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General Aptitude(10)Engineering Mathematics(7)Farm Machinery(6)Farm Power(9)Soil and Water Conservation Engineering(11)Irrigation and Drainage Engineering(7)Agricultural Process Engineering(8)Dairy and Food Engineering(7)

General Aptitude

10 Questions

GATE→2023→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

"You are delaying the completion of the task. Send _______ contributions at the earliest."

(A)

you are

(B)

your

(C)

you're

(D)

yore

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q2

MCQ[1 Mark]

Choose the word most analogous or matching by word meaning context to 'Guidelines : Implement :: References : _______'

(A)

Sight

(B)

Site

(C)

Cite

(D)

Plagiarise

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

In the given figure, PQRS is a parallelogram with $PS=7$ cm, $PT=4$ cm and $PV=5$ cm. What is the length of RS in cm?

(A)

\frac{20}{7}

(B)

\frac{28}{5}

(C)

\frac{9}{2}

(D)

\frac{35}{4}

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q4

MCQ[1 Mark]

In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?

(A)

Every Fields medalist has won a medal in an International Mathematics Olympiad.

(B)

Everyone who has dropped out of college has won the Fields medal.

(C)

All Fields medalists are part-time poets.

(D)

Some Fields medalists have dropped out of college.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?

(A)

3

(B)

4

(C)

5

(D)

6

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty? (i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.

(A)

only (i)

(B)

only (iii) and (iv)

(C)

only (i) and (ii)

(D)

(i), (ii) and (iii)

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?

(A)

400

(B)

600

(C)

800

(D)

200

Explanation

GATE→2023→General Aptitude→Data Interpretation

Q8

MCQ[2 Marks]

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place... Based only on the above passage, which one of the following statements can be inferred with certainty?

(A)

According to the World Bank, the root cause of Sri Lanka's economic crisis is that it does not have enough foreign exchange.

(B)

The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis.

(C)

According to the World Bank, Sri Lanka does not yet have an adequate macroeconomic policy framework.

(D)

The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to

(A)

33

(B)

-3

(C)

30

(D)

21

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

(A)

circle

(B)

regular octagon

(C)

regular pentagon

(D)

rhombus

Explanation

Engineering Mathematics

7 Questions

GATE→2023→Engineering Mathematics→Linear Algebra

Q11

MCQ[1 Mark]

If A and B are square matrices of order 3 such that $|A|=-1$, $|B|=3$ then $|3AB|$ equals

(A)

-81

(B)

-27

(C)

-9

(D)

81

Explanation

GATE→2023→Engineering Mathematics→Calculus

Q12

MCQ[1 Mark]

$\lim_{x\rightarrow0}\frac{\sqrt{1+x}-1}{x}$ is equal to

(A)

0

(B)

\frac{1}{2}

(C)

1

(D)

2

Explanation

GATE→2023→Engineering Mathematics→Calculus

Q13

MCQ[1 Mark]

The value of $I=\int_{0}^{\frac{\pi}{2}}\frac{(\sin x+\cos x)^{2}}{\sqrt{1+\sin 2x}}dx$ is

(A)

0

(B)

1

(C)

2

(D)

3

Explanation

GATE→2023→Engineering Mathematics→Differential Equations

Q14

MCQ[1 Mark]

$y=ae^{mx}+be^{-mx}$ is the solution of the differential equation

(A)

\frac{dy}{dx}-my=0

(B)

\frac{dy}{dx}+my=0

(C)

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

(D)

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

Explanation

GATE→2023→Engineering Mathematics→Linear Algebra

Q15

MCQ[2 Marks]

If $A=\begin{bmatrix}1 & -1 \\ 2 & -1\end{bmatrix}$ and $B=\begin{bmatrix}a & 1 \\ b & -1\end{bmatrix}$ and $(A+B)^{2}=A^{2}+B^{2},$ then the values of a and b are

(A)

$a=4$ $b=1$

(B)

$a=1$ $b=4$

(C)

$a=0$, $b=4$

(D)

$a=2$, $b=4$

Explanation

GATE→2023→Engineering Mathematics→Vector Calculus

Q16

MCQ[2 Marks]

A vector $\vec{F}=5\hat{i}-10\hat{j}+8\hat{k}$ is passing through the origin of a 3-D frame. Considering the tendency of rotation in the counter clockwise direction as positive, the moment about a point A: (3, 4, 8) is

(A)

$-16\hat{i}+112\hat{j}+50\hat{k}$

(B)

$112\hat{i}+16\hat{j}-50\hat{k}$

(C)

$50\hat{i}-112\hat{j}+16\hat{k}$

(D)

$-112\hat{i}-16\hat{j}+50\hat{k}$

Explanation

GATE→2023→Engineering Mathematics→Differential Equations

Q17

NAT[2 Marks]

Given that $\frac{dy}{dx}=2x+y$ and $y=1$ when $x=0$ Using Runge-Kutta fourth order method, the value of y at $x=0.2$ is ___ (rounded off to 3 decimal places).

Explanation

Farm Machinery

6 Questions

GATE→2023→Farm Machinery→Farm Machinery and Equipment

Q18

MCQ[1 Mark]

In rotary tiller, the total energy requirement for carrying out tillage will decrease if

(A)

the bite length is increased

(B)

the bite length is decreased

(C)

the cone index of soil is higher

(D)

forward speed of the machine is reduced

Explanation

GATE→2023→Farm Machinery→Farm Machinery and Equipment

Q19

MCQ[1 Mark]

In a thresher, the cylinder separation efficiency can be improved by increasing

(A)

cylinder diameter

(B)

cylinder speed

(C)

cylinder-concave clearance

(D)

feed rate

Explanation

GATE→2023→Farm Machinery→Farm Machinery and Equipment

Q20

MCQ[2 Marks]

A vertical disc plough with 5 discs is operated at a depth of 0.15 m. The disc angle and disc diameter are $40^{\circ}$ and 0.6 m, respectively. If overlap between two consecutive discs is 0.12 m at 0.15 m depth of cut, the total width of cut at the specified depth in m is

(A)

1.19

(B)

1.55

(C)

2.11

(D)

2.36

Explanation

GATE→2023→Farm Machinery→Farm Machinery and Equipment

Q21

MCQ[2 Marks]

In a $9\times20$ cm fluted roller type seed drill, each fluted roller is discharging 4.25 g of seed per revolution of fluted roller shaft. The fluted roller shaft rotates once for two complete rotation of the ground drive wheel of the seed drill. The rolling diameter of the ground drive wheel is 0.35 m. Considering no skid of the ground drive wheel, the seed rate in $\text{kg }\text{ha}^{-1}$ is Consider $\pi=3.14$

(A)

96.62

(B)

141.55

(C)

187.35

(D)

386.42

Explanation

GATE→2023→Farm Machinery→Machine Design

Q22

NAT[2 Marks]

A power operated chaff cutter with a mean cutting radius of 0.25 m is fitted with two cutting knives and is rotating at 300 rpm. Thirty maize stalks with a mean diameter of 12 mm are fed through the throat at a time. The dynamic shear strength of the stalk is 0.05 N $\text{mm}^{-2}$ The mass and radius of gyration of the flywheel (including knives) are 40 kg and 0.27 m, respectively. The total shaft power requirement in kW is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Farm Machinery→Machine Design

Q23

NAT[2 Marks]

A single disc clutch is used to transmit 10 kW power at 1400 rpm. The axial pressure exerted on the contact surface is 0.07 N $\text{mm}^{-2}$ and the coefficient of friction is 0.25. Considering the ratio of diameter to face width of the clutch lining as 8 and assuming uniform wear theory, the required face width of friction lining in mm is ___ (rounded off to 2 decimal places).

Explanation

Farm Power

9 Questions

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q24

MCQ[1 Mark]

The effectiveness of the turbocharger of a diesel engine increases when

(A)

the ambient temperature increases

(B)

the pressure ratio across the compressor decreases

(C)

the load on the engine increases

(D)

the displacement volume of the engine decreases

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q25

MCQ[1 Mark]

In a 4-stroke single cylinder diesel engine, the inlet valve opens at $10^{\circ}$ before TDC and closes at $40^{\circ}$ after BDC. The exhaust valve opens at $25^{\circ}$ before BDC and closes at $15^{\circ}$ after TDC. The percentage of time for which both the valves remain closed in one cycle of the engine is

(A)

32.29

(B)

40.97

(C)

46.53

(D)

75.01

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q26

MCQ[1 Mark]

The torque available at maximum power developed by the tractor is 150 N m. If the reserve torque is 20%, the peak torque that can be developed by the tractor in N m is

(A)

100

(B)

120

(C)

180

(D)

210

Explanation

GATE→2023→Farm Power→Sources of Power

Q27

NAT[1 Mark]

Considering declining balance method, the constant rate of depreciation at which the value of the tractor will come down to 50% of its purchase price at the end of $4^{th}$ year in per cent is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q28

MCQ[2 Marks]

A field sprayer with 12 nozzles fitted to the boom at a spacing of 0.5 m is used for spraying at a height of 0.75 m from the ground. The angle of spraying is $75^{\circ}$ If the height of spraying is reduced to 0.6 m, the change in swath in m is

(A)

0.23

(B)

0.48

(C)

0.65

(D)

0.91

Explanation

GATE→2023→Farm Power→Tractors and Power Tillers

Q29

NAT[2 Marks]

A two-wheel drive tractor with a total weight of 24 kN has a static weight distribution of 30% and 70% at the front and rear axles, respectively. When the tractor is operated on a level ground of pure sand, the maximum tractive force developed is 13 kN. If external weight of 1.5 kN is added to the rear axle, neglecting weight transfer, the change in maximum tractive force in kN is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Farm Power→Farm Power and Internal Combustion Engines

Q30

NAT[2 Marks]

A 4-stroke diesel engine can be operated with either diesel (heating value $45\text{ MJ }\text{kg}^{-1}$) or biodiesel blend, B20 (heating value $42.1\text{ MJ }\text{kg}^{-1}$). The brake specific fuel consumption of the engine when operated with diesel and B20 is $260\text{ g }\text{kW}^{-1}\text{h}^{-1}$ and $310\text{ g }\text{kW}^{-1}\text{h}^{-1}$, respectively. For developing a brake power of 20 kW, the change in brake thermal efficiency of the engine when B20 is used in place of diesel is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Farm Power→Sources of Power

Q31

NAT[2 Marks]

A solar photovoltaic system is used to generate power from total solar radiations varying from 400 to 750 W $\text{m}^{-2}$. The maximum conversion efficiency of solar photovoltaic system is 14%. The open circuit voltage, short circuit current and fill factor of solar cells are 21.6 V, 3.22 A and 0.72, respectively. To generate maximum power, the minimum cell area required in $\text{m}^{2}$ is ___ (rounded off to 3 decimal places).

Explanation

GATE→2023→Farm Power→Tractors and Power Tillers

Q32

NAT[2 Marks]

In a tractor seat system, the chassis frequency and seat suspension damping rate are $20\text{ rad }\text{s}^{-1}$ and $400\text{ }\text{N }\text{m}^{-1}$ s, respectively. The critical damping rate of tractor seat system is $1600\text{ }\text{N }\text{m}^{-1}$ s. If the combined mass of the seat and operator is 80 kg, the transmissivity of vibration is ___ (rounded off to 2 decimal places).

Explanation

Soil and Water Conservation Engineering

11 Questions

GATE→2023→Soil and Water Conservation Engineering→Soil Mechanics

Q33

MCQ[1 Mark]

The statement which is not correct for the porous medium is

(A)

Seepage velocity is always greater than the Darcy's velocity

(B)

Darcy's velocity is not exclusively controlled by soil porosity

(C)

Seepage velocity increases with increasing surface ponding of water

(D)

Darcy's velocity in unsaturated soil is always greater than that in saturated soil

Explanation

GATE→2023→Soil and Water Conservation Engineering→Surveying and Leveling

Q34

MCQ[1 Mark]

If the departure and latitude of a line are 70 m and 130 m, respectively, then the whole circle bearing of the line in degrees is

(A)

28

(B)

62

(C)

152

(D)

208

Explanation

GATE→2023→Soil and Water Conservation Engineering→Hydrology

Q35

MCQ[1 Mark]

The information needed for estimating the design flood using Rational formula is

(A)

cumulative infiltration

(B)

antecedent moisture condition of soil

(C)

shape factor of the catchment

(D)

time of concentration of the catchment

Explanation

GATE→2023→Soil and Water Conservation Engineering→Hydrology

Q36

NAT[1 Mark]

The probability that a storm event with a return period of 20 years will occur once in 5-year period is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Soil and Water Conservation Engineering→Fluid Mechanics

Q37

NAT[1 Mark]

A trapezoidal grassed waterway with side slope (H:V) of 1:1 carries a design discharge of $1\text{ m}^{3}\text{s}^{-1}$. The bed slope and Manning's roughness coefficient of this channel are 1% and 0.04, respectively. The design depth of the best hydraulic trapezoidal grassed waterway section in m is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Soil and Water Conservation Engineering→Hydrology

Q38

MCQ[2 Marks]

The ordinates of a 6-hour S-hydrograph of a catchment are given in Table below. The catchment has phi-index of $0.25\text{ cm}\text{h}^{-1}$ and baseflow of $10.5\text{ m}^{3}\text{s}^{-1}$. The peak of the flood hydrograph generated from this catchment due to a storm of 45 mm received during the first 6 h in $\text{m}^{3}\text{s}^{-1}$ is [Table: Time (h) vs Ordinates]

(A)

259.5

(B)

270.0

(C)

280.5

(D)

349.5

Explanation

GATE→2023→Soil and Water Conservation Engineering→Hydrology

Q39

MCQ[2 Marks]

The infiltration capacity of a basin is described by the Horton's equation, $I=2+e^{-3t}$, where I is in cm $\text{h}^{-1}$ and the duration, t is in hours. If the duration of the storm event is 2 hours, the depth of the infiltration in the last 1 hour of the storm event in mm is

(A)

5

(B)

10

(C)

20

(D)

25

Explanation

GATE→2023→Soil and Water Conservation Engineering→Hydrology

Q40

NAT[2 Marks]

In a locality 'A', the probability of a convective storm event is 0.7 with a density function, $f_{X_{1}}(x_{1})=e^{-x_{1}}$, $x_{1}>0$ The probability of tropical cyclone-induced storm in the same location is given by the density function $f_{X_{2}}(x_{2})=2e^{-2x_{2}}$ $x_{2}>0$ The probability of occurring more than 1 unit of storm event is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Soil and Water Conservation Engineering→Fluid Mechanics

Q41

NAT[2 Marks]

Two cylindrical reservoirs 'A' and 'B' are connected by a 30 m long pipe of 250 mm internal diameter as shown in Figure below. The Darcy-Weisbach friction factor for the pipe is 0.025. Initially the reservoir 'A' was full at the indicated level and reservoir 'B' was empty. If the entrance and exit losses in this pipe are neglected, the time required to empty the reservoir 'A' in hour is ___ (rounded off to 3 decimal places). Consider $\pi=3.14$ and acceleration due to gravity, $g=9.81\text{ m }\text{s}^{-2}$. [Figure: Reservoir A dia 8m, level 14m; Reservoir B dia 10m, level 6.6m]

Explanation

GATE→2023→Soil and Water Conservation Engineering→Soil Mechanics

Q42

NAT[2 Marks]

A homogenous anisotropic earthen dam of height 52 m with a free board of 2 m is constructed on an impermeable foundation. The horizontal and vertical hydraulic conductivities of soil used for the construction of the dam are $4.5\times10^{-8}\text{ m }\text{s}^{-1}$ and $2.0\times10^{-8}\text{ m }\text{s}^{-1}$, respectively. There are 6 flow channels and 25 equipotential drops in a square flownet drawn in the transformed dam section. If the downstream dam side is dry, the quantity of seepage per unit length through the dam in $\text{m}^{3}\text{day}^{-1}\text{m}^{-1}$ is ___ (rounded off to 3 decimal places).

Explanation

GATE→2023→Soil and Water Conservation Engineering→Fluid Mechanics

Q43

NAT[2 Marks]

A 10 m long concrete pipe is required to carry a peak discharge of $1.0\text{ m}^{3}\text{s}^{-1}$ in a drop inlet spillway with a head of 4 m. The entrance loss coefficient is 0.5 and the friction loss coefficient is 0.02. Consider acceleration due to gravity $=9.81\text{ m }\text{s}^{-2}$. The neutral slope of the water level in per cent is ___ (rounded off to 2 decimal places).

Explanation

Irrigation and Drainage Engineering

7 Questions

GATE→2023→Irrigation and Drainage Engineering→Irrigation Water Conveyance and Application Methods

Q44

MCQ[1 Mark]

A sprinkler irrigation system has been designed for a crop with the water application rate of $1.17\text{ cm }\text{h}^{-1}$ and sprinkler discharge of $1.3\text{ L }\text{s}^{-1}$. The coefficient of discharge and uniformity coefficient are 0.9 and 0.8, respectively. If the sprinkler spacing along the lateral is 20 m, the lateral spacing in m is

(A)

14.4

(B)

16.0

(C)

18.0

(D)

20.0

Explanation

GATE→2023→Irrigation and Drainage Engineering→Irrigation Water Conveyance and Application Methods

Q45

MCQ[1 Mark]

The average discharge, operating pressure and emitter constant of a drip emitter are $4\text{ L }\text{h}^{-1}$, 110 kPa and 0.3, respectively. The type of emitter is

(A)

orifice

(B)

long path

(C)

pressure compensating

(D)

disc

Explanation

GATE→2023→Irrigation and Drainage Engineering→Soil-Water-Plant Relationship

Q46

MCQ[1 Mark]

Match the Columns: Column I: a. Consumptive use, b. Bernoulli's equation, c. Soil moisture, d. Hydrostatic pressure, e. Volumetric flow rate Column II: 1. Tensiometer, 2. Piezometer, 3. Lysimeter, 4. Elbow meter, 5. Pitot tube

(A)

1-c, 2-b, 3-a, 4-e, 5-d

(B)

1-c, 2-d, 3-a, 4-e, 5-b

(C)

1-d, 2-c, 3-e, 4-a, 5-b

(D)

1-c, 2-d, 3-a, 4-b, 5-e

Explanation

GATE→2023→Irrigation and Drainage Engineering→Soil-Water-Plant Relationship

Q47

MCQ[2 Marks]

It is planned to provide irrigation in a crop field having field capacity and permanent wilting point of the soil as $0.21\text{ cm}^{3}\text{cm}^{-3}$ and $0.09\text{ cm}^{3}\text{cm}^{-3}$, respectively. The crop root zone depth is 0.90 m. The growing period of this crop is $1^{\text{st}}$ January to 31st March, during which the observed reference evapotranspiration ($ET_{r}$), effective rainfall ($P_{e}$) and crop coefficients ($K_{c}$) are listed below. Considering management allowable deficit (MAD) for this crop as 50%, the average irrigation interval during the growing period in days is [Table provided for Jan, Feb, Mar]

(A)

4

(B)

6

(C)

8

(D)

11

Explanation

GATE→2023→Irrigation and Drainage Engineering→Agricultural Drainage

Q48

NAT[2 Marks]

A salt affected crop field is to be leached with irrigation water having salt concentration of 3.5 meq $\text{L}^{-1}$. Salt concentration in the saturation extract of soil is 15.2 meq $\text{L}^{-1}$. Leaching efficiency of the field is 55%. In the month of March, the observed reference evapotranspiration and effective rainfall in this area are 150 mm and 75 mm, respectively. If the average crop coefficient in this month is 1.05, the leaching requirement for the entire month in mm is ___ (rounded off to 2 decimal places).

Explanation

GATE→2023→Irrigation and Drainage Engineering→Wells and Pumps

Q49

NAT[2 Marks]

Discharge from a centrifugal pump operating at 1000 rpm with a total head of 30 m is $300\text{ L }\text{min}^{-1}$. The pump efficiency is 65%. If speed of the pump is increased to 1200 rpm, the power required to operate pump in kW is ___ (rounded off to 2 decimal places). Consider acceleration due to gravity $=9.81\text{ m }\text{s}^{-2}$.

Explanation

GATE→2023→Irrigation and Drainage Engineering→Groundwater Hydrology

Q50

NAT[2 Marks]

A 0.30 m diameter well penetrates an unconfined aquifer with a saturated depth of 40 m. After 8 hours of pumping at a steady rate of $0.03\text{ m}^{3}\text{s}^{-1}$, the drawdown in two observation wells located at 20 m and 50 m away from the pumping well are found to be 3 m and 2 m, respectively. The drawdown in the pumping well in m is ___ (rounded off to 1 decimal place, Consider $\pi=3.14$).

Explanation

Agricultural Process Engineering

8 Questions

GATE→2023→Agricultural Process Engineering→Size Reduction and Material Handling

Q51

MCQ[1 Mark]

If the diameter of fat globule in a cream separator is reduced to half and the rotational speed of the centrifuge increased to three times, the terminal settling velocity of fat globule is

(A)

decreased to 0.44 times

(B)

increased to 0.44 times

(C)

decreased to 2.25 times

(D)

increased to 2.25 times

Explanation

GATE→2023→Agricultural Process Engineering→Engineering Properties of Agricultural Produce

Q52

MSQ[1 Mark]

Identify the dimensionless parameter(s) from the following:

(A)

Cone index

(B)

Puddling index

(C)

Performance index

(D)

Reel index

Explanation

GATE→2023→Agricultural Process Engineering→Size Reduction and Material Handling

Q53

NAT[1 Mark]

The minimum fluidization height of 1.20 m is maintained during fluidized bed drying of carrots. The bed diameter of the fluidized bed dryer is 0.6 m. If mass and solid density of carrots are 250 kg and $1040\text{ kg}\text{ m}^{-3}$ respectively, then the porosity of the bed at the minimum fluidization condition is ___ (rounded off to 3 decimal places, Consider $\pi=3.14$).

Explanation

GATE→2023→Agricultural Process Engineering→Size Reduction and Material Handling

Q54

NAT[1 Mark]

The lighter liquid layer and the interphase layer in a basket centrifuge, rotating at a speed of 1000 rpm, are 0.1025 m and 0.105 m away from the center, respectively. Considering the densities of lighter and heavier liquids as 920 kg $\text{m}^{-3}$ and $1015\text{ kg}\text{ m}^{-3}$, the differential pressure in horizontal direction required to maintain the interphase layer in kPa is ___ (rounded off to 3 decimal places, Consider $\pi=3.14$).

Explanation

GATE→2023→Agricultural Process Engineering→Size Reduction and Material Handling

Q55

NAT[1 Mark]

The upstream and downstream pressures in a homogenizer during homogenization of milk are maintained at 250 bar and 10 bar, respectively. If density of milk is $1030\text{ kg}\text{ m}^{-3}$, then the velocity at which milk comes out of the homogenizing valve in m $\text{S}^{-1}$ is ___ (rounded off to 3 decimal places).

Explanation

GATE→2023→Agricultural Process Engineering→Size Reduction and Material Handling

Q56

MCQ[2 Marks]

In a juice filtration process, solid concentration per $\text{m}^{3}$ of filtrate is 0.2 kg. During filtration of $12.49\text{ m}^{3}$ of juice, 0.02 m thick cake (porosity of 0.32) is deposited. If 2.5 kg of solid is collected in 180 s, the pressure drop across the cake in kPa is [Absolute viscosity of juice is $2.12\times10^{-3}\text{ kg}\text{ m}^{-1}\text{s}^{-1}$, and specific cake resistance is $1.2\text{ x }10^{8}\text{ m kg}$]

(A)

0.18

(B)

1.81

(C)

18.06

(D)

180.60

Explanation

GATE→2023→Agricultural Process Engineering→Storage Systems

Q57

MCQ[2 Marks]

Cheese is packed in a bilayer plastic package made up of low density polyethylene (LDPE) and polyethylene terephthalate (PET). The thickness of LDPE and PET in the package are 1.5 mm and 1.3 mm, respectively. The surface area of the plastic package is $6.25\text{ cm}^{2}$. The partial pressure difference of oxygen across the package wall is 0.30 atm. The permeability coefficient of oxygen in LDPE and PET are $4.18\times10^{-8}\text{ cm}^{3}\text{ cm cm}^{-2}\text{s}^{-1}\text{atm}^{-1}$ and $1.67\times10^{-10}\text{ cm}^{3}\text{ cm cm}^{-2}\text{s}^{-1}\text{atm}^{-1}$, respectively. If the food gets spoiled when it absorbs 0.025 ml of oxygen, then the shelf life of food in days is

(A)

121

(B)

103

(C)

73

(D)

61

Explanation

GATE→2023→Agricultural Process Engineering→Evaporation and Drying

Q58

MSQ[2 Marks]

The percentage absolute humidity of air becomes equal to the percentage relative humidity, when

(A)

absolute humidity of air is relative humidity

(B)

saturated humidity of air is equal to relative humidity

(C)

air is almost or completely dry

(D)

air is almost or completely saturated

Explanation

Dairy and Food Engineering

7 Questions

GATE→2023→Dairy and Food Engineering→Preservation of Food

Q59

MCQ[1 Mark]

The microbial death kinetics for a food suspension follows the equation: $\log\frac{N_{0}}{N}=1+\frac{t-t_{l}}{D}$ where $N_{0}=$ initial microbial load, $N=$ microbial load after time t, $t_{l}=$ lag time and $D=$ decimal reduction time. The correct statement for this equation is

(A)

the time required to reduce 10% of the initial population is lag time.

(B)

the time required to reduce the initial 90% of population is lag time

(C)

time required to kill the first 90% population is lower than D value at the same temperature

(D)

lag time approaches D value as $N_{0}$ becomes smaller and temperature decreases.

Explanation

GATE→2023→Dairy and Food Engineering→Heat and Mass Transfer

Q60

MCQ[1 Mark]

The log mean temperature difference (LMTD) correction factor is not required during heat transfer rate calculation in

(A)

plate heat exchanger

(B)

1 shell pass and 1 tube pass heat exchanger

(C)

1 shell pass and 2 tube pass heat exchanger

(D)

2 shell pass and 4 tube pass heat exchanger

Explanation

GATE→2023→Dairy and Food Engineering→Preservation of Food

Q61

MCQ[2 Marks]

The rotor shaft of an ice cream freezer consists of 3 scraper blades. The temperature difference between the ice cream mix and the refrigerant during freezing of ice cream is $30^{\circ}\text{C}$ Density and latent heat of fusion of ice are $917\text{ kg }\text{m}^{-3}$ and $335\text{ kJ }\text{kg}^{-1}$, respectively. The overall heat transfer coefficient is $2000\text{ kJ }\text{m}^{-2}\text{h}^{-1~0}\text{C}^{-1}$. If the maximum thickness of ice formed before being scraped off is $10\mu\text{m}$ the minimum speed of the scraper shaft in rpm is

(A)

88

(B)

109

(C)

121

(D)

149

Explanation

GATE→2023→Dairy and Food Engineering→Heat and Mass Transfer

Q62

MSQ[2 Marks]

Dimensionless numbers play an important role in correlating transfer coefficients during forced convection. In relation to the dimensionless numbers, the correct statement(s) is/are

(A)

Prandtl number in heat transfer is analogous to Schmidt number in mass transfer

(B)

Small value of Prandtl number signifies lower thermal diffusion as compared to momentum diffusion

(C)

Prandtl number is the ratio of momentum diffusivity to the thermal diffusivity of the fluid

(D)

Lewis number is the product of Schmidt number and Prandtl number

Explanation

GATE→2023→Dairy and Food Engineering→Heat and Mass Transfer

Q63

NAT[2 Marks]

The apparent wall shear stress in a 0.6 m long pipe line carrying refined oil is 12.5 Pa. If the pressure drop along the length is 300 Pa and flow rate is $0.25\text{ m}^{3}\text{s}^{-1}$, the absolute viscosity of oil in $10^{-3}$ Pas is ___ (rounded off to 3 decimal places).

Explanation

GATE→2023→Dairy and Food Engineering→Preservation of Food

Q64

NAT[2 Marks]

The carrot slices (water activity $=0.89$) are to be preserved using osmo-dehydration. Addition of salt (NaCl) to 20% sucrose solution (water activity $=0.987$) reduces the water activity to 0.85. Percentage of NaCl added to the solution is ___ (rounded off to 2 decimal places). Consider molecular mass of Sucrose $=342$ and molecular mass of NaCl $=58.44$

Explanation

GATE→2023→Dairy and Food Engineering→Heat and Mass Transfer

Q65

NAT[2 Marks]

A copper ball and a steel ball having diameters $d_{1}$ and $d_{2}$, respectively, are initially at a uniform temperature of $200^{\circ}\text{C}$. Both the balls are exposed to the atmosphere at $30^{\circ}\text{C}$. If both the balls attain a temperature of $120^{\circ}\text{C}$ after equal exposure duration, then the ratio of $d_{1}$ to $d_{2}$ is ___ (rounded off to 3 decimal places). Assume Biot Number to be less than 0.1. The thermo-physical properties of copper and steel are given below: [Table: Copper & Steel density, specific heat, thermal conductivity]

Explanation