GATE Sample Paper for Agricultural Engineering

Sample Paper aglase .co

AG: Agricultural Engineering

Q.No. 1 Match the following items between Column-I and Column-II with the most appropriate
combinations: Column-I [1] Uniformly spaced contour lines [2] Widely spaced contour lines [3] Closely
spaced contour lines [4] A series of close contours with high value inside Column-II P) Flat ground Q) Steep
ground R) Hil S) Uniform slope

(A) 1-P,2-R,3-S,4-Q

(B) 1-S,2-P,3-Q,4-R

(C) 1-Q,2-S,3-P,4-R

(D) 1-S,2-Q,3-P,4-R

Q.No. 2 The combined mass of a tractor seat and operator is 75 kg and the undamped natural frequency of
the operator seat is 10 rad s-¹. If the seat suspension damping rate is 600 N m-¹ s-¹, the damping ratio is

(A) 0.2

(B) 0.4

(C) 0.6

(D) 0.8

Q.No. 3 A self-propelled wheel does not have

(A) Wheel torque

(B) Tractive power

(C) Rolling resistance

(D) Drawbar pull

Q.No. 4 In a tractor steering system, the angle made by the kingpin axis projected on the longitudinal plane
Of the tractor With the vertical is known as

(A) Kingpin inclination

(B) Caster angle

(C) Camber angle

(D) Steering angle

Q.No. 5 The pump used in high pressure orchard sprayer 1s

(A) Centrifugal pump

(B) Rotary pump

(C) Plunger type positive displacement pump

(D) Turbine pump

Answer: (C)

Q.No. 6 Remedial measure generally adopted for controlling stream-bank erosion is

(A) Shelter belts

(B) Spurs

(C) Brushwood dams

(D) Drop spillways

Q.No. 7 India’s annual paddy production is 160 million ton (clean paddybasis). Average husk content of
paddy is 22.4% and milled rice yield is 70%. Considering 18% oil content in bran fraction and calorific value
of 12 MJ ke"! of husk, the oil potential of bran and energy potential of husk will respectively be

(A) 2.19*10° ton: 430080«10" J

(B) 2.19*10° ton: 210450*10" J

(C) 4.76*10° ton: 210450x10" J

(D) 4.76* 10° ton: 43008010" J

Q.No. 8 A linear system of equations has n unknowns. The ranks of the coefficient matrix and the
augmented matrix Of the linear system Of equations are and n, respectively. The condition for the equations
to be consistent with a unique solution is

(A) r1 ≠ r2 < n

(B) r1 = r2 = n

(C) r1 = r2 < n

(D) r1 ≠ r2 > n

Q.No. 9 A soil sample has a porosity of 40%. Void ratio of the soil sample is

(A) 0.367

(B) 0.467

(C) 0.567

(D) 0.667

Q.No. 10 Both particle formation and drying process are carried out by

(A) Flash dryer

(B) Fluidized bed dryer

(C) Pneumatic conveyor dryer

(D) Spray dryer

Q.No. 11 Matrix is a

(A) Diagonal matrix

(B) Orthogonal matrix

(C) Symmetric matrix

(D) Skew-symmetric matrix

Q.No. 12 Water is flowing at a velocity of 1.6 m s-¹ in a pipe of diameter 8 cm and length 100 m. Assuming
the value of coefficient of friction for pipe, f = 0.005 and acceleration due to gravity, g = 9.81 m s-², the head
loss (in meter) due to friction in the pipe is

(A) 1.28

(B) 2.28

(C) 2.78

(D) 3.26

Q.No. 13 A trapezoidal notch, placed over an emergency spillway. has the following details: Top width = 2m
Bottom width = 1 m Height = 0.5 m Coefficient of discharge for the triangular portion = 0.65 Coefficient of
discharge for the rectangular portion = 0.68 For a flowhead of 0.4 m over the notch, the discharge in L s*
will be about

(A) 155

(B) 353

(C) 508

(D) 663

Q.No. 14 A level field of 1.2 ha (120 m × 100 m) is ploughed using a reversible mould board plough with a
total effective cutting width of 0.64 m. The average field overlap is 80 mm between two consecutive laps.
The average time taken for each turn is 30 seconds and the mean operating speed is 5.0 km h-¹. The
maximum effective field capacity in ha h-¹ is

(A) 0.207

(B) 0.236

(C) 0.283

(D) 0.318

Q.No. 15 Head rice contents in the samples collected at feed inlet, head rice outlet and broken rice outlet of
an indented cylinder grader are 82%, 94% and 15%, respectively. If the grader receives the feed at 1200 kg
h-¹, the flow rate (in kg h-¹) of head rice in the broken rice stream is

(A) 20.17

(B) 27.34

(C) 182.28

(D) 1017.72

Q.No. 16 A chiller working on mechanical vapour compression refrigeration system (COP = 4.5) is used for
cooling 12500 kg of fresh cow milk (cp = 3.8 kJ kg-¹ K-¹) from 30 °C to 4 °C in 3 hours. Assuming ideal
compression process, the power consumed by the electric motor in kW and the tonnage of refrigeration (TR),
respectively are

(A) 25.4 and 5

(B) 25.4 and 114.3

(C) 5 and 25.4

(D) 114.3 and 25.4

Q.No. 17 A watershed of 4.8 km? generates 4.3 cm runoff from a rain storm of 4-hour duration. The
measured rainfall intensities for this stormin successive 30-minute durations are given below:

The value of Φ-
index for the watershed in cm will be:

(A) 6.5

(B) 5.3

(C) 2.4

(D) 2.1

Answer: (C)

Q.No. 18 In a cold storage, 10 metric ton of potato is to be brought down from 30 to 8 °C storage
temperature in 6 hours of airblast at the evaporator temperature of -10°C. Specific heat capacity of potato is
3.2 kJ kg? K7. COPofthe refrigeration cycle deployed is 4.2 with evaporator load extraction capacity of 210
kJ kg’. Neglecting the respiration load of potato. The refrigerant flow rate and compressor Power
requirement will be:

(A) 3.9 kg min-1: 7.76 kW

(B) 9.3 kg min-1: 8.50 kW

(C) 9.3 ke min-1; 7.76 kW

(D) 3.9 kg min-1: 8.50 kW

Answer: (C)
∞
Q.No. 19 I = ∫ 0 2
dx
2
has the value
(x +1)

(A) (0.785)

(B) (0.915)

(C) (000)

(D) (245)

Q.No. 20 Hydrothermal treatment of paddy makes

(A) Shelling more difficult

(B) Polishing of parboiled rice easier

(C) Higher retention of vitamins and minerals

(D) Kernel soft, resulting in faster cooking

Answer: (C)

Q.No. 21 The reaction rate for destruction of Clostridium botulinum increases 11 times for temperature rise
of 10 °C from 121.1 °C. The decimal reduction time of this organism is 5.7 s at 121.1 °C. The Minimum
sterilization time in seconds at 135 °C, for eight log cycle reduction of the organism, is

(A) 0.20

(B) 0.31

(C) 1.63

(D) 2.49

Answer: (C)

Q.No. 22 In a drainage area of 15 ha, the slope and drainage coefficient are 0.4% and 11
mm/day,respectively. The value of Manning’s roughness coefficient is 0.016. The inside diameter (in mm) of

(A) 200.51

(B) 205.52

(C) 209.51

(D) 215.23

Answer: (C)

Q.No. 23 The determinant of the matrix A =

(A) 1

(B) 0

(C) -1

(D) 2

Answer: (C)

⎢⎥
the corrugated plastic tubing used for drainage is

⎡

⎣
2

2

1
1

3

2
1

2

1
⎤

⎦
is

Q.No. 24 Match the following items between Column I and Column II with the most appropriate

combinations:

(A) P-3,Q-2, R-1,S-4

(B) P-2,Q-3, R-1,S-4

(C) P-2,Q-3, R-4,S-1

(D) P-3,Q-2, R-4,S-1

Answer: (C)

Q.No. 25 A cold storage takes 5 hours to bring down the temperature of 100 metric tons of potato from 35℃
to 8℃. The specific heat capacity of potato is 3.1 kJ kg⁻¹ ℃⁻¹ The coefficient of performance (COP) and
the latent heat of vapourisation of the refrigerant (R—22) at an evaporation temperature of -10℃ are 3.66
and 230 kJ kg⁻¹, respectively. Neglecting respiration heat load of potato, and assuming no power loss, the
values Of refrigerant now rate and the input to the Compressor are

(A) 121.3 kg min⁻¹ and 127.1 kW

(B) 124.7 kg min⁻¹ and 121.3 kW

(C) 127.1 kg min⁻¹ and 121.3 kW

(D) 124.7 kg min⁻¹ and 127.1 kW

Q.No. 26 A batch of 100 kg grain at 32% moisture content (wet basis) is being dried using hot air at 70 °C
and 30% RH. The values of Henderson equation’s constants c and n for the grain are 8.5 × 10 and 2.07,
−6

respectively. Considering the maximum possible drying of the batch, the quantity of moisture removed in kg
is

(A) 10.20

(B) 17.05

(C) 21.98

(D) 25.07

Q.No. 27 On a 4% land slope in a medium rainfall zone, the horizontal spacing of bunds in meter and the
length of bunds per hectare in meter, respectively are

(A) 25 and 300

(B) 25 and 400

(C) 30 and 300

(D) 30 and 400

Q.No. 28 A 3-cylinder 4-stroke CI engine coupled with a turbocharger has a bore and stroke length of 120
mm and 130 mm, respectively. The engine is running at 1600 rpm with a volumetric efficiency of 150%. The
air to fuel ratio for complete combustion on weight basis is 14.9:1and the density of air entering the cylinder
is 1.2 kg m-³. The fuel consumption in kg h-¹ is

(A) 17.05

(B) 25.57

(C) 33.33

(D) 51.14

Q.No. 29 Hot refined oil at 120℃ enters a concentric tubein-tube heat exchanger (VIE) at the rate of 20 kg
min⁻¹. The oil is cooled by water entering at a temperature of 30℃ from the other end of the HE at the rate
of 50 kg min⁻¹. Specific heat capacities of oil and water are 1.9 and 4.2 kJ kg⁻¹ ℃⁻¹, respectively. The
effectiveness of the HE may be taken as 0.7. Assuming no heat loss to the surrounding under steady-state
condition, the exit temperature Of water from the HE in ℃ is

(A) 39.9

(B) 41.4

(C) 57.7

(D) 63.0

Q.No. 30 Head pulley of a bucket elevator has an effective radius of 150 mm. In order to obtain the most
satisfactory discharge from this elevator, the speed of the head pulley in rpm is

(A) 36

(B) 44

(C) 50

(D) 77

Q.No. 31 In a basin, rainfall is recorded by five automatic weather stations A, B, C, D and E With respective
average annual rainfall Of 1 020, 810, 675, 940 and 780 mm. In a particular year, the station A was non-
operational and the remaining stations B. C, D and E recorded annual rainfall of 890, 725. 980 and 850 mm,
respectively. The estimated rainfall at the station A in that particular year in mm is

(A) 758

(B) 878

(C) 1038

(D) 1098

Q.No. 32 Modified Hooghoudt’s equation for the computation of drain spacingis applicable to

(A) homogeneous soils

(B) anisotropic soils

(C) heavy clay soils only

(D) layered soils

Q.No. 33 In fuel property determination, Reid vapour pressure test is used for measuring

(A) Volatility

(B) Viscosity

(C) Sulphur content

(D) Carbon Residue

Q.No. 34 A 20 cm diameter well fully penetrates a confined aquifer of thickness 20 m. After a long period of
pumping at the rate of 1500 L min-¹, the steady drawdowns in the wells at 30 m and 50 m from the pumping
well are found to be 2.0 m and 1.5 m, respectively. Assuming π = 3.14, the transmissivity of the aquifer in m²
s-¹ is

(A) 0.244

(B) 14.676

(C) 352.224

(D) 880.560

Q.No. 35 The clean paddy production per annum is 160 million tonnes. Average milling quality analysis
indicates the husk content, total yield and degree of polish as 22%, 73.32% and 6%, respectively. For an
average bran oil yield of 20%, the annual rice bran oil potential in million tonnes is

(A) 1.268

(B) 1.498

(C) 1.617

(D) 1.945

Q.No. 36 The seepage analysis in earthen dams is carried out by drawing flownet which consists of
equipotential and streamlines. For a homogeneous and isotropic earthen dam, these two lines are always:

(A) orthogonal to each other

(B) parallel to each other

(C) divergent to each other

(D) convergent to each other

Q.No. 37 From the performance evaluation of drippers, the discharge exponent value and the coefficient of
variation were obtained as 0.5 and 0.04, respectively. The drippers are categorized as

(A) Pressure compensating drippers of excellent quality

(B) Turbulent now-tortuous path orifice type drippers of good quality

(C) Turbulent flow-tortuous path orifice type drippers of marginal quality

(D) Laminar now drippers of excellent quality

Q.No. 38 The type of typical spray distribution profile of a hollow cone nozzle is

(A) steep sided slopes

(B) gradual sloping sides

(C) narrow topped with gradual slopes

(D) narrow topped with steep sides

Q.No. 39 The farm machine/implement used only for preparing wetland is

(A) rotavator

(B) disk harrow

(C) hydro-tiller

(D) cultivator

Answer: (C)

Q.No. 40 Tensiometer installed in the soil measures

(A) osmotic suction of soil moisture

(B) soil permeability

(C) soil moisture content

(D) capillary potential of the soil

Q.No. 41 A field crop is irrigated when the available soil water reduces to 60%. The moisture content at field
capacity and wilting point are 32% and 12%, respectively. The bulk density of the soil is 1.5 g cm-3. The
field water application efficiency is 75% and the crop root zone depth is 50 cm. The gross depth Of irrigation
required to bring soil moisture content to field capacity in mm

(A) 6

(B) 8

(C) 9

(D) 12

Q.No. 42 A catchment has eight raingauge stations. In a year, the annual rainfall recorded by the gauges (in
cm) are 93.8, 106.5, 170.6, 138.7, 87.8, 156.2, 180.9 and 110.3. For a 10% error in the estimation of the
mean rainfall, the optimum number of stations in the catchment is

(A) 4

(B) 6

(C) 8

(D) 10

Answer: (C)

Q.No. 43 A tube-in-tube counter-flow heat exchanger is heating oil from 35 °C to 77 °C by circulating hot
water at 100 °C. The outlet temperature of water is 70 °C. The log-mean-temperature difference (LMTD) is

(A) exactly equal to the mean arithmetic temperature difference

(B) significantly greater than the mean arithmetic temperature difference

(C) significantly smaller than the mean arithmetic temperature difference

(D) very nearly equal to the mean arithmetic temperature difference

Q.No. 44 If the Reel Speed Index of a grain combine is more than 1.5, it will increase

(A) Cutter barloss

(B) Shatterloss

(C) Cylinderloss

(D) Strawwalkerloss

Q.No. 45 A 40 cm diameter tubewell is constructed in a 10 m thick confined aquifer having hydraulic
conductivity of 25 m day⁻¹. The piezometric surface is observed to be 40 m high from the impervious
stratum at the radius of influence of 500 m. The drawdown in the tubewell is 30 m. If the thickness Of
aquifer is doubled and diameter Of tubewell is reduced to half, keeping all Other parameters and conditions
same, the change in discharge from the well is [Take π= 3.14]

(A) Increased by 83.72%

(B) Decreased by 83.72%

(C) Increased by 82.28%

(D) Decreased by 82.28%

Q.No. 46 A cream separator has discharge radii of 6 cm and 9 cm and the density of cream and skim milk are
860 and 1035 kg m-³, respectively. The ideal radius (in meter) for placing the feed inlet is

(A) 0.085

(B) 0.098

(C) 0.113

(D) 0.174

Q.No. 47 Let a function f (t) = 4 cos 2t + 6e −8t
. The Laplace transform of the given function
∞
dt is
−s
f (t), L{f (t)} = F (s ) = ∫ f (t)e
0

(A) s +4
4s
2 +
6

s +8

(B) s −4
4s
2
+
6

s −8

(C) x
2
8

+4
+
6

s +8

(D) s −4
2
8
+
6

s −8

Answer: (C)

Q.No. 48 Differentiation of √1+x2 gives:

(A) 1/(1+x2)

(B) 1/√(1+x2)

(C) √(1+x2)/x

(D) x/√(1+x2)

Q.No. 49 Steam(he = 632.2, hg, = 2113.2. h, = 2745.4 kJ kg) at 150 °C is used to sterilize milk by direct
steam injection. Milk is initially at 90 °C and after sterilization, the blend of resultant milk and Condensed
steam(hz = 567.6, he = 2159.2, hg = 2726.7 kJ ke’) are at 135 °C. Specific heat capacity of milk is 3.8 kJ kg’
K’. Assuming no energy loss, the amount of milk (in kg) sterilized per kg steam supplied is:

(A) 21.57

(B) 12.74

(C) 9.73

(D) 4.48

Q.No. 50 A two-wheel drive tractor while operating a plough at a forward speed of 5 km h-¹ experiences a
wheel slip of 15%. If the angular speed of the rear axle is 2.4 rad s-¹, the rolling radius of the traction wheel
in meter will be

(A) 0.49

(B) 0.58

(C) 0.68

(D) 0.75

Answer: (C)

Q.No. 51 A horizontal axis drag type wind rotor, fitted with 4 thin rectangular blades having drag coefficient
1.29, is used to extract power when the average wind velocity in the rotor plane is 10 km h-¹. The maximum
power coefficient is

(A) 0.148

(B) 0.191

(C) 0.393

(D) 0.593

Q.No. 52 Match the following items between Column-I and Column-II with the most appropriate

combinations:

(A) 1-Q,2-P, 3-T, 4-S, 5-R, 6-U

(B) 1-8, 2-U, 3-T, 4-P. 5-R. 6-Q

(C) 1-S, 2-R, 3-T, 4-P, 5-Q, 6-U

(D) 1-P, 2-U, 3-S, 4-T, 5-R. 6-Q

Q.No. 53 Length of the husking zone in a rubber roll paddy dehusker, having d as roll diameter, ¢ as
clearance between therolls. and D as grain thickness,is ad 4 (=) ad c 4 (=)

(A) πd/360 Cos-1(d+c/d+b)

(B) πd/180 Cos-1(d+c/d+b)

(C) πd/360 Sin-1(d+c/d+b)

(D) πd/180 Sin-1(d+c/d+b)

Q.No. 54 A watershed of 100 km’ is underlain by an unconfined aquifer having hydraulic conductivity of 15
m day? and specific yield of 0.20. If 30 million m’ of water is pumped from this aquifer through uniformly
distributed wells. The average drop of water table over the watershed in meter will be

(A) 1.50

(B) 0.75

(C) 0.06

(D) 6.00

Q.No. 55 A tractor operated 9-row precision planter has 16 cells on the metering plates. The speed ratio of
the metering plates to the ground drive wheel is 1:2 and the rolling diameter Of the ground drive Wheel is 40
cm. Assuming no skid, the plant to plant spacing in rows in mm is

(A) 39

(B) 50

(C) 157

(D) 314

Answer: (C)