GATE 2021 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2021 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – The people were at the demonstration were from all sections of society.
- Question 2 – A transparent square sheet is folded along the dotted vertical line as shown. Which figure shows the folded sheet?
- Question 3 – Find the interior angle of a regular10-sided polygon in degrees.
- Question 4 – Which number is exactly divisible by 1113+1?
- Question 5 – Oasis is to sand as island is to .
- Question 6 – Sleep is often overlooked by students preparing for exams. Research shows sleep deprivation greatly reduces recall; cutting sleep to study longer can…
- Question 7 – Each inner square joins the midpoints of the next larger square. The outer square has side10 cm. Find the smallest shaded square area in cm².
- Question 8 – Temperature X is continuous on[0,100]°C with density f(x)=.01 for 0≤x≤100. Find its mean.
- Question 9 – The chart shows annual passes and failures. Passing students cannot retake; first-time failures must retake next year and always pass their second…
- Question 10 – Seven cars P, Q, R, S, T, U, V park in one row. T and U are adjacent;S and V are adjacent;P and Q are not adjacent;Q and S are not adjacent;R is…
- Question 11 – For differentiable v=v 1 i+v 2 j+v 3 k, choose the Cartesian expression for curl v.
- Question 12 – For integer x>1, evaluate x[1/x2+2/x2++(x-1)/x2+1/x].
- Question 13 – In the Society of Automotive Engineers tyre-axis convention, the moment about the z-axis is called .
- Question 14 – Pitting during pulse processing is .
- Question 15 – During ploughing with a tractor-mounted mouldboard plough, the three-point-hitch mast should be .
- Question 16 – Hydrologic reservoir-routing methods use .
- Question 17 – In assessing agricultural drought, a negative aridity-index value classifies the area as .
- Question 18 – Approximately, how does sediment delivery ratio SDR vary with drainage area A?
- Question 19 – For one-dimensional radial conduction,r-n r(krn rT)+E= C p tT. What is n for a sphere?
- Question 20 – The fishy flavour defect of butter is associated with decomposition of .
- Question 21 – A drip system has application efficiency90%,minimum/maximum/average emitter flows45/65/50 L/h, manufacturer variation coefficient .07,and one emitter…
- Question 22 – Find the trace of pmatrix3&2&1&4\\5&7&8&1\\2&4&6&7\\9&6&4&2pmatrix as an integer.
- Question 23 – P(A)=.35,P(B)=.25,and A, B are mutually exclusive. Find P(A A∪B),to three decimals.
- Question 24 – An SI engine has stoichiometric air–fuel ratio 14.7:1 and stated equivalence ratio λ=.92. Find actual air–fuel ratio, to two decimals.
- Question 25 – A self-propelled vertical-conveyor paddy reaper has 60 cm cutter width. Cutting power300 W, propelling power350 W, and crop-conveying power50% of…
- Question 26 – A gear pump displaces120 cm³/rev at 1500 rpm against18 MPa. Torque efficiency90%. Find actual driving torque in N m, to two decimals. Use π=3.14.
- Question 27 – Useful soil-reaction forces on a tractor-drawn mouldboard plough are2.0,.9,.6 kN longitudinal, transverse, vertical. Soil–metal friction angle25°.…
- Question 28 – A naturally deposited cohesionless infinite soil slope is 25°. Internal-friction angle30°. Find factor of safety, to two decimals.
- Question 29 – A pump supplies80 L/s for 10 h to 2 ha. Root-zone depth 50 cm;gravimetric moisture rises18%→30%;soil bulk density1500 kg/m³. Find water-application…
- Question 30 – A 300 mm well penetrates25 m below the static water table and pumps5400 L/min for 24 h. Observation drawdowns are1.11 m at 30 m and .53 m at 90 m.…
- Question 31 – Saturated soil extract contains Mg²⁺5.68,Na⁺9.90,HCO₃⁻11.20 meq/L. HCO₃⁻/Ca²⁺=2.8. Find sodium adsorption ratio, to two decimals.
- Question 32 – Fresh potatoes1000 kg are dried from 14% to 93% total solids. Peeling loses7% of original potatoes. Find dried product yield from fresh potatoes in…
- Question 33 – A chimney draught is 12 mm water column. Water density1000 kg/m³. Find outside-air minus chimney-base pressure in Pa, to one decimal.
- Question 34 – A 200 cm diameter ball mill uses10 cm balls for dry grinding, then20 cm balls for wet grinding. Find change in operating speed in rpm, to two…
- Question 35 – A Rushton turbine has 20 cm impeller diameter and 200 rpm stirrer speed. Air flow into the tank is .2 m³/min. Find the dimensionless Froude number, to…
- Question 36 – Solve y+y+.25y=0,y(0)=3,y(0)=-3.5.
- Question 37 – An annular soil-shear device has inner/outer diameters240/300 mm. Soil failure torque50 N m. Find soil shear strength in kPa. Use π=3.14.
- Question 38 – A 6 mm diameter bushy-crop stem is cut by impact50 mm above soil. Young modulus1500 N/mm²,ultimate tensile strength35 N/mm². Based on the entire…
- Question 39 – A solar panel is 1.3×.65 m;cells cover90%,conversion efficiency13.7%,irradiance750 W/m². At maximum power, voltage18 V. Two identical panels in series…
- Question 40 – A fertilizer drill has row spacing40 cm and meters38 g per row per metering-wheel revolution. Ground wheel diameter 60 cm. For200 kg/ha and no skid,…
- Question 41 – A wet sandy-clay loam sample has mass135 kg, wet density1.8 g/cm³,gravimetric water18%,and solids specific gravity2.7. Find dry density(g/cm³) and…
- Question 42 – Bench terraces are planned on10% land slope, vertical interval2.5 m, batter slope100%. Find working width(m) and cultivated-area loss(%).
- Question 43 – A closed traverse ABCDA′ has observed departures and latitudes as shown. A′ differs from start A. Find closing error in m.
- Question 44 – A catchment IUH is an isosceles triangle with peak60 m³/s at 3 h. Constant baseflow7.5 m³/s. Find the peak of its3-hour unit hydrograph in m³/s.
- Question 45 – Match mechanisms P shear/compression;Q friction/abrasion;R shear/compression/friction;S impact/abrasion/friction, to 1 blade-type emery scourer,2…
- Question 46 – Match P pipe-in-pipe;Q shell-and-tube;R1–2 shell-and-tube;S crossflow exchanger, to 1 air cooling,2 simultaneous co-/counter-current exchange,3 large…
- Question 47 – A 30 µm membrane of area 3 m² removes NaCl at steady state. Film coefficients are1×10⁻⁶ and 3×10⁻⁷ m/s;membrane permeability9×10⁻⁶ m/s. Feed…
- Question 48 – A crusher processes2 tonne/h using7.2 kW. Feed/product80%-passing sizes are4.75 and .5 mm. Find Bond work index.
- Question 49 – A 9-person committee has 4 B.Tech,3 M.Tech,2 PhD students. Remove3 uniformly at random. Find probability exactly2 share a category and the third is…
- Question 50 – Find sum of eigenvalues of pmatrix4&1\\3&6pmatrix,rounded to an integer.
- Question 51 – A 20 kN two-wheel-drive tractor works in pure sandy soil, internal friction26.5°. Front/rear loads are35%/65%. Add2.5 kN to each rear wheel. Find…
- Question 52 – A PTO rotavator has 30 cm rotor radius,20 L-blades of 12 cm width, attached at 7 cm radial distance. Forward speed 4.5 km/h, depth 12 cm. A 150 N…
- Question 53 – Tractor total hourly cost is Rs.540 at 800 h/year and Rs.510 at 1000 h/year. Annual fixed cost and hourly variable cost stay unchanged. Find variable…
- Question 54 – Two involute gears transmit1 kW at 20° pressure angle. Larger gear pitch diameter 20 cm and speed 600 rpm;one tooth pair carries load at a time. Find…
- Question 55 – A 4 m horizontal-axis lift wind rotor runs a pump in 15 km/h wind, air density1.23 kg/m³. Far-wake velocity is one-third approach velocity. Find rotor…
- Question 56 – A watershed receives90 mm rain. Initial abstraction=.25S. Forest retention S=136 mm changes to 64 mm after cultivation. Find percent change in daily…
- Question 57 – An economical trapezoidal channel has side slope1H:1V, full depth .40 m, slope1:2500,Manning n=.01. Find discharge in m³/s, to two decimals.
- Question 58 – A windbreak is 15 m high and 200 m long. Threshold wind speed at 15 m height is 9.6 m/s;5-year design wind16 m/s, deviating20° from normal to the…
- Question 59 – A rectangular tank orifice is 1.5 m wide and 1.2 m high. Water level is 3.5 m above its top. Cd=.62,g=9.81 m/s². Find discharge in m³/s, to two…
- Question 60 – Fully penetrating wells1.4 km apart in a homogeneous confined aquifer differ4 m in piezometric head. Flow is steady and unidirectional, K=3.5 m/day,…
- Question 61 – For C. botulinum, reference process F₀=150 s and z=10°C. Can cold-spot temperatures are71.1°C during0–20 min,98.9°C during20–40 min, and 110°C…
- Question 62 – Air at 40°C, total pressure101.3 kPa, contains water vapour at 4.0 kPa. Saturation vapour pressure at 40°C is 7.37 kPa. Molecular masses…
- Question 63 – A 4 m diameter,16 m high paddy bin has grain bulk density640 kg/m³,grain–wall friction angle30° and horizontal/vertical pressure ratio .4. By what…
- Question 64 – A 1 tonne/h two-screen air cleaner takes grain with 8.5% impurities. Clean-grain loss in blower, first-screen overflow, second-screen underflow is…
- Question 65 – A .10 m food block is heated on one side with film coefficient70 W/(m²°C),cooled on the other with 100 W/(m²°C). Conductivity .2 W/(m°C),area 1…