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# Production and Industrial Training - PI 2018 GATE Paper with solution GATE Notes | EduRev

## GATE : Production and Industrial Training - PI 2018 GATE Paper with solution GATE Notes | EduRev

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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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## GATE Past Year Papers for Practice (All Branches)

380 docs|127 tests

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