GATE 2020 AG – Previous Year Questions with Solutions
All 65 questions of GATE 2020 AG with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – The untimely loss of life is a cause of serious global concern as thousands of people get killed accidents every year while many others die diseases…
- Question 2 – He was not only accused of theft of conspiracy.
- Question 3 – Select the word fitting the analogy: Explicit : Implicit :: Express : .
- Question 4 – The Canadian constitution requires equal importance for English and French. Air Canada lost a lawsuit and paid a six-figure fine to a French-speaking…
- Question 5 – A superadditive function satisfies f(x 1+x 2) f(x 1)+f(x 2). Which function has this property for x₁,x₂>1?
- Question 6 – The 2008 global financial crisis began with the US subprime lending crisis in 2007, which led to the banking crisis and the collapse of Lehman…
- Question 7 – At quarter past three, what is the smaller angle between a clock’s hands?
- Question 8 – A maximum-area rectangle PQRS is inscribed in a circle of radius a. Find the shaded area outside the rectangle and inside the circle.
- Question 9 – The quadratic ax2-bx+c=0 has equal real roots β. Which relation follows?
- Question 10 – The graph shows school enrolments for 2014–2018. Find the ratio of average enrolment in P to the average difference between Q and P.
- Question 11 – The function f(x)=x4-4x3+6x2-4x+1 has a
- Question 12 – A linear system has n unknowns. Its coefficient and augmented matrices have ranks r₁ and r₂. Which condition ensures a unique consistent solution?
- Question 13 – Find the general solution of y-6y+11y-6y=0.
- Question 14 – The angle made by the kingpin axis projected on a tractor’s longitudinal plane with the vertical is called
- Question 15 – A nine-row precision planter has 16 cells on each metering plate. Metering-plate/ground-wheel speed ratio is 1:2; wheel rolling diameter is 40 cm.…
- Question 16 – A self-propelled wheel does not have
- Question 17 – Match P confined/semi-confined aquifer property, Q unconfined aquifer property, R semi-confined aquifer property, S special unconfined aquifer case to…
- Question 18 – Drippers have discharge exponent 0.5 and discharge coefficient of variation 0.04. Which classification applies?
- Question 19 – Mean annual rainfall at A,B,C,D,E is 1020,810,675,940,780 mm. During a year with A unavailable, B,C,D,E record 890,725,980,850 mm. Estimate rainfall…
- Question 20 – Irrigation starts when 60% of available soil water remains. Field capacity and wilting point are 32% and 12% by mass. Bulk density is 1.5 g/cm³, root…
- Question 21 – A cold store cools 100 metric tons of potatoes from 35°C to 8°C in five hours. Potato heat capacity is 3.1 kJ/(kg °C), refrigeration COP 3.66, and…
- Question 22 – Hydrothermal treatment of paddy produces
- Question 23 – Which dryer performs both particle formation and drying?
- Question 24 – One eigenvalue of pmatrix3&2\\2&1pmatrix is 4.236. Find the other (three decimal places).
- Question 25 – Evaluate x0(ex-e-x-2x)/(x- x).
- Question 26 – A solar panel’s maximum-power operating point is 18 V,5.56 A; open-circuit voltage and short-circuit current are 21.6 V,6.11 A. Find fill factor (two…
- Question 27 – A tractor operator experiences sound pressure level 80 dB. Reference pressure is 2×10⁻⁵ N/m². Find RMS sound pressure in N/m² (two decimals).
- Question 28 – A towed pneumatic wheel has unloaded radius 330 mm and travels 9.9 m in five revolutions without skid. Taking rolling radius equal to static loaded…
- Question 29 – A 500 kg thresher feed has grain:straw ratio 3:2. Blown-grain loss is 0.05%, separation loss 0.5%, cleaning efficiency 99.1%, and threshing efficiency…
- Question 30 – A tubewell delivers 40 m³/h for 20 h/day. Irrigation interval is 20 days and each irrigation depth is 8 cm. Find command area in hectares.
- Question 31 – A 720 ha watershed has drainage coefficient 1.2 cm per day. Find design drain discharge in m³/s.
- Question 32 – A watershed has rainfall erosivity 280 MJ mm/(ha h year), soil erodibility 0.38 ton ha h/(MJ mm), slope length 200 m, average slope 8%,…
- Question 33 – Tomato juice with 6 wt% solids enters a single-effect evaporator at 500 kg/h and is concentrated to 36 wt% solids. Find water-removal rate in kg/h…
- Question 34 – A composite wall has 100 mm brick of conductivity 0.30 W/(m °C), followed by 150 mm polyurethane insulation of conductivity 0.05 W/(m °C). Exposed…
- Question 35 – A batch of 12500 L milk initially contains 10 Coxiella burnetii organisms per mL and is packed in 500 mL pouches. Decimal reduction time at 72°C is 14…
- Question 36 – A particle has R=(2t3+4t2) i+(3t2-5t) j+(7t2+6t) k. Find its velocity component along 3 i+2 j+ k at t=2.
- Question 37 – For f(t)=42t+6e-8t, find F(s)= 0 f(t)e-st\,dt.
- Question 38 – A channel’s flow passes a 90° triangular weir with head 36 cm, then a 1 m rectangular weir with no intervening loss. Using Francis’ formula, find the…
- Question 39 – A differential mercury manometer measures two points on an oil pipe and shows 20 cm mercury-level difference. Specific gravities are oil0.8 and…
- Question 40 – Match P hydraulic conductivity, Q permeability, R viscosity, S surface tension, T saturation capacity, U field capacity with 1 upper…
- Question 41 – A 5 m retaining wall holds dry cohesionless soil of density 1.9 Mg/m³ and friction angle28°. Backfill is horizontal. With g=9.81 m/s², find active and…
- Question 42 – A 40 cm tubewell penetrates a 10 m confined aquifer with conductivity25 m/day. Piezometric height at radius500 m is40 m and well drawdown30 m. If…
- Question 43 – Match P paddy dehusking, Q wheat milling, R pulse dehusking, S spice grinding to 1 abrasive emery-roll cylinder, 2 attrition disk, 3…
- Question 44 – Steam at121°C sterilizes pineapple juice by direct injection. Juice enters80°C and diluted juice exits95°C; cp=3.9 kJ/(kg °C), no heat loss. At95°C:…
- Question 45 – Oil enters a counterflow concentric heat exchanger at120°C,20 kg/min; water enters the opposite end at30°C,50 kg/min. Specific heats are oil1.9 and…
- Question 46 – Use Simpson’s one-third rule with six equal intervals of width π/12 to approximate 0/2\,d (three decimals).
- Question 47 – Draw two cards successively without replacement from the26 red cards of a deck. Probability of first a king and then a queen is P×10⁻³. Find P (three…
- Question 48 – A hydraulic sprayer operates at10 km/h,420 kPa and width4.5 m. Pump input is0.75 kW at70% efficiency and10% of discharge is bypassed for agitation.…
- Question 49 – A PTO disc mower has four nonoverlapping60 cm cuts. Parasitic power loss is2.5 kW/m width, specific cutting energy2.0 kJ/m² and travel speed6 km/h.…
- Question 50 – A horizontal-axis multibladed wind turbine of Cp0.4 pumps15 L/s through20 m head. Wind speed8 m/s; pump and transmission efficiencies70% and90%; air…
- Question 51 – A two-wheel-drive tractor weighs25 kN, wheelbase2.2 m, CG0.7 m ahead of rear axle. A steady horizontal pull at hitch height0.5 m leaves front-axle…
- Question 52 – A tractor engine rejects0.58 kW to cooling per kW brake power. Required water flow is0.16 L/s per kW heat rejected to maintain6°C water drop across…
- Question 53 – A V-belt transmits10 kW at8 m/s. Small-pulley wrap170°, groove angle38°, friction coefficient0.28 and maximum stress4 MPa. Ignore centrifugal force.…
- Question 54 – A chaffcutter motor runs1440 rpm, reduced4:1 to a two-knife cutter shaft. Feed rollers of10 cm diameter run through a further15:1 reduction. Find…
- Question 55 – A right-hand offset disk harrow has front longitudinal/side reactions3.0/2.5 kN and rear3.5/4.0 kN. Gang centres are2.5 and4.0 m behind the hitch.…
- Question 56 – A diesel engine uses B20 biodiesel blend,20% biodiesel by volume. Brake power10 kW, specific consumption0.26 kg/(kW h), biodiesel density880 kg/m³ and…
- Question 57 – Pond contour elevations 100, 101, 102, 103, 104, 105 and 106 m enclose areas 440, 580, 640, 740, 960, 1100 and 1240 m², respectively. Estimate…
- Question 58 – At1800 rpm a centrifugal pump discharges50 L/s at best efficiency and25 m head. Find its metric specific speed (two decimals).
- Question 59 – A40 ha watershed has curve number80 under AMC-II. Initial abstraction is20% of maximum retention. Find direct runoff from40 mm rainfall in mm (two…
- Question 60 – An overhead benchmark has RL85.168 m. A vertically inverted staff gives backsight3.645 m; foresight on an upright staff at the site is1.523 m. Find…
- Question 61 – Air at30°C DBT and40% RH is heated to65°C DBT,30°C WBT and used for constant-rate drying. Dry-air and vapour heat capacities are1.005 and1.88 kJ/(kg…
- Question 62 – A tray separator handles1200 kg/h of paddy/brown rice. Paddy mass fractions in feed, separated-paddy outlet and brown-rice outlet are0.20,0.75,0.02.…
- Question 63 – A cylindrical silo has diameter3 m, height/diameter5 and contains60 metric tons wheat of bulk density725 kg/m³. Wall friction coefficient0.42 and…
- Question 64 – A bucket elevator lifts paddy of bulk density840 kg/m³ at2 m/s. Bucket width25.4 cm; cross-section is a75° circular sector of radius12.7 cm. Bucket…
- Question 65 – A contact plate freezer freezes a24 mm meat slab initially at its freezing point272.5 K. Water content85 wt%, water latent heat335 kJ/kg, plate…