TS PGECET Question Paper 2025 (Available): Download June 17 Question Paper with Answer Key PDF

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Shivam Yadav

Educational Content Expert | Updated on - Jun 17, 2025

The TS PGECET 2025 Exam Shift 1 was conducted on June 17th, 2025 from 09:00 A.M. to 12:00 P.M. in a CBT Mode at various exam centres.

The TS PGECET 2025 Question Paper with Answer Key and Solution PDF is 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.

Check TS PGECET June 17 Shift 2 Question Paper with Solution PDF

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

TS PGECET 2025 Question Paper with Answer Key June 17 Shift 1 Download PDF Check Solutions
TS PGECET 2025 Question Paper


Question 1:

Find the eigenvalues of the matrix: \[ A = \begin{pmatrix} 4 & 1
2 & 3 \end{pmatrix} \]

  • (1) 3, 4
  • (2) 5, 2
  • (3) 4, 1
  • (4) 6, 1

Question 2:

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

  • (1) \(\frac{\pi}{2}\)
  • (2) \(\frac{\pi}{4}\)
  • (3) \(\pi\)
  • (4) 1

Question 3:

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

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

Question 4:

If a die is rolled twice, what is the probability that the sum of the numbers is 7?

  • (1) \(\frac{1}{6}\)
  • (2) \(\frac{1}{12}\)
  • (3) \(\frac{1}{36}\)
  • (4) \(\frac{5}{36}\)

Question 5:

Which data structure is used in the implementation of recursion?

  • (A) Stack
  • (B) Queue
  • (C) Linked List
  • (D) Array

Question 6:

In a series RLC circuit, if the resistance is 10Ω, inductance is 0.1H, and capacitance is 100μF, calculate the resonant frequency.

  • (1) 500 Hz
  • (2) 1000 Hz
  • (3) 1590 Hz
  • (4) 300 Hz

Question 7:

Determine the moment of inertia of a rectangular beam section with a width of 300 mm and height of 500 mm about its neutral axis.

  • (1) \(1.25 \times 10^7\) mm\(^4\)
  • (2) \(2.5 \times 10^7\) mm\(^4\)
  • (3) \(3.75 \times 10^7\) mm\(^4\)
  • (4) \(4.5 \times 10^7\) mm\(^4\)

Question 8:

Calculate the efficiency of a Carnot engine operating between temperatures of 500K and 300K.

  • (1) 40%
  • (2) 60%
  • (3) 70%
  • (4) 50%

Question 9:

What is the Reynolds number for flow in a pipe with a diameter of 0.05 m, velocity of 2 m/s, and kinematic viscosity of \(1 \times 10^{-6}\) m\(^2\)/s?

  • (1) 1000
  • (2) 2000
  • (3) 4000
  • (4) 5000

Question 10:

Which of the following is a beta-blocker used in the treatment of hypertension?

  • (A) Metoprolol
  • (B) Amlodipine
  • (C) Losartan
  • (D) Enalapril

TS PGECET 2025 Important Topics

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

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

Topic Weightage (%)
Engineering Mathematics 25%
Subject-Specific Topics (Branch-related) 75%
Linear Algebra and Calculus 5%
Differential Equations 5%
Probability and Statistics 5%
Control Systems 10%
Engineering Mechanics 10%
Materials Science 5%
Thermodynamics and Heat Transfer 10%
Electrical Circuits and Machines 15%
Analog and Digital Electronics 10%
Computer Networks 10%
Strength of Materials 10%
Fluid Mechanics 10%

TS PGECET Questions

  • 1.
    The Environmental Impact Assessment (EIA) is used to:

      • Estimate the financial profitability of a project
      • Predict environmental consequences of proposed initiatives
      • Replace the need for environmental regulations
      • Design new energy-efficient equipment

    • 2.
      Which of the following is not a principle of sustainable development?

        • Intergenerational equity
        • Integration of environmental, social, and economic factors
        • Maximization of resource exploitation
        • Polluter pays principle

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

          • $\frac{3}{10}$
          • $\frac{1}{5}$
          • $\frac{2}{5}$
          • $\frac{1}{10}$

        • 4.
          The top-down approach in nanofabrication refers to:

            • Building structures atom-by-atom
            • Assembling molecules using biological processes
            • Carving or shaping materials into nanoscale structures
            • Using chemical vapor deposition for coating

          • 5.
            The quantum confinement effect in nanoparticles is observed when:

              • The particle size is larger than 1 micron
              • The particle size is smaller than the electron’s de Broglie wavelength
              • The particle is in a vacuum
              • The temperature is near absolute zero

            • 6.
              Which of the following techniques is most commonly used for imaging at the nanoscale?

                • Optical microscopy
                • Scanning Electron Microscopy (SEM)
                • X-ray diffraction
                • Transmission Electron Microscopy (TEM)

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