GATE CS 2025 2 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE CS 2025 2 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

65 questions · 100 marks · 3 minutes. Engineering Mathematics: 18 · Programming and Data Structures: 8 · Digital Logic: 6 · Theory of Computation: 5 · Databases: 5 · Computer Organization and Architecture: 5 · Computer Networks: 5 · Algorithms: 5 · Operating System: 4 · Compiler Design: 4

Free sample questions from GATE CS 2025 2 Question Paper

Question 1 · Engineering Mathematics MCQ

Despite his initial hesitation, Rehman’s _________ to contribute to the success of the project never wavered.
Select the most appropriate option to complete the above sentence.

A.
ambivalence
B.
satisfaction
C.
resolve
D.
revolve

Question 2 · Engineering Mathematics MCQ

Bird : Nest :: Bee : _______
Select the correct option to complete the analogy.

A.
Kennel
B.
Hammock
C.
Hive
D.
Lair

Question 3 · Engineering Mathematics MCQ

If $P e^{x} = Q e^{- x}$ for all real values of $x$ , which one of the following statements is true?

A.
$P = Q = 0$
B.
$P = Q = 1$
C.
$P = 1; Q = - 1$
D.
$\frac{P}{Q} = 0$

Question 4 · Engineering Mathematics MCQ

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
Note: The figures shown are representative.

Question 5 · Engineering Mathematics MCQ

Let $p_{1}$ and $p_{2}$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_{1}$ and $p_{2}$ ?

A.
$p_{1} + p_{2}$ is not a prime number.
B.
$p_{1} p_{2}$ is not a prime number.
C.
$p_{1} + p_{2} + 1$ is a prime number.
D.
$p_{1} p_{2} + 1$ is a prime number.

Question 6 · Engineering Mathematics MCQ

Based only on the conversation below, identify the logically correct inference:
“Even if I had known that you were in the hospital, I would not have gone there to see you”, Ramya told Josephine.

A.
Ramya knew that Josephine was in the hospital.
B.
Ramya did not know that Josephine was in the hospital.
C.
Ramya and Josephine were once close friends; but now, they are not.
D.
Josephine was in the hospital due to an injury to her leg.

Question 7 · Engineering Mathematics MCQ

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

A.
CEADP
B.
IDBFC
C.
JGIBC
D.
IBCEC

Question 8 · Engineering Mathematics MCQ

Which one of the following options is correct for the given data in the table?

A.
$X (i) = X (i - 1) + I (i); Y (i) = Y (i - 1) I (i); i > 0$
B.
$X (i) = X (i - 1) I (i); Y (i) = Y (i - 1) + I (i); i > 0$
C.
$X (i) = X (i - 1) I (i); Y (i) = Y (i - 1) I (i); i > 0$
D.
$X (i) = X (i - 1) + I (i); Y (i) = Y (i - 1) I (i - 1); i > 0$

Question 9 · Engineering Mathematics MCQ

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square.
What is the area (in cm

^{2}

) of the rectangle PLMN?
Note: The figure shown is representative.

A.
$22$
B.
2
C.
8
D.
4

Question 10 · Engineering Mathematics MCQ

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
Note: The figure shown is representative.

A.
Bridges on P, Q, and T
B.
Bridges on P, Q, S, and T
C.
Bridges on Q, R, T, and V
D.
Bridges on P, Q, S, U, and V

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GATE CS 2025 2 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE CS 2025 2 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

65 Qs

Total Questions

100 Marks

Total Marks

3 Mins

Duration

+3 / -1 / 0

Marking Scheme

Section-wise Paper Structure

Engineering Mathematics

18 Qs

28% of total marks

Programming and Data Structures

8 Qs

12% of total marks

Digital Logic

6 Qs

9% of total marks

Theory of Computation

5 Qs

8% of total marks

Databases

5 Qs

8% of total marks

Computer Organization and Architecture

5 Qs

8% of total marks

Computer Networks

5 Qs

8% of total marks

Algorithms

5 Qs

8% of total marks

Operating System

4 Qs

6% of total marks

Compiler Design

4 Qs

6% of total marks

Free Solved Questions with Step-by-Step Solutions

Authentic examination problems with detailed derivations and answer keys.

Question 1

Despite his initial hesitation, Rehman’s _________ to contribute to the success of the project never wavered. Select the most appropriate option to complete the above sentence.

Question 2

Bird : Nest :: Bee : _______Select the correct option to complete the analogy.

Question 3

If P e^{x} = Q e^{- x} for all real values of x, which one of the following statements is true?

Question 4

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube? Note: The figures shown are representative.

Question 5

Let p_{1} and p_{2} denote two arbitrary prime numbers. Which one of the following statements is correct for all values of p_{1} and p_{2} ?

Question 6

Based only on the conversation below, identify the logically correct inference: “Even if I had known that you were in the hospital, I would not have gone there to see you”, Ramya told Josephine.

Question 7

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

Question 8

Which one of the following options is correct for the given data in the table? Iteration (i) 0123 Input (I) 20 -4 1015 Output (X) 20162641 Output (Y) 20 -80 -800 -12000

Question 9

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in cm^{2}) of the rectangle PLMN? Note: The figure shown is representative. P Q R S L M N

Question 10

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct? Note: The figure shown is representative. P Q R S T U V Z1 Z2 Z3 Z4 Z5

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