GATE 2025 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2025 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Ravi had younger brother who taught at university. He was widely regarded as honorable man. Choose the correct articles.
- Question 2 – The CEO’s workforce reduction was considered myopic because it sacrificed long-term stability for short-term gains. Choose a replacement for “myopic”…
- Question 3 – A class average was 30.8, with one mark incorrectly entered as 24 instead of 42. Correcting it raises the average to 31.4. How many students are…
- Question 4 – P is Q’s brother; S is Q’s daughter; T is S’s sister; R is Q’s mother. Statements: (1) R is S’s grandmother; (2) P is uncle to S and T; (3) R has only…
- Question 5 – According to the representative campus map, which statement is correct?
- Question 6 – G.K. Chesterton, in “A Piece of Chalk”, describes putting brown paper and chalks in his pocket. He reflects that pocket objects are primeval and…
- Question 7 – In the representative diagram QR ∥ ST. Their perpendicular separation is half the distance from P to QR. Find area(PST)/area(SQRT).
- Question 8 – A fair six-sided die is rolled three times. Find probability of exactly one 6.
- Question 9 – The square paper is folded along dotted lines as in I–III, then cut as in IV. Which pattern results on unfolding?
- Question 10 – A shop has four distinct ice-cream flavors. Any number of scoops per flavor is allowed and purchase order is irrelevant. How many purchases contain…
- Question 11 – If a, b, c are the roots of 2x3-3x2+px-1=0 and two roots sum to 1,find p.
- Question 12 – If pmatrixx&-3\\2&x-5pmatrix is singular, find the sum of possible x values.
- Question 13 – s/(s2+a2) is the Laplace transform of which function of t?
- Question 14 – Classify y+p(x)y+q(x)y=r(x).
- Question 15 – Find the median of 154,130,144,137,156,146,138,149,160,138.
- Question 16 – Which method is used for geophysical exploration of groundwater?
- Question 17 – Identify the correct statement about tape corrections in chain surveying.
- Question 18 – A cylindrical potato sample has diameter 1.0 cm and length 5.0 cm. Its sphericity is closest to
- Question 19 – What is the refrigerant condition at the compressor exit in a vapor-compression refrigeration system?
- Question 20 – A four-row fluted-roller seed drill has row spacing 25 cm, speed 2.5 km/h and desired mustard seed rate 5.0 kg/ha. Seed bulk density is 800\,kg/m3.…
- Question 21 – Tripling RMS sound pressure increases the sound-pressure level by approximately how many dB?
- Question 22 – For small tractor rotation radians about its CG, and longitudinal seat-to-CG distance R, the seat-base vertical motion R results from which motion?
- Question 23 – In rice milling, the rubber-roll sheller is used for
- Question 24 – Which generally result from blanching fresh fruits and vegetables? Select all that apply.
- Question 25 – Which are adverse effects of soil salinity or alkalinity or both? Select all that apply.
- Question 26 – Match P Isopleth, Q Isobath, R Isohyet, S Isochrone, T Isobar with 1 Rainfall,2 Pressure,3 Evapotranspiration,4 Groundwater,5 Surface runoff.
- Question 27 – Which statements about sprinkler irrigation are correct? Select all that apply.
- Question 28 – Which methods evaluate fuel volatility for spark-ignition engines? Select all that apply.
- Question 29 – A 2WD tractor has nominal rear-wheel radius .5 m. Rolling radius is 6% smaller. In 20 wheel revolutions the actual travel is 56 m. Find wheel slip in…
- Question 30 – Front steering-pivot points are 1.2 m apart. During a turn on flat concrete, the inner and outer front-wheel steering angles are 50° and 35°. Find the…
- Question 31 – An unconfined aquifer with hydraulic conductivity 12 m/day covers 1 ha. Pumping releases 6000 m³ and lowers its water table from 3 m to 7 m below…
- Question 32 – Apple slices dry in the falling-rate period from 65% to 10% dry-basis moisture. Equilibrium moisture is 2% dry basis and drying constant is…
- Question 33 – How much water must be added to 50 kg paddy to raise moisture from 13% to 35% dry basis during hydrothermal treatment? Report kg, to two decimals.
- Question 34 – A ball mill has mill diameter 3600 mm and ball diameter 160 mm. Find critical speed in integer rpm, using g=9.81\,m/s2 and =3.14.
- Question 35 – Three identical metal wires AC, BC, CD have equal length, diameter and thermal conductivity. Heat flows from A and B to C and from C to D. A and B are…
- Question 36 – Find the sum n=0r qn=1+q+q2++qr.
- Question 37 – Evaluate x0(x x- x)/(x2 x).
- Question 38 – For u=x4+y4+3x2y2,find (x u x+y u y)-1.
- Question 39 – Steady flow in a confined aquifer occurs when
- Question 40 – A lysimeter is used to measure which processes? Select all that apply.
- Question 41 – Which are NOT correct assumptions for deriving Plank’s food-freezing-time equation? Select all that apply.
- Question 42 – Match 1 Sensible cooling,2 Cooling and dehumidification,3 Chemical dehumidification,4 Heating and humidification with P Dry-bulb increases/dew-point…
- Question 43 – Solve dy/dx=3y+2ex with y(0)=0 and find y at x=.3,to three decimals.
- Question 44 – A south-facing flat-plate solar collector at Bhopal (23°15′N,77°42′E) is tilted 30° from horizontal. On June 30,2023 at 3 PM local apparent time, the…
- Question 45 – A six-stage centrifugal pump delivers 150 L/s against a net pressure rise of 5003 kN/m² at 1450 rpm. Use g=9.81\,m/s2. Find pump specific speed as an…
- Question 46 – A 90° V-notch has discharge coefficient .6 and water head .49 m. For g=9.81\,m/s2,find discharge in m³/s, to two decimals.
- Question 47 – An undisturbed soil sample has volume 100 cm³ and void ratio .60. Oven drying reduces mass from 185 g to 165 g without shrinkage. Soil specific…
- Question 48 – A 10 ha watershed receives 15 mm rainfall with 5 mm evapotranspiration,4.5 mm infiltration,2.2 mm deep percolation,.5 mm detention storage and .3 mm…
- Question 49 – Windbreaks 2.7 m high protect a wheat field. Wind perpendicular to the barrier is 9 m/s at 15 m height; the minimum 15 m wind speed that moves the…
- Question 50 – A stable drop structure has base length 5.7 m. Downward vertical forces excluding uplift total 92.5 kN; uplift totals 72.5 kN. The sum of moments of…
- Question 51 – An 8 ha watershed receives successive half-hour rainfall intensities 2.5,3.6,5.4,3.3,2.6,1.2 cm/hour. Surface runoff is 4800 m³. Neglect initial…
- Question 52 – A four-stroke diesel engine has 6.0 L displacement,2300 rpm,75% mechanical efficiency and 800 kPa indicated mean effective pressure. Brake-specific…
- Question 53 – An engine has torque at maximum power T maxP=125 N·m, speed at maximum power N maxP=2400 rpm, high-idle speed N HI=2600 rpm, maximum torque 160 N·m…
- Question 54 – An engine at 1200 rpm drives a rigid 1.2 m diameter wheel at 5 km/hour without slip or deformation. Gear reductions are 3:1 in the gearbox,4:1 in the…
- Question 55 – A uniform solid round shaft transmits 25 kW at 540 rpm. Allowable shear stress is 35 MPa and maximum torque is 20% above mean torque. Neglect bending.…
- Question 56 – A 4WD tractor has equal front and rear tread 1.25 m and CG height .85 m. It overturns while turning at 18 km/hour. Neglect tire-friction limitations…
- Question 57 – A horizontal-axis wind turbine has 24 m rotor diameter, wind speed 6 m/s, air density 1.23\,kg/m3,power coefficient .3,transmission efficiency .9 and…
- Question 58 – A mouldboard plough is operated with 6.0 kN pull. Lateral/longitudinal and vertical/longitudinal soil-force ratios are .30 and .50. Driving-wheel…
- Question 59 – For a right-hand offset disc harrow, the front and rear gang centers are 2.5 and 4.5 m longitudinally from the hitch. Their longitudinal soil forces…
- Question 60 – A mill grinds locust beans from mean diameter 7 mm to .62 mm at 10 ton/hour, using 6.7 kW. At the same throughput, find power to grind to .25 mm using…
- Question 61 – An N 2–He mixture in a pipe is at 1 atm and 298 K. Nitrogen partial pressures at points .22 m apart are 60.80 and 20.31 kPa. The diffusivity is…
- Question 62 – A countercurrent concentric heat exchanger receives milk at 25°C and water at 82.5°C. Water flow is 1.2 kg/s. Inner-pipe diameter is 60 mm, length 6…
- Question 63 – Cans contain .5 kg peas each and are processed at 121°C. One group starts with 5×10¹⁰ Clostridium spores/can;another with Bacillus spores. Desired…
- Question 64 – Apple juice of viscosity 1.6 cP is filtered at constant pressure through 2 m². Solids concentration per filtrate volume is .04 g/mL, pressure drop…
- Question 65 – A concrete silo of internal diameter 6 m and height 24 m holds rough rice of bulk density 635 kg/m³. Wall-friction angle is 30° and lateral/vertical…