GATE 2023 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2023 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – "You are delaying the completion of the task. Send contributions at the earliest."
- Question 2 – References : : : Guidelines : Implement (By word meaning)
- Question 3 – In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
- Question 4 – In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any…
- Question 5 – A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about…
- Question 6 – Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world,…
- Question 7 – To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of…
- Question 8 – The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until…
- Question 9 – The coefficient of x4 in the polynomial (x - 1)3(x - 2)3 is equal to .
- Question 10 – Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without…
- Question 11 – A, B are3×3 matrices with A =-1, B =3. Find 3AB .
- Question 12 – Find x0(1+x-1)/x.
- Question 13 – Evaluate I= 0/2( x+ x)2/1+2x\,dx.
- Question 14 – y=aemx+be-mx solves which ODE?
- Question 15 – Rotary-tiller total tillage energy decreases when
- Question 16 – Diesel turbocharger effectiveness increases when
- Question 17 – Thresher cylinder separation efficiency can be improved by increasing
- Question 18 – A four-stroke diesel inlet opens10° before TDC/closes40° after BDC. Exhaust opens25° before BDC/closes15° after TDC. What percentage of a cycle has…
- Question 19 – A tractor develops150 N·m at maximum power and has 20% reserve torque. Find peak torque in N·m.
- Question 20 – Which porous-medium statement is incorrect?
- Question 21 – Sprinkler application rate is 1.17 cm/hour and discharge1.3 L/s. Discharge coefficient.9,uniformity coefficient.8,and along-lateral spacing20 m are…
- Question 22 – A drip emitter has mean discharge4 L/hour, operating pressure110 kPa and emitter coefficient.3. Identify its type.
- Question 23 – A survey line has departure70 m and latitude−130 m. Find its whole-circle bearing in degrees.
- Question 24 – Match1 Tensiometer,2 Piezometer,3 Lysimeter,4 Elbow meter,5 Pitot tube with a Consumptive use, b Bernoulli equation, c Soil moisture, d Hydrostatic…
- Question 25 – Which information is needed to estimate design flood using the Rational formula?
- Question 26 – Microbial death follows 10(N 0/N)=1+(t-t l)/D,where t is time,t l lag time and D decimal reduction time. Which statement is correct?
- Question 27 – In a cream separator, fat-globule diameter halves and centrifuge speed triples. How does terminal separation velocity change?
- Question 28 – Which heat exchanger does not require an LMTD configuration correction factor?
- Question 29 – Which are dimensionless parameters?
- Question 30 – A storm has return period20 years. Find probability it occurs once in five years, to two decimals.
- Question 31 – Under declining-balance depreciation, a tractor is worth50% of purchase price after four years. Find constant annual depreciation rate in percent, to…
- Question 32 – A best-hydraulic trapezoidal grassed waterway has side slope1H:1V, Q=1 m³/s, bed slope1% and Manning n=.04. Find design depth in metres, to two…
- Question 33 – A fluidized carrot bed has minimum-fluidization height 1.20 m, diameter .60 m, carrot mass250 kg and solid density1040 kg/m³. Find bed porosity, to…
- Question 34 – A basket centrifuge rotates1000 rpm. Lighter-liquid surface and interface radii are.1025,.105 m. Light/heavy densities are920,1015 kg/m³. Find radial…
- Question 35 – Milk in a homogenizer drops from 250 to 10 bar. Density is 1030 kg/m³. Neglect losses and upstream kinetic energy. Find valve exit speed in m/s, to…
- Question 36 – A=pmatrix1&-1\\2&-1pmatrix,B=pmatrixa&1\&-1pmatrix and (A+B)2=A2+B2. Find a, b.
- Question 37 – Force F=5 i-10 j+8 k acts through the origin. Find its moment about A=(3,4,8),with the right-hand/counterclockwise sign convention.
- Question 38 – A vertical five-disc plough works.15 m deep. Disc angle40°,diameter .6 m, and overlap between successive discs at working depth .12 m. Find total cut…
- Question 39 – A 9-row seed drill with 20 cm row spacing delivers4.25 g per roller per shaft revolution. The shaft turns once per two ground-wheel turns.…
- Question 40 – A boom sprayer has 12 nozzles at .5 m spacing and 75° spray angle. Lowering height from .75 to .60 m changes the swath width by how many metres?
- Question 41 – A six-hour S-hydrograph has ordinates0,30,90,180,252,306,342,360,360 m³/s at 0,6,12,18,24,30,36,42,48 hours. The φ-index is .25 cm/hour and base flow…
- Question 42 – Soil field capacity/wilting moisture are.21/.09 cm³/cm³,root depth .90 m and MAD50%. January/February/March reference ET is 11/12/14 mm/day, effective…
- Question 43 – Horton infiltration capacity is I=2+e-3t cm/hour with t in hours. A storm lasts two hours. Find infiltration depth during its last hour, in mm.
- Question 44 – Juice solids concentration is .2 kg per m³ filtrate. Filtration of 12.49 m³ juice deposits.02 m cake of porosity.32. Solids collected are2.5 kg in 180…
- Question 45 – Cheese packaging has LDPE1.5 mm and PET1.3 mm layers, area 6.25 cm²,and oxygen pressure difference.30 atm. Oxygen permeabilities are4.18×10⁻⁸ and…
- Question 46 – An ice-cream freezer has three scraper blades, temperature difference30°C, ice density917 kg/m³,latent heat335 kJ/kg and U=2000 kJ/(m²·hour·°C).…
- Question 47 – Percentage absolute humidity equals percentage relative humidity when which conditions hold? Select all that apply.
- Question 48 – Which forced-convection dimensionless-number statements are correct?
- Question 49 – Convective storms occur with probability.7 and magnitude density f 1(x)=e-x for x>0. Cyclone storms have density f 2(x)=2e-2x. Find probability…
- Question 50 – For dy/dx=2x+y,y(0)=1,use fourth-order Runge–Kutta to find y(.2),to three decimals.
- Question 51 – A chaff cutter has mean cutting radius.25 m, two knives,300 rpm, and feeds30 maize stalks of 12 mm diameter at a time. Dynamic shear strength.05…
- Question 52 – A 2WD tractor weighs24 kN with 30% front/70% rear load. On pure sand maximum traction is 13 kN. Add1.5 kN to rear axle, neglect load transfer. Find…
- Question 53 – A four-stroke engine uses diesel at 45 MJ/kg and BSFC260 g/(kW·hour),or B20 at 42.1 MJ/kg and 310 g/(kW·hour). Brake power is 20 kW. Find change in…
- Question 54 – Solar irradiance varies400–750 W/m² and maximum PV efficiency is 14%. Cell Voc=21.6 V, Isc=3.22 A, fill factor.72. Find minimum cell area ensuring the…
- Question 55 – A single-disc clutch transmits10 kW at 1400 rpm. Mean axial contact pressure.07 N/mm² and friction coefficient.25. Diameter/lining face-width ratio is…
- Question 56 – A tractor chassis excites a seat at 20 rad/s. Damping is 400 N·s/m, critical damping1600 N·s/m, and seat-plus-operator mass80 kg. Find vibration…
- Question 57 – Two cylindrical reservoirs A(diameter 8 m) and B(diameter 10 m) connect through a 30 m pipe of 250 mm internal diameter and Darcy friction factor.025.…
- Question 58 – An anisotropic earth dam is 52 m high with 2 m freeboard. Horizontal/vertical conductivities are4.5×10⁻⁸/2.0×10⁻⁸ m/s. A transformed square flownet…
- Question 59 – Irrigation water salt concentration is 3.5 meq/L and soil saturation-extract concentration15.2 meq/L. Leaching efficiency55%. March reference ET150…
- Question 60 – A 10 m concrete pipe in a drop-inlet spillway carries1 m³/s with 4 m head. Entrance-loss coefficient.5 and friction coefficient.02;g=9.81 m/s². Find…
- Question 61 – A centrifugal pump at 1000 rpm delivers300 L/min at 30 m head and 65% efficiency. Raise speed to 1200 rpm. Find input power in kW, to two decimals;use…
- Question 62 – A .30 m diameter well fully penetrates an unconfined aquifer initially 40 m saturated. After eight hours pumping.03 m³/s, observation drawdowns are3 m…
- Question 63 – Oil in a .6 m pipe has wall shear stress12.5 Pa, pressure drop300 Pa and flow .25 m³/s. Find viscosity as n×10⁻³ Pa·s, reporting n to three decimals.
- Question 64 – Carrot slices have water activity.89. Adding NaCl to 20% sucrose solution(initial activity.987) lowers solution activity to .85. Find added NaCl…
- Question 65 – Copper and steel balls of diameters d₁,d₂ start at 200°C and both reach120°C after the same time in 30°C air. Bi<.1. Copper density8950 kg/m³,cp383…