GATE 2026 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2026 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Suresh said, “I did it yesterday.” Which option gives the correct indirect speech?
- Question 2 – Which tile continues the sequence shown? The graphical options A–D are included below the sequence.
- Question 3 – An art gallery’s walkways are shown as lines. Each black dot is a junction. A guard placed at a junction watches every walkway incident on it. Find…
- Question 4 – In a certain year,2 June is Thursday. What day is 3 July in that year?
- Question 5 – Six coins show heads H or tails T. The Starting Arrangement is H H H T T T and the Final Arrangement is T T T H H H, as illustrated. One step…
- Question 6 – Exacerbate : Mitigate :: . Choose the corresponding word pair.
- Question 7 – The paper net in Panel I is folded along its dashed lines into a cube, with shaded regions outside. Which displayed cubes in Panel II can result?
- Question 8 – In a population, every high-cholesterol patient also has high blood pressure (BP). Some high-BP patients have diabetes, but no patient has both high…
- Question 9 – Four people P, Q, R, S have distinct ages. P says “I am younger than S.” Q says “I am neither the youngest nor the oldest.” R says “P is older than…
- Question 10 – Three externally tangent circles C 1,C 2,C 3 have centers O 1,O 2,O 3 and radii r 1=2 cm,r 2=1 cm,r 3. The angle O 1O 3O 2 is 90,as shown. Find r 3 in…
- Question 11 – Identify these PDEs in order, where c is constant:(i) 2u 1 t2=c22u 1 x2,(ii) u 1 t=c22u 1 x2,(iii) 2u 2 x2+2u 2 y2=0.
- Question 12 – A box contains one red and two blue balls. After each random draw, the ball is returned. The first two draws were blue. Find the probability the third…
- Question 13 – Find the general solution of d2y/dx2= 2x.
- Question 14 – Square matrices A,B of the same order satisfy (AB)=-80 and A=5. Find (BT).
- Question 15 – For 2x+4y=-7 and 3x+5y=1,Gauss elimination is performed without pivoting. What diagonal entries remain after forward elimination?
- Question 16 – Which plough attachment is a miniature plough bottom that cuts a narrow shallow furrow ahead of the shin and moves trash and roots into the main…
- Question 17 – Fuel property P predominantly governs hard/cold starting in a spark-ignition engine;property Q predominantly governs ignition delay in a…
- Question 18 – A tractor engine delivers brake torque 382 N·m at 2000 rpm. Its radiator fan draws 5% of brake power and supplies 2.8\,m3/s of incompressible air…
- Question 19 – A 2WD tractor has driving-axle dynamic normal load 28 kN, rolling radius 0.60 m, total driving-axle torque 10.7 kN·m, wheel slip 18%,and net traction…
- Question 20 – RMS sound pressure increases by 50%. Approximately how much does sound-pressure level increase, in dB?
- Question 21 – A trapezoidal channel carries 5\,m3/s uniformly. Bottom width is 2 m, side slope 2H:1V, bed slope 1%,and Manning roughness 0.03. Find channel…
- Question 22 – In the wind-erosion relation used here, how does the transported soil amount vary?
- Question 23 – A chute spillway’s discharge-carrier bed changes from a steeper slope to a milder slope. Which transition is provided?
- Question 24 – Which natural colloidal clay absorbs water and swells to 8–15 times its dry size, and is used to seal farm ponds?
- Question 25 – Depth–area–duration analysis gives maximum average rainfall depth 80 mm over a 103\,km2 catchment during a six-hour storm. For that same storm, how…
- Question 26 – Which quantity is dimensionless?
- Question 27 – The water activity of a food equals the fractional relative humidity of air in equilibrium with that food. At the same specified temperature, how does…
- Question 28 – Dust-laden air enters an 800 mm diameter cyclone at tangential velocity 30 m/s near the wall. Mean particle diameter is 100\, m. With…
- Question 29 – A circular mild-steel wheat bin is 8 m high. Wheat bulk density is 800\,kg/m3,grain–wall static friction coefficient 0.40,and bin hydraulic radius 1…
- Question 30 – Which dimensionless number relates specific heat, dynamic viscosity and thermal conductivity?
- Question 31 – Which model or method is NOT associated with food-product rheology?
- Question 32 – One kilogram of air is compressed reversibly from 100 kPa and 15 L to 2000 kPa and 1 L. Neglect other losses. Find the polytropic exponent n, to three…
- Question 33 – A tubewell discharges 25\,m3/h for 10 h/day. Average irrigation depth is 80 mm and irrigation interval 20 days. At irrigation intensity 80%,find the…
- Question 34 – A tile drainage system with drainage coefficient 25 mm drains 0.2\,km2. Find average discharge in m3/s,to three decimals.
- Question 35 – A centrifugal pump’s impeller speed increases by 30%. If its required power becomes n times the original power, find n, to two decimals.
- Question 36 – Evaluate I= 01 01x(xy)\,dx\,dy.
- Question 37 – A 2×2 matrix has determinant 1.6 and eigenvalue sum −2.8. Find its eigenvalues.
- Question 38 – A massless thin flat belt drives a 0.6 m diameter output pulley at 500 rpm without slip. Contact angles are 190° on this pulley and 170° on the…
- Question 39 – A 540 rpm tractor PTO drives a tiller through a flange coupling with a shear pin parallel to the shaft,60 mm from its axis. The tiller normally needs…
- Question 40 – A horizontal-axis wind turbine must deliver 2 kW shaft power at 7 m/s wind speed. Power coefficient is .36,drivetrain efficiency .90,and air density…
- Question 41 – For wheat, the ratio of wet-basis moisture content to dry-basis moisture content is 4:5. Find the dry-matter mass to water mass ratio.
- Question 42 – A reverse-Carnot refrigerator operates between −30°C and 20°C with refrigeration capacity 70 kW. Find the nearest condenser heat-rejection rate in kW.
- Question 43 – A 2 mm diameter electric wire is covered by 2 mm thick plastic of conductivity 0.5 W/(m·K). Air is at 320 K with external convection coefficient 25…
- Question 44 – For black-pepper grinding,80% of feed passes a 6 mm screen and 80% of product passes 0.5 mm. Gross energy is 10 kWh/t. Under Bond’s law, with the same…
- Question 45 – A single-effect evaporator concentrates orange juice so product solids concentration/feed solids concentration=2.7. Feed is 100 kg/h at 30°C, and…
- Question 46 – At 60°C dry-bulb temperature, saturated water-vapor pressure is 20 kPa and relative humidity 20%. Atmospheric pressure is 101.325 kPa. Molecular…
- Question 47 – Milk can be pasteurized at 91°C for 3 s or at 73°C for 30 s to give the same sterilization value 10. Find the nearest thermal-death-time temperature…
- Question 48 – Banana mass fractions of carbohydrate, protein, fat, ash and water are .220,.010,.005,.015,.750. Their respective densities are 1550,1220,900,610,1000…
- Question 49 – Adjacent parallelogram sides are A=2 i+3 j- k and B=5 i-4 k. Find the area magnitude, to two decimals.
- Question 50 – Use Newton–Raphson for e-x-x=0 with initial guess x 0=2. Find the first iterate x 1,to two decimals.
- Question 51 – A four-cylinder four-stroke engine has 100 mm bore,120 mm stroke,1800 rpm mean speed and 0.9 MPa IMEP. Energy fluctuation/indicated work per…
- Question 52 – A 2WD tractor develops 30 kN gross traction with rear rolling radius .73 m. Each rear wheel has a planetary final drive:sun input with 26 teeth, fixed…
- Question 53 – A tractor boom sprayer has 12 flat-fan nozzles of angle 110°. Adjacent footprints must overlap by 30% of a single footprint. Boom height is .60 m,…
- Question 54 – A stationary Ackerman-steer tractor carries 12 kN on each front wheel, nominal tire width b=.28 m. Assume uniform pressure over a circular print of…
- Question 55 – An 8×20 cm seed drill has a .60 m diameter ground wheel. A hard-surface calibration delivers 814 g of seed in 30 wheel revolutions. In soft soil,…
- Question 56 – A tractor PTO shaft drives a grain auger through spur-gear reduction;the auger rotates at 540 rpm. The PTO driving gear has pitch diameter .18 m and…
- Question 57 – A homogeneous earthen embankment retains water 12 m deep. Crest width is 3 m, upstream/downstream slopes are 2H:1V and 2.5H:1V, and freeboard is 2 m.…
- Question 58 – A .80\,km2 watershed has slope .30% and maximum travel length 1 km. Ten-year rainfall depths at durations 5,10,20,30,40,60 minutes are…
- Question 59 – Meteorologically similar catchments M and N have (L,L ca,A) equal to (36\,km,18\,km,250\,km2) and (50,30,400) respectively. M’s six-hour unit…
- Question 60 – Rectangular channels A and B join into rectangular channel C. All have the same lining material, bottom slope and flow depth 2 m. Bottom widths of A…
- Question 61 – A well fully penetrates a 30 m thick confined aquifer and pumps steadily at .06\,m3/s. Drawdowns are 3.6 m and 2.0 m at radii 60 m and 120 m. If…
- Question 62 – Bench terraces are planned on a 15% hill slope. Vertical interval is 2.5 m, riser slope is 1H:1V, and cut equals fill. Find earthwork volume in…
- Question 63 – A soil core cylinder has internal diameter 60 mm and length 100 mm. Moist soil mass is .48 kg and oven-dry soil mass .44 kg. Water density is…
- Question 64 – A crop has four 25-day stages:initial, grand growth, mid-season and late-season. Its crop coefficient rises linearly from .4 in the initial stage to…
- Question 65 – Water penetration depths at 16 equally spaced border-strip stations, in mm, are .65,.83,.79,.87,.67,.85,.86,.68,.88,.77,.73,.59,.89,.63,.72,.70. Find…