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 5/12Read More

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