Mechanical Engineering Exam  >  Mechanical Engineering Notes  >  GATE Mechanical (ME) 2024 Mock Test Series  >  Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 2

Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 2 | GATE Mechanical (ME) 2024 Mock Test Series PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 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                                                                                                                                                                         Mechanical Engineering (Set 2) 
ME 1/15 
Q. 1 – Q. 25 carry one mark each. 
Q.1  The Fourier cosine series for an even function () fx is given by 
0
    1
( ) cos( )
n
n
f x a a nx
?
?
??
?
. 
 The value of the coefficient 
 2
a for the function 
2
( ) cos ( ) f x x ? in [0, ?] is 
(A) 0.5 ? (B) 0.0 (C)  0.5 (D)  1.0 
 
 
Q.2  
The divergence of the vector field ? ? j y i y e u
x
ˆ
sin
ˆ
cos ? ?
?
 is 
(A) 0 
(B) y e y e
x x
sin cos ? 
(C) y e
x
cos 2 (D) y e
x
sin 2 
 
 
Q.3  Consider a function u which depends on position x and time t. The partial differential 
equation 
2
2
uu
tx
??
?
??
 
is known as the    
(A) Wave equation 
(B) Heat equation 
(C) Laplace’s equation 
(D) Elasticity equation 
 
 
Q.4  
If y is the solution of the differential equation 0
3 3
? ? x
dx
dy
y , ? ? 1 0 ? y , the value of ? ? 1 ? y 
is 
(A) -2 (B) -1 (C) 0 (D) 1 
 
 
 
 
Q.5  The minimum axial compressive load, P, required to initiate buckling for a pinned-pinned 
slender column with bending stiffness EI and length L is 
(A) 
2
2
4
EI
P
L
?
? (B) 
2
2
EI
P
L
?
? (C)  
2
2
3
4
EI
P
L
?
? (D)  
2
2
4 EI
P
L
?
? 
 
 
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                                                                                                                                                                         Mechanical Engineering (Set 2) 
ME 1/15 
Q. 1 – Q. 25 carry one mark each. 
Q.1  The Fourier cosine series for an even function () fx is given by 
0
    1
( ) cos( )
n
n
f x a a nx
?
?
??
?
. 
 The value of the coefficient 
 2
a for the function 
2
( ) cos ( ) f x x ? in [0, ?] is 
(A) 0.5 ? (B) 0.0 (C)  0.5 (D)  1.0 
 
 
Q.2  
The divergence of the vector field ? ? j y i y e u
x
ˆ
sin
ˆ
cos ? ?
?
 is 
(A) 0 
(B) y e y e
x x
sin cos ? 
(C) y e
x
cos 2 (D) y e
x
sin 2 
 
 
Q.3  Consider a function u which depends on position x and time t. The partial differential 
equation 
2
2
uu
tx
??
?
??
 
is known as the    
(A) Wave equation 
(B) Heat equation 
(C) Laplace’s equation 
(D) Elasticity equation 
 
 
Q.4  
If y is the solution of the differential equation 0
3 3
? ? x
dx
dy
y , ? ? 1 0 ? y , the value of ? ? 1 ? y 
is 
(A) -2 (B) -1 (C) 0 (D) 1 
 
 
 
 
Q.5  The minimum axial compressive load, P, required to initiate buckling for a pinned-pinned 
slender column with bending stiffness EI and length L is 
(A) 
2
2
4
EI
P
L
?
? (B) 
2
2
EI
P
L
?
? (C)  
2
2
3
4
EI
P
L
?
? (D)  
2
2
4 EI
P
L
?
? 
 
 
GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 2) 
ME 2/15 
Q.6  A frictionless gear train is shown in the figure. The leftmost 12-teeth gear is given a torque 
of 100 N-m. The output torque from the 60-teeth gear on the right in N-m is 
 
 
(A) 5 (B) 20 (C)  500 (D)  2000 
 
 
 
 
 
 
Q.8  Pre-tensioning of a bolted joint is used to 
(A) strain harden the bolt head (B) decrease stiffness of the bolted joint 
(C) increase stiffness of the bolted joint (D) prevent yielding of the thread root 
 
 
Q.9  The peak wavelength of radiation emitted by a black body at a temperature of 2000 K is 
1.45 µm. If the peak wavelength of emitted radiation changes to 2.90 µm, then the 
temperature (in K) of the black body is 
(A) 500 (B) 1000 (C)  4000 (D)  8000 
 
 
 
 
 
 
 
 
Q.7  In a single degree of freedom underdamped spring-mass-damper system as shown in the 
figure, an additional damper is added in parallel such that the system still remains 
underdamped. Which one of the following statements is ALWAYS true? 
    
 
 
 
 
 
 
 
         
(A) Transmissibility will increase. 
(B) Transmissibility will decrease. 
(C) Time period of free oscillations will increase. 
(D) Time period of free oscillations will decrease.  
12 Teeth  
T =100 N-m 
48 Teeth  
12 Teeth  
60 Teeth  
 
C 
K 
M 
Read More
27 docs|228 tests

FAQs on Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 2 - GATE Mechanical (ME) 2024 Mock Test Series

1. What is the GATE exam for mechanical engineering?
Ans. The GATE exam, which stands for Graduate Aptitude Test in Engineering, is a national-level entrance exam conducted in India. It assesses the comprehensive understanding of various undergraduate subjects in engineering and science. The exam is used for admission to postgraduate programs, including M.Tech, M.E., and Ph.D., as well as for recruitment in various government and private organizations.
2. How can I prepare for the GATE mechanical engineering exam?
Ans. To prepare for the GATE mechanical engineering exam, it is important to have a thorough understanding of the syllabus and exam pattern. Start by creating a study plan and allocating sufficient time for each subject. Practice previous years' question papers and take mock tests to evaluate your preparation. Use standard textbooks and reference materials for studying, and make use of online resources such as video lectures and tutorials. Regular revision and solving numerical problems are also essential for success in the exam.
3. What are the important topics to focus on for the GATE mechanical engineering exam?
Ans. While preparing for the GATE mechanical engineering exam, it is crucial to focus on certain important topics. Some of these include engineering mathematics, strength of materials, thermodynamics, fluid mechanics, heat transfer, manufacturing processes, machine design, and industrial engineering. These topics have a significant weightage in the exam, and a strong understanding of them can help you score well.
4. What is the eligibility criteria for the GATE mechanical engineering exam?
Ans. The eligibility criteria for the GATE mechanical engineering exam include a bachelor's degree in engineering or technology from a recognized university or institute. Candidates in the final year of their qualifying degree can also apply. There is no age limit for appearing in the exam. It is important to check the official GATE website for the specific eligibility requirements and any additional criteria set by the organizing institute.
5. How is the GATE mechanical engineering exam scored and what is the qualifying cut-off?
Ans. The GATE mechanical engineering exam is scored out of 100 marks. The exam consists of multiple-choice questions (MCQs) and numerical answer type (NAT) questions. The MCQs carry 1 or 2 marks each, while the NAT questions carry 1 or 2 marks as well. There may be negative marking for incorrect answers in MCQs. The qualifying cut-off for the exam varies each year and is determined based on factors such as the difficulty level of the paper and the number of candidates appearing. It is important to score above the cut-off to be eligible for admissions or recruitment through GATE.
27 docs|228 tests
Download as PDF
Explore Courses for Mechanical Engineering exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!
Related Searches

Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 2 | GATE Mechanical (ME) 2024 Mock Test Series

,

Important questions

,

Objective type Questions

,

Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 2 | GATE Mechanical (ME) 2024 Mock Test Series

,

practice quizzes

,

mock tests for examination

,

Sample Paper

,

MCQs

,

Previous Year Questions with Solutions

,

Extra Questions

,

study material

,

Viva Questions

,

shortcuts and tricks

,

Semester Notes

,

Exam

,

video lectures

,

past year papers

,

ppt

,

pdf

,

Free

,

Summary

,

Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 2 | GATE Mechanical (ME) 2024 Mock Test Series

;