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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                                                                                                                                                                  Production and Industrial Engineering 
PI 1/10 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  Vector triple product () ?? a b c of three vectors a, b and c is given by 
(A) ( ) ( ) ?? ? a c b a b c (B) ( ) ( ) ?? ? b c a a c b 
(C) ( ) ( ) ?? ? a b c a c b (D) ( ) ( ) ?? ? b c a a b c 
  
 
Q.2  
A real-valued function y of real variable x is such that 5. yx ? At 0, x ? the function is 
(A) discontinuous but differentiable (B) both continuous and differentiable 
(C) discontinuous and not differentiable (D) continuous but not differentiable 
 
 
Q.3  Considering the coordinate system shown in the figure, a force of magnitude 10 kN has  
x-component of ?6 kN. Possible y-component (s) of the force is/are 
x
y
o
 
(A) +8 kN only (B) +5 kN only 
(C) +8 kN and ?8 kN (D) +5 kN and ?5 kN 
 
 
Q.4  When austenite decomposes upon cooling into two phases— ferrite and cementite, the 
reaction is called 
(A) Eutectic (B) Eutectoid (C)  Peritectic (D)  Peritectoid 
 
 
Q.5  Match the geometric tolerances with their correct symbols: 
 
P. Flatness 1. 
 
Q. Perpendicularity 2. 
 
R. Concentricity 3. 
 
S. Roundness (Circularity) 4. 
  
(A) P – 1, Q – 3, R – 4, S – 2  (B) P – 3, Q – 1, R – 4, S – 2  
(C) P – 3, Q – 1, R – 2, S – 4  (D) P – 3, Q – 2, R – 1, S – 4  
 
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                                                                                                                                                                  Production and Industrial Engineering 
PI 1/10 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  Vector triple product () ?? a b c of three vectors a, b and c is given by 
(A) ( ) ( ) ?? ? a c b a b c (B) ( ) ( ) ?? ? b c a a c b 
(C) ( ) ( ) ?? ? a b c a c b (D) ( ) ( ) ?? ? b c a a b c 
  
 
Q.2  
A real-valued function y of real variable x is such that 5. yx ? At 0, x ? the function is 
(A) discontinuous but differentiable (B) both continuous and differentiable 
(C) discontinuous and not differentiable (D) continuous but not differentiable 
 
 
Q.3  Considering the coordinate system shown in the figure, a force of magnitude 10 kN has  
x-component of ?6 kN. Possible y-component (s) of the force is/are 
x
y
o
 
(A) +8 kN only (B) +5 kN only 
(C) +8 kN and ?8 kN (D) +5 kN and ?5 kN 
 
 
Q.4  When austenite decomposes upon cooling into two phases— ferrite and cementite, the 
reaction is called 
(A) Eutectic (B) Eutectoid (C)  Peritectic (D)  Peritectoid 
 
 
Q.5  Match the geometric tolerances with their correct symbols: 
 
P. Flatness 1. 
 
Q. Perpendicularity 2. 
 
R. Concentricity 3. 
 
S. Roundness (Circularity) 4. 
  
(A) P – 1, Q – 3, R – 4, S – 2  (B) P – 3, Q – 1, R – 4, S – 2  
(C) P – 3, Q – 1, R – 2, S – 4  (D) P – 3, Q – 2, R – 1, S – 4  
 
GATE 2018                                                                                                                                                                  Production and Industrial Engineering 
PI 2/10 
 
 
Q.6  Which one of the following instruments makes use of the principle of interference of light? 
(A) Optical flat (B) Auto-collimator  
(C) Optical projector (D) Coordinate measuring machine 
 
 
Q.7  
In ASME process chart, the symbol ? represents 
(A) operation  (B) inspection (C)  delay (D)  transport 
 
 
Q.8  Which one of the following is the most appropriate control chart for measuring the variability 
of individual readings within a sample? 
(A) -chart X 
(B) R-chart (C)  p-chart (D)  c-chart 
 
 
Q.9  The machines and auxiliary facilities are located according to processing sequence of the 
product (produced in very large quantities) in 
(A) Process Layout (B) Fixed Position Layout 
(C) Product Layout (D) Cellular Layout   
 
 
Q.10  Which one of the following defects is NOT associated with the casting process? 
(A) Hot tear    (B) Porosity (C) Blister (D) Central burst 
 
 
Q.11  In an oxy-acetylene gas welding process, oxygen and acetylene are mixed in a ratio of 1.5:1 
(by volume). The flame is  
(A) neutral (B) carburizing (C) reducing (D) oxidizing 
 
 
Q.12  Each of three firms P, Q and R manufactures 100 lakhs components. The number of defective 
components produced by P, Q and R are 30, 42 and 47, respectively. The firm(s) in 
conformance with Six Sigma standard is/are 
(A) only P (B) P and Q (C) P, Q and R (D) Q and R   
 
 
Q.13  To make holes of 0.5 mm diameter and 30 mm depth in a mild steel component, the most 
suitable process is  
(A) chemical machining (B) electrochemical machining 
(C) abrasive jet machining (D) plasma arc machining 
 
 
Q.14  Which one of the following processes is NOT used for producing powders?  
(A) Atomization (B) Ball milling  (C) Sintering (D) Electrolysis 
 
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FAQs on Production and Industrial Training - PI 2018 GATE Paper with solution

1. What is the purpose of Production and Industrial Training (PI) in the GATE exam?
Ans. The purpose of Production and Industrial Training (PI) in the GATE exam is to assess the candidates' understanding and knowledge of various production and industrial engineering concepts. It is designed to test their ability to apply these concepts to solve real-world problems in the field of production and industrial engineering.
2. How can I prepare for the Production and Industrial Training (PI) section of the GATE exam?
Ans. To prepare for the Production and Industrial Training (PI) section of the GATE exam, you can start by thoroughly studying the syllabus and understanding the key concepts and topics. It is also important to practice solving previous year question papers and taking mock tests to improve your time management and problem-solving skills. Additionally, referring to standard textbooks and joining coaching classes or online tutorials can provide further guidance and help in your preparation.
3. What are the important topics that I should focus on for the Production and Industrial Training (PI) section of the GATE exam?
Ans. Some of the important topics that you should focus on for the Production and Industrial Training (PI) section of the GATE exam include manufacturing processes, material science, industrial engineering, quality management, operations research, supply chain management, and productivity improvement techniques. It is recommended to prioritize these topics based on their weightage in previous year question papers and the GATE syllabus.
4. Are there any specific books or study materials that can help me in preparing for the Production and Industrial Training (PI) section of the GATE exam?
Ans. Yes, there are several books and study materials available that can help you in preparing for the Production and Industrial Training (PI) section of the GATE exam. Some popular books for this section include "Production Engineering Sciences" by P.C. Sharma, "Industrial Engineering and Management" by O.P. Khanna, and "Operations Research" by S.D. Sharma. Additionally, there are various online platforms and websites that offer study materials, video lectures, and practice questions specifically for the GATE exam.
5. Can you provide some tips for time management during the Production and Industrial Training (PI) section of the GATE exam?
Ans. Time management is crucial during the Production and Industrial Training (PI) section of the GATE exam. To effectively manage your time, it is important to allocate specific time slots for each question based on its difficulty level. Start with easy questions to quickly build confidence and save time for the more challenging ones. Additionally, avoid spending too much time on a single question and move on if you are unable to solve it. Regular practice, solving previous year question papers, and taking mock tests can help you improve your speed and accuracy in solving the questions within the given time limit.
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