Agricultural Engineering - AG 2018 GATE Paper with solution GATE Notes | EduRev

GATE Past Year Papers for Practice (All Branches)

GATE : Agricultural Engineering - AG 2018 GATE Paper with solution GATE Notes | EduRev

 Page 1


GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 1/2 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “When she fell down the _______, she received many _______ but little help. ” 
 
The words that best fill the blanks in the above sentence are  
 
(A) stairs, stares (B) stairs, stairs 
(C) stares, stairs (D) stares, stares 
 
 
Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” 
 
The word that best fills the blank in the above sentence is  
 
(A) rational (B) reasonable (C) errant (D) good 
 
 
Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. 
 
(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? ) 
 
 
Q.4  
The area of an equilateral triangle is v 3. What is the perimeter of the triangle? 
 
(A) 2 (B) 4 (C) 6 (D) 8 
 
 
Q.5  Arrange the following three-dimensional objects in the descending order of their volumes: 
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm
 
 
(ii)  A cube of side 8 cm 
(iii)  A cylinder with base radius 7 cm and height 7 cm 
(iv)  A sphere of radius 7 cm 
 
(A) (i), (ii), (iii), (iv) 
(B) (ii), (i), (iv), (iii) 
(C) (iii), (ii), (i), (iv) 
(D) (iv), (iii), (ii), (i) 
 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  An automobile travels from city A to city B and returns to city A by the same route. The 
speed of the vehicle during the onward and return journeys were constant at 60 km/h and 
90 km/h, respectively. What is the average speed in km/h for the entire journey? 
 
(A) 72 (B) 73 (C) 74 (D) 75 
 
Page 2


GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 1/2 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “When she fell down the _______, she received many _______ but little help. ” 
 
The words that best fill the blanks in the above sentence are  
 
(A) stairs, stares (B) stairs, stairs 
(C) stares, stairs (D) stares, stares 
 
 
Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” 
 
The word that best fills the blank in the above sentence is  
 
(A) rational (B) reasonable (C) errant (D) good 
 
 
Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. 
 
(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? ) 
 
 
Q.4  
The area of an equilateral triangle is v 3. What is the perimeter of the triangle? 
 
(A) 2 (B) 4 (C) 6 (D) 8 
 
 
Q.5  Arrange the following three-dimensional objects in the descending order of their volumes: 
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm
 
 
(ii)  A cube of side 8 cm 
(iii)  A cylinder with base radius 7 cm and height 7 cm 
(iv)  A sphere of radius 7 cm 
 
(A) (i), (ii), (iii), (iv) 
(B) (ii), (i), (iv), (iii) 
(C) (iii), (ii), (i), (iv) 
(D) (iv), (iii), (ii), (i) 
 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  An automobile travels from city A to city B and returns to city A by the same route. The 
speed of the vehicle during the onward and return journeys were constant at 60 km/h and 
90 km/h, respectively. What is the average speed in km/h for the entire journey? 
 
(A) 72 (B) 73 (C) 74 (D) 75 
 
GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 2/2 
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many 
parallelograms are formed? 
 
(A) 20 (B) 48 (C) 60 (D) 72 
 
 
Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was 
answered correctly by 2,60,000 candidates. Both questions A and B were answered 
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. 
If the number of students answering all questions correctly is the same as the number 
answering none, how many candidates failed to clear the test? 
 
(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 
 
 
Q.9  
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
? 
 
(A) 1 (B) 5 (C) 7 (D) 9 
 
 
Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no 
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another 
unrelated study, it was found that the revenue from cracker sales in India which remained 
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. 
The solid line in the graph below refers to annual sale of crackers and the dashed line refers 
to the annual crow births in India. Choose the most appropriate inference from the above 
data. 
 
 
(A) There is a strong correlation between crow birth and cracker sales. 
(B) Cracker usage increases crow birth rate. 
(C) If cracker sale declines, crow birth will decline. 
(D) Increased birth rate of crows will cause an increase in the sale of crackers. 
 
END OF THE QUESTION PAPER 
 
Page 3


GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 1/2 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “When she fell down the _______, she received many _______ but little help. ” 
 
The words that best fill the blanks in the above sentence are  
 
(A) stairs, stares (B) stairs, stairs 
(C) stares, stairs (D) stares, stares 
 
 
Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” 
 
The word that best fills the blank in the above sentence is  
 
(A) rational (B) reasonable (C) errant (D) good 
 
 
Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. 
 
(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? ) 
 
 
Q.4  
The area of an equilateral triangle is v 3. What is the perimeter of the triangle? 
 
(A) 2 (B) 4 (C) 6 (D) 8 
 
 
Q.5  Arrange the following three-dimensional objects in the descending order of their volumes: 
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm
 
 
(ii)  A cube of side 8 cm 
(iii)  A cylinder with base radius 7 cm and height 7 cm 
(iv)  A sphere of radius 7 cm 
 
(A) (i), (ii), (iii), (iv) 
(B) (ii), (i), (iv), (iii) 
(C) (iii), (ii), (i), (iv) 
(D) (iv), (iii), (ii), (i) 
 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  An automobile travels from city A to city B and returns to city A by the same route. The 
speed of the vehicle during the onward and return journeys were constant at 60 km/h and 
90 km/h, respectively. What is the average speed in km/h for the entire journey? 
 
(A) 72 (B) 73 (C) 74 (D) 75 
 
GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 2/2 
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many 
parallelograms are formed? 
 
(A) 20 (B) 48 (C) 60 (D) 72 
 
 
Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was 
answered correctly by 2,60,000 candidates. Both questions A and B were answered 
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. 
If the number of students answering all questions correctly is the same as the number 
answering none, how many candidates failed to clear the test? 
 
(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 
 
 
Q.9  
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
? 
 
(A) 1 (B) 5 (C) 7 (D) 9 
 
 
Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no 
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another 
unrelated study, it was found that the revenue from cracker sales in India which remained 
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. 
The solid line in the graph below refers to annual sale of crackers and the dashed line refers 
to the annual crow births in India. Choose the most appropriate inference from the above 
data. 
 
 
(A) There is a strong correlation between crow birth and cracker sales. 
(B) Cracker usage increases crow birth rate. 
(C) If cracker sale declines, crow birth will decline. 
(D) Increased birth rate of crows will cause an increase in the sale of crackers. 
 
END OF THE QUESTION PAPER 
 
GATE 2018    Agricultural Engineering  
AG 1/9 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  The general solution to the second order linear homogeneous differential equation             
y? - 6y' + 25y = 0 is 
(A) e
3x
(a cos 4x+ b sin 4x) (B) e
3ix
(a cos 4x+ b sin 4x) 
(C) e
4x
(a cos 3x+ b sin 3x) (D) e
4ix
(a cos 3x+ b sin 3x) 
 
 
Q.2  Solution of f(x) = x
4
 +2 x
3
 – 4 x
2
 + 3 x – 1 = 0 is 
(A) 0.333 (B) 0.646 (C)  0.658 (D)  1.000 
 
 
Q.3  
Integration of ?
2?? 2
?? ????
(?? 2
+ ?? 2
)
2
?? /2
0
 is  
(A)    
?? 2
 ?? 2
+ ?? 2
 
(B)     
4?? 2
4?? 2
+ ?? 2
 
(C)    
?? 2
?? 2
+ ?? 2
 
(D)     
?? 2
4?? 2
+ ?? 2
 
 
 
Q.4  
            
The type of the sequence ?? ?? = (
?? ?? -1
)
3
 is 
(A) oscillatory (B) bounded  
(C) converging (D) diverging 
 
 
Q.5  For accepting or rejecting a null hypothesis, which one of the following is NOT used as a 
significance test method in statistics? 
(A) Z-test         (B) Student’s t-test        
(C) Pearson’s correlation       (D) Relative standard deviation 
 
 
Q.6  For a two-wheel drive tractor, use of differential lock in adverse field condition ensures 
(A) equal distribution of torque to both the drive wheels. 
(B) equal distribution of power to both the drive wheels. 
(C) distribution of higher amount of torque to the wheel under poor traction. 
(D) distribution of higher amount of torque to the wheel under better traction. 
 
 
Q.7  During field evaluation of a combine harvester, total grain collected at the grain tank was 
135 kg. Amount of threshed grain found over walker and shoe were 0.65 kg and 2.4 kg, 
respectively. Unthreshed grain lost with straw and chaff were 4.54 kg and 0.28 kg, 
respectively. Threshing efficiency of the combine harvester in percent is 
(A) 94.37 (B) 94.49 (C) 96.50 (D) 96.63 
 
Page 4


GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 1/2 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “When she fell down the _______, she received many _______ but little help. ” 
 
The words that best fill the blanks in the above sentence are  
 
(A) stairs, stares (B) stairs, stairs 
(C) stares, stairs (D) stares, stares 
 
 
Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” 
 
The word that best fills the blank in the above sentence is  
 
(A) rational (B) reasonable (C) errant (D) good 
 
 
Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. 
 
(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? ) 
 
 
Q.4  
The area of an equilateral triangle is v 3. What is the perimeter of the triangle? 
 
(A) 2 (B) 4 (C) 6 (D) 8 
 
 
Q.5  Arrange the following three-dimensional objects in the descending order of their volumes: 
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm
 
 
(ii)  A cube of side 8 cm 
(iii)  A cylinder with base radius 7 cm and height 7 cm 
(iv)  A sphere of radius 7 cm 
 
(A) (i), (ii), (iii), (iv) 
(B) (ii), (i), (iv), (iii) 
(C) (iii), (ii), (i), (iv) 
(D) (iv), (iii), (ii), (i) 
 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  An automobile travels from city A to city B and returns to city A by the same route. The 
speed of the vehicle during the onward and return journeys were constant at 60 km/h and 
90 km/h, respectively. What is the average speed in km/h for the entire journey? 
 
(A) 72 (B) 73 (C) 74 (D) 75 
 
GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 2/2 
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many 
parallelograms are formed? 
 
(A) 20 (B) 48 (C) 60 (D) 72 
 
 
Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was 
answered correctly by 2,60,000 candidates. Both questions A and B were answered 
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. 
If the number of students answering all questions correctly is the same as the number 
answering none, how many candidates failed to clear the test? 
 
(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 
 
 
Q.9  
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
? 
 
(A) 1 (B) 5 (C) 7 (D) 9 
 
 
Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no 
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another 
unrelated study, it was found that the revenue from cracker sales in India which remained 
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. 
The solid line in the graph below refers to annual sale of crackers and the dashed line refers 
to the annual crow births in India. Choose the most appropriate inference from the above 
data. 
 
 
(A) There is a strong correlation between crow birth and cracker sales. 
(B) Cracker usage increases crow birth rate. 
(C) If cracker sale declines, crow birth will decline. 
(D) Increased birth rate of crows will cause an increase in the sale of crackers. 
 
END OF THE QUESTION PAPER 
 
GATE 2018    Agricultural Engineering  
AG 1/9 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  The general solution to the second order linear homogeneous differential equation             
y? - 6y' + 25y = 0 is 
(A) e
3x
(a cos 4x+ b sin 4x) (B) e
3ix
(a cos 4x+ b sin 4x) 
(C) e
4x
(a cos 3x+ b sin 3x) (D) e
4ix
(a cos 3x+ b sin 3x) 
 
 
Q.2  Solution of f(x) = x
4
 +2 x
3
 – 4 x
2
 + 3 x – 1 = 0 is 
(A) 0.333 (B) 0.646 (C)  0.658 (D)  1.000 
 
 
Q.3  
Integration of ?
2?? 2
?? ????
(?? 2
+ ?? 2
)
2
?? /2
0
 is  
(A)    
?? 2
 ?? 2
+ ?? 2
 
(B)     
4?? 2
4?? 2
+ ?? 2
 
(C)    
?? 2
?? 2
+ ?? 2
 
(D)     
?? 2
4?? 2
+ ?? 2
 
 
 
Q.4  
            
The type of the sequence ?? ?? = (
?? ?? -1
)
3
 is 
(A) oscillatory (B) bounded  
(C) converging (D) diverging 
 
 
Q.5  For accepting or rejecting a null hypothesis, which one of the following is NOT used as a 
significance test method in statistics? 
(A) Z-test         (B) Student’s t-test        
(C) Pearson’s correlation       (D) Relative standard deviation 
 
 
Q.6  For a two-wheel drive tractor, use of differential lock in adverse field condition ensures 
(A) equal distribution of torque to both the drive wheels. 
(B) equal distribution of power to both the drive wheels. 
(C) distribution of higher amount of torque to the wheel under poor traction. 
(D) distribution of higher amount of torque to the wheel under better traction. 
 
 
Q.7  During field evaluation of a combine harvester, total grain collected at the grain tank was 
135 kg. Amount of threshed grain found over walker and shoe were 0.65 kg and 2.4 kg, 
respectively. Unthreshed grain lost with straw and chaff were 4.54 kg and 0.28 kg, 
respectively. Threshing efficiency of the combine harvester in percent is 
(A) 94.37 (B) 94.49 (C) 96.50 (D) 96.63 
 
GATE 2018    Agricultural Engineering  
AG 2/9 
Q.8  Match the following items of Column I with the corresponding items of Column II: 
 
 Column I   Column II 
P. Cetane number  1. Beam radiation 
Q. Pyrheliometer  2. Anti-knock quality 
R. Octane number  3. Total solar radiation 
S. Pyranometer  4. Ignition quality 
 
(A) P-2, Q-3, R-1, S-4 (B) P-4, Q-1, R-2, S-3 
(C) P-4, Q-3, R-2, S-1 (D) P-2, Q-4, R-1, S-3 
 
 
Q.9  Constituents of the producer gas contributing to its heating value are 
(A) CO and CO2 (B) CH4 and CO2 (C) CO and H2 (D) CO2 and H2 
 
 
Q.10  One of the key assumptions made by Dupuit-Forchheimer about the flow behavior in the 
porous medium towards subsurface drains is 
(A) homogeneous medium  (B) isotropic medium 
(C) horizontal streamlines (D) uniform recharge 
 
 
Q.11  The depths from the soil surface to subsurface tile drains, impermeable soil layer and the 
highest water table are measured as 2.8 m, 5.0 m and 0.8 m, respectively. The effective 
hydraulic head for drainage in meter is 
(A)  0.8 (B)  2.0  (C)  2.2 (D)  4.2 
 
 
Q.12  The discharge from a sprinkler nozzle depends on 
(A) operating pressure and nozzle geometry. 
(B) operating pressure and distribution pattern. 
(C) application rate and nozzle angle. 
(D) operating pressure and application rate. 
 
 
Q.13  If the void ratio of a soil column is 0.43, the soil porosity is 
(A) 0.30 (B) 0.40 (C) 0.70 (D) 0.75 
 
 
Q.14  Which one of the following is a WRONG statement? 
(A) The head generated by a centrifugal pump at zero discharge is the ‘shutoff head’. 
(B) To avoid cavitation in centrifugal pumps, the net positive suction head should be more 
than the theoretical atmospheric pressure. 
(C) According to the affinity laws of centrifugal pumps, the head varies with the square of 
the impeller speed. 
(D) Most of the turbine pumps have operational characteristics closer to those of the 
centrifugal pumps than the propeller pumps. 
 
 
Page 5


GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 1/2 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “When she fell down the _______, she received many _______ but little help. ” 
 
The words that best fill the blanks in the above sentence are  
 
(A) stairs, stares (B) stairs, stairs 
(C) stares, stairs (D) stares, stares 
 
 
Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” 
 
The word that best fills the blank in the above sentence is  
 
(A) rational (B) reasonable (C) errant (D) good 
 
 
Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. 
 
(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? ) 
 
 
Q.4  
The area of an equilateral triangle is v 3. What is the perimeter of the triangle? 
 
(A) 2 (B) 4 (C) 6 (D) 8 
 
 
Q.5  Arrange the following three-dimensional objects in the descending order of their volumes: 
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm
 
 
(ii)  A cube of side 8 cm 
(iii)  A cylinder with base radius 7 cm and height 7 cm 
(iv)  A sphere of radius 7 cm 
 
(A) (i), (ii), (iii), (iv) 
(B) (ii), (i), (iv), (iii) 
(C) (iii), (ii), (i), (iv) 
(D) (iv), (iii), (ii), (i) 
 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  An automobile travels from city A to city B and returns to city A by the same route. The 
speed of the vehicle during the onward and return journeys were constant at 60 km/h and 
90 km/h, respectively. What is the average speed in km/h for the entire journey? 
 
(A) 72 (B) 73 (C) 74 (D) 75 
 
GATE 2018                                                                                            General Aptitude (GA) Set-4  
GA 2/2 
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many 
parallelograms are formed? 
 
(A) 20 (B) 48 (C) 60 (D) 72 
 
 
Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was 
answered correctly by 2,60,000 candidates. Both questions A and B were answered 
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. 
If the number of students answering all questions correctly is the same as the number 
answering none, how many candidates failed to clear the test? 
 
(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 
 
 
Q.9  
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
? 
 
(A) 1 (B) 5 (C) 7 (D) 9 
 
 
Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no 
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another 
unrelated study, it was found that the revenue from cracker sales in India which remained 
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. 
The solid line in the graph below refers to annual sale of crackers and the dashed line refers 
to the annual crow births in India. Choose the most appropriate inference from the above 
data. 
 
 
(A) There is a strong correlation between crow birth and cracker sales. 
(B) Cracker usage increases crow birth rate. 
(C) If cracker sale declines, crow birth will decline. 
(D) Increased birth rate of crows will cause an increase in the sale of crackers. 
 
END OF THE QUESTION PAPER 
 
GATE 2018    Agricultural Engineering  
AG 1/9 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  The general solution to the second order linear homogeneous differential equation             
y? - 6y' + 25y = 0 is 
(A) e
3x
(a cos 4x+ b sin 4x) (B) e
3ix
(a cos 4x+ b sin 4x) 
(C) e
4x
(a cos 3x+ b sin 3x) (D) e
4ix
(a cos 3x+ b sin 3x) 
 
 
Q.2  Solution of f(x) = x
4
 +2 x
3
 – 4 x
2
 + 3 x – 1 = 0 is 
(A) 0.333 (B) 0.646 (C)  0.658 (D)  1.000 
 
 
Q.3  
Integration of ?
2?? 2
?? ????
(?? 2
+ ?? 2
)
2
?? /2
0
 is  
(A)    
?? 2
 ?? 2
+ ?? 2
 
(B)     
4?? 2
4?? 2
+ ?? 2
 
(C)    
?? 2
?? 2
+ ?? 2
 
(D)     
?? 2
4?? 2
+ ?? 2
 
 
 
Q.4  
            
The type of the sequence ?? ?? = (
?? ?? -1
)
3
 is 
(A) oscillatory (B) bounded  
(C) converging (D) diverging 
 
 
Q.5  For accepting or rejecting a null hypothesis, which one of the following is NOT used as a 
significance test method in statistics? 
(A) Z-test         (B) Student’s t-test        
(C) Pearson’s correlation       (D) Relative standard deviation 
 
 
Q.6  For a two-wheel drive tractor, use of differential lock in adverse field condition ensures 
(A) equal distribution of torque to both the drive wheels. 
(B) equal distribution of power to both the drive wheels. 
(C) distribution of higher amount of torque to the wheel under poor traction. 
(D) distribution of higher amount of torque to the wheel under better traction. 
 
 
Q.7  During field evaluation of a combine harvester, total grain collected at the grain tank was 
135 kg. Amount of threshed grain found over walker and shoe were 0.65 kg and 2.4 kg, 
respectively. Unthreshed grain lost with straw and chaff were 4.54 kg and 0.28 kg, 
respectively. Threshing efficiency of the combine harvester in percent is 
(A) 94.37 (B) 94.49 (C) 96.50 (D) 96.63 
 
GATE 2018    Agricultural Engineering  
AG 2/9 
Q.8  Match the following items of Column I with the corresponding items of Column II: 
 
 Column I   Column II 
P. Cetane number  1. Beam radiation 
Q. Pyrheliometer  2. Anti-knock quality 
R. Octane number  3. Total solar radiation 
S. Pyranometer  4. Ignition quality 
 
(A) P-2, Q-3, R-1, S-4 (B) P-4, Q-1, R-2, S-3 
(C) P-4, Q-3, R-2, S-1 (D) P-2, Q-4, R-1, S-3 
 
 
Q.9  Constituents of the producer gas contributing to its heating value are 
(A) CO and CO2 (B) CH4 and CO2 (C) CO and H2 (D) CO2 and H2 
 
 
Q.10  One of the key assumptions made by Dupuit-Forchheimer about the flow behavior in the 
porous medium towards subsurface drains is 
(A) homogeneous medium  (B) isotropic medium 
(C) horizontal streamlines (D) uniform recharge 
 
 
Q.11  The depths from the soil surface to subsurface tile drains, impermeable soil layer and the 
highest water table are measured as 2.8 m, 5.0 m and 0.8 m, respectively. The effective 
hydraulic head for drainage in meter is 
(A)  0.8 (B)  2.0  (C)  2.2 (D)  4.2 
 
 
Q.12  The discharge from a sprinkler nozzle depends on 
(A) operating pressure and nozzle geometry. 
(B) operating pressure and distribution pattern. 
(C) application rate and nozzle angle. 
(D) operating pressure and application rate. 
 
 
Q.13  If the void ratio of a soil column is 0.43, the soil porosity is 
(A) 0.30 (B) 0.40 (C) 0.70 (D) 0.75 
 
 
Q.14  Which one of the following is a WRONG statement? 
(A) The head generated by a centrifugal pump at zero discharge is the ‘shutoff head’. 
(B) To avoid cavitation in centrifugal pumps, the net positive suction head should be more 
than the theoretical atmospheric pressure. 
(C) According to the affinity laws of centrifugal pumps, the head varies with the square of 
the impeller speed. 
(D) Most of the turbine pumps have operational characteristics closer to those of the 
centrifugal pumps than the propeller pumps. 
 
 
GATE 2018    Agricultural Engineering  
AG 3/9 
Q.15  If the departure and latitude of a line during Theodolite survey are 70.03 m and -100 m, 
respectively, the whole circle bearing of this line in degree is 
(A) 55 (B) 125 (C) 135 (D) 145 
 
 
Q.16  Convective film heat transfer coefficient (h) of air (thermal conductivity=0.025 W m
-1
 K
-1
) 
in W m
-2
 K
-1
, trapped between two parallel glass panes in a window 1.5 mm apart, is 
(A) 3.75
 
(B) 16.67 (C)  37.52 (D) 60.21 
 
 
Q.17  Log mean temperature difference (LMTD) correction factor (F) is applicable to   
(A) Spiral tube heat exchanger (B) Steam jacketed kettle 
(C) Plate heat exchanger (D) Evaporator tubes 
 
 
Q.18  Which one of the following statements related to parboiling of paddy is NOT correct? 
(A) Irreversible granule swelling occurs during heating. 
(B) Parboiling process is used to salvage wet or damaged paddy. 
(C) Parboiled rice takes less time to cook as compared to raw rice due to starch 
gelatinization. 
(D) Milling yield of paddy increases due to starch gelatinization. 
 
 
Q.19  In refining of the rice bran oil for edible purpose, neutralization process is carried out 
mainly to remove  
(A) wax and organic impurities (B) gums and mucilage 
(C) saturated glycerides (D) free fatty acids 
 
 
Q.20  Which one of the following chemicals is NOT used for fumigation in either horizontal or 
vertical storage structures to kill insects? 
(A) Methyl bromide (B) Phosphine 
(C) Phostoxin (D) Silver sulphate 
 
 
Q.21  Match the following agricultural/food by-products in Column I with their respective    
value added products in Column II. 
 
 Column I  Column II 
P. Banana pseudostem 1. Silicon tetrachloride 
Q. Coconut shell 2. Protein food 
R. Meat waste 3. Starch 
S. Rice husk 4. Furfural 
 
(A) P-2, Q-3, R-1, S-4 (B) P-3, Q-4, R-2, S-1 
(C) P-4, Q-3, R-2, S-1 (D) P-3, Q-1, R-2, S-4 
 
 
 
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