Agricultural Engineering (AG) 2012 GATE Paper without solution (unsolved) GATE Notes | EduRev

GATE : Agricultural Engineering (AG) 2012 GATE Paper without solution (unsolved) GATE Notes | EduRev

 Page 1


 
GATE 2012 Online Examination 
AG : AGRICULTURAL ENGINEERING 
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: 
 
Page 2


 
GATE 2012 Online Examination 
AG : AGRICULTURAL ENGINEERING 
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: 
 
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
Q. 1 – Q. 25 carry one mark each. 
The matrix  is 
02 3
20 4
34 0
- ??
??
-
??
?? -
??
Q.1 
(A) diagonal (B) symmetric (C)  skew symmetric (D)  triangular 
 
The line  can be expressed in polar coordinates (, 1 yx =- ) r ? as  
Q.2 
(A) cos r ? = (B) sin r ? = 
 
(C) (cos sin ) 1 r ? ? += (D) (cos sin ) 1 r ? ? - = 
 
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 90
o
(B) less than 180
o
(C) exactly 180
o
(D) greater than 180
o
 
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 ? is the kinematic viscosity of air – water vapour mixture and  is the mass diffusivity of 
water vapour in air then the ratio 
AB
D
/
AB
D ? 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  
 
 
 
AG 2/12
Page 3


 
GATE 2012 Online Examination 
AG : AGRICULTURAL ENGINEERING 
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: 
 
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
Q. 1 – Q. 25 carry one mark each. 
The matrix  is 
02 3
20 4
34 0
- ??
??
-
??
?? -
??
Q.1 
(A) diagonal (B) symmetric (C)  skew symmetric (D)  triangular 
 
The line  can be expressed in polar coordinates (, 1 yx =- ) r ? as  
Q.2 
(A) cos r ? = (B) sin r ? = 
 
(C) (cos sin ) 1 r ? ? += (D) (cos sin ) 1 r ? ? - = 
 
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 90
o
(B) less than 180
o
(C) exactly 180
o
(D) greater than 180
o
 
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 ? is the kinematic viscosity of air – water vapour mixture and  is the mass diffusivity of 
water vapour in air then the ratio 
AB
D
/
AB
D ? 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  
 
 
 
AG 2/12
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
The tangent line to  at the point () yfx =
00
(, ) x y , assuming () 0 fx ' ? , intersects the x axis at  
Q.11 
(A) [ ] ()
00 0
(),0 xy fx ' - 
(B) 
[ ] ( )
00 0
(),0 xy fx ' + 
 
(C) 
[] ()
000
() ,0 xfx y ' - (D) 
[ ] ( )
000
() ,0 xfx y ' + 
 
Approximate percentage of scores that fall within s ± (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) sin
dy
x yx
dx
+-= is 
Q.13 
(A) x
 
(B) ( 1 x +) (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) CO
2
(C) H
2
  (D) CH
4
  
 
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 m
3 
s
-1
 and storage S in m
3
 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 m
3 
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 m
2
, 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 m
3 
s
-1
 is 
Q.20 
(A) 1.9 (B) 2.1 (C) 2.3  (D) 2.5 
 
 
AG 3/12
Page 4


 
GATE 2012 Online Examination 
AG : AGRICULTURAL ENGINEERING 
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: 
 
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
Q. 1 – Q. 25 carry one mark each. 
The matrix  is 
02 3
20 4
34 0
- ??
??
-
??
?? -
??
Q.1 
(A) diagonal (B) symmetric (C)  skew symmetric (D)  triangular 
 
The line  can be expressed in polar coordinates (, 1 yx =- ) r ? as  
Q.2 
(A) cos r ? = (B) sin r ? = 
 
(C) (cos sin ) 1 r ? ? += (D) (cos sin ) 1 r ? ? - = 
 
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 90
o
(B) less than 180
o
(C) exactly 180
o
(D) greater than 180
o
 
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 ? is the kinematic viscosity of air – water vapour mixture and  is the mass diffusivity of 
water vapour in air then the ratio 
AB
D
/
AB
D ? 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  
 
 
 
AG 2/12
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
The tangent line to  at the point () yfx =
00
(, ) x y , assuming () 0 fx ' ? , intersects the x axis at  
Q.11 
(A) [ ] ()
00 0
(),0 xy fx ' - 
(B) 
[ ] ( )
00 0
(),0 xy fx ' + 
 
(C) 
[] ()
000
() ,0 xfx y ' - (D) 
[ ] ( )
000
() ,0 xfx y ' + 
 
Approximate percentage of scores that fall within s ± (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) sin
dy
x yx
dx
+-= is 
Q.13 
(A) x
 
(B) ( 1 x +) (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) CO
2
(C) H
2
  (D) CH
4
  
 
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 m
3 
s
-1
 and storage S in m
3
 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 m
3 
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 m
2
, 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 m
3 
s
-1
 is 
Q.20 
(A) 1.9 (B) 2.1 (C) 2.3  (D) 2.5 
 
 
AG 3/12
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
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 
n
s
n
s
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 
 
Q. 26 to Q. 55 carry two marks each. 
The value of 
/2
0
cos x dx
p
?
 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 
 
 
AG 4/12
Page 5


 
GATE 2012 Online Examination 
AG : AGRICULTURAL ENGINEERING 
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: 
 
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
Q. 1 – Q. 25 carry one mark each. 
The matrix  is 
02 3
20 4
34 0
- ??
??
-
??
?? -
??
Q.1 
(A) diagonal (B) symmetric (C)  skew symmetric (D)  triangular 
 
The line  can be expressed in polar coordinates (, 1 yx =- ) r ? as  
Q.2 
(A) cos r ? = (B) sin r ? = 
 
(C) (cos sin ) 1 r ? ? += (D) (cos sin ) 1 r ? ? - = 
 
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 90
o
(B) less than 180
o
(C) exactly 180
o
(D) greater than 180
o
 
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 ? is the kinematic viscosity of air – water vapour mixture and  is the mass diffusivity of 
water vapour in air then the ratio 
AB
D
/
AB
D ? 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  
 
 
 
AG 2/12
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
The tangent line to  at the point () yfx =
00
(, ) x y , assuming () 0 fx ' ? , intersects the x axis at  
Q.11 
(A) [ ] ()
00 0
(),0 xy fx ' - 
(B) 
[ ] ( )
00 0
(),0 xy fx ' + 
 
(C) 
[] ()
000
() ,0 xfx y ' - (D) 
[ ] ( )
000
() ,0 xfx y ' + 
 
Approximate percentage of scores that fall within s ± (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) sin
dy
x yx
dx
+-= is 
Q.13 
(A) x
 
(B) ( 1 x +) (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) CO
2
(C) H
2
  (D) CH
4
  
 
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 m
3 
s
-1
 and storage S in m
3
 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 m
3 
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 m
2
, 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 m
3 
s
-1
 is 
Q.20 
(A) 1.9 (B) 2.1 (C) 2.3  (D) 2.5 
 
 
AG 3/12
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
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 
n
s
n
s
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 
 
Q. 26 to Q. 55 carry two marks each. 
The value of 
/2
0
cos x dx
p
?
 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 
 
 
AG 4/12
2012                                                                                                                                                                                   AGRICULTURAL ENGG.  –  AG 
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 
61
23
??
??
-
??
Q.31 
(A) (3, 6) (B) (1, -2) (C)  (5, 4) (D)  (1, 6) 
 
If '( )
x
f xe = and , then from Mean Value Theorem, the value of (0) 5 f = (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 
3
2
[
2
t
e
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 m
3
 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 
 
AG 5/12
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