Aeronautical Engineering - AE 2018 GATE Paper with solution GATE Notes | EduRev

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GATE : Aeronautical Engineering - AE 2018 GATE Paper with solution GATE Notes | EduRev

 Page 1


GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The dress _________ her so well that they all immediately _________ her on her 
appearance.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) complemented, complemented (B) complimented, complemented 
(C) complimented, complimented (D) complemented, complimented 
 
 
Q.2  “The judge’s standing in the legal community, though shaken by false allegations of 
wrongdoing, remained _________.” 
 
The word that best fills the blank in the above sentence is  
 
(A) undiminished (B) damaged (C) illegal (D) uncertain 
 
 
Q.3  Find the missing group of letters in the following series: 
BC, FGH, LMNO, _____ 
 
(A) UVWXY (B) TUVWX (C) STUVW (D) RSTUV 
 
 
Q.4  The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the 
following statements is true? 
 
(A) The circle has the largest area. 
(B) The square has the largest area. 
(C) The equilateral triangle has the largest area. 
(D) All the three shapes have the same area. 
 
 
Q.5  
The value of the expression 
1
1 + log
?? ????
+
1
1 + log
?? ????
+
1
1 + log
?? ????
 is _________. 
 
(A) -1 (B) 0 (C) 1 (D) 3 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  Forty students watched films A, B and C over a week. Each student watched either only 
one film or all three. Thirteen students watched film A, sixteen students watched film B 
and nineteen students watched film C. How many students watched all three films? 
 
(A) 0 (B) 2 (C) 4 (D) 8 
 
 
Page 2


GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The dress _________ her so well that they all immediately _________ her on her 
appearance.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) complemented, complemented (B) complimented, complemented 
(C) complimented, complimented (D) complemented, complimented 
 
 
Q.2  “The judge’s standing in the legal community, though shaken by false allegations of 
wrongdoing, remained _________.” 
 
The word that best fills the blank in the above sentence is  
 
(A) undiminished (B) damaged (C) illegal (D) uncertain 
 
 
Q.3  Find the missing group of letters in the following series: 
BC, FGH, LMNO, _____ 
 
(A) UVWXY (B) TUVWX (C) STUVW (D) RSTUV 
 
 
Q.4  The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the 
following statements is true? 
 
(A) The circle has the largest area. 
(B) The square has the largest area. 
(C) The equilateral triangle has the largest area. 
(D) All the three shapes have the same area. 
 
 
Q.5  
The value of the expression 
1
1 + log
?? ????
+
1
1 + log
?? ????
+
1
1 + log
?? ????
 is _________. 
 
(A) -1 (B) 0 (C) 1 (D) 3 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  Forty students watched films A, B and C over a week. Each student watched either only 
one film or all three. Thirteen students watched film A, sixteen students watched film B 
and nineteen students watched film C. How many students watched all three films? 
 
(A) 0 (B) 2 (C) 4 (D) 8 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 2/3 
Q.7  A wire would enclose an area of 1936 m
2
, if it is bent into a square. The wire is cut into 
two pieces. The longer piece is thrice as long as the shorter piece. The long and the short 
pieces are bent into a square and a circle, respectively. Which of the following choices is 
closest to the sum of the areas enclosed by the two pieces in square meters? 
 
(A) 1096 (B) 1111 (C) 1243 (D) 2486 
 
 
Q.8  A contract is to be completed in 52 days and 125 identical robots were employed, each 
operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How 
many additional robots would be required to complete the work on time, if each robot is 
now operational for 8 hours a day? 
 
(A) 50 (B) 89 (C) 146 (D) 175 
 
 
Q.9  A house has a number which needs to be identified. The following three statements are 
given that can help in identifying the house number. 
i. If the house number is a multiple of 3, then it is a number from 50 to 59. 
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. 
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. 
 
What is the house number? 
 
(A) 54 (B) 65 (C) 66 (D) 76 
 
  
Page 3


GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The dress _________ her so well that they all immediately _________ her on her 
appearance.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) complemented, complemented (B) complimented, complemented 
(C) complimented, complimented (D) complemented, complimented 
 
 
Q.2  “The judge’s standing in the legal community, though shaken by false allegations of 
wrongdoing, remained _________.” 
 
The word that best fills the blank in the above sentence is  
 
(A) undiminished (B) damaged (C) illegal (D) uncertain 
 
 
Q.3  Find the missing group of letters in the following series: 
BC, FGH, LMNO, _____ 
 
(A) UVWXY (B) TUVWX (C) STUVW (D) RSTUV 
 
 
Q.4  The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the 
following statements is true? 
 
(A) The circle has the largest area. 
(B) The square has the largest area. 
(C) The equilateral triangle has the largest area. 
(D) All the three shapes have the same area. 
 
 
Q.5  
The value of the expression 
1
1 + log
?? ????
+
1
1 + log
?? ????
+
1
1 + log
?? ????
 is _________. 
 
(A) -1 (B) 0 (C) 1 (D) 3 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  Forty students watched films A, B and C over a week. Each student watched either only 
one film or all three. Thirteen students watched film A, sixteen students watched film B 
and nineteen students watched film C. How many students watched all three films? 
 
(A) 0 (B) 2 (C) 4 (D) 8 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 2/3 
Q.7  A wire would enclose an area of 1936 m
2
, if it is bent into a square. The wire is cut into 
two pieces. The longer piece is thrice as long as the shorter piece. The long and the short 
pieces are bent into a square and a circle, respectively. Which of the following choices is 
closest to the sum of the areas enclosed by the two pieces in square meters? 
 
(A) 1096 (B) 1111 (C) 1243 (D) 2486 
 
 
Q.8  A contract is to be completed in 52 days and 125 identical robots were employed, each 
operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How 
many additional robots would be required to complete the work on time, if each robot is 
now operational for 8 hours a day? 
 
(A) 50 (B) 89 (C) 146 (D) 175 
 
 
Q.9  A house has a number which needs to be identified. The following three statements are 
given that can help in identifying the house number. 
i. If the house number is a multiple of 3, then it is a number from 50 to 59. 
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. 
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. 
 
What is the house number? 
 
(A) 54 (B) 65 (C) 66 (D) 76 
 
  
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 3/3 
 
Q.10  An unbiased coin is tossed six times in a row and four different such trials are conducted. 
One trial implies six tosses of the coin. If H stands for head and T stands for tail, the 
following are the observations from the four trials: 
(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __. 
 
Which statement describing the last two coin tosses of the fourth trial has the highest 
probability of being correct? 
 
(A) Two T will occur. 
(B) One H and one T will occur. 
(C) Two H will occur. 
(D) One H will be followed by one T. 
 
 
END OF THE QUESTION PAPER 
 
Page 4


GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The dress _________ her so well that they all immediately _________ her on her 
appearance.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) complemented, complemented (B) complimented, complemented 
(C) complimented, complimented (D) complemented, complimented 
 
 
Q.2  “The judge’s standing in the legal community, though shaken by false allegations of 
wrongdoing, remained _________.” 
 
The word that best fills the blank in the above sentence is  
 
(A) undiminished (B) damaged (C) illegal (D) uncertain 
 
 
Q.3  Find the missing group of letters in the following series: 
BC, FGH, LMNO, _____ 
 
(A) UVWXY (B) TUVWX (C) STUVW (D) RSTUV 
 
 
Q.4  The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the 
following statements is true? 
 
(A) The circle has the largest area. 
(B) The square has the largest area. 
(C) The equilateral triangle has the largest area. 
(D) All the three shapes have the same area. 
 
 
Q.5  
The value of the expression 
1
1 + log
?? ????
+
1
1 + log
?? ????
+
1
1 + log
?? ????
 is _________. 
 
(A) -1 (B) 0 (C) 1 (D) 3 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  Forty students watched films A, B and C over a week. Each student watched either only 
one film or all three. Thirteen students watched film A, sixteen students watched film B 
and nineteen students watched film C. How many students watched all three films? 
 
(A) 0 (B) 2 (C) 4 (D) 8 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 2/3 
Q.7  A wire would enclose an area of 1936 m
2
, if it is bent into a square. The wire is cut into 
two pieces. The longer piece is thrice as long as the shorter piece. The long and the short 
pieces are bent into a square and a circle, respectively. Which of the following choices is 
closest to the sum of the areas enclosed by the two pieces in square meters? 
 
(A) 1096 (B) 1111 (C) 1243 (D) 2486 
 
 
Q.8  A contract is to be completed in 52 days and 125 identical robots were employed, each 
operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How 
many additional robots would be required to complete the work on time, if each robot is 
now operational for 8 hours a day? 
 
(A) 50 (B) 89 (C) 146 (D) 175 
 
 
Q.9  A house has a number which needs to be identified. The following three statements are 
given that can help in identifying the house number. 
i. If the house number is a multiple of 3, then it is a number from 50 to 59. 
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. 
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. 
 
What is the house number? 
 
(A) 54 (B) 65 (C) 66 (D) 76 
 
  
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 3/3 
 
Q.10  An unbiased coin is tossed six times in a row and four different such trials are conducted. 
One trial implies six tosses of the coin. If H stands for head and T stands for tail, the 
following are the observations from the four trials: 
(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __. 
 
Which statement describing the last two coin tosses of the fourth trial has the highest 
probability of being correct? 
 
(A) Two T will occur. 
(B) One H and one T will occur. 
(C) Two H will occur. 
(D) One H will be followed by one T. 
 
 
END OF THE QUESTION PAPER 
 
GATE 2018                                                                                                                                                                         Aerospace Engineering 
AE 1/9 
Q. 1 – Q. 25 carry one mark each. 
Q.1  
Let ?? ? , ?? ? ?
 be two distinct vectors that are not parallel. The vector ?? ? = ?? ? × ?? ? ?
 is 
(A) zero. (B) orthogonal to ?? ? alone. 
(C) orthogonal to  ?? ? + ?? ? ?
. (D) orthogonal to ?? ? ?
 alone. 
 
 
Q.2  
Consider the function ?? (?? , ?? ) =
?? 2
2
+
?? 2
3
- 5. All the roots of this function 
(A) form a finite set of points. 
(B) lie on an elliptical curve. 
(C) lie on the surface of a sphere. 
(D) lie on a hyperbolic curve. 
 
 
Q.3  
Consider a vector field given by ?? ?? ^ + ?? ?? ^ + ?? ?? ^
. This vector field is 
(A) divergence-free and curl-free. 
(B) curl-free but not divergence-free. 
(C) divergence-free but not curl-free. 
(D) neither divergence-free nor curl-free. 
 
 
Q.4  A jet aircraft is initially flying steady and level at its maximum endurance condition. For the 
aircraft to fly steady and level, but faster at the same altitude, the pilot should 
(A) increase thrust alone. 
(B) increase thrust and increase angle of attack. 
(C) increase thrust and reduce angle of attack. 
(D) reduce angle of attack alone. 
 
 
Q.5  The pilot of a conventional airplane that is flying steady and level at some altitude, deflects 
the port side aileron up and the starboard aileron down. The aircraft will then    
(A) pitch, nose up. 
(B) roll with the starboard wing up. 
(C) pitch, nose down. 
(D) roll with the port wing up. 
 
 
Q.6  A NACA 0012 airfoil has a trailing edge flap. The airfoil is operating at an angle of attack 
of 5 degrees with un-deflected flap. If the flap is now deflected by 5 degrees downwards, the 
?? ?? versus ?? curve 
(A) shifts right and slope increases. 
(B) shifts left and slope increases. 
(C) shifts left and slope stays the same. 
(D) shifts right and slope stays the same. 
 
 
 
Page 5


GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The dress _________ her so well that they all immediately _________ her on her 
appearance.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) complemented, complemented (B) complimented, complemented 
(C) complimented, complimented (D) complemented, complimented 
 
 
Q.2  “The judge’s standing in the legal community, though shaken by false allegations of 
wrongdoing, remained _________.” 
 
The word that best fills the blank in the above sentence is  
 
(A) undiminished (B) damaged (C) illegal (D) uncertain 
 
 
Q.3  Find the missing group of letters in the following series: 
BC, FGH, LMNO, _____ 
 
(A) UVWXY (B) TUVWX (C) STUVW (D) RSTUV 
 
 
Q.4  The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the 
following statements is true? 
 
(A) The circle has the largest area. 
(B) The square has the largest area. 
(C) The equilateral triangle has the largest area. 
(D) All the three shapes have the same area. 
 
 
Q.5  
The value of the expression 
1
1 + log
?? ????
+
1
1 + log
?? ????
+
1
1 + log
?? ????
 is _________. 
 
(A) -1 (B) 0 (C) 1 (D) 3 
 
 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  Forty students watched films A, B and C over a week. Each student watched either only 
one film or all three. Thirteen students watched film A, sixteen students watched film B 
and nineteen students watched film C. How many students watched all three films? 
 
(A) 0 (B) 2 (C) 4 (D) 8 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 2/3 
Q.7  A wire would enclose an area of 1936 m
2
, if it is bent into a square. The wire is cut into 
two pieces. The longer piece is thrice as long as the shorter piece. The long and the short 
pieces are bent into a square and a circle, respectively. Which of the following choices is 
closest to the sum of the areas enclosed by the two pieces in square meters? 
 
(A) 1096 (B) 1111 (C) 1243 (D) 2486 
 
 
Q.8  A contract is to be completed in 52 days and 125 identical robots were employed, each 
operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How 
many additional robots would be required to complete the work on time, if each robot is 
now operational for 8 hours a day? 
 
(A) 50 (B) 89 (C) 146 (D) 175 
 
 
Q.9  A house has a number which needs to be identified. The following three statements are 
given that can help in identifying the house number. 
i. If the house number is a multiple of 3, then it is a number from 50 to 59. 
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. 
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. 
 
What is the house number? 
 
(A) 54 (B) 65 (C) 66 (D) 76 
 
  
GATE 2018                                                                                            General Aptitude (GA) Set-2  
GA 3/3 
 
Q.10  An unbiased coin is tossed six times in a row and four different such trials are conducted. 
One trial implies six tosses of the coin. If H stands for head and T stands for tail, the 
following are the observations from the four trials: 
(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __. 
 
Which statement describing the last two coin tosses of the fourth trial has the highest 
probability of being correct? 
 
(A) Two T will occur. 
(B) One H and one T will occur. 
(C) Two H will occur. 
(D) One H will be followed by one T. 
 
 
END OF THE QUESTION PAPER 
 
GATE 2018                                                                                                                                                                         Aerospace Engineering 
AE 1/9 
Q. 1 – Q. 25 carry one mark each. 
Q.1  
Let ?? ? , ?? ? ?
 be two distinct vectors that are not parallel. The vector ?? ? = ?? ? × ?? ? ?
 is 
(A) zero. (B) orthogonal to ?? ? alone. 
(C) orthogonal to  ?? ? + ?? ? ?
. (D) orthogonal to ?? ? ?
 alone. 
 
 
Q.2  
Consider the function ?? (?? , ?? ) =
?? 2
2
+
?? 2
3
- 5. All the roots of this function 
(A) form a finite set of points. 
(B) lie on an elliptical curve. 
(C) lie on the surface of a sphere. 
(D) lie on a hyperbolic curve. 
 
 
Q.3  
Consider a vector field given by ?? ?? ^ + ?? ?? ^ + ?? ?? ^
. This vector field is 
(A) divergence-free and curl-free. 
(B) curl-free but not divergence-free. 
(C) divergence-free but not curl-free. 
(D) neither divergence-free nor curl-free. 
 
 
Q.4  A jet aircraft is initially flying steady and level at its maximum endurance condition. For the 
aircraft to fly steady and level, but faster at the same altitude, the pilot should 
(A) increase thrust alone. 
(B) increase thrust and increase angle of attack. 
(C) increase thrust and reduce angle of attack. 
(D) reduce angle of attack alone. 
 
 
Q.5  The pilot of a conventional airplane that is flying steady and level at some altitude, deflects 
the port side aileron up and the starboard aileron down. The aircraft will then    
(A) pitch, nose up. 
(B) roll with the starboard wing up. 
(C) pitch, nose down. 
(D) roll with the port wing up. 
 
 
Q.6  A NACA 0012 airfoil has a trailing edge flap. The airfoil is operating at an angle of attack 
of 5 degrees with un-deflected flap. If the flap is now deflected by 5 degrees downwards, the 
?? ?? versus ?? curve 
(A) shifts right and slope increases. 
(B) shifts left and slope increases. 
(C) shifts left and slope stays the same. 
(D) shifts right and slope stays the same. 
 
 
 
GATE 2018                                                                                                                                                                         Aerospace Engineering 
AE 2/9 
Q.7  An airplane requires a longer ground roll to lift-off on hot summer days because 
(A) the thrust is directly proportional to free-stream density. 
(B) the thrust is directly proportional to weight of the aircraft. 
(C) the lift-off distance is directly proportional to free-stream density. 
(D) the runway friction is high on hot summer days. 
 
 
Q.8  The velocity profile in an incompressible, laminar boundary layer is shown in the figure 
below. U is the free-stream velocity, u(y) is the stream-wise velocity component. The area 
of the black shaded region in the figure below represents the 
 
 
 
 
                                                    y 
 
 
 
 
(A) boundary layer thickness. 
(B) momentum thickness. 
(C) displacement thickness.  
(D) shape factor. 
 
 
Q.9  The tangential velocity component ‘V’ of a spacecraft, which is in a circular orbit of radius 
‘R’ around a spherical Earth (µ = GM ? gravitational parameter of Earth) is given by the 
following expression. 
(A) ?? = v
µ
2?? (B) ?? = v
µ
?? 
(C)  ?? =
2?? vµ
?? 3
2
 (D) ?? =
2?? vµ
?? 2
3
 
 
 
Q.10  Equation of the trajectory of a typical space object around any planet, in polar coordinates 
(r, ?) (i.e. a general conic section geometry), is given as follows. (h is angular momentum, 
µ is gravitational parameter, e is eccentricity, r is radial distance from the planet center, ?, 
is angle between vectors ?? ? and  ?? ?. 
(A) ?? =
(
h
2
µ
/ )
1-?? ?????? ?
 (B) ?? =
(
h
2
µ
/ )
?? -?????? ?
 
(C) ?? =
(
h
2
µ
/ )
1+?? ?????? ?
 (D) ?? =
(
h
2
µ
/ )
?? +?????? ?
 
 
 
Q.11  In an elliptic orbit around any planet, the location at which a spacecraft has the maximum 
angular velocity is 
(A) apoapsis. (B) periapsis. 
(C) a point at +45
o
 from periapsis. (D) a point at ?90
o
 from apoapsis. 
 
 
u(y)/U 
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