Attempt the GATE XE (Engineering Sciences) 2026 previous year paper in real CBT exam mode or practice mode. Answers will be added when the official answer key is published on CMB Space.
All GATE XE (Engineering Sciences) papers
87 questions. The official answer key for this paper has not been published on CMB Space yet, so the questions are shown without answers.
Marks: 1
Suresh said, “I did it yesterday.” Which one of the following options is the correct form of this sentence in indirect speech?
Marks: 1
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Marks: 1
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
Marks: 1
The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
Marks: 1
A coin with heads facing up is shown as and a coin with tails facing up is shown as . Six coins are placed in the Starting Arrangement, as shown in the figure below. A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.
Marks: 2
Exacerbate : Mitigate :: ___________ Choose the option with the correct pair of words to fill the blank.
Marks: 2
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Marks: 2
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20. Then the number of patients who have both diabetes and high BP is _______
Marks: 2
Four people P, Q, R, and S, of different ages, make the following observations. P – I am younger than S. Q – I am neither the youngest nor the oldest. R – P is older than me. Based on these observations, the youngest person is ______.
Marks: 2
GATE XE 2026, General Aptitude, Q.10: see the question image.
Marks: 1
GATE XE 2026, Engineering Mathematics, Q.1: see the question image.
Marks: 1
GATE XE 2026, Engineering Mathematics, Q.2: see the question image.
Marks: 1
GATE XE 2026, Engineering Mathematics, Q.3: see the question image.
Marks: 1
GATE XE 2026, Engineering Mathematics, Q.4: see the question image.
Marks: 1
GATE XE 2026, Engineering Mathematics, Q.5: see the question image.
Type: NAT | Marks: 1
GATE XE 2026, Engineering Mathematics, Q.6: see the question image.
Type: NAT | Marks: 1
GATE XE 2026, Engineering Mathematics, Q.7: see the question image.
Marks: 2
GATE XE 2026, Engineering Mathematics, Q.8: see the question image.
Marks: 2
GATE XE 2026, Engineering Mathematics, Q.9: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Engineering Mathematics, Q.10: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Engineering Mathematics, Q.11: see the question image.
Marks: 1
For a laminar, incompressible, and fully-developed flow through a circular pipe, the ratio of the maximum velocity to the average velocity of the flow is
Marks: 1
GATE XE 2026, Fluid Mechanics, Q.2: see the question image.
Marks: 1
GATE XE 2026, Fluid Mechanics, Q.3: see the question image.
Marks: 1
GATE XE 2026, Fluid Mechanics, Q.4: see the question image.
Marks: 1
Consider the following statements: Assertion (a) Surface tension acts along the interface of two fluids. Reason (r) The pressure of the fluid inside a bubble is higher than that of the fluid outside the bubble. Which one of the following options is correct?
Marks: 1
GATE XE 2026, Fluid Mechanics, Q.6: see the question image.
Marks: 1
GATE XE 2026, Fluid Mechanics, Q.7: see the question image.
Marks: 1
Which of the following statements about streamlines, pathlines, and streaklines is/are correct?
Type: NAT | Marks: 1
GATE XE 2026, Fluid Mechanics, Q.9: see the question image.
Marks: 2
GATE XE 2026, Fluid Mechanics, Q.10: see the question image.
Marks: 2
GATE XE 2026, Fluid Mechanics, Q.11: see the question image.
Marks: 2
Consider two different cases of water flowing through a smooth pipe of 50 cm diameter. The mass flow rates for the two cases are (i) 0.25 kg.s−1, and (ii) 0.8 kg.s−1. Assume the density and dynamic viscosity of water as 1000 kg.m−3 and 10−3 Pa.s, respectively. Which one of the following options is correct?
Marks: 2
GATE XE 2026, Fluid Mechanics, Q.13: see the question image.
Marks: 2
GATE XE 2026, Fluid Mechanics, Q.14: see the question image.
Marks: 2
GATE XE 2026, Fluid Mechanics, Q.15: see the question image.
Marks: 2
GATE XE 2026, Fluid Mechanics, Q.16: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Fluid Mechanics, Q.17: see the question image.
Type: NAT | Marks: 2
A ship is designed to sail at a speed of 8 m.s−1. A designer makes a 1/10 scaled model to test the ship in a water tunnel. The model and the ship satisfy the dynamic similarity. The speed (in m.s−1) of the model is _________. (rounded off to two decimal places)
Type: NAT | Marks: 2
GATE XE 2026, Fluid Mechanics, Q.19: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Fluid Mechanics, Q.20: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Fluid Mechanics, Q.21: see the question image.
Type: NAT | Marks: 2
Air flows through a pipe of diameter D with an average velocity of 3 m.s−1. The Darcy friction factor of the pipe is 0.02. Assume acceleration due to gravity as 10 m.s−2. If the head loss per meter is 0.05, the diameter (in m) of the pipe is __________. (rounded off to two decimal places)
Marks: 1
GATE XE 2026, Solid Mechanics, Q.1: see the question image.
Marks: 1
Two smooth drums each weighing W and radius, r are connected by a stiff rope of length, h as shown in the figure. Force F is applied using a massless lever (RS) of length, l. The friction between the drums and the lever (RS) is negligible. The system is in static equilibrium. Which one of the following represents the CORRECT free body diagram of the lever (RS)? Figures are not to scale. N1, N2, and N3 in the options are reaction forces and Ff is the frictional force.
Marks: 1
Identify the zero-force member in the truss structure as shown in the figure. Figure is not to scale
Marks: 1
GATE XE 2026, Solid Mechanics, Q.4: see the question image.
Marks: 1
Which among the following options is/are CORRECT unit(s) of stress?
Marks: 1
GATE XE 2026, Solid Mechanics, Q.6: see the question image.
Type: NAT | Marks: 1
GATE XE 2026, Solid Mechanics, Q.7: see the question image.
Type: NAT | Marks: 1
GATE XE 2026, Solid Mechanics, Q.8: see the question image.
Type: NAT | Marks: 1
[11 4 Sum of the principal stresses of a 2D stress state is ______ (in integer). 5] 4
Marks: 2
GATE XE 2026, Solid Mechanics, Q.10: see the question image.
Marks: 2
Which one of the following options is the CORRECT absolute value of the bending moment at R in the frame as shown in the figure? Figure is not to scale
Marks: 2
GATE XE 2026, Solid Mechanics, Q.12: see the question image.
Marks: 2
Two prismatic rods of identical lengths are designed for the same strain energy density when subjected to the same axial load. One of the rods is made of steel (Young’s modulus = 210 GPa) and another is made of aluminum (Young’s modulus = 70 GPa). If the diameter of the aluminum rod is 70 mm, then which one of the following options corresponds to the diameter of the steel rod in mm?
Marks: 2
GATE XE 2026, Solid Mechanics, Q.14: see the question image.
Marks: 2
A 2D stress state of pure shear is shown in the figure. Which one of the following options is equivalent to the given stress state? Figures are not to scale.
Marks: 2
GATE XE 2026, Solid Mechanics, Q.16: see the question image.
Type: NAT | Marks: 2
A motorized pulley of diameter 200 mm is used to transfer a block of mass 100 kg from platform 1 to platform 2 using a ramp kept at an inclination of 30° as shown in the figure. The coefficient of static friction between the block and the ramp is 0.2. The acceleration due to gravity is 10 m/s2. Assume the rope to be parallel to the ramp surface. The minimum torque required by the motor to transport the block uphill is ____ Nm (rounded off to two decimal places). Figure is not to scale
Type: NAT | Marks: 2
GATE XE 2026, Solid Mechanics, Q.18: see the question image.
Type: NAT | Marks: 2
A thin walled cylindrical container of diameter 2 m and wall thickness of 2.5 cm is made of steel whose Young’s modulus is 200 GPa and yield stress is 450 MPa. Using von Mises criteria, the maximum permissible pressure is ______MPa (rounded off to the nearest integer).
Type: NAT | Marks: 2
A solid axial bar made of steel with Young’s modulus, 200 GPa and Poisson’s ratio, 0.3, is subjected to uniaxial stress of 50 MPa. The absolute value of the maximum shear strain on the outer surface of the bar is ______× 10−4 (rounded off to two decimal places).
Type: NAT | Marks: 2
GATE XE 2026, Solid Mechanics, Q.21: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Solid Mechanics, Q.22: see the question image.
Marks: 1
GATE XE 2026, Thermodynamics, Q.1: see the question image.
Marks: 1
GATE XE 2026, Thermodynamics, Q.2: see the question image.
Marks: 1
GATE XE 2026, Thermodynamics, Q.3: see the question image.
Marks: 1
Which ONE of the following statements is CORRECT? For an ideal gas, specific enthalpy ( h ) is a function of both temperature and
Marks: 1
A mixture of carbon-dioxide (CO2), nitrogen (N2) and oxygen (O2) are introduced in a rigid and impermeable tank containing only liquid water (H2O). Assume that the components are non-reacting and un-dissociated. The system is kept isolated till an equilibrium is achieved, where only two phases are present. The degrees-of- freedom of the equilibrium mixture, as obtained from the phase rule, is
Marks: 1
GATE XE 2026, Thermodynamics, Q.6: see the question image.
Marks: 1
GATE XE 2026, Thermodynamics, Q.7: see the question image.
Type: NAT | Marks: 1
GATE XE 2026, Thermodynamics, Q.8: see the question image.
Type: NAT | Marks: 1
Consider an ideal Otto-cycle with cold-air-standard assumptions to be applicable. The temperature of the working fluid at the start and the end of the compression process is 300 K and 750 K, respectively. For the working fluid take the ratio of the specific heat capacities as 1.4. The thermal efficiency (in %) of the cycle is ________________ (rounded off to two decimal places).
Marks: 2
GATE XE 2026, Thermodynamics, Q.10: see the question image.
Marks: 2
GATE XE 2026, Thermodynamics, Q.11: see the question image.
Marks: 2
GATE XE 2026, Thermodynamics, Q.12: see the question image.
Marks: 2
Consider an ideal Rankine cycle with fixed conditions at the turbine inlet. If the condenser pressure is lowered, which of the following statements is/are CORRECT?
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.14: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.15: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.16: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.17: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.18: see the question image.
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.19: see the question image.
Type: NAT | Marks: 2
Consider an ideal Diesel-cycle with cold-air-standard assumptions to be applicable. The compression ratio is 20 and the cut-off ratio is 1.8. At the end of the compression process, the working fluid is at 1120 K and 6.6 MPa. The ratio of the specific heat capacities is 1.4 for the working fluid. The temperature (in K) at the end of the expansion process is ________________(rounded off to two decimal places).
Type: NAT | Marks: 2
A mixture of helium (He) and nitrogen (N2) expands in a turbine from 800 kPa to 100 kPa. The mixture composition is 40% He and 60% N2 by mass. The turbine inlet temperature is 1000 K. The temperature (in K) at the turbine exit is ________________(rounded off to two decimal places). Assume: The process is isentropic. Kinetic and potential energy changes in the process are negligible. He and N2 behaves as ideal gases. Specific heat capacities are constant. Use the following data: Ratio of specific heat capacities for He and N2 are 1.67 and 1.4, respectively. Specific heat capacities at constant pressure for He and N2 are 5.19 kJ/kg-K and 1.04 kJ/kg-K, respectively.
Type: NAT | Marks: 2
GATE XE 2026, Thermodynamics, Q.22: see the question image.
