2\)
  • (B) \(\sqrt{2},\,2\)
  • (C) \(2,\,\sqrt{2}\)
  • (D) \(2,\,2\sqrt{2}\)

Question 85:

\[ \tan^{-1}(1)+\cos^{-1}\left(-\frac12\right)+\sin^{-1}\left(-\frac12\right) = \]

  • (A) \(\frac{\pi}{4}\)
  • (B) \(\frac{\pi}{2}\)
  • (C) \(\frac{3\pi}{4}\)
  • (D) \(\frac{3\pi}{2}\)

Question 86:

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Among the following events:


A: The sum is even.
B: The sum is a multiple of 3.
C: The sum is less than 4.
D: The sum is greater than 11.


Which pair of events are mutually exclusive?

  • (A) A and B
  • (B) A and C
  • (C) C and D
  • (D) B and D

Question 87:

The average of 5 numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:

  • (A) \(30\)
  • (B) \(35\)
  • (C) \(45\)
  • (D) \(25\)

Question 88:

If the mean of the distribution is \(5\), then the value of \(P\) is:

  • (A) \(7\)
  • (B) \(5\)
  • (C) \(8\)
  • (D) \(4\)

Question 89:

The arithmetic mean of \(1,2,3,\ldots,n\) is:

  • (A) \(\dfrac{n+1}{2}\)
  • (B) \(\dfrac{n-1}{2}\)
  • (C) \(\dfrac{n}{2}\)
  • (D) \(\dfrac{2n+1}{2}\)

Question 90:

The algebraic sum of the deviations of a set of \(n\) values from their arithmetic mean is:

  • (A) \(n\)
  • (B) \(0\)
  • (C) \(2n\)
  • (D) None of these

Question 91:

If the first quartile is 142 and the semi-interquartile range is 18, then the third quartile is:

  • (A) \(160\)
  • (B) \(124\)
  • (C) \(178\)
  • (D) \(151\)

Question 92:

The average of squared deviations from mean is called:

  • (A) Mean Deviation
  • (B) Variance
  • (C) Standard Deviation
  • (D) Coefficient of Variation

Question 93:

The relation between mean, median and mode for a moderately asymmetrical distribution is:

  • (A) \(Mode=3Median-2Mean\)
  • (B) \(Mode=3Mean-2Median\)
  • (C) \(Median=3Mode-2Mean\)
  • (D) \(Mean=3Median-2Mode\)

Question 94:

If an event cannot occur, then its probability is:

  • (A) \(1\)
  • (B) \(\frac{4}{3}\)
  • (C) \(\frac{1}{2}\)
  • (D) \(0\)

Question 95:

An experiment succeeds twice as often as it fails. The probability of success in the next trial is:

  • (A) \(\frac{1}{3}\)
  • (B) \(\frac{2}{3}\)
  • (C) \(1\)
  • (D) \(0\)

Question 96:

If \(P(A)=0.8\), \(P(B)=0.5\) and \(P(B|A)=0.4\), then the value of \(P(A|B)\) is:

  • (A) \(0.32\)
  • (B) \(0.64\)
  • (C) \(0.16\)
  • (D) \(0.25\)

Question 97:

If the mode of a distribution is 18 and the mean is 24, then the median is:

  • (A) 18
  • (B) 24
  • (C) 22
  • (D) 21

Question 98:

The range of the data 12, 25, 15, 18, 35, 11, 45, 33, 22, 10 is:

  • (A) 10
  • (B) 45
  • (C) 35
  • (D) 11

Question 99:

The standard deviation of a distribution is 5. If each observation is increased by 2, then the new standard deviation will be:

  • (A) 5
  • (B) 7
  • (C) 3
  • (D) 10

Question 100:

For a symmetrical distribution:

  • (A) \(Mean>Median>Mode\)
  • (B) (Mean)
  • (C) \(Mean=Median=Mode\)
  • (D) None of these

Karnataka PGCET 2026 Exam Pattern

Parameter Details
Exam Mode OMR based
Exam Duration 120 minutes
Question Type Multiple Choice Questions (MCQs)
Total Questions 100 questions (all compulsory)
Maximum Marks 100
Marking Scheme +1 for correct, 0 for incorrect

Karnataka PGCET 2026 MCA Analysis