Aeronautical Engineering (AE) 2016 GATE Paper with solution - GATE Past Year Papers for Practice (All Branches)

 Page 1


GATE 2016  General Aptitude – GA Set-8 
Q. 1 – Q. 5 carry one mark each. 
Q.1 The chairman requested the aggrieved shareholders to _________________ him. 
 
(A)   bare with (B)   bore with (C)   bear with (D)   bare 
 
 
Q.2 Identify the correct spelling out of the given options: 
(A) Managable (B) Manageable (C)  Mangaeble (D)  Managible 
 
 
Q.3 Pick the odd one out in the following: 
 
13, 23, 33, 43, 53 
(A)   23 (B)   33 (C)   43 (D)   53 
 
 
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. 
 
Which of the following can be logically inferred from the above statements? 
(A)   R2D2 is a robot which can only repair aeroplanes. 
 
(B)   R2D2 is the only robot which can repair aeroplanes. 
 
(C)   R2D2 is a robot which can repair only aeroplanes. 
 
(D)   Only R2D2 is a robot. 
 
 
 
Q.5 If   |9y -6| =3, then y
2
 -4y/3  is               . 
(A) 0 (B) +1/3 (C)  -1/3 (D)  undefined 
 
 
  
 1/3
Page 2


GATE 2016  General Aptitude – GA Set-8 
Q. 1 – Q. 5 carry one mark each. 
Q.1 The chairman requested the aggrieved shareholders to _________________ him. 
 
(A)   bare with (B)   bore with (C)   bear with (D)   bare 
 
 
Q.2 Identify the correct spelling out of the given options: 
(A) Managable (B) Manageable (C)  Mangaeble (D)  Managible 
 
 
Q.3 Pick the odd one out in the following: 
 
13, 23, 33, 43, 53 
(A)   23 (B)   33 (C)   43 (D)   53 
 
 
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. 
 
Which of the following can be logically inferred from the above statements? 
(A)   R2D2 is a robot which can only repair aeroplanes. 
 
(B)   R2D2 is the only robot which can repair aeroplanes. 
 
(C)   R2D2 is a robot which can repair only aeroplanes. 
 
(D)   Only R2D2 is a robot. 
 
 
 
Q.5 If   |9y -6| =3, then y
2
 -4y/3  is               . 
(A) 0 (B) +1/3 (C)  -1/3 (D)  undefined 
 
 
  
 1/3
GATE 2016  General Aptitude – GA Set-8 
Q. 6 – Q. 10 carry two marks each.  
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the 
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a 
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed 
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a 
small plant. The difference between total production of large plants and small plants, in tonnes is 
____. 
 
 
 
 
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed 
that mechanical engineering is a profession unsuitable for women. A research study on women with 
masters or higher degrees in mechanical engineering found that 99 % of such women were 
successful in their professions. 
 
Which of the following can be logically inferred from the above paragraph? 
(A)   Many students have misconceptions regarding various engineering disciplines. 
 
(B)  Men with advanced degrees in mechanical engineering believe women are well suited to be 
mechanical engineers. 
 
(C)  Mechanical engineering is a profession well suited for women with masters or higher degrees 
in mechanical engineering. 
 
(D)   The number of women pursuing higher degrees in mechanical engineering is small. 
 
 
 
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Page 3


GATE 2016  General Aptitude – GA Set-8 
Q. 1 – Q. 5 carry one mark each. 
Q.1 The chairman requested the aggrieved shareholders to _________________ him. 
 
(A)   bare with (B)   bore with (C)   bear with (D)   bare 
 
 
Q.2 Identify the correct spelling out of the given options: 
(A) Managable (B) Manageable (C)  Mangaeble (D)  Managible 
 
 
Q.3 Pick the odd one out in the following: 
 
13, 23, 33, 43, 53 
(A)   23 (B)   33 (C)   43 (D)   53 
 
 
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. 
 
Which of the following can be logically inferred from the above statements? 
(A)   R2D2 is a robot which can only repair aeroplanes. 
 
(B)   R2D2 is the only robot which can repair aeroplanes. 
 
(C)   R2D2 is a robot which can repair only aeroplanes. 
 
(D)   Only R2D2 is a robot. 
 
 
 
Q.5 If   |9y -6| =3, then y
2
 -4y/3  is               . 
(A) 0 (B) +1/3 (C)  -1/3 (D)  undefined 
 
 
  
 1/3
GATE 2016  General Aptitude – GA Set-8 
Q. 6 – Q. 10 carry two marks each.  
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the 
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a 
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed 
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a 
small plant. The difference between total production of large plants and small plants, in tonnes is 
____. 
 
 
 
 
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed 
that mechanical engineering is a profession unsuitable for women. A research study on women with 
masters or higher degrees in mechanical engineering found that 99 % of such women were 
successful in their professions. 
 
Which of the following can be logically inferred from the above paragraph? 
(A)   Many students have misconceptions regarding various engineering disciplines. 
 
(B)  Men with advanced degrees in mechanical engineering believe women are well suited to be 
mechanical engineers. 
 
(C)  Mechanical engineering is a profession well suited for women with masters or higher degrees 
in mechanical engineering. 
 
(D)   The number of women pursuing higher degrees in mechanical engineering is small. 
 
 
 
 2/3
GATE 2016  General Aptitude – GA Set-8 
 3/3
Q.8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line 
with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a 
developing country. 
 
Which of the following can be logically inferred from the above sentence? 
 
Based on the proposal, 
(i) In the initial years, SIT students will get degrees from IIT. 
(ii) SITs will have a distinct national objective. 
(iii) SIT like institutions can only be established in consultation with IIT. 
(iv) SITs will serve technological needs of a developing country. 
 
(A)   (iii) and (iv) only. (B)   (i) and (iv) only. 
 
(C)   (ii) and (iv) only. (D)   (ii) and (iii) only. 
 
 
Q.9 Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free 
throws out of 100 attempts on average. What is the probability that he will successfully 
make exactly 6 free throws in 10 attempts? 
 
(A)   0.2508
 
(B)   0.2816 (C)   0.2934 (D)   0.6000 
 
 
Q.10 The numeral in the units position of  211
870
 + 146
127
 × 3
424
 
is _____. 
 
 
END OF THE QUESTION PAPER 
 
Page 4


GATE 2016  General Aptitude – GA Set-8 
Q. 1 – Q. 5 carry one mark each. 
Q.1 The chairman requested the aggrieved shareholders to _________________ him. 
 
(A)   bare with (B)   bore with (C)   bear with (D)   bare 
 
 
Q.2 Identify the correct spelling out of the given options: 
(A) Managable (B) Manageable (C)  Mangaeble (D)  Managible 
 
 
Q.3 Pick the odd one out in the following: 
 
13, 23, 33, 43, 53 
(A)   23 (B)   33 (C)   43 (D)   53 
 
 
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. 
 
Which of the following can be logically inferred from the above statements? 
(A)   R2D2 is a robot which can only repair aeroplanes. 
 
(B)   R2D2 is the only robot which can repair aeroplanes. 
 
(C)   R2D2 is a robot which can repair only aeroplanes. 
 
(D)   Only R2D2 is a robot. 
 
 
 
Q.5 If   |9y -6| =3, then y
2
 -4y/3  is               . 
(A) 0 (B) +1/3 (C)  -1/3 (D)  undefined 
 
 
  
 1/3
GATE 2016  General Aptitude – GA Set-8 
Q. 6 – Q. 10 carry two marks each.  
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the 
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a 
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed 
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a 
small plant. The difference between total production of large plants and small plants, in tonnes is 
____. 
 
 
 
 
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed 
that mechanical engineering is a profession unsuitable for women. A research study on women with 
masters or higher degrees in mechanical engineering found that 99 % of such women were 
successful in their professions. 
 
Which of the following can be logically inferred from the above paragraph? 
(A)   Many students have misconceptions regarding various engineering disciplines. 
 
(B)  Men with advanced degrees in mechanical engineering believe women are well suited to be 
mechanical engineers. 
 
(C)  Mechanical engineering is a profession well suited for women with masters or higher degrees 
in mechanical engineering. 
 
(D)   The number of women pursuing higher degrees in mechanical engineering is small. 
 
 
 
 2/3
GATE 2016  General Aptitude – GA Set-8 
 3/3
Q.8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line 
with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a 
developing country. 
 
Which of the following can be logically inferred from the above sentence? 
 
Based on the proposal, 
(i) In the initial years, SIT students will get degrees from IIT. 
(ii) SITs will have a distinct national objective. 
(iii) SIT like institutions can only be established in consultation with IIT. 
(iv) SITs will serve technological needs of a developing country. 
 
(A)   (iii) and (iv) only. (B)   (i) and (iv) only. 
 
(C)   (ii) and (iv) only. (D)   (ii) and (iii) only. 
 
 
Q.9 Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free 
throws out of 100 attempts on average. What is the probability that he will successfully 
make exactly 6 free throws in 10 attempts? 
 
(A)   0.2508
 
(B)   0.2816 (C)   0.2934 (D)   0.6000 
 
 
Q.10 The numeral in the units position of  211
870
 + 146
127
 × 3
424
 
is _____. 
 
 
END OF THE QUESTION PAPER 
 
GATE 2016 Aerospace Engineering 
AE 1/9
Q. 1 – Q. 25 carry one mark each. 
Q.1 With increase in airfoil thickness, the critical Mach number for an airfoil is likely to 
(A) decrease. (B) increase. (C)  remain unchanged. (D)  be undefined. 
 
Q.2 Due to a body in potential flow, the velocity at a point A in the flow field is 20 m/s while the free 
stream velocity is only 10 m/s. The value of coefficient of pressure (C
p
) at the point A is 
_________. 
 
Q.3 Which of the following airfoil will have location of the maximum camber at half chord length from 
the leading edge? 
(A) NACA 5212 (B) NACA 1225 (C)  NACA 2215 (D)  NACA 2512 
 
Q.4 For a laminar incompressible flow past a flat plate at zero angle of attack, the variation of skin 
friction drag coefficient ? ?
f
C with Reynolds number based on the chord length ? ?
c
Re can be 
expressed as 
(A) 
c f
Re C ? 
(B) 
c f
Re C ?
 
 
(C) 
c
f
Re
1
C ? 
(D) 
c
f
Re
1
C ? 
 
Q.5 Which of the following statement is NOT TRUE across an oblique shock wave? 
(A) Static temperature increases, total temperature remains constant. 
(B) Static pressure increases, static temperature increases. 
(C) Static temperature increases, total pressure decreases. 
(D) Static pressure increases, total temperature decreases. 
 
Q.6 For a completely subsonic isentropic flow through a convergent nozzle, which of the following 
statement is TRUE? 
(A) Pressure at the nozzle exit > back pressure. 
(B) Pressure at the nozzle exit < back pressure. 
(C) Pressure at the nozzle exit = back pressure. 
(D) Pressure at the nozzle exit = total pressure. 
 
Q.7 Which of the following aircraft engines has the highest propulsive efficiency at a cruising Mach 
number of less than 0.5? 
(A) Turbofan engine (B) Turbojet engine 
(C) Turboprop engine (D) Ramjet engine 
 
Q.8 Air, with a Prandtl number of 0.7, flows over a flat plate at a high Reynolds number. Which of the 
following statement is TRUE? 
(A) Thermal boundary layer is thicker than the velocity boundary layer. 
(B) Thermal boundary layer is thinner than the velocity boundary layer. 
(C) Thermal boundary layer is as thick as the velocity boundary layer. 
(D) There is no relationship between the thicknesses of thermal and velocity boundary layers. 
 
 
Page 5


GATE 2016  General Aptitude – GA Set-8 
Q. 1 – Q. 5 carry one mark each. 
Q.1 The chairman requested the aggrieved shareholders to _________________ him. 
 
(A)   bare with (B)   bore with (C)   bear with (D)   bare 
 
 
Q.2 Identify the correct spelling out of the given options: 
(A) Managable (B) Manageable (C)  Mangaeble (D)  Managible 
 
 
Q.3 Pick the odd one out in the following: 
 
13, 23, 33, 43, 53 
(A)   23 (B)   33 (C)   43 (D)   53 
 
 
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. 
 
Which of the following can be logically inferred from the above statements? 
(A)   R2D2 is a robot which can only repair aeroplanes. 
 
(B)   R2D2 is the only robot which can repair aeroplanes. 
 
(C)   R2D2 is a robot which can repair only aeroplanes. 
 
(D)   Only R2D2 is a robot. 
 
 
 
Q.5 If   |9y -6| =3, then y
2
 -4y/3  is               . 
(A) 0 (B) +1/3 (C)  -1/3 (D)  undefined 
 
 
  
 1/3
GATE 2016  General Aptitude – GA Set-8 
Q. 6 – Q. 10 carry two marks each.  
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the 
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a 
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed 
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a 
small plant. The difference between total production of large plants and small plants, in tonnes is 
____. 
 
 
 
 
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed 
that mechanical engineering is a profession unsuitable for women. A research study on women with 
masters or higher degrees in mechanical engineering found that 99 % of such women were 
successful in their professions. 
 
Which of the following can be logically inferred from the above paragraph? 
(A)   Many students have misconceptions regarding various engineering disciplines. 
 
(B)  Men with advanced degrees in mechanical engineering believe women are well suited to be 
mechanical engineers. 
 
(C)  Mechanical engineering is a profession well suited for women with masters or higher degrees 
in mechanical engineering. 
 
(D)   The number of women pursuing higher degrees in mechanical engineering is small. 
 
 
 
 2/3
GATE 2016  General Aptitude – GA Set-8 
 3/3
Q.8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line 
with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a 
developing country. 
 
Which of the following can be logically inferred from the above sentence? 
 
Based on the proposal, 
(i) In the initial years, SIT students will get degrees from IIT. 
(ii) SITs will have a distinct national objective. 
(iii) SIT like institutions can only be established in consultation with IIT. 
(iv) SITs will serve technological needs of a developing country. 
 
(A)   (iii) and (iv) only. (B)   (i) and (iv) only. 
 
(C)   (ii) and (iv) only. (D)   (ii) and (iii) only. 
 
 
Q.9 Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free 
throws out of 100 attempts on average. What is the probability that he will successfully 
make exactly 6 free throws in 10 attempts? 
 
(A)   0.2508
 
(B)   0.2816 (C)   0.2934 (D)   0.6000 
 
 
Q.10 The numeral in the units position of  211
870
 + 146
127
 × 3
424
 
is _____. 
 
 
END OF THE QUESTION PAPER 
 
GATE 2016 Aerospace Engineering 
AE 1/9
Q. 1 – Q. 25 carry one mark each. 
Q.1 With increase in airfoil thickness, the critical Mach number for an airfoil is likely to 
(A) decrease. (B) increase. (C)  remain unchanged. (D)  be undefined. 
 
Q.2 Due to a body in potential flow, the velocity at a point A in the flow field is 20 m/s while the free 
stream velocity is only 10 m/s. The value of coefficient of pressure (C
p
) at the point A is 
_________. 
 
Q.3 Which of the following airfoil will have location of the maximum camber at half chord length from 
the leading edge? 
(A) NACA 5212 (B) NACA 1225 (C)  NACA 2215 (D)  NACA 2512 
 
Q.4 For a laminar incompressible flow past a flat plate at zero angle of attack, the variation of skin 
friction drag coefficient ? ?
f
C with Reynolds number based on the chord length ? ?
c
Re can be 
expressed as 
(A) 
c f
Re C ? 
(B) 
c f
Re C ?
 
 
(C) 
c
f
Re
1
C ? 
(D) 
c
f
Re
1
C ? 
 
Q.5 Which of the following statement is NOT TRUE across an oblique shock wave? 
(A) Static temperature increases, total temperature remains constant. 
(B) Static pressure increases, static temperature increases. 
(C) Static temperature increases, total pressure decreases. 
(D) Static pressure increases, total temperature decreases. 
 
Q.6 For a completely subsonic isentropic flow through a convergent nozzle, which of the following 
statement is TRUE? 
(A) Pressure at the nozzle exit > back pressure. 
(B) Pressure at the nozzle exit < back pressure. 
(C) Pressure at the nozzle exit = back pressure. 
(D) Pressure at the nozzle exit = total pressure. 
 
Q.7 Which of the following aircraft engines has the highest propulsive efficiency at a cruising Mach 
number of less than 0.5? 
(A) Turbofan engine (B) Turbojet engine 
(C) Turboprop engine (D) Ramjet engine 
 
Q.8 Air, with a Prandtl number of 0.7, flows over a flat plate at a high Reynolds number. Which of the 
following statement is TRUE? 
(A) Thermal boundary layer is thicker than the velocity boundary layer. 
(B) Thermal boundary layer is thinner than the velocity boundary layer. 
(C) Thermal boundary layer is as thick as the velocity boundary layer. 
(D) There is no relationship between the thicknesses of thermal and velocity boundary layers. 
 
 
GATE 2016 Aerospace Engineering 
Q.9 
Consider an eigenvalue problem given by Ax=
i
? x. If 
i
? represent the eigenvalues of the non-
singular square matrix A, then what will be the eigenvalues of matrix A
2
? 
(A) 
4
i
? (B) 
2
i
? (C)  
2 / 1
i
? (D)  
4 / 1
i
? 
 
Q.10 If A and B are both non-singular n ?n matrices, then which of the following statement is NOT 
TRUE. Note: det represents the determinant of a matrix. 
(A) det(AB) = det(A)det(B) 
(B) det(A+B) = det(A) + det(B) 
(C) det(AA
-1
) = 1 
(D) det(A
T
) = det(A) 
 
Q.11 The total number of material constants that are necessary and sufficient to describe the three 
dimensional Hooke’s law for an isotropic material is ____. 
 
Q.12 Determine the correctness or otherwise of the following statements, [a] and [r]: 
 
[a]: In a plane stress problem, the shear strains along the thickness direction of a body are zero but 
the normal strain along the thickness is not zero. 
 
[r]: In a plane stress problem, Poisson effect induces the normal strain along the thickness direction 
of the body. 
(A) Both [a] and [r] are true and [r] is the correct reason for [a]. 
(B) Both [a] and [r] are true but [r] is not the correct reason for [a]. 
(C) Both [a] and [r] are false. 
(D) [a] is true but [r] is false. 
 
Q.13 Consider four thin-walled beams of different open cross-sections, as shown in the cases (i-iv). A 
shear force of magnitude ‘F’ acts vertically downward at the location ‘P’ in all the beams. In which 
of the following case, does the shear force induce bending and twisting? 
Case (i)  
 
Case (ii) 
 
Case (iii)  
 
Case (iv)  
 
(A) (i) (B) (ii) 
(C) (iii) (D) (iv)