TS PGECET 2026 Mechanical Engineering (ME) Question Paper is available for download here. JNTU Hyderabad on behalf of Telangana Council of Higher Education (TGCHE) conducted TS PGECET 2026 ME exam on May 29 in Shift 1 from 10 AM to 12 PM. TS PGECET ME Question Paper consists of 120 questions for 120 marks to be attempted in 2 hours.
- TS PGECET ME Question Paper 2026 is divided into 2 sections- Engineering Mathematics with 10 questions and Mechanical Engineering domain with 110 questions.
- Each questions carries 1 mark each and there is no negative marking for incorrect answers.
Candidates can download TS PGECET 2026 ME Question Paper with Answer Key and Solution PDF from links provided below.
TS PGECET 2026 ME Question Paper with Solution PDF
| TS PGECET ME Question Paper 2026 | Download PDF | Check Solutions |
If \( \lambda_1, \lambda_2 \) and \( \lambda_3 \) are the eigen values of a square matrix \( A \), then the eigen values of \( A^{-1} + 2I + A \) are
Let the matrix \( A = \begin{bmatrix} 1 & 4
2 & -1 \end{bmatrix} \).
Statement-I: \( A^2 = 9I \)
Statement-II: The eigen values of \( A \) are \( -3 \) and \( 3 \)
The correct answer is
Statement-I: The function \( u = x^2 + y^2 \), \( v = \tan^{-1}\left(\frac{y}{x}\right) \) are functionally independent.
Statement-II: The Jacobian \( \frac{\partial(u,v)}{\partial(x,y)} \) is non-zero.
The correct answer is
If \( f \) and \( g \) are the solutions of Laplace equation then \( \nabla \cdot \{(f \nabla g) - (g \nabla f)\} = \)
If the particular integral of \( y'' - 4y' = x^2 e^{2x} \) is in the form \( y_p = e^{2x} y(x) \), then \( y(x) \) is
\( \mathcal{L}\{ \sin(t-3)u(t-3) \} = \)
The Laurent's series for the function \( f(z) = 1 + \frac{3}{z+2} - \frac{8}{z+3} \) in the region \( |z| < 2 \) is
Given \( x_0 \neq 0 \), if the iteration formula \( x_{n+1} = \frac{1}{2}\left( -\frac{7}{x_n} + x_n \right) \), \( n \geq 0 \) is used to find the root of \( f(x) = 0 \), then \( f(x) = \)
If a random variable \( X \), defined such that \( E(X-1)^2 = 10 \) and \( E(X-2)^2 = 6 \) then mean \( (\mu) \) and variance \( (\sigma^2) \) are
Which of the following is not the property of a distribution function \( F(x) \) of a random variable \( X \)?
Three coplanar equilibrium forces \( P = 40 N \), \( Q = x N \) and \( R = y N \) are acting on a body and the body is said to be in equilibrium when the angle included between each other is \( 120^\circ \), then \( x = \)
Two equal forces each of magnitude P acting at a point with an angle of \( (\alpha) \), then the resultant force is
The range of projectile is maximum when the angle of projection is
If the double threaded square screw is having mean diameter \( 8 cm \) and pitch \( 2 cm \), then the lead of the double threaded square screw is
The simple truss structure is shown below. The forces acting in the members AB and BC respectively are
If a particle has the initial velocity of \( v_0 = 12 m/s \) to the right at \( S_0 = 0 \). Then what is the position when \( t = 10 s \) and \( a = 2 m/s^2 \) to the left?
The relation of three elastic constants of a metal in terms of Young's Modulus (E), Modulus of rigidity (G) and Bulk Modulus (K) is expressed as
Which planes carry maximum normal stress and what is shear stress on these planes
Based on the limiting factor to prevent bursting in thin cylinder, the design is primarily made based on which stress
A tapering bar varying from the diameters from `d\(_1\)' to `d\(_2\)' and a bar of uniform cross section `d' have the same length and subjected to same axial pull attains the same extension. Then the `d' is equal to
In general, a sudden jump in the bending moment diagram is due to the following type of loading condition?
A circular shaft has been designed for the twisting moment of \(5 kN\). If the twisting moment is reduced to \(4 kN\), then what will be the maximum value of bending moment that can be applied for the same designed condition?
A long steel column of uniform cross section is subjected to a crippling load of \(10 kN\) as per the Euler designed condition. If the length of the column is reduced to half, then what would be the maximum Euler's crippling load?
Two bars A and B made of different material have same length. The coefficient of expansion and Young's modulus of bar B is twice that of bar A. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B is
In a given mechanism, the number of links are five. Then the number of instantaneous centres of the mechanism is
Assume that the connecting rod and the crank of an engine forms as two sides of the triangle. If the area included in the triangle is maximum when the crank is at \(60^\circ\), then the ratio of length of connecting rod to the radius of the crank is
For the better dynamic performance of cam follower mechanism, the following displacement diagrams should be chosen
The minimum number of teeth on the pinion in order to avoid interference for \(20^\circ\) full depth involute system is
A flywheel is designed for engine speed variation from \(190 rps\) to \(210 rps\). Calculate the inertia of the wheel if the kinetic energy stored in the flywheel is \(400 N\).
A governor is said to be stable, if the radius of rotation of balls
Which of the following statements are associated with the complete dynamic balancing of rotating systems?
I. Resultant couple due to all inertia forces is zero
II. Support reactions due to forces are zero but not due to couples
III. The system is automatically statically balanced
IV. Centre of masses of the system lies on the axis of rotation
Consider a single degree of freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle of the displacement with respect to the exciting force in degrees is
In Rayleigh's method, which of the following energy at the mean position is equal to the maximum potential energy (or strain energy) at the extreme position?
The critical speed of the shaft is affected by the
If a radial ball bearing has a basic load rating of \(50 kN\) and desired rating life is \(6000 hours\), then the equivalent radial load that the bearing can carry at \(500 rpm\) is
The difference between two principal stresses is \(120 MPa\), when a circular shaft is subjected to an axial force and shear force. What is the factor of safety based on maximum shear stress theory if elastic limit of the bar is \(300 MPa\)?
If the core diameter of threads equal to the diameter of unthreaded portion of the bolt, then it is known as
A shaft diameter 'd' is connected to the hub through a square key each of side 'd/4' and length '\(l\)' and transmits a torque 'T'. Assume the length of key is equal to thickness of the pulley, the average shear stress developed in the key is
When brakes are applied to a moving vehicle, then the kinetic energy of the vehicle is converted to
Generally, in welded joints, the maximum size of fillet weld is considered by
The close-coiled helical springs 'A' and 'B' are of same material, same coil diameter, same wire diameter and subjected to same load. If the number of turns of spring 'A' is half that of spring 'B', the ratio of deflection of spring 'A' to spring 'B' is
The variation of volume of liquid with respect to the pressure and its reciprocal respectively are
If the net rotation of fluid particles about their mass centre remains zero, then such type of flow is known as
When a body is floating in the liquid and given a small angular displacement, then the body starts oscillating about a centre. That centre is called as
A pipe line has a diameter of \(5 cm\) in which water flows at a pressure of \(10^5 N/m^2\) with a mean velocity of \(2 m/s\). If the head of the water at the cross section is \(5 m\) above the datum line and consider \(g = 10 m/s^2\), then the total head is
For the fluid flowing over the flat plate, the state of boundary layer separation occurs when
A pipe friction test shows that, over the range of speeds used for the test, the non-dimensional friction factor varies inversely with Reynolds number. From this, one can conclude that the
In turbulent flow, the loss of pressure head is approximately (where v is the velocity of flow)
During a summer day a scooter rider feels more comfortable while on the move than while at rest at a stop light because
For heat transfer calculation in fins, if the Biot number is very small (\(Bi < 0.1\)) it implies
The characteristic length (\(L_{c}\)) for the calculation of Biot number (\(Bi\)) for a sphere of radius 'R' subjected to Newtonian cooling is
For a fully developed flow through a pipe, how will the heat transfer coefficient (h) change, when the mean flow rate is doubled with all other conditions remaining the same?
If the surface temperature of hot body is doubled, then rate of radiation energy emitted will be enhanced by a factor of
Expansion bellows are provided in the shell and tube heat exchangers in order to
On the specified surface, if \(35 %\) of incident radiation energy is reflected and the transmissivity of the body is \(0.3\), then the emissivity of the surface is
In a combined cycle for power generation, if the topping cycle has an efficiency of 45% and for bottoming cycle 30%, then the combined efficiency of the cycle is
A real gas undergoes throttling from 50 bar to 10 bar from an initial temperature of 300 K. If \(\mu_{JT} = -0.05 K/bar\) for the initial condition, what is the approximate value of the exit temperature?
A mixture of gas expands from \(0.03 m^3\) to \(0.06 m^3\) at a constant pressure of 1 MPa and absorbs 84 kJ of heat during the process. The change in internal energy of the mixture is
Two reversible heat engines are operated with same heat input and heat output. One of the engine is operated between the temperature limits of \(T_2\) and 200 K & another is between 800 K and \(T_2\). Then the value of \(T_2\) is
If a substance is perfect crystal and existing at absolute zero K, then the specific entropy of the substance is
The maximum amount of low grade energy, which is convertible into work is known as
A balloon containing an ideal gas is initially kept in an evacuated and insulated room. If the balloon ruptures and the gas fills the entire room, what is the correct statement at the end of the process?
Based on second law of thermodynamics the loss in available energy is being quantified as
The clearance is provided in the reciprocating compressor with clearance ratio of `k'. If the pressure ratio is \(\frac{P_2}{P_1}\), then the volumetric efficiency in terms of clearance ratio k, is
In an axial flow compressor, if the air stream is not able to follow the blade contour such phenomena is known as
In an ideal Brayton power cycle operated for the gas turbine plant, if \(T_1\) is the minimum temperature, \(T_3\) is the maximum temperature and pressure ratio is \(r_p\), then the net work ratio is given as
If regenerator is added to a Brayton cycle, the thermal efficiency is improved due to
Generally, in spark ignition engines, the compression ratio cannot be enhanced beyond certain limit because to avoid
In a CI engine, the delay period in the combustion process mainly corresponds to
The refrigerant and absorbent used in Vapour absorption refrigeration system respectively are
An air conditioning system mixes 30% fresh air at 35 \(^\circ\)C DBT and 50% RH with 70% recirculated air at 35 \(^\circ\)C DBT and 50% RH. Which of the following statements about "mixed air condition" is true?
The whirl component of turbine blades is zero for the following turbine.
A single stage impulse turbine with a diameter of 1.2 m runs at 3000 rpm. If the blade speed ratio is 0.42, the inlet velocity of steam will be (in \(ms^{-1}\))
In order to increase the corrosion resistance of stainless steel, the following element is added
If the material has the tendency to fracture without any appreciable deformation is known as
The heat treatment process used to enrich the steel surface by addition of Nitrogen is known as
In a linearly hardening plastic material, the true stress beyond the initial yielding
The area under the linear curve of stress-strain diagram with in the elastic limit is known as
Which one of the following metal has maximum value of yield strength?
Based on Iron-Carbon diagram, when austenite decomposes during cooling process, an eutectoid mixture is formed. The nature of the element is
In casting process, the covering passage is used for feeding the liquid metal into the mould to
A low projection on the drag surface of a casting commencing near the gate by erosion of sand due to the high velocity liquid metal in the bottom gating. This defect is known as:
The shrinkage allowance has been provided on the pattern to compensate the shrinkage when:
The commonly used casting process for producing intricate and detailed sculptures is:
While designing the gating system, the ratio of 1 : 2 : 4 represents:
The extrusion process used to manufacture the short length components like paste tubes, gun shells etc., is
The phenomenon where a metal part tends to partially return to its original shape after the forming tool is removed is known as
The secondary operation which is used to improve the self-lubricating capacity of the sintered part in powder metallurgy is
In MIG welding process, the commonly used gases for shielding are
The welding process used for joining railway tracks is
What is the key requirement for an adhesive to properly bond to a surface?
According to the Taylor's tool life equation, if the cutting speed is halved with index \( n = 0.25 \), then the tool life:
The Titanium Nitride or Titanium Carbonitride coated cutting tools are majorly used to
As the cutting speed increases, how do the machining cost and tooling cost behave?
The vacuum is a mandatory requirement for which of the following non traditional machining process?
A device/mechanism used to position a work piece in the same position, cycle after the cycle is called
The main purpose of an Automatic Tool Changer (ATC) in CNC machining process is to reduce:
Which type of jig is generally used for machining in more than one plane without changing the setting?
Which of the following parameters is NOT the essential requirement for accuracy of the measurement with the sine bar?
The instrument used for the direct measurement of surface quality by dragging a stylus across the surface is:
As per the Indian standards, the limits and fits specify how many grades of tolerances?
Which of the following is NOT a common probe type used in a coordinate measuring machine?
What is the primary purpose of direct numerical control in the context of CAD/CAM integration?
Which of the additive manufacturing techniques uses a laser to cure liquid photopolymer resin in a vat?
Find out the correct sequence for the additive manufacturing process chain?
In time series analysis of forecasting technique, which of the source variation can be estimated by ratio to trend method?
The correct order of series of operations to be carried out in production planning control is:
In the first come first service (FCFS) scheduling algorithm, which process is executed first?
The term Therbligs are generally relevant with
If the objective is maximizing the quality production by ensuring production machine availability and reducing machine breakdowns, which of the following lean tool will best work for this?
For an assembly line, the inventory was calculated by considering the production rate as 4 pieces per hour and the average processing time as 60 minutes. Now, if the production rate is kept the same and the average processing time is brought down by 30%, then the change in inventory is
To issue and running balance of certain items of stock in inventory, which of the following keeps a record of items?
The demand for a commodity is 100 units per day. Every time an order is placed, a fixed cost of Rs 400 is incurred and the holding cost is Rs 0.08 per unit per day. If the lead time is 13 days, then the economic lot size and the reorder point are in units
Average stock level required to maintain the inventory is calculated as
Which of the following relationships hold correct for the safety stock of inventory?
The pessimistic time and optimistic time of completion of an activity are given as 10 days and 4 days respectively. Then the variance of the activity is
In a graphical solution of solving Linear Programming Problem to convert inequalities into equations, they
The penalty of a row in a transportation problem is obtained by
Which of the cost estimates and performance measures are not used for economic analysis of a queuing system?
The activities of W, X, Y and Z are the direct precursors of A. What is the earliest starting time for A, if the activities of earliest finishing times are 12, 15, 10 and 6?
TS PGECET 2026 Exam Pattern
| Particulars | Details |
|---|---|
| Exam Mode | Computer-Based Test(CBT) |
| Question Type | Multiple Choice Questions(MCQs) |
| Total Questions | 120 Questions |
| Total Marks | 120 Marks |
| Exam Duration | 2 Hours |
| Marking Scheme | +1 mark for each correct answer |
| Negative Marking | No Negative Marking |
| Language of Paper | English |
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