gate solved question papers for agricultural engineering [ag] by aglasem.com

SOLVED PAPERS

GATEAGRICULTURAL ENGINEERING (AG)

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A comprehensive study guide for GATE

CONTENTS

• Introduction• Question Paper Pattern• Design of Questions• Marking Scheme• Syllabus• Previous Year Solved Papers

o Solved Question Paper 2014o Answer Key 2014o Solved Question Paper 2013o Answer Key 2013o Solved Question Paper 2012o Answer Key 2012

Introduction

The Graduate Aptitude Test in Engineering (GATE) is the all India level examination

conducted by the Indian Institute of Science and seven Indian Institutes of Technology

(IITs).

A crucial part of GATE preparation is to solve and practice using previous year GATE

papers. Solving previous year GATE papers help the candidate in understanding the exam

pattern, knowing the level of difficulty of questions, and analyzing preparation.

While attempting to solve any previous year GATE paper, it is advisable that it is done in a

simulated test environment. This means, that the candidate sets a timer to countdown to

test time, makes sure there is no other distraction, and then sits down to take the test as if

he / she is in the exam hall. After attempting the paper, check how many questions you

could get right in the first attempt. Analyse the strong and weak areas of preparation, and

accordingly devise a study schedule or revision pattern. After going through those areas

where in the first attempt could not do well, try the next paper.

Almost all of the engineering colleges in India take admission in M.Tech courses on the

basis of GATE scores. Apart from that, PSUs also recruit students directly on this basis.

To score high in this elite examination is tough, but quite achievable.

GATE Previous Year Solved Papers by

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Question Paper Pattern

In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10

questions carrying a total of 15 marks are in General Aptitude (GA).

In the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PI, TF and

XE, the Engineering Mathematics will carry around 13% of the total marks, the General

Aptitude section will carry 15% of the total marks and the remaining percentage of the

total marks is devoted to the subject of the paper.

In the papers bearing the codes AR, CY, EY, GG, MA, PH and XL, the General Aptitude

section will carry 15% of the total marks and the remaining 85% of the total marks is

devoted to the subject of the paper.

GATE would contain questions of two different types in various papers:

(i) Multiple Choice Questions (MCQ) carrying 1 or 2 marks each in all papers and

sections. These questions are objective in nature, and each will have a choice of four

answers, out of which the candidate has to mark the correct answer(s).

(ii) Numerical Answer Questions of 1 or 2 marks each in all papers and sections. For

these questions the answer is a real number, to be entered by the candidate using the

virtual keypad. No choices will be shown for this type of questions.


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Design of Questions

The questions in a paper may be designed to test the following abilities:

(i) Recall: These are based on facts, principles, formulae or laws of the discipline of the

paper. The candidate is expected to be able to obtain the answer either from his/her

memory of the subject or at most from a one-line computation.

(ii) Comprehension: These questions will test the candidate's understanding of the

basics of his/her field, by requiring him/her to draw simple conclusions from fundamental

ideas.

(iii) Application: In these questions, the candidate is expected to apply his/her

knowledge either through computation or by logical reasoning.

(iv) Analysis and Synthesis: In these questions, the candidate is presented with data,

diagrams, images etc. that require analysis before a question can be answered. A Synthesis

question might require the candidate to compare two or more pieces of information.

Questions in this category could, for example, involve candidates in recognising unstated

assumptions, or separating useful information from irrelevant information.


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Marking Scheme

For 1-mark multiple-choice questions, 1/3 marks will be deducted for a wrong answer.

Likewise, for2-marks multiple-choice questions, 2/3 marks will be deducted for a wrong

answer. There is no negative marking for numerical answer type questions.

General Aptitude (GA) Questions

In all papers, GA questions carry a total of 15 marks. The GA section includes 5 questions

carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2 marks each (sub-total

10 marks).

Question Papers other than GG, XE and XL

These papers would contain 25 questions carrying 1 mark each (sub-total 25 marks) and

30 questions carrying 2 marks each (sub-total 60 marks). The question paper will consist of

questions of multiple choice and numerical answer type. For numerical answer questions,

choices will not be given. Candidates have to enter the answer (which will be a real

number, signed or unsigned, e.g. 25.06, -25.06, 25, -25 etc.) using a virtual keypad. An

appropriate range will be considered while evaluating the numerical answer type

questions so that the candidate is not penalized due to the usual round-off errors.

GG (Geology and Geophysics) Paper

Apart from the General Aptitude (GA) section, the GG question paper consists of two parts:

Part A and Part B. Part A is common for all candidates. Part B contains two sections: Section

1 (Geology) and Section 2 (Geo-physics). Candidates will have to attempt questions in Part

A and either Section 1 or Section 2 in Part B.

Part A consists of 25 multiple-choice questions carrying 1-mark each (sub-total 25 marks

and some of these may be numerical answer type questions). Each section in Part B

(Section 1 and Section 2) consists of 30 multiple choice questions carrying 2 marks each

(sub-total 60 marks and some of these may be numerical answer type questions).

XE Paper (Engineering Sciences)


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In XE paper, Engineering Mathematics section (Section A) is compulsory. This section

contains 11 questions carrying a total of 15 marks: 7 questions carrying 1 mark each (sub-

total 7 marks), and 4 questions carrying 2 marks each (sub-total 8 marks). Some questions

may be of numerical answer type questions.

Each of the other sections of the XE paper (Sections B through G) contains 22 questions

carrying a total of 35 marks: 9 questions carrying 1 mark each (sub-total 9 marks) and 13

questions carrying 2 marks each (sub-total 26 marks). Some questions may be of

numerical answer type.

XL Paper (Life Sciences)

In XL paper, Chemistry section (Section H) is compulsory. This section contains 15

questions carrying a total of 25 marks: 5 questions carrying 1 mark each (sub-total 5 marks)

and 10 questions carrying 2-marks each (sub-total 20 marks). Some questions may be of


Each of the other sections of the XL paper (Sections I through M) contains 20 questions

carrying a total of 30 marks: 10 questions carrying 1 mark each (sub-total 10 marks) and 10

questions carrying 2 marks each (sub-total 20 marks). Some questions may be of


Note on Negative Marking for Wrong Answers

For a wrong answer chosen for the multiple choice questions, there would be negative

marking. For1-mark multiple choice questions, 1/3 mark will be deducted for a wrong

answer. Likewise, for 2-mark multiple choice questions, 2/3 mark will be deducted for a

wrong answer. However, there is no negative marking for a wrong answer in numerical

answer type questions.


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Syllabus for Agricultural Engineering (AG)

ENGINEERING MATHEMATICS

Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and

eigen vectors.

Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima;

Sequences and series; Test for convergence; Fourier series.

Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals;

Stokes, Gauss and Green’s theorems.

Differential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs

with constant coefficients; Cauchy’s and Euler’s equations; Laplace transforms; PDEs -

Laplace, heat and wave equations.

Probability and Statistics: Mean, median, mode and standard deviation; Random

variables; Poisson, normal and binomial distributions; Correlation and regression analysis.

Numerical Methods: Solutions of linear and non-linear algebraic equations; integration of

trapezoidal and Simpson’s rule; single and multi-step methods for differential equations.

FARM MACHINERY AND POWER

Sources of power on the farm-human, animal, mechanical, electrical, wind, solar and

biomass; bio-fuels; design and selection of machine elements – gears, pulleys, chains and

sprockets and belts; overload safety devices used in farm machinery; measurement of

force, torque, speed, displacement and acceleration on machine elements.

Soil tillage; forces acting on a tillage tool; hitch systems and hitching of tillage implements;

mechanics of animal traction; functional requirements, principles of working, construction

and operation of manual, animal and power operated equipment for tillage, sowing,

planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting,

harvesting, threshing and transport; testing of agricultural machinery and equipment;

calculation of performance parameters -field capacity, efficiency, application rate and

losses; cost analysis of implements and tractors


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Thermodynamic principles of I.C. engines; I.C. engine cycles; engine components; fuels

and combustion; lubricants and their properties; I.C. engine systems – fuel, cooling,

lubrication, ignition, electrical, intake and exhaust; selection, operation, maintenance and

repair of I.C. engines; power efficiencies and measurement; calculation of power, torque,

fuel consumption, heat load and power losses.

Tractors and power tillers – type, selection, maintenance and repair; tractor clutches and

brakes; power transmission systems – gear trains, differential, final drives and power take-

off; mechanics of tractor chassis; traction theory; three point hitches- free link and

restrained link operations; mechanical steering and hydraulic control systems used in

tractors; human engineering and safety in tractor design; tractor tests and performance.

SOIL AND WATER CONSERVATION ENGINEERING

Ideal and real fluids, properties of fluids; hydrostatic pressure and its measurement;

hydrostatic forces on plane and curved surface; continuity equation; Bernoulli’s theorem;

laminar and turbulent flow in pipes, Darcy- Weisbach and Hazen-Williams equations,

Moody’s diagram; flow through orifices and notches; flow in open channels.

Engineering properties of soils; fundamental definitions and relationships; index

properties of soils; permeability and seepage analysis; shear strength, Mohr’s circle of

stress, active and passive earth pressures; stability of slopes.

Hydrological cycle; meteorological parameters and their measurement, analysis of

precipitation data; abstraction from precipitation; runoff; hydrograph analysis, unit

hydrograph theory and application; stream flow measurement; flood routing, hydrological

reservoir and channel routing.

Measurement of distance and area; chain surveying, methods of traversing; measurement

of angles and bearings, plane table surveying; types of levelling; contouring; instruments

for surveying and levelling; computation of earth work.

Mechanics of soil erosion, soil erosion types; wind and water erosion; factors affecting

erosion; soil loss estimation; biological and engineering measures to control erosion;

terraces and bunds; vegetative waterways; gully control structures, drop, drop inlet and


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chute spillways; earthen dams; water harvesting structures, farm ponds, watershed

management.

Soil-water-plant relationship, water requirement of crops; consumptive use and evapo-

transpiration; irrigation scheduling; irrigation efficiencies; design of irrigation channels;

measurement of soil moisture, irrigation water and infiltration; surface, sprinkler and drip

methods of irrigation; design and evaluation of irrigation methods.

Drainage coefficient; planning, design and layout of surface and sub-surface drainage

systems; leaching requirement and salinity control; irrigation and drainage water quality.

Groundwater occurrence confined and unconfined aquifers, evaluation of aquifer

properties; well hydraulics; groundwater recharge.

Classification of pumps; pump characteristics; pump selection and installation.

AGRICULTURAL PROCESSING AND FOOD ENGINEERING

Steady state heat transfer in conduction, convection and radiation; transient heat transfer

in simple geometry; condensation and boiling heat transfer; working principles of heat

exchangers; diffusive and convective mass transfer; simultaneous heat and mass transfer

in agricultural processing operations.

Material and energy balances in food processing systems; water activity, sorption and

desorption isotherms; centrifugal separation of solids, liquids and gases; kinetics of

microbial death – pasteurization and sterilization of liquid foods; preservation of food by

cooling and freezing; refrigeration and cold storage basics and applications; psychrometry

– properties of air-vapour mixture; concentration and drying of liquid foods – evaporators,

tray, drum and spray dryers.

Mechanics and energy requirement in size reduction of granular solids; particle size

analysis for comminuted solids; size separation by screening; fluidization of granular

solids-pneumatic, bucket, screw and belt conveying; cleaning and grading; Effectiveness

of grain cleaners.

Hydrothermal treatment, drying and milling of cereals, pulses and oilseeds; Processing of

seeds, spices, fruits and vegetables; By-product utilization from processing industries.


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Controlled and modified atmosphere storage; Perishable food storage, godowns, bins and

grain silos

Syllabus for General Aptitude (GA)

Verbal Ability: English grammar, sentence completion, verbal analogies, word groups,

instructions, critical reasoning and verbal deduction.

Numerical Ability: Numerical computation, numerical estimation, numerical reasoning

and data interpretation.


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GATEPrevious Year Solved Papers

Agricultural Engineering – AG

2012 - 14


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Duration: 180 minutes Maximum Marks: 100

Read the following instructions carefully.

1. To login, enter your Registration Number and password provided to you. Kindly go through the various

symbols used in the test and understand their meaning before you start the examination.

2. Once you login and after the start of the examination, you can view all the questions in the question

paper, by clicking on the View All Questions button in the screen.

3. This question paper consists of 2 sections, General Aptitude (GA) for 15 marks and the subject

specific GATE paper for 85 marks. Both these sections are compulsory.

The GA section consists of 10 questions. Question numbers 1 to 5 are of 1-mark each, while question

numbers 6 to 10 are of 2-mark each.

The subject specific GATE paper section consists of 55 questions, out of which question numbers 1 to

25 are of 1-mark each, while question numbers 26 to 55 are of 2-mark each.

4. Depending upon the GATE paper, there may be useful common data that may be required for

answering the questions. If the paper has such useful data, the same can be viewed by clicking on the

Useful Common Data button that appears at the top, right hand side of the screen.

5. The computer allotted to you at the examination center runs specialized software that permits only one

answer to be selected for multiple-choice questions using a mouse and to enter a suitable number for

the numerical answer type questions using the virtual keyboard and mouse.

6. Your answers shall be updated and saved on a server periodically and also at the end of the

examination. The examination will stop automatically at the end of 180 minutes.

7. In each paper a candidate can answer a total of 65 questions carrying 100 marks.

8. The question paper may consist of questions of multiple choice type (MCQ) and numerical answer

type.

9. Multiple choice type questions will have four choices against A, B, C, D, out of which only ONE is the

correct answer. The candidate has to choose the correct answer by clicking on the bubble (⃝) placed

before the choice.

10. For numerical answer type questions, each question will have a numerical answer and there will not be

any choices. For these questions, the answer should be enteredby using the virtual keyboard that

appears on the monitor and the mouse.

11. All questions that are not attempted will result in zero marks. However, wrong answers for multiple

choice type questions (MCQ) will result in NEGATIVE marks. For all MCQ questions a wrong

answer will result in deduction of⅓ marks for a 1-mark question and ⅔ marks for a 2-mark question.

12. There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE.

13. Non-programmable type Calculator is allowed. Charts, graph sheets, and mathematical tables are NOT

allowed in the Examination Hall. You must use the Scribble pad provided to you at the examination

centre for all your rough work. The Scribble Pad has to be returned at the end of the examination.

Declaration by the candidate:

“I have read and understood all the above instructions. I have also read and understood clearly the

instructions given on the admit card and shall follow the same. I also understand that in case I am found to

violate any of these instructions, my candidature is liable to be cancelled. I also confirm that at the start of

the examination all the computer hardware allotted to me are in proper working condition”.

GATE 2014 Solved Paper

AG: Agricultural Engineering


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Q. 1 – Q. 5 carry one mark each.

Q.1 Choose the most appropriate word from the options given below to complete the following

sentence.

A person suffering from Alzheimer’s disease short-term memory loss.

(A) experienced (B) has experienced

(C) is experiencing (D) experiences

Q.2 Choose the most appropriate word from the options given below to complete the following

sentence.

____________ is the key to their happiness; they are satisfied with what they have.

(A) Contentment (B) Ambition (C) Perseverance (D) Hunger

Q.3 Which of the following options is the closest in meaning to the sentence below?

“As a woman, I have no country.”

(A) Women have no country.

(B) Women are not citizens of any country.

(C) Women’s solidarity knows no national boundaries.

(D) Women of all countries have equal legal rights.

Q.4 In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the

Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes

is ____ years.

Q.5 The population of a new city is 5 million and is growing at 20% annually. How many years would

it take to double at this growth rate?

(A) 3-4 years (B) 4-5 years (C) 5-6 years (D) 6-7 years

Q. 6 – Q. 10 carry two marks each.

Q.6 In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the

group. Which of the following statements is/are required to find the eldest child in the group?

Statements 1. Shiv is younger to Riaz.

2. Shiv is elder to Som.

(A) Statement 1by itself determines the eldest child.

(B) Statement 2 by itself determines the eldest child.

(C) Statements 1 and 2 are both required to determine the eldest child.

(D) Statements 1 and 2 are not sufficient to determine the eldest child.

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Q.7 Moving into a world of big data will require us to change our thinking about the merits of

exactitude. To apply the conventional mindset of measurement to the digital, connected world of

the twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with

exactness is an artefact of the information-deprived analog era. When data was sparse, every data

point was critical, and thus great care was taken to avoid letting any point bias the analysis.

From “BIG DATA” Viktor Mayer-Schonberger and Kenneth Cukier

The main point of the paragraph is:

(A) The twenty-first century is a digital world

(B) Big data is obsessed with exactness

(C) Exactitude is not critical in dealing with big data

(D) Sparse data leads to a bias in the analysis

Q.8 The total exports and revenues from the exports of a country are given in the two pie charts below.

The pie chart for exports shows the quantity of each item as a percentage of the total quantity of

exports. The pie chart for the revenues shows the percentage of the total revenue generated through

export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total

revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1

per kilogram to the revenue generated through export of Item 4 per kilogram?

(A) 1:2 (B) 2:1 (C) 1:4 (D) 4:1

Q.9 X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is

1 km east of P. What is the distance between X and Q in km?

(A) 1 (B) √2 (C) √3 (D) 2

Q.10 10% of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this

kit correctly identifies HIV+ individuals 95% of the time, and HIV

− individuals 89% of the time. A

particular patient is tested using this kit and is found to be positive. The probability that the

individual is actually positive is _______

END OF THE QUESTION PAPER

Item 1

11%

Item 2

20%

Item 3

19%Item 4

22%

Item 5

12%

Item 6

16%

Exports

Item 1

12%

Item 2

20%

Item 3

23%

Item 4

6%

Item 5

20%

Item 6

19%

Revenues

GATE 2014 General Aptitude -GA


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Q.1 If two independent variables X and Y are uncorrelated then

(A) �� (�,�) = 0 (B) �� (�,�) > 0

(C) �� (�,�) < 0 (D) −1 < �� (�,�) < 1

Q.2 A partial differential equation containing dependent variable u is given by

A �2��2

+ 2� �2�� + � �2��2

+ � �� + � �� + � � + � = 0

where A, B, C, D, E, F and G are constants or functions of independent variables x or y only. Also G ≠ 0. The nature of the equation is

(A) Linear and homogeneous (B) Non-linear and homogeneous

(C) Linear and non-homogeneous (D) Non-linear and non-homogeneous

Q.3 If �(�,�) = 3�2 − 4�� + 2�2, the summation of �� and

�� for � = 1 and � = 2 is _______.

Q.4 The brake power of a four-cylinder engine is 30 kW with all cylinders firing and 20 kW with any

one cylinder cut. The mechanical efficiency of the engine in percent is

(A) 60 (B) 67 (C) 75 (D) 83

Q.5 A tractor is provided with an Ackerman steering gear mechanism. If b is the wheel base, c the

distance between the front wheel pivot points, θ the steering angle of the inner wheel and φ the

steering angle of the outer wheel, the fundamental relationship to be satisfied to avoid skidding of

the two front wheels during a turn is given by

(A) �� − �� = �� (B) �� − �� =

��

(C) �� − �� = �� (D) �� − �� =

��

Q.6 Match the processes given in Group-I with the derived products given in Group-II.

(A) i-a; ii-c; iii-b; iv-d (B) i-d; ii-c; iii-b; iv-a

(C) i-b; ii-d; iii-a; iv-c (D) i-d; ii-a; iii-b; iv-c

Q.7 While operating a pedal thresher, 14 kg of paddy seed remained unthreshed for a throughput of

112 kg. If the quantity of the threshed seed obtained was 70 kg, the threshing efficiency in percent

is

(A) 62.50 (B) 80.00 (C) 83.33 (D) 87.50

Group-I Group-II

i. Transesterification a. Producer gas

ii. Pyrolysis b. Ethanol

iii.

iv.

Yeast fermentation

Anaerobic digestion

c.

d.

Biogas

Biodiesel

GATE 2014 Agricultural - AG


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Q.8 The pitch of the chain used in a chain drive motion is 38 mm. If the number of teeth on one of the

sprockets is 35, the pitch circle diameter of the sprocket in m is_________.

Q.9 A tractor tyre contains 31 L of air at a pressure of 190 kPa and a temperature of 30oC. Using

R=8.314 J (gmol)-1

K-1

and molecular mass of air = 29 g (gmol)-1

, the mass of air contained in the

tyre is M × 10-3

kg. The value of M is________.

Q.10 A flywheel and clutch assembly weighs 200 N and has a radius of gyration 150 mm. If the engine

speed is 3000 rpm, the kinetic energy possessed by the rotating assembly in kJ is_______.

Q.11 A vertical conveyor reaper costing Rs. 75000 has a useful life of 8 years. Taking salvage value of

the machine as 10% of the initial cost, the depreciated value after half of its useful life following

straight line method will be Rs. ________.

Q.12 For a fully developed laminar flow through a smooth pipe, the relationship between friction factor

(f) and Reynolds number (Re) is

(A) � ∝ (��) (B) � ∝ (��)−1 (C) � ∝ (��)2 (D) � ∝ (��)− 2

Q.13 The process of determining the elevation of different points in a vertical plane is known as

(A) Levelling (B) Surveying (C) Contouring (D) Tacheometry

Q.14 An imaginary surface obtained by joining the water levels in several observation wells driven in a

confined aquifer is known as

(A) Phreatic surface (B) Piezometric surface

(C) Capillary fringe (D) Water table

Q.15 Several identical sprinkler nozzles, each having discharge Q (litre per minute), are spaced in a grid

of size L (metre) × S (metre). The application rate in mm h-1

is

(A) 60 �� (B)

3600 �� (C) � �

60 � (D) � �

3600 �

Q.16 A 20 m chain used for surveying is found to be actually 19.7 m. If the actual distance is 1200 m,

the chain distance in m will be________.

Q.17 The brake power of a centrifugal pump having an impeller diameter of 200 mm is 1.86 kW. If the

impeller is replaced with another impeller of 180 mm diameter, the brake power of the pump in kW

will be _________.

Q.18 The discharge of a single suction centrifugal pump operating against a total head of 12 m is

50 L s-1

. If the pump is directly connected to a motor operating at 1440 rpm, the specific speed of

the pump will be_______.

Q.19 A fat rich food product remains most stable in the water activity (aw) range of

(A) aw < 0.1 (B) 0.1 < aw < 0.2 (C) 0.3 < aw < 0.4 (D) 0.5 < aw < 0.6



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Q.20 Identify the INCORRECT statement about the relevance of various dimensionless numbers in

transport processes

(A) Reynolds number is relevant in forced convection and Grashof number is relevant in natural

convection

(B) Prandtl number is relevant in heat transfer and Schmidt number is relevant in mass transfer

(C) Biot number is relevant in heat transfer and Froude number is relevant in mass transfer

(D) Nusselt number is relevant in heat transfer and Sherwood number is relevant in mass transfer

Q.21 Select the most appropriate option about boiling and condensation processes as expressed by the

statements P, Q and R.

P – The quantities of heat involved in evaporation and condensation of unit mass of fluid

are identical

Q – The boiling and condensation of a single compound normally occur isothermally

R – The condensation is achieved at or below dew point and boiling occurs at triple point

(A) All P, Q and R are true (B) Only P and Q are true

(C) Only P is true (D) Only Q is true

Q.22 With increasing grain height in a deep cylindrical grain bin, the pressure at its base will

(A) decrease initially and then increase

(B) increase initially and then decrease

(C) decrease initially and then remain constant

(D) increase initially and then remain constant

Q.23 The observations recorded in a pulse de-husking operation are:

S. No. Parameters Before de-husking After de-husking

1. Whole (split) kernel content,% 0.5 72.3

2. Broken kernel content, % 0.7 11.2

3. Mealy waste content, % 1.1 16.5

For this operation the effectiveness of wholeness (in decimal) of kernels will be ________.

Q.24 Oil yield (Yo) of mustard after N days of flowering is expressed as

Yo = − 0.0018 N 2 + 0.1319 N − 0.743

For maximum oil yield, optimum stage of harvesting, in days after flowering is,

(A) 23 (B) 29 (C) 37 (D) 39



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Q.25 In a tray drying under adiabatic process, hot air enters the dryer at 50oC dry bulb temperature

(DBT) and 10% relative humidity (RH) with enthalpy of 70.2 kJ per kg dry air. The air leaving the

dryer gains 20% moisture. Considering saturated water vapour pressure as 12.349 kPa at 50oC

DBT, the enthalpy of air leaving the dryer in kJ per kg dry air is __________.

Q. 26 – Q. 55 carry two marks each.

Q.26 The eigenvalues of the matrix A = � 2 2 −1 5 � are

(A) 1 and 2 (B) 2 and 3 (C) 3 and 4 (D) 4 and 5

Q.27 The value of line integral � = ∫ {(�2 �) �� + (� − �)�� + (��) ��}

c, where C is the arc of the

parabola � = �2 in the plane � = 2 from P (0, 0, 2) to Q (1, 1, 2), is

(A) − 43

15 (B)

43

15 (C) −

17

15 (D)

17

15

Q.28 Consider the following set of linear equations

�1 + �2 + �3 = 6

2�1 + 2�2 + 3�3 = 14

3�1 + �2 + 2�3 = 14

The solution for this set exists only when the value of �2 is _________.

Q.29 If �(�) is a normal distribution with mean 8 and standard deviation 1, the value of �(�) for � = 10

is

(A) 0.05 (B) 0.14 (C) 0.25 (D) 0.73

Q.30 The value of ∫ �� 2�1+�� /2

0 is

(A) 0 (B) �2− 1 (C) 2 (D)

�2

+ 1

Q.31 A four-stroke, four-cylinder diesel engine running at 2000 rpm develops brake power of 60 kW and

the fuel consumption is 0.30 kg kW-1

h-1

. The engine has a bore of 120 mm and stroke of 100 mm.

If air-fuel ratio is 15:1 and air density is 1.15 kg m-3

, the volumetric efficiency of the engine in

percent is

(A) 43.25 (B) 66.32 (C) 75.22 (D) 86.50

Q.32 A four-wheel-drive tractor has a static weight of 50 kN with 40% weight on rear axle and 60% on

front axle. The wheel base is 2 m. The tractor is pulling a disc harrow that exerts a level drawbar

pull at a hitch height of 0.5 m from the ground. During the operation, when the dynamic reaction on

each axle is same, the dynamic traction ratio developed by the tractor is

(A) 0.2 (B) 0.4 (C) 0.5 (D) 0.8



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Q.33 A knapsack sprayer is provided with a nozzle having rated delivery of 0.5 L min-1

at a pressure of

270 kPa. For a pressure setting of 210 kPa, the application rate per unit orifice area is

0.24 L cm-2

s-1

. If the coefficient of discharge of the nozzle is 0.75, the diameter of the nozzle orifice

in mm is

(A) 1.71 (B) 1.76 (C) 2.28 (D) 2.59

Q.34 The day length (sunshine hours) on 31st May 2014 at a place in India (26

o18’ N, 73

o01’ E) will

be___________.

Q.35 A tractor gear box has 8 forward speeds. The speed ratios (number of engine revolutions for one

revolution of driving wheel) vary in exact geometrical progression. If the speed ratios in highest

and lowest gears are 14.9 and 108.8, respectively, the geometric constant is ___________.

Q.36 A multi-disc clutch has 4 steel discs and 3 bronze discs. The outside and inside diameters of contact

surfaces are 250 mm and 180 mm, respectively. The coefficient of friction is 0.3 and axial force is

400 N. Assuming uniform wear, the power in kW that the clutch can transmit at 1000 rpm is _____.

Q.37 A cultivator with a working width of 1.2 m utilizes 95% of its width due to overlapping while

operating at a forward speed of 2 km h-1

. If the time lost in turning and other interruptions is

50 minutes per hectare, the field efficiency of the cultivator in percent is

(A) 79.84 (B) 83.34 (C) 86.97 (D) 90.20

Q.38 A two-row horizontal plate potato planter with 0.6 m ridge spacing has 9 cups on each seed plate of

0.4 m diameter. For each revolution of the ground wheel, the seed plate makes half a revolution.

The diameter of the ground wheel is 0.5 m. If the planter uses cut tubers each of 25 g mass, the seed

rate in kg ha-1

is ____________.

Q.39 A hydraulic circuit uses a pump having a fixed displacement volume of 12.5 cm3 rev

-1 driven at

1500 rpm. The pump has a volumetric efficiency of 85% and an overall efficiency of 75%. If the

system pressure is set at 15 MPa by the relief valve, the power required to drive the pump in kW

will be

(A) 2.99 (B) 4.53 (C) 5.31 (D) 7.53

Q.40 A 200 m long horizontal pipe carries a discharge of 50 L s-1

. The centre line of the pipe is 5 m

above the datum. The diameter of the pipe tapers from 200 mm to 100 mm. Using g = 9.81 m s–2

and neglecting losses in the pipe, if the pressure at the larger end of the pipe is 100 kPa, the

pressure at the other end of the pipe in kPa is __________.

Q.41 A tile drainage system having 200 mm diameter lateral of 400 m length is used to drain an area

with a drainage coefficient of 40 mm. Manning’s roughness coefficient for the drain pipe is 0.01.

Drain pipes are laid at 0.3% slope. The spacing of the tile drain in m is __________.



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Q.42 A crop has effective root zone depth of 1200 mm and monthly (30 days) crop evapotranspiration of

260 mm. The effective rainfall during 30 days period is 20 mm. The field capacity and permissible

soil moisture depletion (volume basis) are 16% and 8%, respectively. The irrigation interval in days

for the crop will be

(A) 30 (B) 18 (C) 12 (D) 8

Q.43 In a citrus orchard, planting is done at a spacing of 5 m × 5 m. The daily pan evaporation of the

orchard is 6 mm. The pan coefficient, wetting factor (crop canopy factor) and crop coefficient are

0.8, 0.6 and 0.6, respectively. Four drippers each of 4 L h-1

discharge are used to irrigate each

plant. The time of operation of drip irrigation system in hours will be

(A) 2.7 (B) 4.5 (C) 16.2 (D) 19.8

Q.44 A 150 mm diameter well is driven fully in a confined aquifer of thickness 12 m. When pumping is

done at a constant rate of 150 L min-1

for 10 h, the steady-state draw-downs are found to be 2.20 m

and 0.02 m at distances of 14 m and 50 m, respectively from the centre of the well. The hydraulic

conductivity of the aquifer in m day -1

is ___________.

Q.45 A triangular 5-hour unit hydrograph (UH1) of a catchment area of 400 km2 has a peak discharge of

60 m3 s

-1. Another triangular 5-hour unit hydrograph (UH2) having the same base width as UH1 has

a peak flow of 90 m3 s

-1. The catchment area corresponding to UH2 in km

2 is

(A) 267 (B) 600 (C) 750 (D) 867

Q.46 A watershed has 1.8 km2

of cultivated area, 2.2 km2 of forest land and 1.4 km

2 of grassed area. The

runoff coefficient of cultivated area, forest land and grassed area are 0.25, 0.15 and 0.30,

respectively. The main drainage channel has a fall of 25 m in the total length of 2.5 km. The

Intensity-Duration-Frequency relationship for the watershed is expressed as,

� = 70 � 0.25

(�� + 15)0.4

where, I - intensity in cm h-1

, T - recurrence interval in years and tc - time of concentration in

minutes.

For a recurrence interval of 20 years, the peak rate of runoff for the watershed in m3s

-1

will be __________.

Q.47 Bench terraces are to be constructed on a 15% hill slope. The batter slope is 1:1 and vertical

interval is 2.5 m. The earth work in cutting is equal to filling. The quantum of earthwork in m3 ha

–1

will be

(A) 2656 (B) 2818 (C) 4248 (D) 5312

Q.48 A triangular shaped grassed waterway with a longitudinal slope of 2.5% is to carry a discharge of

1.5 m3 s

-1 with a permissible velocity of 1.2 m s

-1. The side slope of the channel is 1.5:1

(Horizontal:Vertical). Without considering free board, the top width of the channel in

m is _________.



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Q.49 A container having volume 282.7 cm3 and total surface area 245 cm

2 is completely filled with milk

whose initial temperature is 25oC. The continually stirred milk container is suddenly exposed to a

steam bath at 100oC. The overall heat transfer coefficient between steam and milk is

1136 W m-2

K-1

. The properties of milk are: specific heat capacity = 3.9 kJ kg-1

K-1

, thermal

conductivity = 0.54 W m-1

K–1

and density = 1030 kg m-3

. Neglecting thermal resistance and heat

capacity of container walls, the necessary time required in seconds to heat milk up to the

temperature of 85oC, will be ____________.

Q.50 In a continuous belt freezer, fish fillet at a feed rate of 1000 kg h–1

is frozen. The unfrozen fish

having moisture content of 85% (wet basis) enters the freezer at 25oC and complete frozen fish

exits at –20oC. Properties of fish are: latent heat of crystallization = 330 kJ kg

-1, fixed freezing point

= – 2.5oC, density = 1100 kg m

-3, specific heat capacity above freezing point=3.60 kJ kg

-1 K

-1 and

specific heat capacity below freezing point = 1.97 kJ kg-1

K-1

. Neglecting other heat losses in the

freezer, the power requirement of the compressor (in kW) having a coefficient of performance of

2.50 is,

(A) 43.8 (B) 46.0 (C) 51.5 (D) 61.7

Q.51 A centrifuge with rotational speed of 1440 rpm is used for separating oil from a dispersion in which

oil is present in the form of spherical globules of 47 µm diameter. The density of oil is 886 kg m-3

.

Separation occurs at an effective radius of 4 cm. Viscosity and density of water are

0.705 cP and 1000 kg m–3

, respectively. The velocity of oil through water, in mm s-1

, is

___________.

Q.52 Energy required to grind a given mass of particles from a mean diameter of 12 mm to 4 mm is

12 kJ kg- 1

. If energy consumed to grind the same mass of particles of 2 mm mean diameter to x mm

mean diameter is 252 kJ kg-1

, the value of x using Rittinger’s Law will be _______.

Q.53 A tray type paddy separator is used to separate paddy from a binary mixture of paddy and brown

rice fed at the rate of 1600 kg h-1

. Mass fractions of paddy in feed, separated paddy and separated

rice are 0.2, 0.7 and 0.02, respectively. The mass of 1000 paddy grains is 24.5 g. Separation

effectiveness and number of paddy grains recycled per second, respectively are

(A) 0.35 and 7373 (B) 0.93 and 3733 (C) 0.76 and 3773 (D) 0.83 and 3361

Q.54 M kg of wheat at 9.8% moisture content (wet basis) is conditioned for 6 hours in 75 kg of water. A

sample of 25 g conditioned wheat is crushed and dried in hot air oven at 130°C for 1 hour that

yields 20.5 g of bone dried material. The value of M is _______.

Q.55 In a food processing plant hot water at 90oC is needed at the rate of 140% of the commodity

capacity. Steam at atmospheric pressure is used for heating the water available at 25oC. Latent heat

of condensation at atmospheric pressure is 2257 kJ kg-1

, net calorific value of hull is 12552 kJ kg-1

and specific heat capacity of water is 4.184 kJ kg-1

K-1

. Steam is generated by utilizing the hulls

received as by-product from the same plant at the rate of 22% of the commodity capacity.

Assuming 20% heat loss, percentage of hull used with respect to the total available amount of hull

is _____________.




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GATE 2014 - Answer KeysAgricultural Engineering – AG

Q. No. Key / Range Q. No. Key / Range Q. No. Key / Range

1 D 5 A 9 C

2 A 6 A 10 0.48 to 0.49

3 C 7 C

4 25 to 25 8 D



1 A 20 C 39 C

2 C 21 B 40 80.2 to 81.5

3 2 to 2 22 D 41 118 to 129

4 C 23 0.73 to 0.74 42 C

5 B 24 C 43 A

6 D 25 70.0 to 70.3 44 1.20 to 1.70

7 C 26 C 45 B

8 0.42 to 0.48 27 C 46 85 to 95

9 66.7 to 67.9 28 1 to 1 47 A

10 22.2 to 22.7 29 A 48 2.70 to 2.75

11 41250 to

41250

30 B 49 65 to 66

12 B 31 D 50 B

13 A 32 B 51 17.5 to 18.5

14 B 33 C 52 0.249 to

0.251

15 A 34 13.50 to

13.55

53 D

16 1218.0 to

1218.5

35 0.74 to 0.76 54 749 to 751

17 1.35 to 1.36 36 8.0 to 8.2 55 82 to 83

18 49 to 50 37 A

19 C 38 1190 to 1250


____________________________________________________________

Paper specific instructions:

1. There are a total of 65 questions carrying 100 marks. Questions are of multiple choice type or

numerical answer type. A multiple choice type question will have four choices for the answer with

only one correct choice. For numerical answer type questions, the answer is a number and no choices will be given. A number as the answer should be entered using the virtual keyboard on the monitor.

2. Questions Q.1 – Q.25 carry 1mark each. Questions Q.26 – Q.55 carry 2marks each. The 2marks

questions include two pairs of common data questions and two pairs of linked answer questions. The

answer to the second question of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,

then the answer to the second question in the pair will not be evaluated.

3. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1mark each, and questions Q.61 – Q.65 carry 2marks each.

4. Questions not attempted will result in zero mark. Wrong answers for multiple choice type questions

will result in NEGATIVE marks. For all 1 mark questions, ⅓ mark will be deducted for each wrong

answer. For all 2 marks questions, ⅔ mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the

first question and no negative marks for wrong answer to the second question. There is no negative

marking for questions of numerical answer type.

5. Calculator is allowed. Charts, graph sheets or tables are NOT allowed in the examination hall.

6. Do the rough work in the Scribble Pad provided.

AG:AGRICULTURAL ENGINEERING Duration: Three Hours Maximum Marks:100



GATE 2013 Solved Paper

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Q.1 If P = A × B , where

2 1

3 0

A = and 1 3 0

2 1 2

B = ;

then P is

(A) 7 2

9 0

(B) 4 7 2

3 9 0

(C) 2 4

3 9

(D) 2 4 7

0 3 9

Q.2 If C = A × B , where A = 2i - j + 3k and B = i + 2j ;

then C is

(A) -6i + 3j + 5k (B) 6i + 3j – 5k (C) -6i + 2j + 3k (D) 6i + 2j + 5k

Q.3 The general solution of the differential equation

2

23 4 0

d y dyy

dx dx is

(A) 4x xAe Be (B) 4x xAe Be (C) 4x xAe Be (D) 4x xAe Be

Q.4 Eigenvalues of the matrix 2 1

3 2 are

(A) 2i (B) 2 3i (C) 2 3i (D) 2 3

Q.5 Poisson distribution having a mean of 5 will have √5 as

(A) median (B) mode

(C) standard deviation (D) variance

Q.6 During the testing of a spike-tooth type thresher for wheat crop, the throughput and the thresher

capacity were found to be 750 kg h1

and 445 kg h1

, respectively. The grain-straw ratio (grain : straw) of the crop is 1.5 : 1. Material other than grain (MOG) collected at the main grain outlet is

0.5%. The total grain loss in percentage from all the sources will be

(A) 0.33 (B) 0.50 (C) 1.11 (D) 1.61

Q.7 The rear furrow wheel in a tractor mounted disc plough is provided to

(A) reduce the frictional power loss

(B) maintain the uniform depth of cut

(C) reduce the side draft (D) improve the penetration of the plough

Q.8 The cumulative discharge of a tractor mounted hydraulic sprayer having 7 nozzles is 2.0 L min1

when the tractor is operated at 4 km h1

. If the nozzle spacing is 0.3 m, the discharge in L ha1

is

(A) 1000.02 (B) 285.72 (C) 166.67 (D) 142.86

Q.9 A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes

(A) equal speed and equal power distribution to both the drive wheels

(B) equal speed and equal torque distribution to both the drive wheels (C) equal power and equal torque distribution to both the drive wheels

(D) equal speed and unequal power distribution to both the drive wheels



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Q.10 A double acting hydraulic cylinder has a rod diameter equal to one-half the piston diameter. If the

system pressure is maintained constant, the ratio of load carrying capacity of extension stroke to that of retraction stroke is

(A) 0.75 (B) 1.00 (C) 1.33 (D) 4.00

Q.11 During a test, sound level was measured as 90 dB in the operator’s cabin on a tractor. Taking

reference sound pressure as 52 10 N m-2

, the measured RMS sound pressure in N m2

is

(A) 6.32 (B) 16.32 10 (C) 31.8 10 (D) 106.32 10

Q.12 During land leveling of agricultural land for irrigation and drainage purposes, the acceptable

deviation in elevation from the design value in metre is

(A) 0.015 (B) 0.025 (C) 0.055 (D) 0.150

Q.13 The gridiron pipe drainage system is more economical than the herringbone pipe drainage system because

(A) it is adopted in the fields which do not require complete drainage

(B) the number of main or sub-main lines is reduced

(C) the number of junctions and the double-drained area are reduced (D) it has only main or sub-main lines

Q.14 If the drainable porosity of a command area is 5% and the design rate of drop of the water table is

0.25 m day1

, the drainage coefficient of the command area in mm day1

will be

(A) 250 (B) 12.5 (C) 1.25 (D) 0.0125

Q.15 A soil has a void ratio of 0.75 and a specific gravity of 2.66. The value of critical hydraulic gradient

at which quick sand condition will occur is

(A) 0.95 (B) 1.05 (C) 2.09 (D) 6.64

Q.16 The pressure that does not have any measurable influence on the void ratio or shearing resistance of the soil mass is

(A) pore water pressure (B) intergranular pressure

(C) capillary pressure (D) surcharge pressure

Q.17 The Rational method is used to estimate

(A) runoff volume (B) peak runoff rate

(C) runoff depth (D) direct surface runoff

Q.18 Pan evaporation data recorded at a certain location over a period of one week are 4.0, 4.3, 4.6, 4.9, 5.12, 5.18, and 6.21 mm. If irrigation scheduling based on ratio of irrigation water (IW) to

cumulative pan evaporation (CPE) is practiced, the depth of irrigation at an interval of a week for

IW/CPE = 0.9 is

(A) 3.60 (B) 4.41 (C) 5.59 (D) 30.88

Q.19 A 16 m high wind break is constructed to protect soil from wind erosion due to wind velocity of 18

m s1

at 15 m height. The minimum wind velocity at 15 m height capable of moving the soil

fraction is 8 m s1

. The angle of deviation of prevailing wind direction from the perpendicular to the wind break is 30

o. The distance of full protection from the wind break in m is

(A) 60.44 (B) 104.69 (C) 306.00 (D) 530.01



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Q.20 Milk enters into the heating section of a high temperature short time (HTST) pasteurization plant at

a temperature of 45ºC and leaves at 72ºC. Hot water at temperature of 95 ºC enters counter-currently into the heat exchanger and leaves at 77ºC. The effectiveness of the heat exchanger is

(A) 0.18 (B) 0.36 (C) 0.54 (D) 0.84

Q.21 The equation representing the heat of respiration (q) of fruits and vegetables as a function of temperature (θ) with positive constants a and b is

(A) bq ae (B) bq ae

(C) ln( )q a b (D) q a b

Q.22 For an initial spore load equal to 25 spores per container inoculated with Clostridium botulinum

having D121= 0.25 min, the spoilage probability of the container subjected to F121 = 1.5 min is

(A) 510 (B) 610 (C) 810 (D) 910

Q.23 Slope and intercept of the BET equation relating / (1 )w w

a x a and aw, where aw is water activity

and x is the moisture content on dry basis, are 18 and 2, respectively. The values of thermodynamic constant C and BET monolayer moisture content xm (%) are respectively

(A) 40 and 20 (B) 30 and 15 (C) 20 and 10 (D) 10 and 5

Q.24 A cold storage chamber is constructed with 10 mm mortar, 200 mm brick, 100 mm insulation and 5 mm wood-board having thermal conductivities of 0.8, 1.5, 0.025 and 0.2 W m

-1 K

-1, respectively.

The resistance of 4 K m2 W

-1 is offered by

(A) mortar (B) brick (C) insulation (D) wood-board

Q.25 The horse power of the motor running the compressor of a refrigerator having COP of 4.5 and

extracting 200 kJ kg-1

of evaporating heat with 1.5 kg min-1

refrigerant flow rate is

(A) 0.5 (B) 1.0 (C) 1.5 (D) 2.0

Q. 26 to Q. 55 carry two marks each.

Q.26 2

( ) xf x e for x = 1.1, 1.2, 1.3, 1.4 and 1.5, the value of

1.5

1.1

( )f x dx by Simpson’s 1/3rd

rule is ______

Q.27 A tractor operated single acting trailing type disc harrow has 8 discs on each gang. The gang angle

of both the gangs is maintained at 35o. The horizontal component of resultant soil reaction force on

each disc is 600 N and it makes an angle of 30o with the gang axis. If the speed of operation is

6 km h1

, the required drawbar power in kW to operate the harrow will be _______________

Q.28 A two-wheel drive tractor pulls an implement that has a draft force of 11.5 kN. The total motion resistance of the tractor is 2.5 kN. Under these circumstances, the slip of the drive wheels is 20%. If

the power loss in transmission is 20%, the percentage of power lost in converting engine power into

drawbar power is _______________



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Q.29 An unconfined aquifer extends over an area of 1 km2 and has hydraulic conductivity, total porosity

and specific retention of 20 m per day, 30% and 10%, respectively. After pumping some groundwater from this aquifer, the water table dropped to a depth of 20 m from the ground level. If

the water table was initially at 14.5 m below the ground level, the change in groundwater storage in

million cubic meters would be _______________

Q.30 Two parallel canals 50 m apart fully penetrate a homogeneous unconfined aquifer resting on a

horizontal impermeable layer. The aquifer has a hydraulic conductivity of 3 m day1

and an effective porosity of 0.25. One-dimensional steady groundwater flow occurs from the upper canal

to the lower canal with the height of water levels in the canals 10 m and 8.5 m from the aquifer bottom, respectively. If a sediment layer of 4 cm thick with hydraulic conductivity of

1.2 × 102

m day1

is ultimately deposited on the inflow face, the groundwater discharge per 1000 m width between the two canals in m

3 day

-1 will be _______________

Q.31 The overall heat transfer coefficient based on the outside surface area of a tubular heat exchanger

decreased due to fouling during operation from 1000 W m-2

K-1

to 800 W m2

K1

. The fouling film

coefficient of the heat exchanger in W m2

K1

is _______________

Q.32 A high pressure dairy homogenizer operates under upstream and downstream pressures of 200 and

40 bar respectively homogenizing 30 L of whole milk per hour. Density and specific heat capacity of whole milk are 1030 kg m

–3 and 3.8 kJ kg

–1 K

–1, respectively. Assuming complete energy

conservation, the temperature rise of whole milk in degree Celsius is _______________

Q.33 A fish fillet of 5 mm thickness having 85% moisture (wet basis) is to be frozen using a plate

freezer. The plates are at 35 ºC and the heat transfer coefficient between the fillet and the freezer

plates can be assumed to be 2.0 W m-2

K1

. The initial freezing temperature of fish is 2.5 ºC, latent heat of fusion is 330 kJ kg

–1, density of fish is 1100 kg m

– 3 and thermal conductivity of frozen fish

is 1.5 W m1

K1

. The time required to freeze the fillet from the initial freezing temperature in hour(s) is __________

Q.34 Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If

one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is

(A) 0.07 (B) 0.47 (C) 0.53 (D) 0.75

Q.35 A hemispherical vessel of 300 mm diameter is completely filled with oil and water. If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is

(A) 1.27 (B) 3.73 (C) 7.07 (D) 14.14

Q.36 A tractor mounted off-set type reciprocating mower is driven by the PTO shaft. The maximum

inertia force of 3.2 kN occurs along the pitman at 32o crank angle and 27

o pitman angle with the

horizontal plane. The knives of the cutterbar are riveted to the slider. If each of the allowable tensile

and compressive stresses of the slider material is 50 MPa, the minimum cross-sectional area of the slider in mm

2 is

(A) 29.05 (B) 33.91 (C) 54.27 (D) 57.02



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Q.37 The flywheel of a hand operated chaff cutter with two cutting knives is rotated at 30 rpm and is

connected to a worm gear assembly for driving the feed rollers. The number of teeth of the worm gear is 24 and number of starts (threads) of the worm is 2. If diameter of each of the feed rollers is

15 cm, the chaff length in mm will be

(A) 9.8 (B) 12.8 (C) 19.6 (D) 39.2

Q.38 A piston pump is driven by a 5 m diameter horizontal axis wind turbine for supplying water from a

borehole with a total pump head of 10 m. The mean velocity of air is 18 km h1

and the density of

air is 1.29 kg m3

. The actual power coefficient of the wind turbine is 0.30 and the overall pump

efficiency is 60%. Neglecting the transmission losses, the expected pump discharge in L s1

will be

(A) 2.90 (B) 5.80 (C) 28.50 (D) 32.27

Q.39 A 4-cylinder, 4-stroke compression ignition engine has piston stroke of 10.5 cm and cylinder bore

of 11 cm. At a mean piston speed of 7 m s1

, the developed brake mean effective pressure is

650 kPa. The brake power in kW developed by the engine is

(A) 39.40 (B) 43.24 (C) 86.48 (D) 172.96

Q.40 A centrifugal pump having an overall efficiency of 75% requires 6 kW power at 1450 rpm to deliver water against a suction head of 5 m and a delivery head of 12 m. If the pump runs at 1650

rpm and frictional head losses are negligible, the total head developed by the pump in metres will

be

(A) 22.01 (B) 25.05 (C) 29.35 (D) 31.72

Q.41 A 100 ha watershed received rainfall at a rate of 5 cm h-1

for 2 hours. If the runoff generated by the

storm was at the rate of 1 m3 s1

for 10 hours, the runoff coefficient for the watershed would be

(A) 3.6 × 10-3

(B) 6.0 × 10-2

(C) 0.36 (D) 36

Q.42 A 10 ha field has 1.2 m deep layer of sandy loam soil underlain by sandy soil up to a depth of 5 m.

A pre-irrigation rainfall brings moisture content of the top 0.3 m layer to its field capacity. The

moisture content of rest of the sandy loam layer remains at permanent wilting point. The volumetric moisture content at field capacity and permanent wilting point are 32 and 16%, respectively for the

sandy loam soil. The field is irrigated with a stream size of 240 L s1

for 24 hours. Considering the drainage from the sandy loam soil as deep percolation, application efficiency and deep percolation

ratio in percent respectively are

(A) 56.40 and 43.60 (B) 69.44 and 30.56 (C) 75.18 and 24.82 (D) 92.60 and 7.40

Q.43 A watershed, with an area of 360 km2, has a triangular shaped 4-h unit hydrograph with a base of

50 hours. The peak discharge of direct runoff hydrograph due to 3 cm of rainfall-excess in 4 hours

from the watershed in m3 s1

is

(A) 13.33 (B) 40.00 (C) 120.00 (D) 160.00

Q.44 A rotary dryer is used to dry 1200 kg h–1

of paddy containing 30% moisture (wet basis) to give a

product containing 15% moisture (wet basis). Alternately, a portion of the dry product may be recycled and mixed with the fresh feed such that the mixed feed enters the dryer with moisture

content of 20% (wet basis). The moisture evaporation rate without recycle and the paddy recycle

rate in kg h–1

respectively in the dryer are

(A) 211.76 and 2400 (B) 211.76 and 600

(C) 256.5 and 2400 (D) 256.5 and 600



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Q.45 The work index of a material is 6.25. If 80% of the feed and 80% of the product pass through IS

Sieve No. 340 (3.25 mm opening) and IS Sieve No. 40 (0.42 mm opening), respectively, the power consumed in kW to crush 5000 kg h

–1 of sorghum is

(A) 9.77 (B) 20.49 (C) 26.29 (D) 32.29

Q.46 In a screen separator, the mass flow rates of feed, overflow and underflow are 150, 140 and 10 kg h

–1, respectively. Mass fraction of material in the feed and overflow are 0.9 and 0.96,

respectively. The effectiveness of separation in percentage is

(A) 32 (B) 42 (C) 52 (D) 62

Q.47 A milk fat globule of 2 µm diameter is rising in whole milk of density 1030 kg m–3 and coefficient

of viscosity 103

Poise. If the fat density is 950 kg m–3

, the time needed to rise 10 mm for this fat globule in min is

(A) 0.57 (B) 34.57 (C) 35.57 (D) 95.57

Common Data Questions

Common Data for Questions 48 and 49:

A 9 × 20 cm fluted roller type seed drill is operated at a forward speed of 3 km h1

in a field of size 120 m × 90 m. The effective ground wheel diameter of the seed drill is 0.5 m and the ratio of ground wheel

rpm to the fluted roller rpm is 2. For one complete rotation of each fluted roller, 6.8 g seed is transferred from the seed box to the seed tube. The average time taken for each turn while operating length-wise is 50 s

and the total time wasted in refilling the seed box for sowing the entire field is 40 min.

Q.48 The seed rate in kg ha-1

will be

(A) 108.32 (B) 122.55 (C) 136.99 (D) 240.71

Q.49 The actual field capacity of the machine in ha h

-1 is

(A) 0.30 (B) 0.32 (C) 0.36 (D) 0.40


Specific heat capacity of dry air and water vapour are 1.005 and 1.88 kJ kg

–1 K

–1, respectively. In an

energy conserving system, 1 kg s–1

air at 30 oC with constant absolute humidity of 0.02 kg water (kg dry

air)-1

is heated up to 65 ºC. Water at the wet bulb temperature of air is then sprayed into the air so that the

final temperature of the air-water vapour mixture is 40 ºC. Latent heat of vapourization of water at 70 oC

and 40 oC are 2334 and 2407 kJ kg

–1, respectively.

Q.50 The thermal energy supplied per second during heating in kW is

(A) 18.2 (B) 36.5 (C) 101.0 (D) 166.8

Q.51 The absolute humidity of the exhaust air from the spray chamber in kg water (kg dry air)-1

is

(A) 0.027 (B) 0.029 (C) 0.031 (D) 0.033



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Linked Answer Questions

Statement for Linked Answer Questions 52 and 53:

A two-wheel drive tractor weighing 21 kN has a wheel base of 2.1 m. The CG of the tractor is 0.7 m ahead of rear axle centre. The tractor is pulling a single-axle trailer with gross trailer weight of 50 kN on a leveled

concrete road while maintaining the line of pull parallel to the ground surface. The tractor hitch point is

42 cm behind the rear axle centre and 52.5 cm above the ground surface. During operation, 20% of the

gross trailer weight is transferred to the tractor hitch point. If the coefficient of rolling resistance for each of the tractor and trailer wheels is taken as 0.04, and their ground reactions are assumed to pass through their

respective wheel centres,

Q.52 the dynamic ground reaction against the tractor rear wheels in kN is

(A) 14.0 (B) 24.0 (C) 24.5 (D) 26.4

Q.53 the gross traction ratio developed by the tractor is

(A) 0.061 (B) 0.082 (C) 0.108 (D) 0.123


In an experimental setup, the discharge through a triangular notch is 0.0074 m3 s1

at an operating head of

0.1 m. The coefficient of discharge for the notch is 0.7. If the required discharge is 0.1 m3 s1

,

Q.54 the corresponding head in m is

(A) 0.00015 (B) 0.035 (C) 0.283 (D) 67.13

Q.55 the corresponding width of water surface in m is

(A) 0.80 (B) 0.099 (C) 0.00043 (D) 0.00086



Q.56 If 3 ≤ ≤ 5 and 8 ≤ ≤ 11 then which of the following options is TRUE?

(A) ≤ ≤

(B) ≤ ≤

(C) ≤ ≤

(D) ≤ ≤



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Q.57 The Headmaster ___________ to speak to you.

Which of the following options is incorrect to complete the above sentence?

(A) is wanting

(B) wants

(C) want

(D) was wanting

Q.58 Mahatama Gandhi was known for his humility as

(A) he played an important role in humiliating exit of British from India.

(B) he worked for humanitarian causes.

(C) he displayed modesty in his interactions.

(D) he was a fine human being.

Q.59 All engineering students should learn mechanics, mathematics and how to do computation.

I II III IV

Which of the above underlined parts of the sentence is not appropriate?

(A) I (B) II (C) III (D) IV

Q.60 Select the pair that best expresses a relationship similar to that expressed in the pair:

water: pipe::

(A) cart: road (B) electricity: wire

(C) sea: beach (D) music: instrument


Q.61 Velocity of an object fired directly in upward direction is given by = 80 − 32 , where (time)

is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?

(A) (1, 3/2) (B) (1/2, 1)

(C) (1/2, 3/2) (D) (1, 3)

Q.62 In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents

respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a

randomly drawn autocomponent from the combined lot is found defective, what is the probability

that it was manufactured by M2?

(A) 0.35 (B) 0.45 (C) 0.5 (D) 0.4



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Q.63 Following table gives data on tourists from different countries visiting India in the year 2011.

Country Number of

Tourists

USA 2000

England 3500

Germany 1200

Italy 1100

Japan 2400

Australia 2300

France 1000

Which two countries contributed to the one third of the total number of tourists who visited India in

2011?

(A) USA and Japan

(B) USA and Australia

(C) England and France

(D) Japan and Australia

Q.64 If |−2 + 9| = 3 then the possible value of |− | − would be:

(A) 30 (B) -30 (C) -42 (D) 42

Q.65 All professors are researchers

Some scientists are professors

Which of the given conclusions is logically valid and is inferred from the above arguments:

(A) All scientists are researchers

(B) All professors are scientists

(C) Some researchers are scientists

(D) No conclusion follows




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GATE 2013 - Answer KeysAgricultural Engineering – AG

Q. No Key/Range Q. No Key/Range Q. No Key/Range

1 B 23 D 45 A

2 A 24 C 46 D

3 B 25 C 47 D

4 D 26 0.08 to 0.09 48 A

5 C 27 14.4 to 14.6 49 B

6 D 28 47.4 to 47.5 50 B

7 C 29 1100000 51 C

8 D 30 690 to 695 52 D

9 D 31 4000 53 C

10 C 32 4 to 4.2 54 C

11 B 33 3.25 to 3.35 55 A

12 A 34 B 56 B

13 C 35 B 57 C

14 B 36 D 58 C

15 A 37 C 59 D

16 A 38 A 60 B

17 B 39 B 61 C

18 D 40 A 62 C

19 B 41 C 63 C

20 C 42 B 64 B

21 A 43 C 65 C

22 B 44 A


____________________________________________________________

Duration: Three Hours Maximum Marks: 100

Read the following instructions carefully.

1. The computer allotted to you at the examination center runs a specialized software that permits only

one answer to be selected for multiple choice questions using a mouse. Your answers shall be updated

and saved on a server periodically and at the end of the examination.

2. To login, enter your Registration Number and password provided in the envelope. Go through the

symbols used in the test and understand the meaning before you start the examination. You can view

all questions by clicking on the View All Questions button in the screen after the start of the

examination.

3. To answer a question, select the question using the selection panel on the screen and choose the

correct answer by clicking on the radio button next to the answer. To change the answer, just click on

another option. If you wish to leave a previously answered question unanswered, click on the button

next to the selected option.

4. The examination will automatically stop at the end of 3 hours.

5. There are a total of 65 questions carrying 100 marks. Except questions Q.26 – Q.30, all the other

questions are of multiple choice type with only one correct answer. Questions Q.26 - Q.30 require a

numerical answer, and a number should be entered using the virtual keyboard on the monitor.

6. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks

questions include two pairs of common data questions and two pairs of linked answer questions. The

answer to the second question of the linked answer questions depends on the answer to the first

question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then

the answer to the second question in the pair will not be evaluated.

7. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.

Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.

8. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.

There is no negative marking for questions of numerical answer type, i.e., for Q.26 – Q.30. For all 1

mark questions, mark will be deducted for each wrong answer. For all 2 marks questions, mark

will be deducted for each wrong answer. However, in the case of the linked answer question pair,

there will be negative marks only for wrong answer to the first question and no negative marks for

wrong answer to the second question.

9. Calculator is allowed. Charts, graph sheets or tables are NOT allowed in the examination hall. Do the

rough work in the Scribble Pad provided.

10. You must sign this sheet and leave it with the invigilators at the end of the examination.

________________________________________________________________________________________

DECLARATION: I hereby declare that I have read and followed all the instructions given in this sheet.

Registration Number AG

Name

Signature

Verified that the above entries are correct. Invigilator’s signature:

GATE 2012 Solved PaperAG : AGRICULTURAL ENGINEERING


The matrix is

0 2 3

2 0 4

3 4 0

−⎡ ⎤⎢ ⎥−⎢ ⎥⎢ ⎥−⎣ ⎦

Q.1

(A) diagonal (B) symmetric (C) skew symmetric (D) triangular

The line can be expressed in polar coordinates ( ,1y x= − )r θ as Q.2

(A) cosr θ= (B) sinr θ=

(C) (cos sin ) 1r θ θ+ = (D) (cos sin ) 1r θ θ− =

The type of pump used in forced water cooling system of a tractor engine is Q.3

(A) piston (B) centrifugal (C) gear (D) vane

Which one of the following statements is NOT appropriate regarding cone index

(A) It reflects strength of soil

(B) It is a composite parameter

(C) It is dimensionless

Q.4

(D) It is measured at a constant penetration rate of 30 mm/s

The draft and total power requirement of a rotary cultivator operating in concurrent mode as

compared to a spring tyne cultivator of equal cutting width under the same operating conditions,

respectively are

(A) higher and higher (B) lower and lower

Q.5

(C) lower and higher (D) higher and lower

The soil erodibility factor needs to be determined for use in the universal soil loss equation. The

length, in m and slope, in % of the experimental plot to be used for this purpose, respectively are

Q.6

(A) 19, 12 (B) 21, 11 (C) 22, 9 (D) 23, 8

The difference between Fore Bearing and Back Bearing of a traverse line is Q.7

(A) exactly 90o

(B) less than 180o

(C) exactly 180o

(D) greater than 180o

A pumping device that combines the advantages of both centrifugal and reciprocating pumps is

known as

(A) air lift pump (B) hydraulic ram

Q.8

(C) jet pump (D) rotary pump

If ν is the kinematic viscosity of air – water vapour mixture and is the mass diffusivity of

water vapour in air then the ratio

ABD

/AB

Dν is known as

(A) Stanton number (B) Prandtl number

Q.9

(C) Schmidt number (D) Sherwood number

Work index in size reduction can be obtained by multiplying Bond’s energy constant with Q.10

(A) 10 (B) 10 (C) 3 10 (D) 4 10


Agricultural - AGGATE 2012

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The tangent line to at the point ( )y f x=0 0( , )x y , assuming ( ) 0f x′ ≠ , intersects the x axis at Q.11

(A) [ ]( )0 0 0( ) ,0x y f x′− (B) [ ]( )0 0 0( ) ,0x y f x′+

(C) [ ]( )0 0 0( ) ,0x f x y′− (D) [ ]( )0 0 0( ) ,0x f x y′+

Approximate percentage of scores that fall within σ± (standard deviation) of the mean in a normal

distribution is

Q.12

(A) 34 (B) 68 (C) 95 (D) 99

The integrating factor of the differential equation ( 1) sindy

x y xdx

+ − = is Q.13

(A) x (B) ( 1x + ) (C) 1/ x (D) 1/ ( 1)x +

The constituent of producer gas which occupies the highest percentage by volume and helps in

increasing its overall calorific value is

Q.14

(A) CO (B) CO2 (C) H2 (D) CH4

During field operation, the shank of a tractor drawn rigid tyne sweep type cultivator is mainly

subjected to

Q.15

(A) bending (B) shear (C) torsion (D) bending and torsion

A slider is moving on a straight link at a sliding velocity of 0.5 m s−1

. The straight link is pivoted at

one end and makes angular movement at a rate of 1.0 rad s−1

. Coriolis acceleration of the slider in

m s−2

is

Q.16

(A) 0.25 (B) 0.50 (C) 1.00 (D) 4.00

The power developed and the exhaust gas temperature of a diesel engine compared to a spark

ignition engine of the same size and running at the same speed respectively, are

(A) higher and lower (B) higher and higher

Q.17

(C) lower and higher (D) lower and lower

In a semi-modular outlet, the discharge

(A) is independent of water levels in the distributary and the water course

(B) depends upon the water levels of both distributary and water course

(C) depends upon the water level in the distributary

Q.18

(D) depends upon the water level in the water course

The relationship between outflow Q in m3

s−1

and storage S in m3 for an emergency spillway in a

reservoir is Q = S/4000. Inflow, outflow and storage are assumed to be zero at time t = 0. If the

inflow rate is 300 m3 s

−1 at the end of t = 3 hours, the outflow rate in m

3 s

−1 is

Q.19

(A) 152.84 (B) 164.84 (C) 172.34 (D) 184.84

A trapezoidal grassed waterway is constructed along a longitudinal gradient of 4%. If the cross-

sectional area of flow is 1.52 m2, wetted perimeter is 12.5 m and Manning’s n for the waterway is

0.04 m−1/3

s, the flow through the waterway in m3 s

−1 is

Q.20

(A) 1.9 (B) 2.1 (C) 2.3 (D) 2.5



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A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump

has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip is

Q.21

(A) 0.85 (B) 1.97 (C) 3.53 (D) 6.05

A pair of parallel glass panes, each of 3 mm thickness traps 2 mm layer of stagnant air. Thermal

conductivities of glass and air are 0.5 and 0.02 W m−1

K −1

, respectively. If the film heat transfer

coefficient of air is 10 W m−2

K−1

, then Biot Number is

Q.22

(A) 1.50 (B) 1.00 (C) 0.06 (D) 0.04

Two small parallel plane square surfaces, each measuring 4 mm × 4 mm are placed 0.5 m apart

(centre to centre) with 30° angle between the radial distance and both the surface normals. The

view factor between the two surfaces is

Q.23

(A) 1.53 × 10−5

(B) 1.76 × 10−5

(C) 3.82 × 10−3

(D) 4.41 × 10 −3

Tomato catsup with 10 Pa consistency coefficient and 0.8 flow behaviour index is flowing in a

pipe. Generalized coefficient of viscosity of catsup, in Pa is

nsns

Q.24

(A) 2.66 (B) 6.93 (C) 15.91 (D) 23.87

A packed bed of 480 kg solid particles having particle size of 0.15 mm and density of 800 kg m−3

is

fluidized using air at 25 °C and 1 atmospheric pressure. If the cross section of the empty bed is

0.45 m² and voidage at minimum fluidizing condition is 0.5, then the minimum height of the

fluidized bed, in m is

Q.25

(A) 7.4 (B) 5.4 (C) 2.7 (D) 1.0


The value of

/ 2

0

cos x dx

π

∫ using trapezoidal rule with two equal intervals is Q.26

(A) 0.95 (B) 1.00 (C) 1.22 (D) 1.29

A tractor power take-off (PTO) driven stationary peg tooth type wheat thresher operating at a

cylinder speed of 540 rpm requires a torque of 250 Nm at PTO. The minimum net engine power

required, in kW is

Q.27

(A) 13 (B) 16 (C) 18 (D) 21

A border strip of 8 × 250 m is being irrigated by a border stream of 50 lps. The infiltration capacity

of the soil is 25 mm h−1

(assumed to be constant throughout the period of irrigation). The average

depth of the advancing sheet of water over the land is 70 mm. The time required to irrigate the

border strip, in minutes, will be

Q.28

(A) 16.7 (B) 25.7 (C) 54.7 (D) 67.7

Decimal reduction times for Bacillus subtilis are 37 s and 12 s at temperatures of 120 °C and

125 °C, respectively. The temperature rise, in °C, necessary to reduce the first value of decimal

reduction time at 120 °C by a factor of 10 is

Q.29

(A) 7.18 (B) 10.36 (C) 13.06 (D) 16.07



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A tall silo having height to diameter ratio of 2 is holding 480 tons wheat of bulk density

960 kg m−3

. The angle of internal friction for wheat is 25° and for wheat and wall surface is 24°.

Applying Airy formula, the maximum lateral pressure in kPa at the bottom of the bin section is

Q.30

(A) 40.24 (B) 41.79 (C) 42.83 (D) 42.92

The eigenvalues of the matrix are 6 1

2 3

⎡ ⎤⎢ ⎥−⎣ ⎦

Q.31

(A) (3, 6) (B) (1, −2) (C) (5, 4) (D) (1, 6)

If '( ) xf x e= and , then from Mean Value Theorem, the value of (0) 5f = (1)f lies between Q.32

(A) 2 and (2 + e) (B) 3 and (2 + e) (C) 3 and (3 + e) (D) 6 and (5 + e)

The inverse Laplace Transform of

2

3( 3)

s

s − can be written as

32[

2

te

At Bt C]+ + . The values of A,

B and C, respectively are

Q.33

(A) 3, 5 and 7 (B) 2, 10 and 12 (C) 10, 12 and 4 (D) 9, 12 and 2

A two wheel drive tractor, weighing 15.84 kN with a wheel base of 2160 mm, has the static weight

divided between the front and rear axles in the ratio of 30 : 70 on a horizontal level surface. The

hitch point is at a height of 700 mm from the ground and at a horizontal distance of 120 mm to the

rear side from the center of the rear axle. Pull acts at an angle of 12° downwards from the

horizontal. The maximum pull in kN, when the front wheels would just start rising from the ground

is

Q.34

(A) 1.48 (B) 14.46 (C) 39.04 (D) 85.54

A horizontal axis drag type wind mill with square blades and a horizontal axis lift type wind mill

with airfoil section blades having same rotor size are installed at a height of 10 m above the ground.

The average wind speed is 25 km h−1

. The maximum power coefficient for drag type and lift type

wind mills is 0.148 and 0.593, respectively. If the maximum power extracted by drag type wind

mill is 5 kW, the corresponding power extracted by lift type wind mill, in kW is

Q.35

(A) 8.43 (B) 12.63 (C) 18.03 (D) 20.03

The thresher of a wheat combine harvester has an optimal throughput capacity of 2400 kg (crop)

per hour. The harvester has a forward velocity of 4.5 km h−1

. Sample tests have revealed that the

yield of crop in the field is 3000 kg (grain) per ha. Grain to straw ratio is 60 : 40. If the above

throughput is to be maintained, the width of cut of the harvester in m, neglecting turning losses, is

Q.36

(A) 0.71 (B) 1.07 (C) 1.78 (D) 2.96

In a disc clutch, the inside and outside radii of the clutch plate are 50 and 100 mm, respectively. If

the axial force exerted on the disc is 4 kN, the maximum pressure experienced by the clutch plate in

N mm-2

under uniform wear conditions is

Q.37

(A) 0.13 (B) 0.17 (C) 0.25 (D) 0.51

A regime channel carrying a discharge of 25 m3 s

−1 is designed using Lacey’s regime theory. The

side slope of the channel is ½ H : 1 V, and Lacey’s silt factor is unity. The bottom width and depth

of flow in the channel, in m, respectively are

Q.38

(A) 20.26, 1.38 (B) 20.26, 1.56 (C) 23.75, 1.56 (D) 32.78, 1.56



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Flow is taking place through a layered soil system, having two homogeneous soils M and N, as

shown in the figure. The head lost in soil N is 20 times the head lost in soil M.

Q.39

Soil M

Soil N

Area 1000 mm2

0

250

400

600

800

Elevation in mm

If the permeability of soil M is 3 × 10 −4

mm s−1 −1

, the permeability of soil N, in mm s , will be

(A) 4 × 10−4

(B) 3 × 10−4

(C) 2.5 × 10−5

(D) 1.5 × 10−5

A trapezoidal canal, having a bottom width of 5.0 m and a side slope of 1 H : 1 V, is carrying a

discharge of 20 m

Q.40 3 s

−1. The critical depth, in m, is

(A) 1.09 (B) 1.18 (C) 2.12 (D) 2.62

A 200 mm well fully penetrates a confined aquifer. After a long period of pumping at a rate of 1400

litres per minute, the drawdowns in the observation wells located at 25 m and 40 m from the

pumping well are found to be 2.6 m and 1.9 m, respectively. The transmissivity of the aquifer in

m

Q.41

2 −1 day is

(A) 190 (B) 198 (C) 206 (D) 215

Q.42 Tile drains have to be installed in an agricultural land having soil permeability of

2.3 × 10−3 −1

mm s . An impermeable stratum exists at 3.2 m below the land surface, and it is desired

to keep the water level at least 1.0 m below the land surface. The average discharge of the drainage

system is 2.0 mm day−1

. If the tile drains are planned to be placed at 1.5 m below the land surface,

the drain spacing in m, assuming the equivalent depth to be the same as the tile depth, is

(A) 10.6 (B) 12.4 (C) 13.9 (D) 19.7

Q.43 It is proposed to construct bench terraces on a 10% hill slope. If the batter slope is ½ H : 1 V, the

percentage area that will be lost for cultivation due to bench terracing is

(A) 4.68 (B) 5.47 (C) 6.25 (D) 6.78

Air at 70 °C and 0.015 humidity ratio is cooled adiabatically by spraying water. The final

temperature of the air is 55 °C. Specific heat capacities of dry air and water vapour are 1.005 and

1.88 kJ kg

Q.44

−1 K

−1, respectively and latent heat of vapourization of water at 0 °C is

2501.7 kJ kg−1

. The absolute humidity of the outlet air, in kg water vapour per kg dry air is

(A) 0.017 (B) 0.019 (C) 0.021 (D) 0.023



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Q.45 Final mass flow rate of osmotically dehydrated cherries after finish drying from 18% dry basis

moisture content to 11.5% wet basis moisture content is 5000 kg per hour. The dryer efficiency is

70%, latent heat of vapourization is 2345 kJ kg–1

, specific heat of air is 1.005 kJ kg−1

K–1

, drying

temperature is 50 °C and the specific volume of ambient air at 25 °C is 0.866 m3 −1 kg . The

necessary air flow requirement for the drying system in m3 −1 min is

(A) 477 (B) 587 (C) 625 (D) 702

A single effect vacuum evaporator has 100 tubes of 25 mm diameter. One thousand kg feed of

milk per hour with 15% TS is concentrated to 20% TS in the evaporator. Film heat transfer

coefficients on either sides of the tube are 5000 and 800 W m

Q.46

−2 K

−1. Thermal conductivity of 1.5

mm thick SS tubes is 15 W m−1

K−1

. Latent heat of vapourization under vacuum is

2309 kJ kg −1

. For 10 °C temperature difference across the tube wall, the height of each tube, in m

is

(A) 1.36 (B) 2.13 (C) 2.56 (D) 3.17

One thousand units of mixed fruit bar, each weighing 100 g with a surface area of 0.01 m², are

frozen from 70 °C molten mass condition to −20 °C frozen storage condition within 3 hours. The

specific heat capacity values of the bar are 3.6 kJ kg

Q.47

−1 −1 K and 1.97 kJ kg

−1 −1 K before and after

freezing point (0 °C) respectively. If the latent heat of crystallization is 250 kJ kg −1

, the cooling

capacity of the refrigeration unit required in tons of refrigeration is

(A) 0.77 (B) 1.43 (C) 1.66 (D) 4.32

Common Data Questions


A diesel engine running in dual fuel mode with diesel as pilot fuel and producer gas as primary fuel

produces 3.5 kW at rated engine speed and is coupled directly to a generator for producing electricity. The

amount of diesel and producer gas consumed per hour is 460 ml and 12.5 m3, respectively.

Assuming calorific value of diesel and producer gas as 35280 and 3.97 MJ m−3Q.48 , respectively, the

brake thermal efficiency of the engine in percentage is

(A) 17.19 (B) 19.13 (C) 22.79 (D) 25.32

Q.49 If generator efficiency is 90%, the maximum electricity produced, in kW is

(A) 2.85 (B) 3.00 (C) 3.15 (D) 3.50


The hourly discharge observations at the mouth of a watershed due to 2 cm excess rainfall during 0 to 1 h

and 3 cm excess rainfall during 1 to 2 h are given in the table below. Assume a constant base flow of

1 m3 s

−1.

Time (h) 0 1 2 3 4 5 6

3

Discharge (m s

−1 1 7 26 37 27 13 1 )

The area of the watershed, in km2

Q.50 is

(A) 7.56 (B) 8.24 (C) 8.35 (D) 8.86

The peak of 1 h unit hydrograph in m3s

−1Q.51 for the watershed and its time of occurrence in h,

respectively are

(A) 6, 1 (B) 7, 2 (C) 8, 2 (D) 9, 1



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Linked Answer Questions


Soybean is to be planted with a precision planter that meters 54 seeds per revolution of the metering disc

powered from a ground wheel of diameter 490 mm. The desired plant population is 44800 per ha with a

row to row spacing of 0.75 m. The germination percentage is 84. The planter is to be operated at

2.5 km h−1

with a 10% skid of ground wheel.

The angular speed of ground wheel in rpm is Q.52

(A) 20.3 (B) 24.6 (C) 28.3 (D) 32.6

Q.53 The angular speed ratio of metering disc to ground wheel for obtaining the desired plant population

is

(A) 0.125:1 (B) 0.150:1 (C) 0.225:1 (D) 0.250:1


A 1 hp motor is used for running a dual cylinder reciprocating compressor of a refrigeration system based

on R-134a refrigerant having 185 kJ kg−1

cooling capacity. COP of the system is 4.2 and overall efficiency

of the compressor is 80%. Specific volume of the refrigerant vapour at suction temperature is 0.15 m3 −1 kg .

The compressor with bore diameters of 40 mm each runs at 1440 rpm.

The mass flow rate of the refrigerant in kg min−1Q.54 is

(A) 1.634 (B) 1.090 (C) 0.813 (D) 0.240

Q.55 The compressor stroke length in mm is

(A) 16.8 (B) 33.7 (C) 50.5 (D) 67.4




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Choose the most appropriate alternative from the options given below to complete the following

sentence:

I ___ to have bought a diamond ring.

(A) have a liking (B) should have liked

Q.56

(C) would like (D) may like


sentence:

Food prices ___ again this month.

(A) have raised (B) have been raising

Q.57

(C) have been rising (D) have arose


sentence:

The administrators went on to implement yet another unreasonable measure, arguing that

the measures were already ___ and one more would hardly make a difference.

Q.58

(A) reflective (B) utopian (C) luxuriant (D) unpopular


sentence:

To those of us who had always thought him timid, his ___ came as a surprise.

Q.59

(A) intrepidity (B) inevitability (C) inability (D) inertness

The arithmetic mean of five different natural numbers is 12. The largest possible value among the

numbers is

Q.60

(A) 12 (B) 40 (C) 50 (D) 60

Q. 61 - Q. 65 carry two marks each.

Two policemen, A and B, fire once each at the same time at an escaping convict. The probability

that A hits the convict is three times the probability that B hits the convict. If the probability of the

convict not getting injured is 0.5, the probability that B hits the convict is

Q.61

(A) 0.14 (B) 0.22 (C) 0.33 (D) 0.40



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The total runs scored by four cricketers P, Q, R, and S in years 2009 and 2010 are given in the

following table:

Player 2009 2010

P 802 1008

Q 765 912

R 429 619

S 501 701

The player with the lowest percentage increase in total runs is

Q.62

(A) P (B) Q (C) R (D) S

If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as

(A) sum of squares of two natural numbers

(B) sum of cubes of two natural numbers

(C) sum of square roots of two natural numbers

Q.63

(D) sum of cube roots of two natural numbers

Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p – q) is Q.64

(A) -3 (B) 0 (C) 3 (D) 4

In the early nineteenth century, theories of social evolution were inspired less by Biology than

by the conviction of social scientists that there was a growing improvement in social

institutions. Progress was taken for granted and social scientists attempted to discover its

laws and phases.

Which one of the following inferences may be drawn with the greatest accuracy from the above

passage?

Social scientists

(A) did not question that progress was a fact.

(B) did not approve of Biology.

(C) framed the laws of progress.

Q.65

(D) emphasized Biology over Social Sciences.




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GATE 2012 - Answer Keys



1 C 23 A 45 Marks to All

2 D 24 13 46 D

3 B 25 C 47 B

4 C 26 0.94 to 0.96 48 B

5 C 27 15 to 17 49 C

6 C 28 52 to 57 50 A

7 C 29 10 to 11 51 C

8 D 30 41 to 42 52 B

9 C 31 C 53 A

10 B 32 D 54 C

11 A 33 D 55 B

12 B 34 B 56 C

13 D 35 D 57 C

14 A 36 B 58 D

15 A 37 C 59 A

16 C 38 B 60 C

17 D 39 C 61 A

18 C 40 A 62 B

19 C 41 D 63 A

20 A 42 Marks to All 64 C

21 A 43 B 65 A

22 C 44 C


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