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General Aptitude(10)Engineering Mathematics(9)Farm Machinery(4)Farm Power(11)Soil and Water Conservation Engineering(9)Irrigation and Drainage Engineering(6)Agricultural Process Engineering(9)Dairy and Food Engineering(7)

General Aptitude

10 Questions

GATE→2025→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

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

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q2

MCQ[1 Mark]

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

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

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

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

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.

Explanation

GATE→2025→General Aptitude→Data Interpretation

Q5

MCQ[1 Mark]

According to the map shown in the figure, which one of the following statements is correct? Note: The figure shown is representative.

(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.

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Based only on the information provided in the above passage (G.K. Chesterton's "A Piece of Chalk"), 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.

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

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?

(A)

\frac{1}{3}

(B)

\frac{1}{4}

(C)

\frac{2}{5}

(D)

\frac{1}{2}

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

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)

\frac{75}{216}

(B)

\frac{1}{6}

(C)

\frac{1}{18}

(D)

\frac{25}{216}

Explanation

GATE→2025→General Aptitude→Data Interpretation

Q9

MCQ[2 Marks]

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.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

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

Explanation

Engineering Mathematics

9 Questions

GATE→2025→Engineering Mathematics→Linear Algebra

Q11

MCQ[1 Mark]

If $a, b,$ and $c$ are the roots of $2x^{3}-3x^{2}+px-1=0$ and sum of the two roots is 1, the value of $p$ is:

(A)

2

(B)

1

(C)

3

(D)

\frac{1}{3}

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra

Q12

MCQ[1 Mark]

If the matrix $\begin{bmatrix} x & -3 \\ 2 & x-5 \end{bmatrix}$ is singular, sum of the values of $x$ is:

(A)

5

(B)

0

(C)

-1

(D)

2

Explanation

GATE→2025→Engineering Mathematics→Differential Equations

Q13

MCQ[1 Mark]

$\frac{s}{s^{2}+a^{2}}$ is the Laplace transform of:

(A)

cos at

(B)

sin at

(C)

sinh at

(D)

cosh at

Explanation

GATE→2025→Engineering Mathematics→Differential Equations

Q14

MCQ[1 Mark]

$y^{\prime\prime}+p(x)y^{\prime}+q(x)y=r(x)$ 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

Explanation

GATE→2025→Engineering Mathematics→Probability and Statistics

Q15

MCQ[1 Mark]

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

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q16

MCQ[2 Marks]

The series $\sum_{n=0}^{r}q^{n}=1+q+q^{2}+...$ has the sum:

(A)

\frac{1}{1-q}-\frac{q^{r+1}}{1-q}

(B)

\frac{1}{q-1}+\frac{q^{r+1}}{q-1}

(C)

\frac{1}{1-q}+\frac{q^{r+1}}{1-q}

(D)

\frac{1}{q-1}

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q17

MCQ[2 Marks]

The value of $\lim_{x\rightarrow0}\frac{x~\cos~x-\sin~x}{x^{2}\sin~x}$ is:

(A)

-\frac{1}{3}

(B)

\frac{1}{3}

(C)

3

(D)

-3

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q18

MCQ[2 Marks]

If $u=x^{4}+y^{4}+3x^{2}y^{2}$, the value of $(x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y})^{-1}$ is:

(A)

4u

(B)

\frac{1}{4u}

(C)

\frac{1}{2u}

(D)

2u

Explanation

GATE→2025→Engineering Mathematics→Differential Equations

Q19

NAT[2 Marks]

The value of $y$ at $x=0.3$ and $y(x=0)=0$ for the differential equation $\frac{dy}{dx}=3y+2e^{x}$ is ___ (Rounded off to 3 decimal places)

Explanation

Farm Machinery

4 Questions

GATE→2025→Farm Machinery→Farm Machinery and Equipment

Q20

MCQ[1 Mark]

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

(A)

$0.391\times10^{-3}$

(B)

$1.563\times10^{-3}$

(C)

$1.172\times10^{-3}$

(D)

$1.953\times10^{-3}$

Explanation

GATE→2025→Farm Machinery→Machine Design

Q21

NAT[2 Marks]

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)

Explanation

GATE→2025→Farm Machinery→Farm Machinery and Equipment

Q22

NAT[2 Marks]

A mouldboard plough is operated by a 2WD tractor with 6.0 kN pull. The ratio of the 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)

Explanation

GATE→2025→Farm Machinery→Farm Machinery and Equipment

Q23

NAT[2 Marks]

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)

Explanation

Farm Power

11 Questions

GATE→2025→Farm Power→Tractors and Power Tillers

Q24

MCQ[1 Mark]

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

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q25

MCQ[1 Mark]

While studying vertical motion imparted to the base of tractor seat, $\theta$ (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 $\theta$, the term '$R\theta$' represents the vertical motion resulting from tractor's

(A)

pitch motion

(B)

roll motion

(C)

yaw motion

(D)

lateral motion

Explanation

GATE→2025→Farm Power→Farm Power and Internal Combustion Engines

Q26

MSQ[1 Mark]

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

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q27

NAT[1 Mark]

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)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q28

NAT[1 Mark]

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 $50^{\circ}$ and the outer front wheel makes $35^{\circ}$ steering angles. To ensure turning without front wheel skid, the wheel base of the tractor should be ___ m. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Sources of Power

Q29

NAT[2 Marks]

A flat plate solar collector located at Bhopal ($23^{\circ}15^{\prime}\text{N}, 77^{\circ}42^{\prime}\text{E}$) is tilted at an angle of $30^{\circ}$ with the horizontal and facing due South. Considering hour angle as $45^{\circ}$, 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)

Explanation

GATE→2025→Farm Power→Farm Power and Internal Combustion Engines

Q30

NAT[2 Marks]

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 $320\text{ g}\cdot\text{h}^{-1}\cdot\text{kW}^{-1}$, considering calorific value of the fuel as $44.6\text{ MJ}\cdot\text{kg}^{-1}$, the fuel equivalent power is ___ kW. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Farm Power and Internal Combustion Engines

Q31

NAT[2 Marks]

An engine's torque-speed characteristics is given below: $T_{maxP}=125\text{ N}\cdot\text{m}$, $N_{maxP}=2400\text{ rpm}$, $N_{HI}=2600\text{ rpm}$ $T_{max}=160\text{ N}\cdot\text{m}$, $N_{maxT}=1450\text{ rpm}$ The Governor's regulation is ___ %. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q32

NAT[2 Marks]

An engine, running at 1200 rpm, drives a 1.2 m diameter rigid wheel on a non-deformable surface at $5\text{ km}\cdot\text{h}^{-1}$ forward speed. The power is transmitted from the 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)

Explanation

GATE→2025→Farm Power→Tractors and Power Tillers

Q33

NAT[2 Marks]

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 $18\text{ km}\cdot\text{h}^{-1}$. Neglecting the frictional forces on the tractor wheels, the turning radius is ___ m. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Farm Power→Sources of Power

Q34

NAT[2 Marks]

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

Explanation

Soil and Water Conservation Engineering

9 Questions

GATE→2025→Soil and Water Conservation Engineering→Surveying and Leveling

Q35

MCQ[1 Mark]

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

(A)

Electric Resistivity method

(B)

Boring method

(C)

Tracer test method

(D)

Remediation method

Explanation

GATE→2025→Soil and Water Conservation Engineering→Surveying and Leveling

Q36

MCQ[1 Mark]

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.

Explanation

GATE→2025→Soil and Water Conservation Engineering→Hydrology

Q37

MSQ[1 Mark]

Match the terms in Column I with the suitable hydrometeorological variables in Column II. Column I: P: Isopleth, Q: Isobath, R: Isohyet, S: Isochrone, T: Isobar Column II: 1: Rainfall, 2: Pressure, 3: Evapotranspiration, 4: Groundwater, 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

Explanation

GATE→2025→Soil and Water Conservation Engineering→Fluid Mechanics

Q38

NAT[2 Marks]

Water flows through a $90^{\circ}$ 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 $9.81\text{ m}\cdot\text{s}^{-2}$, the discharge over the notch is ___ $\text{m}^{3}\cdot\text{s}^{-1}$. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Soil and Water Conservation Engineering→Soil Mechanics

Q39

NAT[2 Marks]

The volume and voids ratio of an undisturbed soil sample are $100\text{ cm}^{3}$ 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)

Explanation

GATE→2025→Soil and Water Conservation Engineering→Hydrology

Q40

NAT[2 Marks]

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 ___ $\text{m}^{3}$. (Answer in integer)

Explanation

GATE→2025→Soil and Water Conservation Engineering→Soil and Water Erosion

Q41

NAT[2 Marks]

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 $9\text{ m}\cdot\text{s}^{-1}$ and the minimum wind velocity at 15 m height required to move the most erodible soil fraction is $9.6\text{ m}\cdot\text{s}^{-1}$. The distance of full protection from this windbreak is ___ m. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Soil and Water Conservation Engineering→Soil and Water Erosion

Q42

NAT[2 Marks]

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)

Explanation

GATE→2025→Soil and Water Conservation Engineering→Hydrology

Q43

NAT[2 Marks]

An 8 ha watershed receives rainfall intensities of 2.5, 3.6, 5.4, 3.3, 2.6 and $1.2\text{ cm}\cdot\text{h}^{-1}$ at the successive interval of 30 minutes. The corresponding surface runoff volume is estimated to be $4800\text{ m}^{3}$. Neglecting initial abstraction losses, the W-index for this watershed is ___ $\text{cm}\cdot\text{h}^{-1}$. (Rounded off to 2 decimal places)

Explanation

Irrigation and Drainage Engineering

6 Questions

GATE→2025→Irrigation and Drainage Engineering→Agricultural Drainage

Q44

MSQ[1 Mark]

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

Explanation

GATE→2025→Irrigation and Drainage Engineering→Irrigation Water Conveyance and Application Methods

Q45

MSQ[1 Mark]

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.

Explanation

GATE→2025→Irrigation and Drainage Engineering→Groundwater Hydrology

Q46

NAT[1 Mark]

An unconfined aquifer having a hydraulic conductivity of $12\text{ m}\cdot\text{day}^{-1}$ covers an area of 1.0 ha. When this aquifer is pumped, it releases $6000\text{ m}^{3}$ 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)

Explanation

GATE→2025→Irrigation and Drainage Engineering→Groundwater Hydrology

Q47

MCQ[2 Marks]

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.

Explanation

GATE→2025→Irrigation and Drainage Engineering→Soil-Water-Plant Relationship

Q48

MSQ[2 Marks]

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

(A)

Evaporation

(B)

Infiltration

(C)

Deep percolation

(D)

Evapotranspiration

Explanation

GATE→2025→Irrigation and Drainage Engineering→Wells and Pumps

Q49

NAT[2 Marks]

A six-stage centrifugal pump delivers water at the rate of $150\text{ L}\cdot\text{s}^{-1}$ against a net pressure rise of $5003\text{ kN}\cdot\text{m}^{-2}$. The pump impeller rotates at 1450 rpm. If the acceleration due to gravity is $9.81\text{ m}\cdot\text{s}^{-2}$ the specific speed of the pump is ___ (Answer in integer)

Explanation

Agricultural Process Engineering

9 Questions

GATE→2025→Agricultural Process Engineering→Engineering Properties of Agricultural Produce

Q50

MCQ[1 Mark]

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)

0.31

(C)

0.17

(D)

0.55

Explanation

GATE→2025→Agricultural Process Engineering→Evaporation and Drying

Q51

MCQ[1 Mark]

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

Explanation

GATE→2025→Agricultural Process Engineering→Evaporation and Drying

Q52

NAT[1 Mark]

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 constant of $\frac{1}{104}\text{ minute}^{-1}$. Considering an equilibrium moisture content of 2% (dry basis), the time required for drying is ___ minutes. (Rounded off to 2 decimal places)

Explanation

GATE→2025→Agricultural Process Engineering→Evaporation and Drying

Q53

NAT[1 Mark]

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)

Explanation

GATE→2025→Agricultural Process Engineering→Size Reduction and Material Handling

Q54

NAT[1 Mark]

Considering acceleration due to gravity as $9.81\text{ m}\cdot\text{s}^{-2}$ and $\pi$ 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)

Explanation

GATE→2025→Agricultural Process Engineering→Evaporation and Drying

Q55

MSQ[2 Marks]

Match the following psychrometric processes (Column I) with the respective changes in thermodynamic properties (Column II) of air-water vapor mixture: Column I: 1. Sensible cooling 2. Cooling and dehumidification 3. Chemical dehumidification 4. Heating and humidification Column II: P. DBT increases and DPT decreases Q. DBT increases and DPT increases R. DBT decreases and DPT remains constant S. DBT decreases and DPT 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

Explanation

GATE→2025→Agricultural Process Engineering→Size Reduction and Material Handling

Q56

NAT[2 Marks]

Locust beans having average particle diameter of 7 mm are ground at a rate of $10\text{ ton}\cdot\text{h}^{-1}$ 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)

Explanation

GATE→2025→Agricultural Process Engineering→Size Reduction and Material Handling

Q57

NAT[2 Marks]

Apple juice $(\text{viscosity}=1.6\text{ cP})$ is being filtered through $2\text{ m}^{2}$ filter under a constant pressure. The juice has solid concentration of $0.04\text{ g}\cdot\text{mL}^{-1}$ in filtrate. The total pressure drop is 325.33 kPa. The values of cake and filter medium resistance are $1.85\times10^{11}\text{ m}\cdot\text{kg}^{-1}$ and $3.50\times10^{11}\text{ m}^{-1}$, respectively. The time required to filter 800 litres of juice is ___ hour. (Answer in integer)

Explanation

GATE→2025→Agricultural Process Engineering→Storage Systems

Q58

NAT[2 Marks]

A cylindrical concrete silo of 6 m internal diameter and 24 m height is filled with rough rice having bulk density of $635\text{ kg}\cdot\text{m}^{-3}$. The angle of friction between concrete wall and rough rice is $30^{\circ}$. 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)

Explanation

Dairy and Food Engineering

7 Questions

GATE→2025→Dairy and Food Engineering→Preservation of Food

Q59

MCQ[1 Mark]

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

Explanation

GATE→2025→Dairy and Food Engineering→Preservation of Food

Q60

MSQ[1 Mark]

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

Explanation

GATE→2025→Dairy and Food Engineering→Heat and Mass Transfer

Q61

NAT[1 Mark]

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 $100^{\circ}\text{C}$, $100^{\circ}\text{C}$ and $40^{\circ}\text{C}$ respectively. Assuming steady-state condition and no heat loss from the wires, the temperature at point 'C' is ___ $^{\circ}\text{C}$. (Answer in integer)

Explanation

GATE→2025→Dairy and Food Engineering→Preservation of Food

Q62

MSQ[2 Marks]

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.

Explanation

GATE→2025→Dairy and Food Engineering→Heat and Mass Transfer

Q63

NAT[2 Marks]

A mixture of Nitrogen ($N_{2}$) 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 $N_{2}$ is 60.80 kPa and at a point 0.22 m apart, the partial pressure of $N_{2}$ is 20.31 kPa. The diffusion coefficient of the mixture is $0.612\times10^{-4}\text{ m}^{2}\cdot\text{s}^{-1}$ Considering Universal gas constant as $8314\text{ m}^{3}\cdot\text{Pa}\cdot\text{kg}\text{mol}^{-1}\cdot\text{K}^{-1}$, the steady-state flux of $N_{2}$ is $n\times10^{-6}\text{kg}\text{mol}\cdot\text{s}^{-1}\cdot\text{m}^{-2}$ The value of $n$ is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2025→Dairy and Food Engineering→Heat and Mass Transfer

Q64

NAT[2 Marks]

Milk enters at $25^{\circ}\text{C}$ through inner pipe of a concentric double pipe heat exchanger. Hot water enters at $82.5^{\circ}\text{C}$ and flows countercurrently (flow rate $=1.2\text{ kg}\cdot\text{s}^{-1}$) 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 $2100\text{ W}\cdot\text{m}^{-2}\cdot\text{K}^{-1}$, respectively. The average values of specific heat capacity of water and milk are $4.18\text{ kJ}\cdot\text{kg}^{-1}\cdot\text{K}^{-1}$ and $3.95\text{ kJ}\cdot\text{kg}^{-1}\cdot\text{K}^{-1}$, respectively. The effectiveness of the heat exchanger is 0.572 and the NTU is 1.01. Assuming the steady-state condition and considering $\pi$ as 3.14, the temperature of hot water at exit of the pipe is ___ $^{\circ}\text{C}$. (Rounded off to 1 decimal place)

Explanation

GATE→2025→Dairy and Food Engineering→Preservation of Food

Q65

NAT[2 Marks]

In an inoculated pack study, 0.5 kg peas per can are thermally processed at $121^{\circ}\text{C}$. One group of cans contain Clostridium spp. spores with initial spore level of $5\times10^{10}$ 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 $121^{\circ}\text{C}$ 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).

Explanation