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General Aptitude(10)Engineering Mathematics(9)Farm Machinery(5)Farm Power(10)Soil and Water Conservation Engineering(10)Irrigation and Drainage Engineering(6)Agricultural Process Engineering(7)Dairy and Food Engineering(8)

General Aptitude

10 Questions

GATE→2024→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

If '$\rightarrow$' denotes increasing order of intensity, then the meaning of the words $[dry \rightarrow arid \rightarrow parched]$ is analogous to $[diet \rightarrow fast \rightarrow \_]$. Which one of the given options is appropriate to fill the blank?

(A)

starve

(B)

reject

(C)

feast

(D)

deny

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$

(A)

depends on xy

(B)

depends only on x and not on y

(C)

depends only on y and not on x

(D)

is a constant

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

(A)

13.5

(B)

14

(C)

11

(D)

18.7

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is

(A)

21%

(B)

14 2/7 %

(C)

10%

(D)

30%

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

For positive non-zero real variables $p$ and $q$, if $\log(p^{2}+q^{2})=\log p+\log q+2\log 3$, then, the value of $\frac{p^{4}+q^{4}}{p^{2}q^{2}}$ is

(A)

79

(B)

81

(C)

9

(D)

83

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head (iv) his shoulders.

(A)

(i) down, (ii) down, (iii) on, (iv) for

(B)

(i) on, (ii) down, (iii) for, (iv) on

(C)

(i) down, (ii) out, (iii) for, (iv) on

(D)

(i) on, (ii) out, (iii) on, (iv) for

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

A rectangular paper sheet of dimensions $54\text{ cm} \times 4\text{ cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of jubilant cylindrical tube to the volume of the cube is

(A)

1/\pi

(B)

2/\pi

(C)

3/\pi

(D)

4/\pi

Explanation

GATE→2024→General Aptitude→Data Interpretation

Q8

MCQ[2 Marks]

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. [Pie chart: Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%] The typical energy density (kcal/g) for fats (unsaturated, saturated, trans) is 9 kcal/g. The total fat (all three types), in grams, this person consumes is

(A)

44.4

(B)

77.8

(C)

100

(D)

3,600

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

A rectangular paper of $20\text{ cm} \times 8\text{ cm}$ is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

(A)

18

(B)

24

(C)

20

(D)

21

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

The least number of squares to be added in the figure to make AB a line of symmetry is

(A)

3

(B)

5

(C)

7

Explanation

Engineering Mathematics

9 Questions

GATE→2024→Engineering Mathematics→Vector Calculus

Q11

MCQ[1 Mark]

The divergence of the curl of a twice continuously differentiable vector function is

(A)

0

(B)

1

(C)

2

(D)

8

Explanation

GATE→2024→Engineering Mathematics→Differential Equations

Q12

MCQ[1 Mark]

Laplace transform of a function $f(t)=t^{4}$ as a function of 's' is

(A)

\frac{120}{s^{5}}

(B)

\frac{24}{s^{5}}

(C)

\frac{120}{s^{4}}

(D)

\frac{24}{s^{4}}

Explanation

GATE→2024→Engineering Mathematics→Calculus

Q13

MSQ[1 Mark]

A continuously differentiable function $y=f(x)$ satisfies one or more of the following conditions at its point of inflection:

(A)

\frac{d^{2}y}{dx^{2}}\neq0

(B)

\frac{d^{2}y}{dx^{2}}=0

(C)

\frac{d^{3}y}{dx^{3}}=0

(D)

\frac{d^{3}y}{dx^{3}}\neq0

Explanation

GATE→2024→Engineering Mathematics→Probability and Statistics

Q14

NAT[1 Mark]

The mean and variance of a dataset are 16 and 25, respectively. The coefficient of variation of the dataset, in %, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Engineering Mathematics→Probability and Statistics

Q15

NAT[1 Mark]

The chances for passing an endurance test for three threshers P, Q and R are $1/6$, $1/4$ and $1/2$, respectively. The probability of passing the endurance test by at least one thresher, in fraction, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Engineering Mathematics→Linear Algebra

Q16

MCQ[2 Marks]

Let $[P]=\begin{bmatrix}2 & 3 & 7 \\ 4 & 1 & 5\end{bmatrix}$ and $[Q]=\begin{bmatrix}8 & 11 & 9 \\ 12 & 6 & 13\end{bmatrix}$ be two matrices. The matrix $[P]^{T}[Q]$ is

(A)

matrix A

(B)

matrix B

(C)

matrix C

(D)

matrix D

Explanation

GATE→2024→Engineering Mathematics→Differential Equations

Q17

MCQ[2 Marks]

The complete solution for the differential equation $\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}-3y=0$ for $y(0)=0$ and $y^{\prime}(0)=8$ is

(A)

2(e^{x}-e^{3x})

(B)

2(e^{x}-e^{-3x})

(C)

2(e^{x}+e^{3x})

(D)

2(e^{x}+e^{-3x})

Explanation

GATE→2024→Engineering Mathematics→Calculus

Q18

NAT[2 Marks]

The calculated value of $e^{1/2}$ using Taylor's series with first four terms for $x=\frac{1}{2}$ is ___ (Rounded off to 3 decimal places)

Explanation

GATE→2024→Engineering Mathematics→Vector Calculus

Q19

NAT[2 Marks]

The directional derivative of $u(x,y,z)=x^{2}y+y^{2}z$ at the point (1, 2, 3) in the direction $\hat{i}+2\hat{j}+3\hat{k}$ is ___ (Rounded off to 2 decimal places)

Explanation

Farm Machinery

5 Questions

GATE→2024→Farm Machinery→Machine Design

Q20

NAT[1 Mark]

A chain drive is used to transmit power from a DC motor to the shaft of a solar energy operated thresher by reducing the speed from 240 rpm to 120 rpm. The number of teeth on the driving sprocket is 20 and the pitch circle diameter of the driven sprocket is 600 mm. The pitch of the chain used, in mm, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Machinery→Farm Machinery and Equipment

Q21

NAT[1 Mark]

A tractor drawn rotavator with a rotor radius 300 mm has 6 flanges having 3 blades in each flange acting in one plane. It is operated at a rotor speed of 180 rpm and a forward speed of $3\text{ km}\cdot\text{h}^{-1}$. Increasing the forward speed as well as the rotor speed by 15% each, the change in length of soil slice, in mm, is ___ (Answer in integer)

Explanation

GATE→2024→Farm Machinery→Farm Machinery and Equipment

Q22

MCQ[2 Marks]

A 4.2 m self-propelled combine harvester operating at a forward speed of $3.5\text{ km}\cdot\text{h}^{-1}$ is used to harvest wheat in an area of 300 ha in a year at a field efficiency of 75%. Consider the variable cost to be linearly related to the actual hours of operation. To bring down the cost of operation per hour by 15%, the change in area required to be harvested per year, in ha, is (Rounded off to 2 decimal places)

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→Farm Machinery→Farm Machinery and Equipment

Q23

NAT[2 Marks]

A single acting disk harrow having 5 disks in each gang with a gang angle of $20^{\circ}$ is operated at a forward speed of $3\text{ km}\cdot\text{h}^{-1}$ and a depth of 10 cm. The horizontal soil reaction force acting parallel to the face of each disk is found to be 250 N. The drawbar power required to pull the harrow, in kW, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Machinery→Farm Machinery and Equipment

Q24

NAT[2 Marks]

A tractor drawn boom type sprayer fitted with 12 nozzles at a spacing of 50 cm is used to carryout spraying at a forward speed of $3.5\text{ km}\cdot\text{h}^{-1}$ and nozzle pressure of 250 kPa for an application rate of $1.5\text{ m}^3\cdot\text{ha}^{-1}$. Out of the total discharge from the pump, 12% is bypassed to the liquid tank and the total pressure drop in all pipe lines from the pump is 10% of the pressure developed by the pump. Considering the pump efficiency as 60%, if the nozzle pressure is increased by 10%, the power required to operate the pump, in kW, is ___ (Rounded off to 3 decimal places)

Explanation

Farm Power

10 Questions

GATE→2024→Farm Power→Tractors and Power Tillers

Q25

MCQ[1 Mark]

If the dynamic weight on the front axle is lesser than 20% of the total weight of tractor, the longitudinal instability of tractor can be avoided by

(A)

adding weight on the rear axle

(B)

adding weight on the front axle

(C)

reducing weight on the rear axle

(D)

reducing weight on the front axle

Explanation

GATE→2024→Farm Power→Farm Power and Internal Combustion Engines

Q26

MCQ[1 Mark]

In places with severe cold climate, the most important fuel property to be considered for running an internal combustion engine is

(A)

heating value

(B)

flash point

(C)

pour point

(D)

boiling point

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q27

MCQ[1 Mark]

A towed rigid wheel with a total weight W is to be rolled on a hard horizontal surface as well as up the slope on a hard surface inclined at an angle $\theta$ with the horizontal. The rolling resistance of the wheel on inclined surface as compared to that on the horizontal surface is

(A)

increased by W \sin\theta

(B)

increased by W \cos\theta

(C)

decreased by W \sin\theta

(D)

decreased by W \cos\theta

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q28

NAT[1 Mark]

The height of adult males at $5^{th}$, $50^{th}$ and $95^{th}$ percentiles are 162 cm, 173 cm and 185 cm, respectively. The minimum inside height of the tractor cab required to ensure the satisfactory design based on the given data, in cm, is ___ (Answer in integer)

Explanation

GATE→2024→Farm Power→Farm Power and Internal Combustion Engines

Q29

NAT[1 Mark]

The air standard cycle efficiency of the Otto cycle is 56% and heat supplied is 12.5 kJ, the heat rejected during the cycle, in kJ, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Farm Power and Internal Combustion Engines

Q30

MCQ[2 Marks]

A 3-cylinder 4-stroke diesel engine with a bore 73 mm and stroke 78 mm is tested at 2200 rpm. When a braking torque 55 N.m is applied, the indicated mean effective pressure is found to be 1050 kPa. The mechanical efficiency of the engine, in %, is (Rounded off to 2 decimal places)

(A)

57.21

(B)

61.45

(C)

67.21

(D)

71.25

Explanation

GATE→2024→Farm Power→Sources of Power

Q31

NAT[2 Marks]

A tractor drawn rotary mower has a swath width 1.2 m when operated at a forward speed of $5\text{ km}\cdot\text{h}^{-1}$. The specific power loss due to air, stubble and gear train friction per m of swath width is 1.5 kW and the specific cutting energy is $2\text{ kJ}\cdot\text{m}^{-2}$. The total weight of tractor with mower is 25 kN and the resistance to propel the tractor with mower is 6% of its total weight. Assuming transmission efficiency between engine to drawbar as 75% and engine to PTO as 87%, the total engine power required to carry out mowing, in kW, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Farm Power→Sources of Power

Q32

NAT[2 Marks]

A farmer desires to run a diesel engine developing a brake power of 1.5 kW, continuously for 2 hours using biogas and diesel in a dual fuel mode. If gas requirement for running the engine in dual fuel mode is $0.67\text{ m}^{3}\cdot\text{kW}^{-1}\cdot\text{h}^{-1}$, the minimum size of KVIC model biogas plant with a gas holding capacity of 60% suitable for running this diesel engine, in $\text{m}^{3}$ is ___ (Answer in integer)

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q33

NAT[2 Marks]

An accelerator mounted to the waist of a seated tractor operator records an RMS acceleration of $2.5\text{ m}\cdot\text{s}^{-2}$. By improving the seat design, the vibration acceleration level is decreased by 5 dB. After improvement, the RMS acceleration, in $\text{m}\cdot\text{s}^{-2}$ is ___ (Rounded off to 3 decimal places)

Explanation

GATE→2024→Farm Power→Tractors and Power Tillers

Q34

NAT[2 Marks]

A two-wheel drive tractor having a total weight of 20 kN is pulling an implement at an actual speed of $3\text{ km}\cdot\text{h}^{-1}$. The ratio of axle power (kW) to dynamic weight (kN) on the rear axle is expressed as 1.79/V, where, V is the theoretical forward speed in $\text{km}\cdot\text{h}^{-1}$. During pulling the implement, the weight distribution on the front and rear axles of the tractor is 40% and 60% of the total weight, respectively, with wheel slip 12% and coefficient of net traction 0.42. The tractive efficiency, in %, is ___ (Rounded off to 2 decimal places)

Explanation

Soil and Water Conservation Engineering

10 Questions

GATE→2024→Soil and Water Conservation Engineering→Hydrology

Q35

MCQ[1 Mark]

Match the following instruments (in Column I) with corresponding measurements (in Column II). Column I: P. Current meter, Q. Anemometer, R. Hygrometer, S. Symon's gauge, T. Pyranometer Column II: 1. Solar radiation, 2. Rainfall, 3. Stream flow velocity, 4. Humidity, 5. Wind speed

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion

Q36

MCQ[1 Mark]

In wind erosion, the maximum portion of soil is transported by the process of

(A)

suspension

(B)

saltation

(C)

surface creep

(D)

bed load

Explanation

GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion

Q37

MCQ[1 Mark]

Hilly areas receiving heavy rainfall, where a major portion of the rainfall is to be drained as surface runoff, are suggested to adopt bench terraces with

(A)

sloping inward

(B)

level tops

(C)

sloping outward

(D)

vertical risers

Explanation

GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion

Q38

NAT[1 Mark]

The slope length of an area having land slope of 6% is reduced to half while other conditions are kept unchanged. The reduction in annual soil loss from the area, in %, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Soil and Water Conservation Engineering→Hydrology

Q39

MCQ[2 Marks]

A 10 ha watershed received a 4-hour rainfall storm with rainfall intensity of 2, 1, 1.5, and $1\text{ cm}\cdot\text{h}^{-1}$ in each subsequent hour, respectively. Assuming phi-index ($\phi$) of $1\text{ cm}\cdot\text{h}^{-1}$, the volume of direct runoff, in $\text{m}^{3}$, is (Rounded off to 2 decimal places)

(A)

1500

(B)

4500

(C)

5500

(D)

15000

Explanation

GATE→2024→Soil and Water Conservation Engineering→Surveying and Leveling

Q40

MCQ[2 Marks]

A surveyor started a longitudinal section leveling survey by taking starting bench mark of elevation 53.85 m. During the survey, he takes an observation of intermediate sight of 2.42 m with the staff held on another bench mark of 85.45 m. The sum of the back sights from the start to the point is 50.28 m and that of fore sight is 16.30 m. If the surveyor ends the survey operation on the second bench mark, the error of closure on the second bench mark, in m, is (Rounded off to 2 decimal places)

(A)

A

(B)

0.02

(C)

C

(D)

D

Explanation

GATE→2024→Soil and Water Conservation Engineering→Fluid Mechanics

Q41

NAT[2 Marks]

A flow rate of $2\text{ m}^{3}\cdot\text{s}^{-1}$ is to be carried out in an open channel at a velocity of $1\text{ m}\cdot\text{s}^{-1}$. The cross section of the channel is rectangular with depth equal to one-half of the width. Considering Manning's roughness coefficient (n) as 0.02, the slope of the channel, in %, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Soil and Water Conservation Engineering→Hydrology

Q42

NAT[2 Marks]

A catchment with 5 rain gauge stations recorded annual rainfall of 90, 100, 80, 120, and 110 cm, respectively. Considering 5% error in estimation of the mean annual rainfall, additional number of rain gauge stations required is ___ (Answer in integer)

Explanation

GATE→2024→Soil and Water Conservation Engineering→Soil Mechanics

Q43

NAT[2 Marks]

A soil sample of diameter 70 mm was used for constant head permeability test. The observed head loss was 80 mm in the soil sample length of 100 mm and water collected in one minute was 60 mL. The coefficient of permeability, in $\text{mm}\cdot\text{s}^{-1}$, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Soil and Water Conservation Engineering→Soil and Water Erosion

Q44

NAT[2 Marks]

In a semi-arid region with land slope of 3%, contour bunding is planned to conserve and store the rain water. In 10 years return period, the daily effective rainfall is estimated as 20 cm maximum in the region. If the horizontal spacing between the bunds is 30 m, the designed height of the bund, in m, is ___ (Rounded off to 2 decimal places)

Explanation

Irrigation and Drainage Engineering

6 Questions

GATE→2024→Irrigation and Drainage Engineering→Irrigation Water Conveyance and Application Methods

Q45

MCQ[1 Mark]

The difference between advance curve and recession curve for a given surface irrigation event is known as

(A)

time of concentration

(B)

lag time

(C)

time to peak

(D)

intake opportunity time

Explanation

GATE→2024→Irrigation and Drainage Engineering→Soil-Water-Plant Relationship

Q46

MSQ[1 Mark]

In-situ volumetric soil moisture content measuring method(s) is/are:

(A)

Neutron probe

(B)

Tensiometer

(C)

Time domain reflectometry

(D)

Piezometer

Explanation

GATE→2024→Irrigation and Drainage Engineering→Agricultural Drainage

Q47

NAT[1 Mark]

The excess water from a watershed of area $16.95\text{ km}^{2}$ is drained out through a channel at an average rate of $2.8\text{ m}^{3}\cdot\text{s}^{-1}$. Drainage coefficient of the watershed, in cm, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Irrigation and Drainage Engineering→Irrigation Water Conveyance and Application Methods

Q48

MCQ[2 Marks]

The performance of a border irrigation event was evaluated by taking soil moisture measurements at 12 locations along the border from the upstream end. The computed irrigation depths at those locations were 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, and 39 mm. The Christiansen Uniformity Coefficient (CU) for the event, in %, is (Rounded off to 2 decimal places)

(A)

93.26

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→Irrigation and Drainage Engineering→Groundwater Hydrology

Q49

NAT[2 Marks]

In an area, one tubewell of 15 cm diameter was operating such that groundwater table is 40 m above the bottom of screen. The groundwater formation has permeability (K) as $20\text{ m}\cdot\text{d}^{-1}$ and well has radius of influence of 980 m with a maximum drawdown of 12 m. After some time, a second tubewell of same size was installed at a distance of 500 m from the first tubewell. If both the tubewells are running simultaneously and have equal discharge, the loss of discharge in the first tubewell due to installation of the second tubewell, in %, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Irrigation and Drainage Engineering→Wells and Pumps

Q50

NAT[2 Marks]

A single acting reciprocating pump, running at 40 rpm, has piston of 20 cm diameter and stroke length of 40 cm. The suction and delivery heads are 5 m and 20 m, respectively. Assuming overall pump efficiency as 80%, the power requirement of the pump, in kW, is ___ (Rounded off to 2 decimal places)

Explanation

Agricultural Process Engineering

7 Questions

GATE→2024→Agricultural Process Engineering→Evaporation and Drying

Q51

MSQ[1 Mark]

Incorrect statement(s) with respect to hydrothermal treatment of paddy is/are:

(A)

Process imparts hard texture to grain

(B)

Retention of Vitamin B is less

(C)

Cooking to the same degree of softness requires less time

(D)

Bran obtained contains higher oil content

Explanation

GATE→2024→Agricultural Process Engineering→Evaporation and Drying

Q52

MSQ[1 Mark]

Falling rate period of drying can be explained by one/more of the following:

(A)

Capillary rise of water

(B)

Molecular diffusion of water

(C)

Surface cooling

(D)

Surface evaporation

Explanation

GATE→2024→Agricultural Process Engineering→Size Reduction and Material Handling

Q53

NAT[1 Mark]

An indented cylinder type rice grader has been fed with milled rice containing 18% brokens. After separation, head rice stream contains 3% brokens and the broken stream carried away 4% head rice. The effectiveness of the given rice grader on the basis of head rice separation, in fraction, is ___ (Rounded off to 3 decimal places)

Explanation

GATE→2024→Agricultural Process Engineering→Evaporation and Drying

Q54

NAT[1 Mark]

A single effect evaporator concentrates $9090\text{ kg}\cdot\text{h}^{-1}$ herbal extract of 12% solids entering at 300 K to a final solid concentration of 20%. Assuming negligible product loss through vapor, the amount of concentrated product, in kg, is ___ (Answer in integer)

Explanation

GATE→2024→Agricultural Process Engineering→Size Reduction and Material Handling

Q55

MCQ[2 Marks]

A power operated chaff cutter has an effective throat width of 450 mm and operating clearance of 150 mm. It is used for chopping straw at a moisture content of 20% with bulk density of $60\text{ kg}\cdot\text{m}^{-3}$ while passing through the feed rolls. The number of knives on the cutter head are 4, speed of the cutter head is 540 rpm and the theoretical length of cut is 10 mm. The theoretical capacity of the chaff cutter, in $\text{ton}\cdot\text{h}^{-1}$, is (Rounded off to 2 decimal places)

(A)

1.31

(B)

5.25

(C)

7.54

(D)

9.61

Explanation

GATE→2024→Agricultural Process Engineering→Size Reduction and Material Handling

Q56

MCQ[2 Marks]

Match the following types of mill in Column I based on their grinding mechanisms in Column II. Column I: P. Attrition mill, Q. Ball mill, R. Hammer mill, S. Roller mill Column II: 1. Compression and shear, 2. Impact and abrasion, 3. Crushing and shear, 4. Impact and shear

(A)

P-3; Q-2; R-4; S-1

(B)

P-2; Q-3; R-4; S-1

(C)

P-3; Q-1; R-4; S-2

(D)

P-3; Q-4; R-1; S-2

Explanation

GATE→2024→Agricultural Process Engineering→Size Reduction and Material Handling

Q57

NAT[2 Marks]

Sorghum flour obtained from a grinder was analyzed by IS sieves for particle size determination. The data obtained are as follows: IS sieve number: 100, 70, 50, 40, 30, 20, PAN Mass of flour retained (g): 10.1, 16.5, 36.2, 82.8, 95.0, 9.4 (Note: Check corresponding sieve aperture sizes) The average particle size of the flour, in mm, is ___ (Rounded off to 3 decimal places)

Explanation

Dairy and Food Engineering

8 Questions

GATE→2024→Dairy and Food Engineering→Heat and Mass Transfer

Q58

MCQ[1 Mark]

Critical thickness of insulation ($r_{cr}$) for a pipe having thermal conductivity ($k$) and outer convective heat transfer coefficient ($h_{o}$) is

(A)

2k/h_0

(B)

k/h_o

(C)

h_o/k

(D)

2h_o/k

Explanation

GATE→2024→Dairy and Food Engineering→Preservation of Food

Q59

NAT[1 Mark]

Freshly harvested shrimps of 100 kg having initial temperature of $25^{\circ}\text{C}$ are frozen to $-18^{\circ}\text{C}$. The specific heat ($c_{p}$) of shrimp above and below freezing point ($0^{\circ}\text{C}$) are $3.64\text{ kJ}\cdot\text{kg}^{-1}\cdot^{\circ}\text{C}^{-1}$ and $2.01\text{ kJ}\cdot\text{kg}^{-1}\cdot^{\circ}\text{C}^{-1}$, respectively. Considering the latent heat of fusion as $240\text{ kJ}\cdot\text{kg}^{-1}$, the heat load removed during the process, in kJ, is ___ (Rounded off to 1 decimal place)

Explanation

GATE→2024→Dairy and Food Engineering→Preservation of Food

Q60

MCQ[2 Marks]

The decimal reduction time $D_{121}$ and the z value of thermophilic spores in milk were found to be 60 seconds and $11^{\circ}\text{C}$, respectively. Heating time required at $141^{\circ}\text{C}$ for a 10 log cycle reduction in population, in seconds, is (Rounded off to 2 decimal places)

(A)

A

(B)

B

(C)

C

(D)

9.12

Explanation

GATE→2024→Dairy and Food Engineering→Heat and Mass Transfer

Q61

MCQ[2 Marks]

Match the following in material types (Column I) with their rheological properties (Column II). Column I: P. Bingham plastic, Q. Dilatant, R. Pseudoplastic, S. Newtonian Column II: 1. Viscosity increases with increase in shear rate 2. Finite yield stress 3. Shear rate proportional to shear stress 4. Viscosity decreases with increase in shear rate

(A)

P-1, Q-2, R-4, S-3

(B)

P-2, Q-1, R-4, S-3

(C)

P-2, Q-4, R-1, S-3

(D)

P-4, Q-3, R-2, S-1

Explanation

GATE→2024→Dairy and Food Engineering→Heat and Mass Transfer

Q62

NAT[2 Marks]

A steam jacketed kettle is filled with a 250 kg liquid food with a specific heat of $3.1\text{ kJ}\cdot\text{kg}^{-1}\cdot\text{K}^{-1}$. Steam used at $121^{\circ}\text{C}$ has a heat transfer coefficient of $2\text{ W}\cdot\text{m}^{-2}\cdot\text{K}^{-1}$. The area of heat transfer is $0.15\text{ m}^{2}$. Using lumped capacity method, the time required to heat the product from $30^{\circ}\text{C}$ to $95^{\circ}\text{C}$, in minutes, is ___ (Rounded off to 2 decimal places)

Explanation

GATE→2024→Dairy and Food Engineering→Heat and Mass Transfer

Q63

NAT[2 Marks]

Fruit juice entering at $30^{\circ}\text{C}$ is being pasteurized in a double pipe counter flow heat exchanger using hot water entering at $97^{\circ}\text{C}$ and leaving at $65^{\circ}\text{C}$. Specific heat of juice and water are $3.8\text{ kJ}\cdot\text{kg}^{-1}\cdot\text{K}^{-1}$ and $4.2\text{ kJ}\cdot\text{kg}^{-1}\cdot\text{K}^{-1}$, respectively. Flow rate of juice is $0.3\text{ kg}\cdot\text{s}^{-1}$ and that of water is $0.4\text{ kg}\cdot\text{s}^{-1}$. Considering an overall heat transfer coefficient of $1\text{ kW}\cdot\text{m}^{-2}\cdot\text{K}^{-1}$ the area of heat exchanger required, in $\text{m}^{2}$, is ___ (Rounded off to 3 decimal places)

Explanation

GATE→2024→Dairy and Food Engineering→Preservation of Food

Q64

NAT[2 Marks]

Mango pulp at an initial temperature of $25^{\circ}\text{C}$ and a moisture content of 70% (wb) is to be dried into leather to a final moisture content of 10% (wb) using hot air at $95^{\circ}\text{C}$. The latent heat of vaporization of water at $95^{\circ}\text{C}$ and at standard atmospheric pressure is $2250\text{ kJ}\cdot\text{kg}^{-1}$. Considering the specific heat of mango pulp as $3.8\text{ kJ}\cdot\text{kg}^{-1}\cdot^{\circ}\text{C}^{-1}$, the energy required for drying per kg of mango pulp, in kJ, is ___ (Rounded off to 1 decimal place)

Explanation

GATE→2024→Dairy and Food Engineering→Preservation of Food

Q65

NAT[2 Marks]

Fish fillets at $-1^{\circ}\text{C}$ are being frozen in Individual Quick Freezing (IQF) system using air at $-40^{\circ}\text{C}$. The product has a characteristic dimension of 10 cm with a density of $1200\text{ kg}\cdot\text{m}^{-3}$. Thermal conductivity of the product is $2.5\text{ W}\cdot\text{m}^{-2}\cdot\text{K}^{-1}$ [Note: units of k], the convective heat transfer coefficient is 100 and the latent heat of fusion is $300\text{ kJ}\cdot\text{kg}^{-1}$. If the fillet is considered as an infinite plate, the freezing time, in minutes, is ___ (Rounded off to 2 decimal places)

Explanation