Karnataka PGCET 2025 MCA: Question Types, Exam Pattern & Sample Questions

Section - Mathematics 

No. of Questions - 30 

Marks - 1

Sample Question 1

The center of the ellipse ((x + y - 2) ^ 2)/9 + ((x - y) ^ 2)/16 = 1 

A. (0, 0) 

B. (0, 1) 

C. (1, 0) 

D. (1, 1) 

Correct Answer: C. (1, 0) 

Solution: To determine the center of the ellipse described by the equation (x+y−2)29+(x−y)216=1\frac{(x+y-2)^2}{9} + \frac{(x-y)^2}{16} = 19(x+y−2)2+16(x−y)2=1, we identify it as having the standard form (x−h)2a2+(y−k)2b2=1\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1a2(x−h)2+b2(y−k)2=1. From the given equation: 

● (x+y−2)29\frac{(x+y-2)^2}{9}9(x+y−2)2 corresponds to (x−h)2a2\frac{(x-h)^2}{a^2}a2(x−h)2 

● (x−y)216\frac{(x-y)^2}{16}16(x−y)2 corresponds to (y−k)2b2\frac{(y-k)^2}{b^2}b2(y−k)2 The center (h,k)(h, k)(h,k) of the ellipse is found to be (1,0)(1, 0)(1,0). Therefore, the center of the ellipse is (1,0)(1, 0)(1,0).

Sample Question 2

If (9 ^ 4) ^ 2 = 3 deg then the value of x is 

A. 14 

B. 16 

C. 15 

D. 17 

Correct Answer: B. 16

Solution: To find the value of x given that (9 ^ 4) ^ 2 = 3 deg, 

we need to simplify the left-hand side first:

(9 ^ 4) ^ 2 = 3 deg Calculate 9 ^ 4: 9 ^ 4 = 6561 Now, (9 ^ 4) ^ 2 = 6561 ^ 2 

Calculate 6561 ^ 2: 6561 ^ 2 = 43046721

Therefore, 3 deg = 43046721 So, x = 16.

Thus, the correct answer is B. 16.

Sample Question 3

Two lines are said to be parallel if the difference of their slope is 

A. -1 

B. 0 

C. 1 

D. 2 

Correct Answer: B. 0 

Solution: Two lines are parallel if they have the same slope. 

Mathematically, the condition for two lines y=m1x+c1y = m_1x + c_1y=m1x+c1 and y=m2x+c2y = m_2x + c_2y=m2x+c2 to be parallel is m1=m2m_1 = m_2m1=m2. Therefore, the difference of their slopes m1−m2m_1 - m_2m1−m2 is 000.

Section - Computer Awareness

No. of Questions - 20

Marks - 20

Sample Question 1

Which service allows a user to login to another computer via Internet? 

A. FTP 

B. Telnet 

C. e-mail 

D. SMPT 

Correct Answer: B. Telnet 

Solution: Telnet is a network protocol that allows a user to log in to another computer over the internet or a local network.

By using Telnet, users can access the resources of a remote computer as if they were directly connected to it. This service provides a command-line interface on the remote machine, enabling the execution of commands and the management of files. 

● FTP (File Transfer Protocol) is used for transferring files between computers on a network. 

● E-mail is used for sending and receiving electronic messages. 

● SMTP (Simple Mail Transfer Protocol) is a protocol for sending emails.

Sample Question 2

Which of the following is not a system software? 

A. Operating system 

B. Assembler 

C. SQL 

D. Compiler 

Correct Answer: C. SQL 

Solution: System software refers to the software designed to provide a platform for other software. Examples of system software include operating systems, assemblers, and compilers. 

● Operating System: A system software that manages computer hardware and software resources and provides common services for computer programs. 

● Assembler: A system software that translates assembly language into machine code. 

● Compiler: A system software that translates code written in a high-level programming language into machine code. SQL (Structured Query Language), on the other hand, is not a system software. 

It is a domain-specific language used in programming and designed for managing data held in a relational database management system (RDBMS).

Sample Question 3

URL stands for

A. Uniform Resource Link 

B. Universal Resource Link 

C. Uniform Resource Locator 

D. Universal Resource Locator 

Correct Answer: C. Uniform Resource Locator

Solution: URL stands for Uniform Resource Locator. It is a reference or address used to access resources on the internet. A URL specifies the location of a resource as well as the protocol used to access it, such as HTTP or HTTPS. 

● Uniform Resource Link and Universal Resource Link are incorrect as they do not correctly describe what a URL stands for. 

● Universal Resource Locator is also incorrect because the correct term is "Uniform Resource Locator." 

Therefore, the correct answer is: Answer: C. Uniform Resource Locator

Section - Analytical and Logical

No. of Questions - 30

Marks - 30

Sample Question 1

Average scores of three batsmen A, B,C are 40, 45 and 55 respectively and their standard deviations are 9, 11, 16 respectively. Which batsman is more consistent? 

A. A 

B. B 

C. C

D. A, B and C 

Correct Answer: A. A

Solution: To determine which batsman is more consistent, we look at the coefficient of variation (CV) for each batsman. The coefficient of variation is calculated as follows: CV=Standard DeviationMean×100\text{CV} = \frac{\text{Standard Deviation}}{\text{Mean}} \times 100CV=MeanStandard Deviation×100 Calculate the CV for each batsman: 

● For batsman A: CVA=940×100=22.5%\text{CV}_A = \frac{9}{40} \times 100 = 22.5\%CVA=409×100=22.5% 

● For batsman B: CVB=1145×100≈24.44%\text{CV}_B = \frac{11}{45} \times 100 \approx 24.44\%CVB=4511×100≈24.44% 

● For batsman C: CVC=1655×100≈29.09%\text{CV}_C = \frac{16}{55} \times 100 \approx 29.09\%CVC=5516×100≈29.09% The lower the coefficient of variation, the more consistent the batsman. Comparing the CVs: 

● Batsman A: 22.5% 

● Batsman B: 24.44%

● Batsman C: 29.09%

 Therefore, batsman A has the lowest coefficient of variation and is the most consistent. So, the correct answer is: A

Sample Question 2

If A 5 B means 'A is the husband of B' If A 4 B means 'A is the sister of B' and A 3 B means 'A is the son of B', then which of the following shows that A is the daughter of B? 

A. A4C3B 

B. C3B4A 

C. B5C3A 

D. C3B5C4A 

Correct Answer: A. A 4 B 5 C 

Solution:

Sample Question 3

Kamal is facing south. He turns 135 degrees in the anti-clockwise direction and then 180 degrees in the clockwise direction. What direction is he facing now? 

A. North 

B. South-West 

C. East 

D. North-West 

Correct Answer: D. North-West 

Solution: Initially, Kamal is facing south. 

1. Kamal turns 135 degrees anti-clockwise from south: ○ Facing south (initially). ○ 135 degrees anti-clockwise from south = 180 degrees - 135 degrees = 45 degrees south-west.

2. Kamal turns 180 degrees clockwise from 45 degrees to the anti-clockwise direction

Section - General English 

No. of Questions - 20 

Marks - 20

Sample Question 1

Select the pair that best expresses a relationship similar to that expressed in the original pair Petal: Flower 

A. Salt: Pepper 

B. Tyre: Bicycle 

C. Base: Ball 

D. Sandals: Shoes 

Correct Answer: C. Base: Ball 

Solution: The relationship between "Petal" and "Flower" is that a petal is a part of a flower. Similarly, a "Tyre" is a part of a "Bicycle". A tyre is an essential component of a bicycle, just as a petal is a part of a flower. Therefore, the correct answer is C. Tyre: Bicycle.

Sample Question 2

Pick out the best one that completes the incomplete statement: I was so annoyed that ______ 

A. I completely lost my temper 

B. I became very enthusiastic 

C. I completely lost my indifference

D. I became very energetic 

Correct Answer: A. I completely lost my temper 

Solution: The phrase "I was so annoyed that" suggests a negative emotional reaction. Among the options given, "I completely lost my temper" best completes the statement, indicating a strong reaction of anger or frustration due to being annoyed. Therefore, the correct answer is A. I completely lost my temper.

Sample Question 3

Choose the word that is nearly the same in meaning to the word in capital letters: NARCISSISM 

A. Excessive love of oneself 

B. Excessive hatred of oneself 

C. Love for humankind 

D. Excessive love for animals 

Correct Answer: A. Excessive love of oneself

Solution: Narcissism refers to excessive admiration and love for oneself. Therefore, the correct answer is A. Excessive love of oneself.