GATE 2022 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2022 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Inhaling the smoke from a burning could you quickly.
- Question 2 – A sphere of radius r cm is packed in a cubical box. What is the minimum box volume in cm³?
- Question 3 – P and Q fill a tank in 10 and 6 minutes respectively. R drains 34 litres/min. All operate at constant rates. With all three operating, a full tank…
- Question 4 – Six persons P, Q, R, S, T, U sit around a circular table facing the center. P sits next to S and T; Q is diametrically opposite P; the shortest S–R…
- Question 5 – The top view shows a building with several rooms and initially closed doors. Find the minimum number of doors that must be opened to travel from P to…
- Question 6 – Rice, a versatile and inexpensive carbohydrate source, is a critical dietary component worldwide. Climate change and extreme weather threaten its…
- Question 7 – Each shown disk has eight equally likely outcomes 1–8. Two arrows are spun independently. Find the probability that the resulting numbers sum to 8.
- Question 8 – Given 3p-q<4 and 3q-p<12, which expression follows?
- Question 9 – Statements: some engineers are writers; no writer is an actor; all actors are engineers. Conclusions: I some writers are engineers; II all engineers…
- Question 10 – Which set of pieces shown can form a square with a single round hole near its center, without overlapping?
- Question 11 – The determinant of a matrix remains unaltered if .
- Question 12 – Find the probability of 53 Sundays in a randomly selected leap year.
- Question 13 – Which expression is the Maclaurin expansion of f(x), assuming the series converges to the function?
- Question 14 – The lowest temperature at which fuel ceases to flow is called .
- Question 15 – The complement of the solar altitude angle is .
- Question 16 – A combine has annual fixed cost Rs. 300000 and operating cost Rs. 6000/ha. Which combination of annual use (ha) and custom rate (Rs./ha) gives…
- Question 17 – In constructing gravel-packed wells, the pack–aquifer ratio is generally defined as which size ratio?
- Question 18 – The shape of the falling limb of a hydrograph depends on .
- Question 19 – Size-reduction energy obeys dE/dX=-C/Xn. What is n in Rittinger’s law?
- Question 20 – The ratio of inertial forces to viscous forces is called .
- Question 21 – For x-4x+1=0, use Newton–Raphson once from x 0=.2. Give the next estimate to three decimals.
- Question 22 – Find the slope of f(x)=2x4-3x2+5x at x=2. Give an integer.
- Question 23 – A single-cylinder four-stroke diesel engine displaces 9 L, runs at 2400 rpm and has volumetric efficiency 88%. Find actual inducted air volume in…
- Question 24 – A two-wheel-drive tractor has drive-wheel rolling radius 860 mm, engine-to-wheel speed ratio 98:1, transmission efficiency 86% and engine torque 520 N…
- Question 25 – A double-acting hydraulic cylinder has bore 76 mm and rod diameter 25 mm. Pump flow is 40 L/min during either stroke. Find retraction velocity in m/s,…
- Question 26 – An open V-belt joins effective pulley diameters .25 m and .65 m at 1 m centre distance. Find the smaller pulley wrap angle in degrees, to two…
- Question 27 – A fully penetrating 300 mm diameter well pumps 1200 m³/day from a confined aquifer with transmissivity 1000 m²/day. Radius of influence is 400 m. Find…
- Question 28 – A 200 L/s stream diverted from a canal irrigates wheat for 8 hours. Conveyance efficiency is 75% and field runoff is 500 m³. Find application…
- Question 29 – A wide rectangular earth channel carries 20 m³/s per metre width. Find critical depth in m, to two decimals. Use g=9.81 m/s².
- Question 30 – In the USLE slope-length relation, the stated exponent is .5 (the source calls this the soil-loss ratio). Slope length from the divide is 600 m,…
- Question 31 – A rectangular field measures 542 m by 554 m using a nominal 30 m chain later found 5 cm short. Find true area in hectares, to two decimals.
- Question 32 – A forward-feed triple-effect evaporator takes pineapple juice at 6.3 kg/s and produces 50% concentrate. Steam input is 2.48 kg/s at 121.1°C. Vapour…
- Question 33 – An osmo-dehydrated fruit slice has 72% moisture on wet basis. Find moisture on dry basis in percent, to one decimal.
- Question 34 – Potato solids have specific heat 837.36 J/(kg K). Find the specific heat of potatoes containing 85% moisture on wet basis, in J/(kg K), to two…
- Question 35 – Milk contains 4×10⁵ C. botulinum spores/mL (D=1.2 min at 121.1°C) and 7×10⁶ L. monocytogenes spores/mL (D=.9 min at 121.1°C). At uniform121.1°C, find…
- Question 36 – Which statement describes (x-2)2(x+2)2?
- Question 37 – For what listed values of x is pmatrix3-x&2&2\\2&4-x&1\\-2&-4&-1-xpmatrix singular?
- Question 38 – A 5×20 cm seed drill has ground-wheel diameter .5 m. Laboratory calibration gives 320 g in 20 revolutions. Actual sowing uses185 kg in 2 ha. Find the…
- Question 39 – A 3.6 m combine harvests a 20 m strip. Walker material8.5 kg contains 100 g free and 50 g unthreshed grain; shoe material5.5 kg contains 250 g free…
- Question 40 – Ideal gas is compressed adiabatically with γ=1.4 from 98 to 480 kPa. Initial specific volume is .45 m³/kg. Find work done on gas in kJ/kg.
- Question 41 – Clay is 90% saturated, with void ratio .8 and specific gravity2.7. Find bulk unit weight in N/m³. Water unit weight is 9810 N/m³.
- Question 42 – Design a parabolic grass waterway for 2.85 m³/s on3% slope. Permissible velocity1.78 m/s and Manning n=.04. Excluding freeboard, select top width and…
- Question 43 – A pipe constricts from .1 m to .05 m diameter. Pressure falls7.5 kPa. For ideal horizontal flow of density1000 kg/m³, find velocity in the .1 m…
- Question 44 – Potato water activity is .942. Using Raoult’s law, which solution is most efficient for osmotic dehydration? Molar masses: sucrose342 g/mol, NaCl58.5…
- Question 45 – Mass fraction on sieve i is x i, and D pi is the average opening of sieves i and i−1. Find volume–surface mean diameter over n fractions.
- Question 46 – Match I vitamin E; II calcium salts; III edible waxes; IV methyl bromide to P insect-killing fumigant; Q reduces shrinkage losses; R antioxidant with…
- Question 47 – A particle moves in F=6x2 i+(3xz+y) j+4z k along a straight line from(0,0,0) to(1,2,3). Find work as an integer.
- Question 48 – Instrument power (W) at times0,.6,1.2,1.8,2.4,3.0,3.6 s is 8.6,9.2,7.8,6.4,7.2,8.6,11.2. Use Simpson’s1/3 rule to find energy in J, to two decimals.
- Question 49 – Tractor vibration has RMS acceleration3.15 m/s² and frequency80 Hz. Find RMS displacement amplitude in µm, to two decimals. Use π=3.14.
- Question 50 – A two-wheel-drive tractor has static axle weights3 kN front and 9 kN rear, wheelbase2.1 m and pull7.5 kN. Perpendicular distance from the front…
- Question 51 – An engine crank radius is 250 mm and connecting rod length1000 mm. At100° from head dead centre, net piston force along motion is 35 kN. Find crank…
- Question 52 – An engine delivers42 kW brake power at 24% brake thermal efficiency using fuel of heating value46.15 MJ/kg and density .845 kg/L. Source calls it B20…
- Question 53 – A 12×60 cm tractor boom sprayer overlaps successive passes by 30 cm at 4.2 km/hour. Turning losses are7.5 min/ha. Assume no overlap between adjacent…
- Question 54 – A flange has one10 mm diameter mild-steel pin in single shear, ultimate shear strength42 MPa. Pin axis is 100 mm from shaft axis; shaft runs300 rpm.…
- Question 55 – Twelve100 m lateral drains are spaced50 m and connected to a collector. Water table falls50 cm in 4 days while mean collector discharge is 12 L/s.…
- Question 56 – Rainfall is 152.4 mm. Land uses: residential40%, soil C, CN83; good open space25%, soil D, CN80; commercial20%, soil C, CN94; industrial15%, soil D,…
- Question 57 – A trapezoidal weir has side slope1H:4V, crest shorter than channel width, head .70 m and discharge .85 m³/s. Cd=.62,g=9.81 m/s². Find crest length in…
- Question 58 – Inflow ordinates at hours 0–9 are0,23,57,119,98,71,57,28,11,0 m³/s. Muskingum Δt=1 h, X=.2,K=.7 h. Find outflow at hour2 in m³/s, to two decimals.
- Question 59 – A 70%-efficient sprinkler system irrigates16 ha maize, ET6 mm/day. It operates20 h/day over 10 days. Find system capacity in L/s, to two decimals.
- Question 60 – A .68 mm falling ball traverses10 cm of sunflower oil in 44.5 s. Oil density921 kg/m³; ball density2420 kg/m³; g=9.81 m/s². Find dynamic viscosity in…
- Question 61 – A 3 m internal-diameter,10 m deep cylindrical metal silo holds maize of bulk density720 kg/m³. Grain internal-friction angle24°, grain–wall friction…
- Question 62 – Parboiled paddy dries from free moisture .40 to .02 kg water/kg dry solid. Dry solids99.8 kg; exposed area 4.654 m². Constant drying rate 1.51 kg/(m²…
- Question 63 – A burr mill grinds sorghum at 200 kg/h from 4 mm to .336 mm using7.2 kW. At another gap the product is .306 mm with the same feed. Use Kick’s law to…
- Question 64 – A freezer wall comprises120 mm brick,75 mm concrete and 50 mm cork. Conductivities are .69,.76,.043 W/(m K). Outside/inside surface temperatures24…
- Question 65 – A dryer recycles10 m³/s exhaust at 70°C,30% RH, humidity ratio .06335 kg/kg dry air. It mixes with 20 m³/s ambient air at 30°C,60% RH, humidity ratio…