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FOR GATE EXAM PREPARATION
GATE 2026
Question Paper ·
Agricultural
Engineering (AG)
EXAM YEAR TYPE SUBJECT
GATE 2026 Question Paper Agricultural Engineering (AG)
Notes · Sample Papers · Previous Year Papers · Mock Tests
Page 2
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General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each
Q.1 Suresh said, “I did it yesterday.”
Which one of the following options is the correct form of this sentence in indirect
m
m .co
speech?
.co s e m
s em l a
g la ag
(A) a Suresh said that I did it yesterday.
(B) Suresh says I did it yesterday.
(C) Suresh says that he did it the day before.
m
.co
(D) Suresh said that he had done it the day before.
e m
las
ag
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.2 To continue the sequence of tiles shown, the tile indicated by the question mark
should be
(A)
(B)
(C)
(D)
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Q.3 Consider an art gallery whose walkways are shown as lines in the diagram. A
black dot represents a junction of two walkways. A guard may be placed at a
junction to watch over the walkways that join at that junction. The minimum
number of guards needed to watch all the walkways is ________.
m
m .co
m .co s e m
s e l a
g l a ag
a
(A) 2
m
m .co
(B) 3
s e
g la
(C) 4 a
(D) 5
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.4 The 2nd of June is a Thursday in a certain year. Which day of the week is the
3rd of July in that year?
(A) Thursday
(B) Friday
(C) Saturday
(D) Sunday
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Q.5 A coin with heads facing up is shown as and a coin with tails facing up is
shown as .
Six coins are placed in the Starting Arrangement, as shown in the figure below.
A “step” is defined as interchanging a pair of adjacent coins without flipping
them. The minimum number of steps needed to go from the Starting Arrangement
m
.co
to the Final Arrangement, as shown in the figure, is ________.
m
m .co s e m
s e l a
g l a ag
a
(A) 3
m
.co
(B) 6
e m
(C) 9
las
ag
(D) 12
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.6 – Q.10 Carry TWO marks Each
Q.6 Exacerbate : Mitigate :: ___________
Choose the option with the correct pair of words to fill the blank.
(A) Aggravate : Alleviate
(B) Alleviate : Precipitate
(C) Aggravate : Precipitate
(D) Emancipate : Exonerate
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Q.7 A paper shown in Panel I is folded along the dashed lines (- - -) to construct a
cube. The shaded regions shown in Panel I appear on the outer surface of the cube.
Referring to cubes shown in Panel II, which one of the options is correct?
m
m .co
m .co s e m
s e l a
g l a ag
a
m
m .co
s e
g la
a
(A) Only (i) can correspond to the unfolded cube in Panel I.
(B) Only (ii) can correspond to the unfolded cube in Panel I.
(C) Both (i) and (ii) can correspond to the unfolded cube in Panel I.
m
m .co
.co m
(D) Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
m s e
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.8 In a population, patients who have high cholesterol also have high blood-pressure
(BP). Some patients with high BP also have diabetes. There are no patients who
have both high cholesterol and diabetes. Furthermore,
1. the total number of patients with at least one of these conditions is 75,
2. the number of patients with high cholesterol is 10,
3. the number of patients with high BP is 45, and
4. the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is _______
(A) 0
(B) 15
(C) 20
(D) 10
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Q.9 Four people P, Q, R, and S, of different ages, make the following observations.
P – I am younger than S.
Q – I am neither the youngest nor the oldest.
R – P is older than me. m
m .co
.co
Based on these observations, the youngest person is ______.
m s e m
s e l a
g l a ag
a
(A) P
(B) Q
(C) R
m
(D) S
m .co
s e
g la
a
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.10 Circles 𝐶1 , 𝐶2 , and 𝐶3 , with centers 𝑂1, 𝑂2, and 𝑂3 , and radii 𝑟1 , 𝑟2 , and 𝑟3 ,
respectively, touch each other as shown in the following figure. Given 𝑟1 = 2 cm,
𝑟2 = 1 cm and the angle ∠𝑂1 𝑂3 𝑂2 is 90°, 𝑟3 = _____ cm.
(A) 1
(−3 + √17 )
2
(B) 1
(3 + √17 )
2
(C) 1
(−2 + √17 )
2
(D) 1
(−3 + 2√17 )
2
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Q.11 – Q.35 Carry ONE mark Each
Q.11 Identify the following partial differential equations in the given order based on their
generic form where 𝑐 is a constant, and 𝑢1 and 𝑢2 are functions of (𝑥, 𝑡) and (𝑥, 𝑦),
respectively:
𝜕2 𝑢 𝜕2 𝑢1 𝜕𝑢 𝜕2 𝑢1 𝜕2 𝑢 𝜕2 𝑢
m
.co
(i) 𝜕𝑡 21 = 𝑐 2 (ii) 𝜕𝑡1 = 𝑐 2 (iii) 𝜕𝑥 22 + 𝜕𝑦 22 = 0
m
𝜕𝑥 2 𝜕𝑥 2
.co s e m
s em l a
g la ag
(A) a (i) Wave equation (ii) Heat equation (iii) Laplace equation
(B) (i) Heat equation (ii) Laplace equation (iii) Wave equation
(C) (i) Laplace equation (ii) Wave equation (iii) Heat equation
m(iii) Laplace equation
.co
(D) (i) Heat equation (ii) Wave equation
e m
las
ag
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.12 A box contains one red ball and two blue balls. One ball is drawn at random, its
colour is noted and the ball is returned to the box. The process is repeated. In the
first two draws, blue ball appears each time. The probability of drawing blue ball
again in the third draw is
(A) 2
3
(B) 1
3
(C) 1
2
(D) 1
Q.13 𝑑2 𝑦
The general solution to the ordinary differential equation = cos 2𝑥 is
𝑑𝑥 2
(A) cos 2𝑥
𝑦=− + 𝐶1 𝑥 + 𝐶2 , where 𝐶1 and 𝐶2 are constants
4
(B) sin 2𝑥
𝑦= + 𝐶1, where 𝐶1 is a constant
2
(C) cos 2𝑥
𝑦= + 𝐶1 𝑥 + 𝐶2 , where 𝐶1 and 𝐶2 are constants
4
(D) sin 2𝑥
𝑦=− + 𝐶1 , where 𝐶1 is a constant
2
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Q.14 Two square matrices 𝐀 and 𝐁 of the same order are such that, det[𝐀 ∙ 𝐁] = −80
and det[𝐀] = 5. Here, 𝐀 ∙ 𝐁 is the product of 𝐀 and 𝐁. The value of det[𝐁 𝑻 ] is
m
−16
m .co
.co
(A)
e m
e m l as
(B)
−
l as
1
ag
ag 16
(C) −400
(D) 28
m
m .co
s e
g la
Q.15
a
Consider the simultaneous equations
2𝑥 + 4𝑦 = −7; 3𝑥 + 5𝑦 = 1
While solving using Gauss elimination without pivoting, after the forward
elimination, the diagonal elements of the coefficient matrix are
m
m
c. o(A) 2 and −1
m.co
m s e
s e g l a
g la (B) 3 and 2
a
a
(C) 5 and −2
(D) 3 and 4
m .
.co s e m
s em l a
la
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Q.16 A plough attachment, which is a miniature plough bottom that cuts a narrow,
shallow furrow ahead of the shin and moves trash and roots toward the main furrow
so that they are completely covered by the mouldboard, is called as
(A) Jointer
(B) Coulter
(C) Subsoiler
(D) Weed hook
Q.17 Fuel property that predominantly governs ‘hard / cold starting’ in SI engine is P;
and the property that predominantly governs ‘ignition delay’ in CI engine is Q.
Identify the correct option for P and Q combination
(A) P: Octane number Q: Calorific value
(B) P: Volatility Q: Cetane number
(C) P: Flash point Q: Viscosity
(D) P: Calorific value Q: Octane number
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Q.18 A tractor engine delivers 382 N.m brake torque at a rated speed of 2000 rpm. The
radiator cooling fan draws 5% of the engine brake power. The fan pushes 2.8 m3.s−1
of air against 0.9 kPa static pressure rise. Assuming air as incompressible, and
ignoring other losses, the fan efficiency, in %, is nearest to
(Take π = 3.14)
m
m .co
m .co s e m
s e l a
(A)
g l
58 a ag
a
(B) 60
(C) 63
(D) 65
m
.co
s em
la
A 2WD tractor’s driving axlegexperiences
driving wheels have 0.60 marolling radius. The total driving axle torque measured
Q.19 total dynamic normal load of 28 kN. The
is 10.7 kN.m. At 18% wheel slip, the coefficient of net traction is 0.35. Tractive
efficiency of the driving wheels, in %, is nearest to
(A) 45
m
m
c. o(B) m.co
m 35
s e
s e g l a
g la a
a (C) 55
(D) 58
m .
.co s e m
s em l a
la
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Q.20 The RMS sound pressure is increased by 50%. This increases the sound pressure
level, in dB, nearly by
(A) 3.52
(B) 8.11
(C) 100.21
(D) 43.52
Q.21 A trapezoidal channel carries 5 m3.s−1 of water under uniform flow condition. The
channel has a bottom width of 2 m, side slope of 2:1 (horizontal: vertical), and a
bed slope of 1%. If the Manning roughness coefficient is 0.03, the conveyance of
the channel, in m3.s−1, is
(A) 2
(B) 5
(C) 15
(D) 50
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Q.22 In wind erosion, the amount of soil transported varies
m
.co
(A) directly as the cube of the threshold wind velocity and inversely as the square of the
m
mean soil particle diameter
.co
mas the cube of the actual wind velocity and inversely as the square of the las e m
(B)
s e
directly
g
l a a
ag
mean soil particle diameter
(C) directly as the cube of the difference in actual and threshold wind velocity and the
square of the mean soil particle diameter
(D) directly as the cube of the difference in actual and threshold wind velocity and the
square root of the mean soil particle diameter
m
m .co
s e
g la
a
Q.23 When the bed slope of the discharge carrier in a chute spillway changes from steeper
to milder, we provide a
(A) concave vertical curve
m
m
c. o(B) m.co
m
convex vertical curve
s e
s e g l a
g la a
a
(C) reverse curve
(D) converging transition
m .
.co s e m
s em l a
la
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Q.24 A natural colloidal clay, having the characteristics of absorbing water and swelling
8 to 15 times its dry size, used as an efficient and effective sealing material for farm
ponds, is
(A) EPDM (Ethylene Propylene Diene Monomer)
(B) Butyl
(C) Bentonite
(D) Soil cement
Q.25 By depth-area-duration analysis, the maximum average depth of rainfall over a
103 km2 catchment due to a 6-hour storm is 80 mm. For the same storm, the
maximum average depth of rainfall for a 104 km2 catchment, in mm, is
(A) greater than 88
(B) lesser than 80
(C) equal to 80
(D) between 81 and 88
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Q.26 Dimensionless parameter among the following options is
m
.co
(A) heat exchanger effectiveness
o m m
c
humid heat. of air-water vapour mixture
s e
em a
(B)
s l
g la volume of air-water vapour mixture ag
(C)
a humid
(D) overall heat transfer coefficient
m
m .co
Q.27
s e
It is given that the water activity of a food is equal to the relative humidity of the
la
atmosphere that is in equilibrium with the food. The partial pressure of water vapour
g
a
of the food at a specific temperature is
(A) equal to the partial pressure of water vapour in air
m
(B) lesser than the partial pressure of water vapour in air
m
c. o(C) m.co
m
greater than the partial pressure of water vapour in air
s e
s e gl a
g la (D) not dependent on the partial pressure of water vapour in a
air
a
m .
.co s e m
s em l a
la
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Q.28 Air carrying dust particles enters a cyclone separator of 800 mm diameter at a
tangential velocity of 30 m.s−1 near the wall. The average diameter of the dust
particles is 100 µm. The separation factor is nearest to
(Take g = 9.81 m.s−2)
(A) 229.36
(B) 611.62
(C) 485.72
(D) 3.75
Q.29 A circular mild steel storage bin of 8 m height contains wheat having bulk density
of 800 kg.m−3. The coefficient of static friction between wheat grain and bin wall is
0.40 and hydraulic radius of the bin is 1 m. Equivalent diameter of the bin, in m, is
(A) 4
(B) 8
(C) 1
(D) 2
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Q.30 Specific heat, coefficient of viscosity, and thermal conductivity are related in the
m
.co
(A) Prandtl number
o m m
. c s e
(B)
m
Reynolds number
e l a
a s
l number ag
(C)
agFroude
(D) Biot number
m
m .co
Q.31
s e
Mechanical model/method NOT related to rheological behaviour of food products
is known as
g la
a
(A) Liebman’s method
(B) Newton’s model
m
m .co
.co
(C) Maxwell’s model
e m
e m l as
las (D) Saint-Venant’s model
ag
ag
m .
.co s e m
s em l a
la
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Q.32 At an initial pressure of 100 kPa, 1 kg air is compressed reversibly from 15 litres to
1 litre at final pressure of 2000 kPa. Neglecting other losses, the Polytropic
Exponent (n) is ________. (Rounded off to three decimal places)
Q.33 A tubewell operating 10 hours per day discharges water at a rate of 25 m 3.h−1. The
average irrigation depth is 80 mm, and irrigation interval is 20 days. If intensity of
irrigation is 80%, the culturable command area (in hectares) is ________. (Rounded
off to two decimal places)
Q.34 A tile drainage system having a drainage coefficient of 25 mm drains an area of
0.2 km2. The average discharge from the system (in m3.s−1) is ________. (Rounded
off to three decimal places)
Q.35 Impeller speed of a centrifugal pump is increased by 30%. The power requirement
of the pump increases by n times. The value of n is ________. (Rounded off to two
decimal places)
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Q.36 – Q.65 Carry TWO marks Each
Q.36 1 1
The value of the integral 𝐼 = ∫0 ∫0 𝑥 cos(𝑥𝑦) 𝑑𝑥𝑑𝑦 is
m
m .co
(A) 1 − cos(1)
.co s e m
s em l a
(B)
g acos(1)
1l+ ag
a
(C) 1 − sin(1)
(D) 1 + sin(1)
m
.co
s em
g la matrix is 1.6. If the sum of the eigen values is
−2.8, the eigen values are a
Q.37 The determinant of a 2 × 2 square
(A) −2 and − 0.8
m
m
(B) −1.8 and − 1
.co
m .co s e m
s e (C) −3 and 0.2
g l a
g la a
a (D) −1.2 and − 1.6
m .
.co s e m
s em l a
la
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Q.38 A flat belt of negligible mass and thickness drives an output pulley of 0.6 m
diameter, constantly rotating at 500 rpm without slip. The arc of contact is 190° for
this pulley, while it is 170° for the smaller input pulley. The coefficient of friction
between the belt and pulleys is 0.30. The measured slack-side tension is 250 N.
Neglecting other losses, the power transmitted by the belt drive, in kW, is nearest
to
(Take π = 3.14)
(A) 4.8
(B) 5.6
(C) 6.5
(D) 7.3
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Q.39 A tractor PTO runs at a constant speed of 540 rpm to drive a rotary tiller via flange
coupling having a shear pin parallel to the shaft. The shear pin axis is located at
60 mm from the PTO shaft axis. The allowable shear stress of the pin material is
200 MPa. For overload safety, it must fail at 150% of the rated torque to protect the
gearbox. The tiller requires 40 kW under normal load at rated PTO speed.
m
Neglecting bending, stress concentration effects, and other losses, the pin diameter,
.co
in mm, is nearest to
m
(Take π = 3.14)
m .co s e m
s e l a
g l a ag
a
(A) 7.5
(B) 10.6
(C) 6.1
m
m .co
e
(D) 8.6
las
ag
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Q.40 A small horizontal-axis wind turbine (HAWT) is being designed to deliver 2 kW
shaft power at a steady wind speed of 7 m.s−1. The HAWT operates with an
aerodynamic power coefficient of 0.36, drivetrain efficiency of 0.90, and air density
of 1.225 kg.m−3. Neglecting other losses, the required rotor diameter is X m.
When the wind speed drops to 6 m.s−1, the shaft power is Y kW. Identify the nearest
correct option for X and Y combination
(Take π = 3.14)
(A) X = 6.12 Y = 1.28
(B) X = 3.06 Y = 0.63
(C) X = 6.12 Y = 2.00
(D) X = 6.75 Y = 1.50
Q.41 The ratio of moisture content on wet basis to moisture content on dry basis for wheat
grain is 4:5. The ratio of weight of dry matter to weight of water in the grain is
(A) 4:1
(B) 4:5
(C) 1:4
(D) 5:4
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Q.42 A refrigeration system based on reverse Carnot cycle operates between −30 °C and
20 °C. The refrigeration capacity of the system is 70 kW. Heat rejected at the
condenser to atmosphere (hot reservoir), in kW, is nearest to
m
m .co
(A) 84.40
m .co s e m
s e l a
(B)
g l a
14.41 ag
a
(C) 186.67
(D) 116.67
o m
c
Q.43
m. . The
A 2 mm diameter electric wire is insulated
a thermal conductivity of 0.5 W.m e.K
with 2 mm thick plastic. The plastic has
s
−1 −1
wire is exposed to air at 320 K and
la coefficient is 25 W.m .K . Wire surface
temperature is constant at 420gK and remains unaffected by the covering. Assuming
outside convective heat transfer −2 −1
a
steady state heat transfer conditions, the ratio of heat loss per metre of wire length
with insulation to that without insulation is nearest to
(Take π = 3.14)
m
m
(A) 2.58
.co
m .co s e m
s e (B) 0.39
g l a
g la a
a (C) 1.87
(D) 0.54
m .
.co s e m
s em l a
la
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Q.44 In grinding of black pepper, 80% feed passes through 6 mm screen, and 80%
product passes through 0.5 mm screen. The gross energy required is 10 kW.h per
ton of material. Assuming Bond’s law holds good, and for the same feed conditions,
if 80% product passes through 0.2 mm screen, the energy required, in kW.h per ton
of material, is nearest to
(A) 18.17
(B) 9.09
(C) 5.50
(D) 11.00
Q.45 A single effect evaporator is used to concentrate orange fruit juice with 2.7:1
concentration ratio of product solid to feed solid. The juice is fed to the evaporator
at 100 kg.h−1 and 30 °C, where the product moisture evaporates at 60 °C. The
specific heat of juice is 3.9 kJ.kg−1.°C−1. The latent heat of vaporisation at 60 °C is
2450 kJ.kg−1. Heat to accomplish the evaporation, in MJ.h−1, is nearest to
(A) 165.96
(B) 117.06
(C) 154.26
(D) 142.56
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m .co
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Q.46 At 60 °C dry bulb temperature, saturated water vapour pressure is 20 kPa and
relative humidity is 20%. The corresponding absolute humidity of air at atmospheric
pressure is nearest to
(Take molecular weight of water = 18.02 g.mol–1, molecular weight of air = 28.97
g.mol–1, and atmospheric pressure = 101.325 kPa)
m
m .co
m .co s e m
s e l a
(A)
g l a
0.026 ag
a
(B) 0.032
(C) 0.004
(D) 0.041
m
.co
s em
la out either at 91 °C for 3 s or at 73 °C for 30 s
Pasteurisation of milk can begcarried
Q.47
a of microorganism(s). The sterilisation value is 10 in
to inactivate vegetative cells
both the cases. Thermal death time constant (z value) for reference temperatures of
73 °C and 91°C, in °C, is nearest to
(A) 18.0
m
m
c. o(B) m.co
m 1.8
s e
s e g l a
g la a
a (C) 9.0
(D) 0.9
m .
.co s e m
s em l a
la
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Q.48 Mass fractions of carbohydrate, protein, fat, ash, and water in banana are 0.220,
0.010, 0.005, 0.015, and 0.750, respectively. The density of carbohydrate, protein,
fat, ash, and water are 1550, 1220, 900, 610, and 1000 kg.m−3, respectively. The
density of banana, in kg.m−3, is nearest to
(A) 1116.85
(B) 1056.05
(C) 1000.00
(D) 1107.70
Q.49 The following two vectors are adjacent sides of a parallelogram:
𝐴⃗ = 2𝑖̂ + 3𝑗̂ − 𝑘̂ and 𝐵
⃗⃗ = 5𝑖̂ − 4𝑘̂
The magnitude of area of the parallelogram is ________ (Rounded off to two
decimal places)
Q.50 While solving an equation 𝑒 −𝑥 − 𝑥 = 0 for 𝑥, using Newton-Raphson method with
initial guess 𝑥0 = 2, the solution after first iteration (𝑥1 ) is ________ (Rounded off
to two decimal places)
Q.51 A four-cylinder four-stroke engine (100 mm bore and 120 mm stroke) runs at 1800
rpm mean speed with 0.9 MPa indicated mean effective pressure (IMEP). The
flywheel constant (ratio of the energy fluctuation to the indicated work per
crankshaft revolution) is 0.30. All other losses are neglected. For an allowable speed
fluctuation of ±1% about the mean, the required flywheel mass moment of inertia
(in kg.m2) is ________. (Rounded off to two decimal places)
(Take π = 3.14)
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Q.52 A 2WD tractor has to develop 30 kN gross tractive force at the ground. Rolling
radius of the rear-wheels is 0.73 m. Each rear-wheel is driven by a simple planetary
final-drive in which sun gear (26 teeth) is input, ring gear (78 teeth) is fixed, and
the carrier is bolted to rear-wheel hub. The sun-planet external mesh efficiency is
98.5%, while the planet-ring internal mesh efficiency is 99%. Losses upstream of
m
the final-drive are neglected. The required sun-shaft input torque per rear-wheel (in
.co
kN.m) is ________. (Rounded off to two decimal places)
m
.co s e m
s em g l a
Ala a
agnozzles
Q.53 tractor-mounted boom sprayer carries a horizontal row of 12 identical flat-fan
(spray angle 110°). To achieve uniform coverage, the required lateral
overlap between adjacent nozzle footprints at the target plane is 30% of single
nozzle footprint. Boom height is 0.60 m above the target plane.
The tractor is set to travel at a theoretical forward speed of 8 km.h−1. Wheel slip is
8% and the field efficiency is 75%. All other losses are neglected. The total time (in
minutes) required to spray 25 ha field is ________. (Rounded off to the nearest
integer)
m
m .co
s e
Q.54
la
A stationary Ackerman-steer tractor on dry, clean concrete surface carries 12 kN
g
a
vertical load on each front steered wheel of 0.28 m nominal tyre width (b). Assume
uniform pressure distribution on the circular tyre-print area having diameter b.
Effective friction coefficient between tyre and surface is 0.30.
The steering is individually power-assisted by a single-rod hydraulic cylinder,
acting through a pitman arm resulting in 60 mm effective moment arm. The
hydraulic relief valve is set to 8 MPa, and the cylinder bore is 32 mm (ignore rod
area). Neglect other losses. The maximum kingpin offset (in mm), which does not
cause to exceed the maximum allowable kingpin torque is ________. (Rounded off
m
.co
to the nearest integer)
m
m .co (Take π = 3.14)
s e m
s e g l a
g la a
a Q.55 A 8 × 20 cm seed drill has 0.60 m diameter ground wheel. On a hard-surface
calibration stand, the drill delivers 814 g of seeds in 30 wheel revolutions. When
operated in a field having soft soil, the wheel’s effective rolling circumference
reduces by 4%. Neglecting other losses, the actual-field seed application rate (in
kg.ha−1) is ________. (Rounded off to two decimal places)
(Take π = 3.14)
m .
.co s e m
s em l a
la
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Q.56 A tractor PTO shaft, through a spur-gear reduction, drives a small grain auger at
540 rpm. The driving gear on the PTO shaft has 0.18 m pitch circle diameter. The
auger requires 3.5 kW, transmitted through this gear. Normal force along the line
of action between the meshing teeth is 760 N. Assume involute spur gears, single
tooth contact, and neglect friction. The pressure angle (in degrees) is ________.
(Rounded off to two decimal places)
(Take π = 3.14)
Q.57 A homogeneous earthen embankment has an upstream water level of 12 m. The top
width of the embankment is 3 m, and its upstream and downstream slopes
(horizontal: vertical) are 2:1 and 2.5:1, respectively. A freeboard of 2 m is provided.
The coefficient of permeability of the fill material is 2.5 × 10−5 m.s−1. If a 20 m
long horizontal filter is placed inward from the downstream toe, the seepage
discharge per unit length of the embankment is n × 10−5 m3.s−1.m−1. The value of n
is ________. (Rounded off to two decimal places)
Q.58 A 0.80 km2 agricultural watershed has a slope of 0.30% and the maximum length
of travel of water is 1 km. The 10-year maximum depth of rainfall is tabulated
below:
Duration (minutes) 5 10 20 30 40 60
Maximum depth of 16 24 39 50 60 65
rainfall (mm)
Half of the watershed has row crops (runoff coefficient = 0.40), whilst the other half
of the watershed has pasture (runoff coefficient = 0.35). The peak flow rate for the
watershed (in m3.s−1) for the 10-year return period is ________. (Rounded off to two
decimal places)
Q.59 Two catchments M and N are meteorologically similar. The basin length (L), length
to the centroid (Lca), and the drainage area (A) of catchment M are 36 km, 18 km,
and 250 km2, respectively. The L, Lca and A for catchment N are 50 km, 30 km, and
400 km2, respectively.
For 6-h unit hydrograph in catchment M, the peak discharge of 50 m3.s−1 occurs at
12 h from the beginning of the rainfall excess. Using Snyder’s method, the peak of
the 6-h unit hydrograph for catchment N (in m3.s−1) is ________. (Rounded off to
two decimal places)
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Q.60 Two rectangular channels, A and B, join to form a large rectangular channel, C.
Each rectangular channel is lined with the same material and has the same bottom
slope. The bottom widths of Channels A and B are 2 m and 1 m, respectively. If the
flow depth in each channel is 2 m, the bottom width of Channel C (in m) is
________. (Rounded off to two decimal places)
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.co
Q.61 A well fully penetrates a 30 m thick confined aquifer. After a long period of
pumping at a constant rate of 0.06 m3.s−1, drawdowns of 3.6 m and 2.0 m are found
e m
e m
at distances 60 m and 120 m away from the well, respectively. The hydraulic
l as
as
conductivity of the aquifer is n × 10−4 m.s−1 . The value of n is ________ (Rounded
l ag
ag off to two decimal places)
Q.62 Bench terraces are planned on 15% hill slope. The vertical interval is 2.5 m, and the
riser has a slope of 1:1. The earthwork in cutting is equal to the earthwork in filling.
The volume of earthwork per hectare (in m3.ha−1) is ________ (Rounded off to the
nearest integer)
m
Q.63 An undisturbed soil sample is collected from a field with core cylinder having an
.co
internal diameter of 60 mm and length of 100 mm. The weights of moist soil and
m
oven dried soil are 0.48 kg and 0.44 kg, respectively. Assuming density of water as
e
1000 kg.m−3, the water depth (in metres per metre depth of soil) is ________
s
(Rounded off to two decimal places)
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Q.64 The crop period is divided into four stages, initial, grand growth, mid-season, and
late-season, with each stage spanning 25 days. The crop coefficient varies linearly
from 0.4 at initial stage to 1.2 at mid-season stage. The reference crop
evapotranspiration on 40th day is 8 mm. The corresponding actual crop
evapotranspiration (in mm) is ________ (Rounded off to two decimal places)
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Q.65 Uniformity of irrigation is checked in a border strip by measuring water penetration
m depth at 16 equally spaced stations along a border strip. The depths of penetration
m .co of water recorded in mm are as follows:
s e m
s e 0.65, 0.83, 0.79, 0.87,
g l a
g la a
a 0.67, 0.85, 0.86, 0.68,
0.88, 0.77, 0.73, 0.59,
0.89, 0.63, 0.72, 0.70
The distribution uniformity low-quarter (DULQ) (in fraction) is ________
(Rounded off to two decimal places)
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