Engineering Sciences (XE) 2016 GATE Paper with solution GATE Notes | EduRev

GATE Past Year Papers for Practice (All Branches)

GATE : Engineering Sciences (XE) 2016 GATE Paper with solution GATE Notes | EduRev

 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. 
 
 
 
 2/3
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                                                                                                                          ENGINEERING MATHEMATICS (COMPULSORY) – XE-A 
XE-A 1/2 
A : ENGINEERING MATHEMATICS (COMPULSORY) 
 
Q. 1 – Q. 7 carry one mark each. 
Q.1  A company records heights of all employees. Let X and Y denote the errors in the average height of 
male and female employees respectively. Assume that  ???? ~ ???? (0, 4) and ???? ~ ???? (0, 9) and they are 
independent. Then the distribution of  ???? = ( ???? + ???? )/2 is 
 
(A)  ???? (0, 6.5) (B)  ???? (0, 3.25) (C)  ???? (0, 2) (D)  ???? (0, 1) 
 
Q.2  The volume of the solid obtained by revolving the curve  ???? 2
= ???? , 0 = ???? = 1 around ???? -axis is 
 
(A) ???? (B) 2 
(C)  
???? 2
 (D)  
???? 5
 
 
 
Q.3  
Let  ???? ( ???? ) be the solution of the initial value problem  
???????? ???????? + 2 ???????? = ???? ;  ???? (0) = 0. Find the value of 
 lim
???? ? 8
???? ( ???? ). 
 
 
 
Q.4  Which of the following is a quasi-linear partial differential equation? 
(A) 
???? 2
???? ???? ???? 2
 
+ ???? 2
= 0 
(B) ?
???????? ???????? ?
2
+
???????? ???????? = 0 
(C) ?
???????? ???????? ?
2
- ?
???????? ???????? ?
2
= 0 
(D)  ?
???????? ???????? ?
4
- ?
???????? ???????? ?
3
= 0 
 
Q.5  Let ???? ( ???? ) and ???? ( ???? ) be the polynomials of degree 5, generated by Lagrange and Newton 
interpolation methods respectively, both passing through given six distinct points on the ???????? -plane. 
Which of the following is correct? 
 
(A) ???? ( ???? ) = ???? ( ???? )    
(B) ???? ( ???? ) - ???? ( ???? ) is a polynomial of degree 1 
(C) ???? ( ???? ) - ???? ( ???? ) is a polynomial of degree 2 
(D) ???? ( ???? ) - ???? ( ???? ) is a polynomial of degree 3 
 
 
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                                                                                                                          ENGINEERING MATHEMATICS (COMPULSORY) – XE-A 
XE-A 1/2 
A : ENGINEERING MATHEMATICS (COMPULSORY) 
 
Q. 1 – Q. 7 carry one mark each. 
Q.1  A company records heights of all employees. Let X and Y denote the errors in the average height of 
male and female employees respectively. Assume that  ???? ~ ???? (0, 4) and ???? ~ ???? (0, 9) and they are 
independent. Then the distribution of  ???? = ( ???? + ???? )/2 is 
 
(A)  ???? (0, 6.5) (B)  ???? (0, 3.25) (C)  ???? (0, 2) (D)  ???? (0, 1) 
 
Q.2  The volume of the solid obtained by revolving the curve  ???? 2
= ???? , 0 = ???? = 1 around ???? -axis is 
 
(A) ???? (B) 2 
(C)  
???? 2
 (D)  
???? 5
 
 
 
Q.3  
Let  ???? ( ???? ) be the solution of the initial value problem  
???????? ???????? + 2 ???????? = ???? ;  ???? (0) = 0. Find the value of 
 lim
???? ? 8
???? ( ???? ). 
 
 
 
Q.4  Which of the following is a quasi-linear partial differential equation? 
(A) 
???? 2
???? ???? ???? 2
 
+ ???? 2
= 0 
(B) ?
???????? ???????? ?
2
+
???????? ???????? = 0 
(C) ?
???????? ???????? ?
2
- ?
???????? ???????? ?
2
= 0 
(D)  ?
???????? ???????? ?
4
- ?
???????? ???????? ?
3
= 0 
 
Q.5  Let ???? ( ???? ) and ???? ( ???? ) be the polynomials of degree 5, generated by Lagrange and Newton 
interpolation methods respectively, both passing through given six distinct points on the ???????? -plane. 
Which of the following is correct? 
 
(A) ???? ( ???? ) = ???? ( ???? )    
(B) ???? ( ???? ) - ???? ( ???? ) is a polynomial of degree 1 
(C) ???? ( ???? ) - ???? ( ???? ) is a polynomial of degree 2 
(D) ???? ( ???? ) - ???? ( ???? ) is a polynomial of degree 3 
 
 
GATE 2016                                                                                                                          ENGINEERING MATHEMATICS (COMPULSORY) – XE-A 
XE-A 2/2 
Q.6  The Laurent series of  ???? ( ???? ) = 1/( ???? 3
- ???? 4
) with center at ???? = 0 in the region | ???? | > 1 is 
 
(A) ? ???? ???? -3
 
8
???? =0
 
(B) - ?
1
???? ???? +4
8
???? =0
  
(C)  ? ???? ???? 
8
???? =0
 
(D) ?
1
???? ???? 8
???? =0
  
 
Q.7  
The value of the surface integral  F dS
G
·
??
n
??
 over the sphere G given by ???? 2
+ ???? 2
+ ???? 2
= 1, 
where 
ˆ ˆ
 =4 F x i - z k
?
, and n denotes the outward unit normal, is 
(A)   ???? 
 
(B) 2 ???? 
 
(C) 3 ???? 
   
(D) 4 ???? 
   
 
Q. 8 – Q. 11 carry two marks each. 
 
Q.8  A diagnostic test for a certain disease is 90% accurate. That is, the probability of a person having 
(respectively, not having) the disease tested positive (respectively, negative) is 0.9. Fifty percent of 
the population has the disease. What is the probability that a randomly chosen person has the 
disease given that the person tested negative? 
 
Q.9  
Let  ???? = ?
1 1
0 1
?. Which of the following is correct? 
(A) Rank of ???? is 1 and ???? is not diagonalizable 
(B) Rank of ???? is 2 and ???? is diagonalizable 
(C) 1 is the only eigenvalue and ???? is not diagonalizable 
(D) 1 is the only eigenvalue and ???? is diagonalizable 
 
Q.10  Let ???? ( ???? ) = 2 ???? 3
- 3 ???? 2
+ 69, -5 = ???? = 5. Find the point at which ???? attains the global 
maximum.  
 
Q.11  
Calculate 
12
CC
F dr F dr ·- ·
??
??
??
, where ???? 1
: ???? ?( ???? ) = ( ???? , ???? 2
) and ???? 2
: ???? ?( ???? ) = ? ???? , v ???? ?, ???? varying from 0 to 
1 and 
ˆ
F = xy j 
?
. 
 
  
 
 
 
 
END OF THE QUESTION PAPER 
 
Read More
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Related Searches

Engineering Sciences (XE) 2016 GATE Paper with solution GATE Notes | EduRev

,

Engineering Sciences (XE) 2016 GATE Paper with solution GATE Notes | EduRev

,

video lectures

,

Semester Notes

,

practice quizzes

,

Free

,

shortcuts and tricks

,

Sample Paper

,

Previous Year Questions with Solutions

,

Viva Questions

,

mock tests for examination

,

pdf

,

MCQs

,

Summary

,

Engineering Sciences (XE) 2016 GATE Paper with solution GATE Notes | EduRev

,

Exam

,

Objective type Questions

,

Important questions

,

ppt

,

Extra Questions

,

past year papers

,

study material

;