GATE 2024 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2024 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Increasing intensity dry → arid → parched is analogous to diet → fast → .
- Question 2 – Distinct nonzero real variables x, y satisfy (x+y)(x-y). What can be said about x/y?
- Question 3 – Find the median of 9,18,11,14,15,17,10,69,11,13.
- Question 4 – Counts of ₹1,₹5 and ₹10 coins are in ratio 5:3:13. What percentage of the total money is in ₹5 coins?
- Question 5 – For positive p, q,(p2+q2)= p+ q+23. Find (p4+q4)/(p2q2).
- Question 6 – Fill i–iv: Steve was advised to keep his head (i) before heading (ii) to bat;for, while he had a head (iii) batting, he could only do so with a cool…
- Question 7 – A 54 cm×4 cm paper is rolled by joining its two longer edges. A cube has surface area equal to the paper area. Find cylinder-volume/cube-volume ratio.
- Question 8 – A 2000 kcal diet gets35% energy from carbohydrates,20% protein,20% unsaturated fat,20% saturated fat and 5% trans fat, as in the chart.…
- Question 9 – A 20 cm×8 cm paper is folded three times, each time along the symmetry line perpendicular to the current longer edge. Find final perimeter in cm.
- Question 10 – What is the least number of squares to add to the figure so AB is a line of symmetry?
- Question 11 – Find the divergence of the curl of a twice continuously differentiable vector function.
- Question 12 – Find the Laplace transform of f(t)=t4.
- Question 13 – Front-axle dynamic load is below 20% of total tractor weight. Which measure avoids longitudinal instability?
- Question 14 – Which fuel property is most important for running an IC engine in severe cold among these choices?
- Question 15 – A towed rigid wheel of total weight W rolls on a hard horizontal surface and uphill on a hard plane inclined θ. Compared with the horizontal case, the…
- Question 16 – The time difference between advance and recession curves at a point during surface irrigation is called
- Question 17 – Match P Current meter, Q Anemometer, R Hygrometer, S Symon’s gauge, T Pyranometer with 1 Solar radiation,2 Rainfall,3 Stream velocity,4 Humidity,5…
- Question 18 – Which process transports the largest portion of soil in typical wind erosion?
- Question 19 – Which bench terraces suit hilly regions with heavy rain where a major fraction must be safely drained as runoff?
- Question 20 – For cylindrical pipe insulation with conductivity k and outer convection coefficient h o,find the critical insulation radius r cr.
- Question 21 – A continuously differentiable function y=f(x) satisfies which listed conditions at a point of inflection? Select all that apply.
- Question 22 – Which measure in-situ volumetric soil moisture? Select all that apply.
- Question 23 – Which statements about hydrothermal treatment of paddy are incorrect?
- Question 24 – Which mechanisms explain the falling-rate drying period? Select all that apply.
- Question 25 – A dataset has mean16 and variance25. Find coefficient of variation in percent, to two decimals.
- Question 26 – Threshers P, Q, R pass an endurance test with probabilities1/6,1/4,1/2. Find probability at least one passes, as a fraction rounded to two decimals.
- Question 27 – Adult male heights at 5th,50th,95th percentiles are162,173,185 cm. Find minimum tractor-cab internal height for satisfactory clearance based on these…
- Question 28 – A chain drive reduces a solar thresher motor from 240 rpm to 120 rpm. Driver has 20 teeth;driven sprocket pitch-circle diameter is 600 mm. Find chain…
- Question 29 – A rotavator has rotor radius300 mm, six flanges and three blades per flange acting in one plane. Initially rotor speed 180 rpm and forward speed 3…
- Question 30 – An Otto cycle has air-standard efficiency56% and heat input12.5 kJ. Find rejected heat in kJ, to two decimals.
- Question 31 – An area of 6% slope has its slope length halved with all other factors unchanged. Find the percentage reduction in annual soil loss, to two decimals.
- Question 32 – A 16.95 km² watershed drains at average rate 2.8 m³/s. Find its drainage coefficient in cm, to two decimals.
- Question 33 – Freeze100 kg shrimp from 25°C to−18°C. Freezing point is 0°C;specific heats above/below it are3.64 and 2.01 kJ/(kg·°C),and latent heat is 240 kJ/kg.…
- Question 34 – A rice grader receives feed containing18% broken kernels. The head-rice stream contains 3% brokens, and the broken stream contains 4% head rice. Find…
- Question 35 – A single-effect evaporator concentrates9090 kg/hour herbal extract from 12% to 20% solids. Feed enters at 300 K and product loss with vapor is…
- Question 36 – Given P=pmatrix2&3&7\\4&1&5pmatrix and Q=pmatrix8&11&9\\12&6&13pmatrix,find PTQ.
- Question 37 – Solve y+2y-3y=0 with y(0)=0,y(0)=8.
- Question 38 – A power chaff cutter has effective throat width450 mm, clearance150 mm, four knives, cutter speed 540 rpm and theoretical cut length10 mm. Straw at…
- Question 39 – A 4.2 m combine travels3.5 km/hour at 75% field efficiency and harvests300 ha/year. Variable cost scales linearly with actual operating hours. What…
- Question 40 – A three-cylinder, four-stroke diesel engine has bore73 mm, stroke78 mm, speed 2200 rpm, brake torque55 N·m and indicated mean effective pressure1050…
- Question 41 – Border-irrigation stored depths at 12 locations are50,49,48,47,46,45,44,43,42,41,40,39 mm. Find Christiansen uniformity coefficient in percent.
- Question 42 – A 10 ha watershed receives hourly intensities2,1,1.5,1 cm/hour over four hours. With φ-index1 cm/hour, find direct runoff volume in m³.
- Question 43 – Leveling starts at RL53.85 m. A second benchmark has known RL85.45 m and is read as intermediate sight2.42 m. Cumulative backsights are50.28 m and…
- Question 44 – Thermophilic spores in milk have D₁₂₁=60 seconds and z=11°C. Find time at 141°C for a 10-log population reduction, in seconds.
- Question 45 – Match P Bingham plastic, Q Dilatant, R Pseudoplastic, S Newtonian with 1 Viscosity increases with shear rate,2 Finite yield stress,3 Shear rate…
- Question 46 – Match mills P Attrition, Q Ball, R Hammer, S Roller with mechanisms1 Compression/shear,2 Impact/abrasion,3 Crushing/shear,4 Impact/shear.
- Question 47 – Approximate e2x at x=1/2 using the first four Taylor terms about 0. Report to three decimals.
- Question 48 – Find the directional derivative of u=x2y+y2z at(1,2,3) in direction i+2 j+3 k,to two decimals.
- Question 49 – A single-acting disc harrow has five discs per gang and gang angle20°. At3 km/hour and 10 cm depth, the horizontal soil reaction parallel to each disc…
- Question 50 – A rotary mower has 1.2 m swath at 5 km/hour. Friction losses are1.5 kW per metre swath and cutting energy2 kJ/m². Tractor plus mower weighs25 kN and…
- Question 51 – A 1.5 kW diesel engine runs continuously for two hours in dual-fuel biogas/diesel mode. Biogas requirement is .67 m³/(kW·hour). A KVIC plant has gas…
- Question 52 – An accelerometer at a seated tractor operator’s waist records RMS acceleration2.5 m/s². Improved seating reduces acceleration level5 dB. Find new RMS…
- Question 53 – A 2WD tractor weighs20 kN and travels at actual3 km/hour with 12% slip. Front/rear dynamic loads are40%/60%. Net traction coefficient is .42. Axle…
- Question 54 – A boom sprayer has 12 nozzles at 50 cm spacing, speed 3.5 km/hour, initial nozzle pressure250 kPa and application rate 1.5 m³/ha. Pump flow…
- Question 55 – A rectangular channel carries2 m³/s at 1 m/s. Depth is half the width. Manning n=.02. Find bed slope in percent, to two decimals.
- Question 56 – Five rain gauges record annual rainfall90,100,80,120,110 cm. For5% permissible error in the mean, find the number of additional stations as an…
- Question 57 – A constant-head permeability sample is 70 mm in diameter and 100 mm long. Head loss is 80 mm and 60 mL water is collected in one minute. Find…
- Question 58 – A 15 cm diameter tubewell has initial groundwater depth 40 m above screen bottom, K=20 m/day, influence radius980 m and maximum drawdown12 m. A second…
- Question 59 – Contour bunds on a 3% slope in a semiarid region are spaced30 m horizontally. The10-year daily maximum effective rainfall is 20 cm. Find design…
- Question 60 – A single-acting reciprocating pump at 40 rpm has piston diameter 20 cm and stroke40 cm. Suction/delivery heads are5/20 m and overall efficiency80%.…
- Question 61 – A steam-jacketed kettle holds250 kg liquid food with specific heat3.1 kJ/(kg·K). Steam is 121°C, heat-transfer coefficient2 kW/(m²·K),area .15 m².…
- Question 62 – Countercurrent juice pasteurization uses juice flow .3 kg/s, cp3.8 kJ/(kg·K),inlet30°C. Water flow is .4 kg/s, cp4.2 kJ/(kg·K),inlet97°C, outlet65°C.…
- Question 63 – Mango pulp initially 25°C and 70% wet-basis moisture is dried to 10% wet basis using95°C air. Water latent heat at 95°C is 2250 kJ/kg and pulp cp3.8…
- Question 64 – Sorghum-flour sieve analysis gives IS sieve numbers100,70,50,40,30,20,PAN with retained masses0,10.1,16.5,36.2,82.8,95.0,9.4 g. Find empirical mean…
- Question 65 – Fish fillets at−1°C are frozen in IQF air at−40°C. Characteristic dimension10 cm, density1200 kg/m³,printed conductivity2.5 W/(m²·K),convection…