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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 
 
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FAQs on Engineering Sciences (XE) 2016 GATE Paper with solution

1. What is the syllabus for the Engineering Sciences (XE) 2016 GATE Paper?
Ans. The syllabus for the Engineering Sciences (XE) 2016 GATE Paper includes various topics such as Engineering Mathematics, Fluid Mechanics, Materials Science, Solid Mechanics, Thermodynamics, Polymer Science and Engineering, Food Technology, and Atmospheric and Oceanic Sciences. The detailed syllabus can be found on the official GATE website.
2. How can I download the Engineering Sciences (XE) 2016 GATE Paper with solutions?
Ans. To download the Engineering Sciences (XE) 2016 GATE Paper with solutions, you can visit the official GATE website and look for the question paper and answer key section. There, you will find the question paper and the corresponding solutions in PDF format for download.
3. Are there any recommended books or study materials for the Engineering Sciences (XE) 2016 GATE Paper?
Ans. Yes, there are several recommended books and study materials available for the preparation of the Engineering Sciences (XE) 2016 GATE Paper. Some popular choices include "GATE Engineering Sciences (XE) Guide" by G.K. Publications, "Engineering Sciences for GATE" by Made Easy Publications, and "GATE Engineering Sciences (XE) Solved Papers" by Arihant Publications. It is advisable to refer to these books along with previous years' question papers and mock tests for comprehensive preparation.
4. Can I apply for multiple papers in the GATE exam, including Engineering Sciences (XE) 2016?
Ans. Yes, candidates have the option to apply for multiple papers in the GATE exam, including Engineering Sciences (XE) 2016. However, it is important to note that each paper has its own separate application form, and candidates need to pay the application fee for each paper they choose to apply for. It is advisable to carefully select the papers based on your interests and eligibility criteria.
5. What is the weightage of the Engineering Sciences (XE) 2016 GATE Paper in the overall GATE score calculation?
Ans. The weightage of the Engineering Sciences (XE) 2016 GATE Paper in the overall GATE score calculation is determined by the normalization process. The GATE score is calculated based on the normalized marks obtained by the candidates in their respective papers. The weightage of each paper may vary depending on the difficulty level of the paper and the performance of the candidates. The detailed normalization process can be found on the official GATE website.
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