TS PGECET Question Paper 2025 (Available): Download June 18 Shift 2 Question Paper with Answer Key PDF

Updated 3+ months ago

The TS PGECET 2025 Exam Shift 2 was conducted on June 18^th, 2025 from 02:00 P.M. to 04:00 P.M. in a CBT Mode at various exam centres.

The TS PGECET 2025 Question Paper with Answer Key and Solution PDF will be available here. It consists of 120 questions, each carrying one mark, with a total duration of 120 minutes. The exam was divided into different sections based on the respective branches of Engineering and Technology.

TS PGECET 2025 Question Paper with Answer Key (Memory-Based)

TS PGECET 2025 Question Paper with Answer Key June 18 Shift 2	Download PDF	Check Solutions

Question 1:

Determine the rank of the matrix:
\[ \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{pmatrix} \]

(1) 1
(2) 2
(3) 3
(4) 0

View Solution

Question 2:

Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]

(1) $e - 1$
(2) $e$
(3) $e - 2$
(4) $2e - 1$

View Solution

Question 3:

Solve the differential equation:
\[ \frac{d^2y}{dx^2} - 4y = 0 \]

(1) $y = C_1 e^{2x} + C_2 e^{-2x}$
(2) $y = C_1 \cos(2x) + C_2 \sin(2x)$
(3) $y = C_1 e^{x} + C_2 e^{-x}$
(4) $y = C_1 e^{4x} + C_2 e^{-4x}$

View Solution

Question 4:

A bag contains 3 red and 2 blue balls. Two balls are drawn without replacement. What is the probability that both are red?

(1) $\frac{3}{10}$
(2) $\frac{1}{5}$
(3) $\frac{2}{5}$
(4) $\frac{1}{10}$

View Solution

Question 5:

Use Newton-Raphson method to find the root of $f(x) = x^3 - x - 2 = 0$ starting with $x_0 = 1$ after one iteration.

(1) $1.5$
(2) $1.333$
(3) $1.25$
(4) $1.4$

View Solution

Question 6:

What is the time complexity of inserting an element into a balanced binary search tree?

(1) $O(\log n)$
(2) $O(n)$
(3) $O(n \log n)$
(4) $O(1)$

View Solution

Question 7:

Which algorithm is used for finding the shortest path in a weighted graph with negative edges?

(1) Bellman-Ford
(2) Dijkstra’s
(3) Kruskal’s
(4) Prim’s

View Solution

Question 8:

What is the role of the page table in an operating system?

(1) Maps virtual addresses to physical addresses
(2) Stores process executable code
(3) Manages CPU scheduling
(4) Handles file system operations

View Solution

Question 9:

What is the purpose of the subnet mask in IP addressing?

(1) To separate network and host portions of an IP address
(2) To encrypt data packets
(3) To assign IP addresses dynamically
(4) To route packets between networks

View Solution

Question 10:

What is a primary key in a relational database?

(1) A unique identifier for each record in a table
(2) A key used for sorting records
(3) A key linking two tables
(4) A key for encrypting data

View Solution

TS PGECET 2025 Exam Pattern

TS PGECET 2025 is conducted for admission into various postgraduate courses like M.Tech, M.Pharm, and other engineering disciplines in Telangana.

The TS PGECET consists of 120 Multiple Choice Questions (MCQs) to be solved in 120 minutes.

Component	Details
Mode of Exam	Computer-Based Test (CBT)
Duration	120 Minutes
Total Questions	120 MCQs
Total Marks	120 Marks
Marking Scheme	+1 for each correct answer, 0 for each incorrect answer
Section-wise Distribution	Engineering Mathematics – 30 Subject-Specific Questions – 90
Question Type	Multiple Choice Questions (MCQs)
Language of Paper	English

SHARE ON FACEBOOK SHARE ON TWITTER

TS PGECET Questions

1.
What is normalization in database design?

Process of organizing data to eliminate redundancy
Process of indexing tables for faster queries
Process of encrypting database records
Process of backing up database files

View Solution

2.
Evaluate the integral: \[ \int_0^\pi \sin^2(x) \, dx \]

$\frac{\pi}{2}$
$\frac{\pi}{4}$
$\pi$
1

View Solution

3.
Let $ \vec{F} $ be an irrotational vector function. If $ C $ is the closed curve which is the boundary of an open surface $ S $, then: \[ \oint_C \vec{F} \cdot d\vec{R} = ? \]

$ \iint_E \left( \frac{\partial^2 \phi}{\partial x^2} - \frac{\partial^2 \phi}{\partial y^2} \right) dx\,dy $, $ \phi $ is a scalar function and $ E $ is the region of $ C $
$ \iiint_S \text{div } \vec{F} \, dv $
$ \int_C (\text{grad } \phi) \cdot d\vec{R} = 0 $, for some scalar function $ \phi $
divergence of $ \vec{F} $

View Solution

4.
Evaluate the limit:
\[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]

$-\frac{1}{6}$
$\frac{1}{6}$
$0$
$\infty$

View Solution

5.
The value of the integral $ \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy $ where $ C $ is the boundary of the region enclosed by $ y = x^2 $ and $ y^2 = x $, described in the positive sense, is

$-2$
$0$
$-1$
$2$

View Solution

6.
Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]

$e - 1$
$e$
$e - 2$
$2e - 1$

View Solution

Categories	State
General	1000
sc	500

TS PGECET Question Paper 2025 (Available): Download June 18 Shift 2 Question Paper with Answer Key PDF

TS PGECET 2025 Question Paper with Answer Key (Memory-Based)

TS PGECET 2025 Exam Pattern

TS PGECET Questions

1.
What is normalization in database design?

2.
Evaluate the integral: \[ \int_0^\pi \sin^2(x) \, dx \]

3.
Let \( \vec{F} \) be an irrotational vector function. If \( C \) is the closed curve which is the boundary of an open surface \( S \), then: \[ \oint_C \vec{F} \cdot d\vec{R} = ? \]

4.
Evaluate the limit:
\[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]

5.
The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is

6.
Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]

Fees Structure

Structure based on different categories

Comments

SUBSCRIBE TO OUR NEWS LETTER

TS PGECET 2025 Question Paper with Answer Key (Memory-Based)

TS PGECET 2025 Exam Pattern

TS PGECET Questions

1.What is normalization in database design?

2. Evaluate the integral: \[ \int_0^\pi \sin^2(x) \, dx \]

3.Let \( \vec{F} \) be an irrotational vector function. If \( C \) is the closed curve which is the boundary of an open surface \( S \), then: \[ \oint_C \vec{F} \cdot d\vec{R} = ? \]

4.Evaluate the limit: \[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]

5.The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is

6.Evaluate the integral: \[ \int_0^1 x e^x \, dx \]

Fees Structure

Structure based on different categories

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
What is normalization in database design?

2.
Evaluate the integral: \[ \int_0^\pi \sin^2(x) \, dx \]

3.
Let \( \vec{F} \) be an irrotational vector function. If \( C \) is the closed curve which is the boundary of an open surface \( S \), then: \[ \oint_C \vec{F} \cdot d\vec{R} = ? \]

4.
Evaluate the limit:
\[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]

5.
The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is

6.
Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]