Machine-translated by Google. Questions are authored in English.
Top

GATE AG 2025: Agricultural Engineering

  • Paper code: AG
  • Language: English
  • 32 pages
GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 1 of 32
Page 1 of 32
Text of page 1
Agricultural Engineering (AG)



General Aptitude
Q.1 – Q.5 Carry ONE mark Each

 Q.1      Ravi had ______ younger brother who taught at ______ university. He was widely
          regarded as ______ honorable man.

          Select the option with the correct sequence of articles to fill in the blanks.




 (A)      a; a; an


 (B)      the; an; a


 (C)      a; an; a


 (D)      an; an; a




Organizing Institute: IIT Roorkee        Page 1 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 2 of 32
Page 2 of 32
Text of page 2
Agricultural Engineering (AG)




 Q.2      The CEO’s decision to downsize the workforce was considered myopic because it
          sacrificed long-term stability to accommodate short-term gains.

          Select the most appropriate option that can replace the word “myopic” without
          changing the meaning of the sentence.




 (A)      visionary


 (B)      shortsighted


 (C)      progressive


 (D)      innovative




Organizing Institute: IIT Roorkee    Page 2 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 3 of 32
Page 3 of 32
Text of page 3
Agricultural Engineering (AG)




 Q.3      The average marks obtained by a class in an examination were calculated as 30.8.
          However, while checking the marks entered, the teacher found that the marks of one
          student were entered incorrectly as 24 instead of 42. After correcting the marks, the
          average becomes 31.4. How many students does the class have?




 (A)      25


 (B)      28


 (C)      30


 (D)      32




Organizing Institute: IIT Roorkee       Page 3 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 4 of 32
Page 4 of 32
Text of page 4
Agricultural Engineering (AG)




 Q.4      Consider the relationships among P, Q, R, S, and T:

                  •   P is the brother of Q.
                  •   S is the daughter of Q.
                  •   T is the sister of S.
                  •   R is the mother of Q.

          The following statements are made based on the relationships given above.

                 (1) R is the grandmother of S.

                 (2) P is the uncle of S and T.

                 (3) R has only one son.

                 (4) Q has only one daughter.

          Which one of the following options is correct?




 (A)      Both (1) and (2) are true.


 (B)      Both (1) and (3) are true.


 (C)      Only (3) is true.


 (D)      Only (4) is true.




Organizing Institute: IIT Roorkee        Page 4 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 5 of 32
Page 5 of 32
Text of page 5
Agricultural Engineering (AG)




 Q.5      According to the map shown in the figure, which one of the following statements is
          correct?

          Note: The figure shown is representative.




                                            1st Main Road
                            Library                         Canteen


                         Physics Lab                        Hospital


                        5th Cross Road


                            Hostels                         Chemistry
                                                              Lab
                                                                             N
                          Classrooms
                                                                       W          E

                                                                             S


 (A)      The library is located to the northwest of the canteen.


 (B)      The hospital is located to the east of the chemistry lab.


 (C)      The chemistry lab is to the southeast of physics lab.


 (D)      The classrooms and canteen are next to each other.




Organizing Institute: IIT Roorkee        Page 5 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 6 of 32
Page 6 of 32
Text of page 6
Agricultural Engineering (AG)




Q.6 – Q.10 Carry TWO marks Each

 Q.6      “I put the brown paper in my pocket along with the chalks, and possibly other things.
          I suppose every one must have reflected how primeval and how poetical are the
          things that one carries in one’s pocket: the pocket-knife, for instance the type of all
          human tools, the infant of the sword. Once I planned to write a book of poems
          entirely about the things in my pocket. But I found it would be too long: and the age
          of the great epics is past.”

                                                (From G.K. Chesterton’s “A Piece of Chalk”)

          Based only on the information provided in the above passage, which one of the
          following statements is true?




 (A)      The author of the passage carries a mirror in his pocket to reflect upon things.


 (B)      The author of the passage had decided to write a poem on epics.


 (C)      The pocket-knife is described as the infant of the sword.


 (D)      Epics are described as too inconvenient to write.




Organizing Institute: IIT Roorkee        Page 6 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 7 of 32
Page 7 of 32
Text of page 7
Agricultural Engineering (AG)




 Q.7      In the diagram, the lines QR and ST are parallel to each other. The shortest distance
          between these two lines is half the shortest distance between the point P and line
          QR. What is the ratio of the area of the triangle PST to the area of the trapezium
          SQRT?

          Note: The figure shown is representative.

                                                 P



                                     S                  T



                               Q                            R


 (A)      1
          3

 (B)      1
          4

 (C)      2
          5

 (D)      1
          2




Organizing Institute: IIT Roorkee        Page 7 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 8 of 32
Page 8 of 32
Text of page 8
Agricultural Engineering (AG)




 Q.8      A fair six-faced dice, with the faces labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, is rolled
          thrice. What is the probability of rolling ‘6’ exactly once?




 (A)      75
          216

 (B)      1
          6

 (C)       1
          18

 (D)      25
          216




Organizing Institute: IIT Roorkee         Page 8 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 9 of 32
Page 9 of 32
Text of page 9
Agricultural Engineering (AG)




 Q.9      A square paper, shown in figure (I), is folded along the dotted lines as shown in the
          figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one
          of the following patterns will be obtained when the paper is unfolded?

          Note: The figures shown are representative.




                 (I)                (II)                  (III)             (IV)

 (A)




 (B)




 (C)




 (D)




Organizing Institute: IIT Roorkee          Page 9 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 10 of 32
Page 10 of 32
Text of page 10
Agricultural Engineering (AG)




 Q.10     A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops
          of any flavor. The order in which the scoops are purchased is inconsequential.
          If one wants to purchase 3 scoops of ice-cream, in how many ways can one make
          that purchase?




 (A)      4


 (B)      20


 (C)      24


 (D)      48




Organizing Institute: IIT Roorkee      Page 10 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 11 of 32
Page 11 of 32
Text of page 11
Agricultural Engineering (AG)



Q.11 – Q.35 Carry ONE mark Each


          If a, b, and c are the roots of 2x 3 − 3x 2 + px − 1 = 0 and sum of the two roots is
 Q.11     1, the value of p is:




 (A)      2


 (B)      1


 (C)      3


 (D)      1
          3




 Q.12                    x     −3
          If the matrix [         ] is singular, sum of the values of x is:
                          2   x−5




 (A)      5


 (B)      6


 (C)      0


 (D)      −1




Organizing Institute: IIT Roorkee         Page 11 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 12 of 32
Page 12 of 32
Text of page 12
Agricultural Engineering (AG)




 Q.13        s
                    is the Laplace transform of :
          s2 +a2




 (A)      cos at


 (B)      sin at


 (C)      sinh at


 (D)      cosh at




 Q.14     y ′′ + p(x)y ′ + q(x)y = r(x) is a ________ ordinary differential equation.




 (A)      second order, nonhomogeneous, and linear


 (B)      second order, homogeneous, and linear


 (C)      second order, homogeneous, and nonlinear


 (D)      first order, nonhomogeneous, and linear




Organizing Institute: IIT Roorkee         Page 12 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 13 of 32
Page 13 of 32
Text of page 13
Agricultural Engineering (AG)




 Q. 15    The median of the following set of numbers: 154, 130, 144, 137, 156, 146, 138,
          149, 160, 138 is:




 (A)      145.0


 (B)      145.2


 (C)      151.0


 (D)      146.0




 Q.16     Which of the following method is used for the geophysical exploration of
          groundwater:




 (A)      Electric Resistivity method


 (B)      Test Boring method


 (C)      Tracer method


 (D)      Remediation method




Organizing Institute: IIT Roorkee       Page 13 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 14 of 32
Page 14 of 32
Text of page 14
Agricultural Engineering (AG)




 Q.17     Identify the correct statement related to tape correction in chain surveying:




 (A)      Wrong alignment correction is always positive.


 (B)      Sag correction is always negative.


 (C)      Slope of tape correction is always positive.


 (D)      Temperature correction is always negative.




 Q.18     The sphericity of a cylindrical potato sample having diameter of 1.0 cm and length
          of 5.0 cm is closest to:




 (A)      0.98


 (B)      0.70


 (C)      0.31


 (D)      0.17




Organizing Institute: IIT Roorkee        Page 14 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 15 of 32
Page 15 of 32
Text of page 15
Agricultural Engineering (AG)




 Q.19     The condition of refrigerant at the exit of the compressor in a vapor compression
          refrigeration system is:




 (A)      Saturated liquid


 (B)      Wet vapor


 (C)      Dry saturated vapor


 (D)      Superheated vapor




 Q.20     While sowing mustard seeds (bulk density = 800 kg.m-3), a four-row fluted roller
          type seed drill with 25 cm row spacing operates at a speed of 2.5 km.h-1. For a
          desired seed rate of 5.0 kg.ha-1, the flowrate of seeds from the machine in m3.h-1 is:




 (A)      0.391 × 10₋3


 (B)      1.172 × 10₋3


 (C)      1.563 × 10₋3


 (D)      1.953 × 10₋3




Organizing Institute: IIT Roorkee        Page 15 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 16 of 32
Page 16 of 32
Text of page 16
Agricultural Engineering (AG)




 Q.21     By tripling the RMS sound pressure, the resulting increase in the sound pressure
          level in dB is closest to:




 (A)      9.54


 (B)      6.02


 (C)      4.77


 (D)      3.01




 Q.22     While studying vertical motion imparted to the base of tractor seat, θ (radian) is
          considered as rotation about tractor’s CG and R is considered as longitudinal
          distance from operator’s seat to the tractor’s CG. For a small value of θ, the term
          ‘Rθ’ represents the vertical motion resulting from tractor’s ____________.




 (A)      pitch motion


 (B)      roll motion


 (C)      yaw motion


 (D)      lateral motion




Organizing Institute: IIT Roorkee       Page 16 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 17 of 32
Page 17 of 32
Text of page 17
Agricultural Engineering (AG)




 Q. 23    In rice milling, the rubber roll sheller is used for:




 (A)      Separating paddy from brown rice


 (B)      Removal of bran adhering to rice kernels


 (C)      Separating husk layer from paddy grains


 (D)      Removal of husk layer from white rice




 Q. 24    In general, result(s) of blanching fresh fruits and vegetables is/are:




 (A)      Complete elimination of microorganisms


 (B)      Removal of entrapped air pockets between plant tissues


 (C)      Leaching of nutrients


 (D)      Inactivation of enzymes




Organizing Institute: IIT Roorkee         Page 17 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 18 of 32
Page 18 of 32
Text of page 18
Agricultural Engineering (AG)




 Q.25     Identify the adverse effect(s) due to soil salinity or alkalinity or both:




 (A)      Low yields of crops


 (B)      Increased infiltration leading to waterlogging


 (C)      Poor quality of fodder


 (D)      Limited type of crops can be grown




Organizing Institute: IIT Roorkee         Page 18 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 19 of 32
Page 19 of 32
Text of page 19
Agricultural Engineering (AG)




 Q.26     Match the terms in Column I with the suitable hydrometeorological variables in
          Column II.




                             Column I                     Column II


                        P     Isopleth          1    Rainfall


                        Q     Isobath           2    Pressure


                        R     Isohyet           3    Evapotranspiration


                        S     Isochrone         4    Groundwater


                        T     Isobar            5    Surface runoff




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


 (B)      P-5, Q-4, R-1, S-3, T-2


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


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




Organizing Institute: IIT Roorkee         Page 19 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 20 of 32
Page 20 of 32
Text of page 20
Agricultural Engineering (AG)




 Q.27     Identify correct statement(s) for sprinkler irrigation:




 (A)      Excessive topsoil erosion is involved.


 (B)      Fertilizer can be applied with water.


 (C)      No excess cost of land preparation is involved.


 (D)      Evapotranspiration loss is minimum.




 Q.28     Which of the following method(s) is/are generally used in spark ignition engines
          for evaluating volatility?




 (A)      Distillation test


 (B)      Motor method


 (C)      Pensky Martens closed tester


 (D)      Reid vapor pressure test




 Q.29     The nominal radius of the rear wheels of a 2WD tractor is 0.5 m. The rolling radius
          of the tire is 6% less than the nominal radius. While conducting a field test, if the
          actual distance covered for 20 revolutions of the rear wheel is found to be 56 m, the
          rear wheel slip is _________%. (Rounded off to 2 decimal places)




Organizing Institute: IIT Roorkee        Page 20 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 21 of 32
Page 21 of 32
Text of page 21
Agricultural Engineering (AG)




 Q.30     Front wheel pivot points of a 2WD tractor are 1.2 m apart. When making turn on a
          flat concrete surface, the inner front wheel makes 50o and the outer front wheel
          makes 35o steering angles. To ensure turning without front wheel skid, the wheel
          base of the tractor should be __________ m. (Rounded off to 2 decimal places)




 Q.31     An unconfined aquifer having a hydraulic conductivity of 12 m.day-1 covers an area
          of 1.0 ha. When this aquifer is pumped, it releases 6000 m3 of water and the water
          table drops from 3 m to 7 m below the ground level. The specific yield of the aquifer
          is _________ %. (Answer in integer)




 Q.32     Apple slices are dried from a moisture content of 65% (dry basis) to 10% (dry basis)
          in a hybrid solar dryer under falling rate period. The apple slices have a drying rate
                        1
          constant of       minute-1. Considering an equilibrium moisture content of 2% (dry
                       104
          basis), the time required for drying is _______ minutes. (Rounded off to 2 decimal
          places)




 Q.33     The quantity of water needed to increase the moisture content of 50 kg paddy grains
          from 13% (dry basis) to 35% (dry basis) in the hydrothermal treatment process is
          ________ kg. (Rounded off to 2 decimal places)




 Q.34     Considering acceleration due to gravity as 9.81 m.s-2 and π as 3.14, the critical speed
          of a ball mill having 3600 mm mill diameter and 160 mm ball diameter is
          _________ rpm. (Answer in integer)




Organizing Institute: IIT Roorkee        Page 21 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 22 of 32
Page 22 of 32
Text of page 22
Agricultural Engineering (AG)




 Q.35     Three straight metal wires, AC, BC and CD, having same length, diameter and
          thermal conductivity are connected as shown in the figure. Heat flows from points
          ‘A’ and ‘B’ to point ‘C’ and from point ‘C’ to ‘D’. Temperatures at points A, B and
          D are 100 °C, 100 °C and 40 °C, respectively. Assuming steady-state condition and
          no heat loss from the wires, the temperature at point ‘C’ is _______ °C. (Answer in
          integer)




Q.36 – Q.65 Carry TWO marks each

 Q.36   The series

        ∑rn=0 q n = 1 + q + q 2 + ⋯ ⋯ ⋯ has the sum:




 (A)     1   q r+1
           −
        1−q 1−q


 (B)     1   q r+1
           +
        q−1 q−1


 (C)     1   q r+1
           +
        1−q 1−q


 (D)     1
        q−1




Organizing Institute: IIT Roorkee       Page 22 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 23 of 32
Page 23 of 32
Text of page 23
Agricultural Engineering (AG)




 Q.37                       x cos x−sin x
        The value of lim                    is:
                      x→0     x 2 sin x




 (A)        1
        −
            3

 (B)    1
        3

 (C)    3


 (D)    −3




 Q.38                                               ∂u     ∂u   −1
        If u = x 4 + y 4 + 3x 2 y 2 , the value of (x ∂x + y ∂y ) is:




 (A)    4u


 (B)    0


 (C)     1
        4u

 (D)    2u




Organizing Institute: IIT Roorkee         Page 23 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 24 of 32
Page 24 of 32
Text of page 24
Agricultural Engineering (AG)




 Q.39   Steady flow condition in a confined aquifer occurs when:




 (A)    the rate of recharge is more than the rate of groundwater discharge.


 (B)    the rate of recharge is equal to the rate of groundwater discharge.


 (C)    the rate of recharge is less than the rate of groundwater discharge.


 (D)    the pumping rate is more than the safe yield of the aquifer.




 Q.40   Lysimeter is an instrument used to measure the following process(es):




 (A)    Evaporation


 (B)    Infiltration


 (C)    Evapotranspiration


 (D)    Deep percolation




Organizing Institute: IIT Roorkee       Page 24 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 25 of 32
Page 25 of 32
Text of page 25
Agricultural Engineering (AG)




 Q.41   The assumption(s) which is/are not correct for deriving the Plank’s equation for
        estimation of food freezing time:




 (A)    Ice front moves from the freezing medium into the food block at a uniform rate.


 (B)    Physical property data of food material are accurate.


 (C)    Initially the whole food material is at a distinct freezing point.


 (D)    Sensible heat changes during the freezing process are sufficiently high.




Organizing Institute: IIT Roorkee        Page 25 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 26 of 32
Page 26 of 32
Text of page 26
Agricultural Engineering (AG)




 Q.42   Match the following psychrometric processes (Column I) with the respective
        changes in thermodynamic properties (Column II) of air-water vapor mixture:




                        Column I                              Column II


           1 Sensible cooling                  P     Dry bulb temperature increases and
                                                     dew point temperature decreases


           2 Cooling and dehumidification      Q Dry bulb temperature increases and
                                                 dew point temperature increases


           3 Chemical dehumidification         R Dry bulb temperature decreases and
                                                 dew point temperature remains
                                                 constant


           4 Heating and humidification        S     Dry bulb temperature decreases and
                                                     dew point temperature decreases




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


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


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


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




Organizing Institute: IIT Roorkee    Page 26 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 27 of 32
Page 27 of 32
Text of page 27
Agricultural Engineering (AG)




 Q.43   The value of y at x = 0.3 and y(x = 0) = 0 for the differential equation
        dy
              = 3y + 2e x is ____________. (Rounded off to 3 decimal places)
         dx




 Q.44   A flat plate solar collector located at Bhopal (23o15ˊN, 77o42ˊE) is tilted at an angle
        of 30o with the horizontal and facing due South. Considering hour angle as 45o, the
        angle made by the beam radiation with normal to the collector plate on June 30, 2023
        at 3:00 PM (Local Apparent Time) is _____ degree. (Rounded off to 2 decimal
        places)




 Q.45   A six-stage centrifugal pump delivers water at the rate of 150 L.s-1 against a net
        pressure rise of 5003 kN.m-2. The pump impeller rotates at 1450 rpm. If the
        acceleration due to gravity is 9.81 m.s-2, the specific speed of the pump is
        ___________. (Answer in integer)




 Q.46   Water flows through a 90° V-notch weir having a discharge coefficient of 0.6. If the
        depth of water above the notch is 49 cm and the acceleration due to gravity is
        9.81 m.s-2, the discharge over the notch is __________ m3.s-1. (Rounded off to 2
        decimal places)




 Q.47   The volume and voids ratio of an undisturbed soil sample are 100 cm3 and 0.60,
        respectively. After oven drying, the mass of this sample is reduced from 185 g to
        165 g without any shrinkage in the volume. If the specific gravity of this sample is
        2.64, the degree of saturation of this soil is _________ %. (Rounded off to 2 decimal
        places)




Organizing Institute: IIT Roorkee       Page 27 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 28 of 32
Page 28 of 32
Text of page 28
Agricultural Engineering (AG)




 Q.48   A 10 ha watershed experiences a rainfall of 15 mm, evapotranspiration of 5 mm,
        infiltration of 4.5 mm, deep percolation of 2.2 mm, detention storage of 0.5 mm, and
        other abstraction losses of 0.3 mm during the storm event. Neglecting other surface
        storages, the total overland flow generated from the watershed due to this storm event
        is _________ m3. (Answer in integer)




 Q.49   To protect a wheat field from wind erosion, windbreaks of 2.7 m height are provided.
        The actual wind velocity at 15 m height perpendicular to the wind barrier is 9 m.s-1
        and the minimum wind velocity at 15 m height required to move the most erodible
        soil fraction is 9.6 m.s-1. The distance of full protection from this windbreak is
        __________m. (Rounded off to 2 decimal places)




 Q.50   A stable drop structure is designed with a base length of 5.7 m. The sum of vertical
        forces excluding uplift is 92.5 kN, sum of uplift forces is 72.5 kN, and sum of
        moments of all the horizontal and vertical forces about an axis passing through
        mid-section of base length is 60 kN.m. The eccentricity denoting the longitudinal
        distance between the centroid of base area and the point of application of resultant
        vertical load is _______ m. (Rounded off to 2 decimal places)




 Q.51   An 8 ha watershed receives rainfall intensities of 2.5, 3.6, 5.4, 3.3, 2.6 and
        1.2 cm.h-1 at the successive interval of 30 minutes. The corresponding surface runoff
        volume is estimated to be 4800 m3. Neglecting initial abstraction losses, the W-index
        for this watershed is _______ cm.h-1. (Rounded off to 2 decimal places)




 Q.52   A four-stroke diesel engine has a displacement volume of 6.0 L and it operates at
        2300 rpm with 75% mechanical efficiency. The indicated mean effective pressure is
        800 kPa. If the engine has brake-specific fuel consumption of 320 g.h-1.kW-1,
        considering calorific value of the fuel as 44.6 MJ.kg-1, the fuel equivalent power is
        ________ kW. (Rounded off to 2 decimal places)




Organizing Institute: IIT Roorkee      Page 28 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 29 of 32
Page 29 of 32
Text of page 29
Agricultural Engineering (AG)




 Q.53   An engine’s torque-speed characteristics is given below:

        TmaxP = 125 N.m                NmaxP = 2400 rpm       NHI = 2600 rpm
        Tmax = 160 N.m                 NmaxT = 1450 rpm

        where,

        TmaxP = torque at maximum power
        Tmax = maximum torque
        NmaxP = speed at maximum power
        NmaxT = speed at maximum torque
        NHI = speed at high idle
        The Governor’s regulation is ___________ %. (Rounded off to 2 decimal places)




 Q.54   An engine, running at 1200 rpm, drives a 1.2 m diameter rigid wheel on a
        non-deformable surface at 5 km.h-1 forward speed. The power is transmitted from
        engine to the wheel through a transmission gear box (gear ratio = 3:1), a differential
        (gear ratio = 4:1), and a final drive (gear ratio = n:1). Neglecting the deformation of
        the wheel and wheel slip, the value of n is ________. (Rounded off to 2 decimal
        places)




 Q.55   A solid round uniform diameter shaft is transmitting 25 kW power at 540 rpm. The
        maximum allowable shear stress of the shaft material is 35 MPa. If the maximum
        torque exceeds the mean torque by 20%, neglecting the bending effect, the minimum
        shaft diameter is __________ mm. (Rounded off to 2 decimal places)




 Q.56   The height of CG of a 4WD tractor with equal tread (1.25 m) in front and rear is
        0.85 m. The tractor overturns during turning at a speed of 18 km.h-1. Neglecting the
        frictional forces on the tractor wheels, the turning radius is ________m. (Rounded
        off to 2 decimal places)




Organizing Institute: IIT Roorkee       Page 29 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 30 of 32
Page 30 of 32
Text of page 30
Agricultural Engineering (AG)




 Q.57   A horizontal axis wind turbine with 24 m diameter blades, running with an average
        wind velocity of 6.0 m.s-1, is used for pumping irrigation water. The average air
        density is 1.23 kg.m-3. Considering coefficient of power as 0.3, transmission
        efficiency as 90%, pump efficiency as 60%, acceleration due to gravity as
        9.81 m.s-2 and density of water as 1000 kg.m-3, the discharge of the pump for a total
        head of 20 m is__________ L.s-1. (Rounded off to 2 decimal places)




 Q.58   A mouldboard plough is operated by a 2WD tractor with 6.0 kN pull. The ratio of
        lateral component to the longitudinal component of soil forces is 0.30, and the ratio
        of the vertical component to the longitudinal component of soil forces is 0.50. If
        diameter of the driving wheels is 1.2 m and the rear axle rotates at 10 rpm, the
        drawbar power produced at 20% wheel slip is_________ kW.
        (Rounded off to 2 decimal places)




 Q.59   For a right-hand offset disc harrow, the longitudinal distance from the hitch point to
        the centers of the front and rear gangs are 2.5 m and 4.5 m, respectively. The resultant
        horizontal soil forces in longitudinal direction on the front and rear gangs are 3.0 kN
        and 3.5 kN, respectively; while the resultant horizontal soil forces in lateral directions
        are 2.5 kN and 4.0 kN, respectively. Considering the resultant soil forces acting at
        the centers of front and rear gangs, the amount of offset of the center of cut with
        respect to the hitch point is _________ m. (Rounded off to 2 decimal places)




 Q.60   Locust beans having average particle diameter of 7 mm are ground at a rate of
        10 ton.h-1 to produce average particle diameter of 0.62 mm. The mill consumes
        6.7 kW power at the given rate. For the same rate of grinding, using Rittinger’s law,
        the power required to grind the beans to an average particle diameter of 0.25 mm is
        _________ kW. (Rounded off to 2 decimal places)




Organizing Institute: IIT Roorkee        Page 30 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 31 of 32
Page 31 of 32
Text of page 31
Agricultural Engineering (AG)




 Q.61   A mixture of Nitrogen (N2) and Helium (He) gases is contained in a pipe at 1.0 atm
        pressure and at 298 K. At one point in the pipe, the partial pressure of N2 is 60.80
        kPa and at a point 0.22 m apart, the partial pressure of N2 is 20.31 kPa. The diffusion
        coefficient of the mixture is 0.612×10-4 m2.s-1. Considering Universal gas constant
        as 8314 m3.Pa.kg mol-1.K-1, the steady-state flux of N2 is n×10-6 kg mol.s-1.m-2. The
        value of n is ________. (Rounded off to 2 decimal places)




 Q.62   Milk enters at 25 °C through inner pipe of a concentric double pipe heat exchanger.
        Hot water enters at 82.5 °C and flows countercurrently (flow rate = 1.2 kg.s-1)
        through the annular region. The diameter of inner pipe, length of the pipe and average
        overall heat transfer coefficient are 60 mm, 6 m, and 2100 W.m-2.K-1, respectively.
        The average values of specific heat capacity of water and milk are 4.18 kJ.kg-1.K-1
        and 3.95 kJ.kg-1.K-1, respectively. The effectiveness of the heat exchanger is 0.572
        and the NTU is 1.01. Assuming the steady-state condition and considering π as 3.14,
        the temperature of hot water at exit of the pipe is _________ oC. (Rounded off to 1
        decimal place)




 Q.63   In an inoculated pack study, 0.5 kg peas per can are thermally processed at 121 °C.
        One group of cans contain Clostridium spp. spores with initial spore level of
        5 × 1010 per can. Another group of cans contain Bacillus spp. spores. It is desired to
        have spoilage probability of 5 in 100 cans after thermal processing. The decimal
        reduction time of Clostridium spp. and Bacillus spp. at 121 °C are 2.5 minutes and
        6.0 minutes, respectively. If all the cans receive same lethality, the initial number of
        spores of Bacillus spp. per g of peas is ___________. (Answer in integer)




 Q.64   Apple juice (viscosity = 1.6 cP) is being filtered through a 2 m2 filter under a constant
        pressure. The juice has solid concentration of 0.04 g.mL-1 in filtrate. The total
        pressure drop is 325.33 kPa. The values of cake and filter medium resistance are
        1.85×1011 m.kg-1 and 3.50×1011 m-1, respectively. The time required to filter
        800 litres of juice is ________ hour. (Answer in integer)




Organizing Institute: IIT Roorkee        Page 31 of 32

GATE AG 2025 question paper, GATE 2025, Agricultural Engineering, page 32 of 32
Page 32 of 32
Text of page 32
Agricultural Engineering (AG)




 Q.65   A cylindrical concrete silo of 6 m internal diameter and 24 m height is filled with
        rough rice having bulk density of 635 kg.m-3. The angle of friction between concrete
        wall and rough rice is 30°. The ratio between lateral and vertical pressure is 0.4. The
        ratio of lateral pressure at 10 m depth to the 5 m depth is _________. (Rounded off
        to 2 decimal places)




Organizing Institute: IIT Roorkee       Page 32 of 32

Page 1 of 32

Source: GATE. Question paper published by GATE.