Download Graduate Aptitude Test in Engineering (GATE) 2015 PI Production and Industrial Engineering Question Paper
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 4/9
Q.25 If standard production is 20 units, a worker?s actual output is 18 units, piece rate is Rs. 500 per unit,
and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per
Taylor?s differential price rate wage incentive plan, is ______________.
Q. 26 ? Q. 55 carry two marks each.
Q.26 The solution to represents a
(A) family of circles (B) family of ellipses
(C) family of parabolas (D) family of hyperbolas
Q.27 The solution to is
(A)
2 3
12
y c x c x
?
= + (B)
2
12
y c c x
?
= + (C)
2
1
c
y c x
x
= + (D)
4
12
y c x c x = +
Q.28 Match the linear transformation matrices listed in the first column to their interpretations in the
second column.
P.
10
00
??
??
??
1. Stretch in the y-axis
Q.
00
01
??
??
??
2. Uniform stretch in x and y-axes
R.
10
03
??
??
??
3. Projection in x-axis
S.
40
04
??
??
??
4. Projection in y-axis
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-3, R-4, S-1
(C) P-3, Q-4, R-1, S-2 (D) P-4, Q-1, R-2, S-3.
Q.29
The value of
2
( , ) (0,0)
lim
x y
x xy
xy
?
?
?
is
(A) 0 (B)
1
2
(C) 1 (D) ?
Q.30 The curve y = x
4
is
(A) concave up for all values of x
(B) concave down for all values of x
(C) concave up only for positive values of x
(D) concave up only for negative values of x
Q.31 A metallic bar of uniform cross-section with specific weight of 100 kN/m
3
is hung vertically down.
The length and Young?s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
of the bar, in mm, due to its own weight is ____________.
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 4/9
Q.25 If standard production is 20 units, a worker?s actual output is 18 units, piece rate is Rs. 500 per unit,
and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per
Taylor?s differential price rate wage incentive plan, is ______________.
Q. 26 ? Q. 55 carry two marks each.
Q.26 The solution to represents a
(A) family of circles (B) family of ellipses
(C) family of parabolas (D) family of hyperbolas
Q.27 The solution to is
(A)
2 3
12
y c x c x
?
= + (B)
2
12
y c c x
?
= + (C)
2
1
c
y c x
x
= + (D)
4
12
y c x c x = +
Q.28 Match the linear transformation matrices listed in the first column to their interpretations in the
second column.
P.
10
00
??
??
??
1. Stretch in the y-axis
Q.
00
01
??
??
??
2. Uniform stretch in x and y-axes
R.
10
03
??
??
??
3. Projection in x-axis
S.
40
04
??
??
??
4. Projection in y-axis
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-3, R-4, S-1
(C) P-3, Q-4, R-1, S-2 (D) P-4, Q-1, R-2, S-3.
Q.29
The value of
2
( , ) (0,0)
lim
x y
x xy
xy
?
?
?
is
(A) 0 (B)
1
2
(C) 1 (D) ?
Q.30 The curve y = x
4
is
(A) concave up for all values of x
(B) concave down for all values of x
(C) concave up only for positive values of x
(D) concave up only for negative values of x
Q.31 A metallic bar of uniform cross-section with specific weight of 100 kN/m
3
is hung vertically down.
The length and Young?s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
of the bar, in mm, due to its own weight is ____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 5/9
Q.32 A beam is loaded as shown in the figure.
The bending moment, in Nm, at point R is __________.
Q.33 In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of 150
rpm. The value of the angle ? shown in the figure is 20
0
. What is the ratio of forward to return stroke
time? Can this mechanism be used in an application involving quick return?
(A) 3.33, No (B) 0.73, Yes (C) 1.25, Yes (D) 0.73, No
Q.34 In a 1 m thick wall, the temperature distribution at a given instant is T(x) = c
0
+ c
1
x + c
2
x
2
where T
is in
o
C and x is in m. The constants are: c
0
= 800
o
C, c
1
= ?250
o
C/m and c
2
= ?40
o
C/m
2
. The
thermal conductivity of the wall is 50 W/mK and wall area is 5 m
2
. If there is a heat source
generating uniform volumetric heating at the rate of 500 W/m
3
inside the wall, then the rate of
change of energy storage in the wall, in kW, is ________.
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 4/9
Q.25 If standard production is 20 units, a worker?s actual output is 18 units, piece rate is Rs. 500 per unit,
and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per
Taylor?s differential price rate wage incentive plan, is ______________.
Q. 26 ? Q. 55 carry two marks each.
Q.26 The solution to represents a
(A) family of circles (B) family of ellipses
(C) family of parabolas (D) family of hyperbolas
Q.27 The solution to is
(A)
2 3
12
y c x c x
?
= + (B)
2
12
y c c x
?
= + (C)
2
1
c
y c x
x
= + (D)
4
12
y c x c x = +
Q.28 Match the linear transformation matrices listed in the first column to their interpretations in the
second column.
P.
10
00
??
??
??
1. Stretch in the y-axis
Q.
00
01
??
??
??
2. Uniform stretch in x and y-axes
R.
10
03
??
??
??
3. Projection in x-axis
S.
40
04
??
??
??
4. Projection in y-axis
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-3, R-4, S-1
(C) P-3, Q-4, R-1, S-2 (D) P-4, Q-1, R-2, S-3.
Q.29
The value of
2
( , ) (0,0)
lim
x y
x xy
xy
?
?
?
is
(A) 0 (B)
1
2
(C) 1 (D) ?
Q.30 The curve y = x
4
is
(A) concave up for all values of x
(B) concave down for all values of x
(C) concave up only for positive values of x
(D) concave up only for negative values of x
Q.31 A metallic bar of uniform cross-section with specific weight of 100 kN/m
3
is hung vertically down.
The length and Young?s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
of the bar, in mm, due to its own weight is ____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 5/9
Q.32 A beam is loaded as shown in the figure.
The bending moment, in Nm, at point R is __________.
Q.33 In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of 150
rpm. The value of the angle ? shown in the figure is 20
0
. What is the ratio of forward to return stroke
time? Can this mechanism be used in an application involving quick return?
(A) 3.33, No (B) 0.73, Yes (C) 1.25, Yes (D) 0.73, No
Q.34 In a 1 m thick wall, the temperature distribution at a given instant is T(x) = c
0
+ c
1
x + c
2
x
2
where T
is in
o
C and x is in m. The constants are: c
0
= 800
o
C, c
1
= ?250
o
C/m and c
2
= ?40
o
C/m
2
. The
thermal conductivity of the wall is 50 W/mK and wall area is 5 m
2
. If there is a heat source
generating uniform volumetric heating at the rate of 500 W/m
3
inside the wall, then the rate of
change of energy storage in the wall, in kW, is ________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 6/9
Q.35 In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a
nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its
trajectory. The kinetic and pressure energies at points (1), (2) and (3), respectively, are
(A) (small and large), (large and zero) and (zero and zero)
(B) (small and zero), (large and large) and (small and zero)
(C) (large and zero), (zero and large) and (large and zero)
(D) (large and small), (small and zero) and (small and large)
Q.36 Consider a glass-fiber reinforced polymer material. The stress-strain curves of the fiber, matrix and
composite are plotted in the figure. Which one of the following statements is TRUE?
(A) Curve P represents the composite, Curve Q the matrix and Curve R the fiber.
(B) Curve Q represents the composite, Curve R the matrix and Curve P the fiber.
(C) Curve R represents the composite, Curve P the matrix and Curve Q the fiber.
(D) Curve P represents the composite, Curve R the matrix and Curve Q the fiber.
Q.37 A mould for injection moulding is designed for polymer P having shrinkage of 0.010 mm/mm. A
critical dimension needed in the moulded part is 35 mm. If the same mould is now used to make a
similar part but made of a different polymer Q with shrinkage of 0.025 mm/mm, then the critical
dimension in the moulded part made of polymer Q, in mm, is _____________.
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 4/9
Q.25 If standard production is 20 units, a worker?s actual output is 18 units, piece rate is Rs. 500 per unit,
and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per
Taylor?s differential price rate wage incentive plan, is ______________.
Q. 26 ? Q. 55 carry two marks each.
Q.26 The solution to represents a
(A) family of circles (B) family of ellipses
(C) family of parabolas (D) family of hyperbolas
Q.27 The solution to is
(A)
2 3
12
y c x c x
?
= + (B)
2
12
y c c x
?
= + (C)
2
1
c
y c x
x
= + (D)
4
12
y c x c x = +
Q.28 Match the linear transformation matrices listed in the first column to their interpretations in the
second column.
P.
10
00
??
??
??
1. Stretch in the y-axis
Q.
00
01
??
??
??
2. Uniform stretch in x and y-axes
R.
10
03
??
??
??
3. Projection in x-axis
S.
40
04
??
??
??
4. Projection in y-axis
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-3, R-4, S-1
(C) P-3, Q-4, R-1, S-2 (D) P-4, Q-1, R-2, S-3.
Q.29
The value of
2
( , ) (0,0)
lim
x y
x xy
xy
?
?
?
is
(A) 0 (B)
1
2
(C) 1 (D) ?
Q.30 The curve y = x
4
is
(A) concave up for all values of x
(B) concave down for all values of x
(C) concave up only for positive values of x
(D) concave up only for negative values of x
Q.31 A metallic bar of uniform cross-section with specific weight of 100 kN/m
3
is hung vertically down.
The length and Young?s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
of the bar, in mm, due to its own weight is ____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 5/9
Q.32 A beam is loaded as shown in the figure.
The bending moment, in Nm, at point R is __________.
Q.33 In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of 150
rpm. The value of the angle ? shown in the figure is 20
0
. What is the ratio of forward to return stroke
time? Can this mechanism be used in an application involving quick return?
(A) 3.33, No (B) 0.73, Yes (C) 1.25, Yes (D) 0.73, No
Q.34 In a 1 m thick wall, the temperature distribution at a given instant is T(x) = c
0
+ c
1
x + c
2
x
2
where T
is in
o
C and x is in m. The constants are: c
0
= 800
o
C, c
1
= ?250
o
C/m and c
2
= ?40
o
C/m
2
. The
thermal conductivity of the wall is 50 W/mK and wall area is 5 m
2
. If there is a heat source
generating uniform volumetric heating at the rate of 500 W/m
3
inside the wall, then the rate of
change of energy storage in the wall, in kW, is ________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 6/9
Q.35 In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a
nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its
trajectory. The kinetic and pressure energies at points (1), (2) and (3), respectively, are
(A) (small and large), (large and zero) and (zero and zero)
(B) (small and zero), (large and large) and (small and zero)
(C) (large and zero), (zero and large) and (large and zero)
(D) (large and small), (small and zero) and (small and large)
Q.36 Consider a glass-fiber reinforced polymer material. The stress-strain curves of the fiber, matrix and
composite are plotted in the figure. Which one of the following statements is TRUE?
(A) Curve P represents the composite, Curve Q the matrix and Curve R the fiber.
(B) Curve Q represents the composite, Curve R the matrix and Curve P the fiber.
(C) Curve R represents the composite, Curve P the matrix and Curve Q the fiber.
(D) Curve P represents the composite, Curve R the matrix and Curve Q the fiber.
Q.37 A mould for injection moulding is designed for polymer P having shrinkage of 0.010 mm/mm. A
critical dimension needed in the moulded part is 35 mm. If the same mould is now used to make a
similar part but made of a different polymer Q with shrinkage of 0.025 mm/mm, then the critical
dimension in the moulded part made of polymer Q, in mm, is _____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 7/9
Q.38 Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of
200 MPa having a height of 25 mm and diameter of 25 mm is being carried out. The cylinder is
subjected to a true compressive strain of 3.6 during the process. Assuming frictionless and
homogeneous deformation, the energy expended, in kJ, is _____________________.
Q.39 In drilling operation, a twist-drill of 30 mm diameter with point angle of 118 degrees is used. If the
CNC command issued to execute the drilling operation is G90 G01 Z?? F20. The datum is defined
on the top surface of the work material and the approach distance is 3 mm. Then, to achieve a
cylindrical hole depth of 40 mm, the Z coordinate to be provided in the CNC command, in mm, is
________________.
Q.40 In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle,
the measured cutting force was 1700 N. If the friction angle at the rake face-chip interface is
26
o
, then the thrust force value, in N, is _________________.
Q.41 In a slab milling operation, a cutter of 75 mm diameter with sufficient width is used to remove
5 mm thick material from a 200 mm long part in a single pass. The minimum length of travel, in
mm, for the cutter to engage and completely cut the part surface is ___________.
Q.42 In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten
metal in the pouring basin is at a height of 300 mm from the runner having diameter of 10 mm. If
the density and melting temperature of molten copper alloy are 9000 kg/m
3
and 1000
o
C,
respectively, then the rate of flow of molten metal into the mould neglecting friction and other
losses, in cm
3
/s, is ____________________.
Q.43 Two aluminum alloy plates each 10 mm thick and 1 m long are welded without crowning by multi-
pass tungsten inert gas butt welding. The joint configuration is V-type with 60? angle and root gap
is maintained at 5 mm. If electrode of 5 mm diameter with 500 mm length is used for welding, then
the number of electrodes required is
(A) 7 (B) 9 (C) 11 (D) 13
Q.44 A surface is prepared specially for an application with the profile as shown in the figure.
The theoretical R
a
value for this surface, in ?m, is __________________.
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 4/9
Q.25 If standard production is 20 units, a worker?s actual output is 18 units, piece rate is Rs. 500 per unit,
and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per
Taylor?s differential price rate wage incentive plan, is ______________.
Q. 26 ? Q. 55 carry two marks each.
Q.26 The solution to represents a
(A) family of circles (B) family of ellipses
(C) family of parabolas (D) family of hyperbolas
Q.27 The solution to is
(A)
2 3
12
y c x c x
?
= + (B)
2
12
y c c x
?
= + (C)
2
1
c
y c x
x
= + (D)
4
12
y c x c x = +
Q.28 Match the linear transformation matrices listed in the first column to their interpretations in the
second column.
P.
10
00
??
??
??
1. Stretch in the y-axis
Q.
00
01
??
??
??
2. Uniform stretch in x and y-axes
R.
10
03
??
??
??
3. Projection in x-axis
S.
40
04
??
??
??
4. Projection in y-axis
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-3, R-4, S-1
(C) P-3, Q-4, R-1, S-2 (D) P-4, Q-1, R-2, S-3.
Q.29
The value of
2
( , ) (0,0)
lim
x y
x xy
xy
?
?
?
is
(A) 0 (B)
1
2
(C) 1 (D) ?
Q.30 The curve y = x
4
is
(A) concave up for all values of x
(B) concave down for all values of x
(C) concave up only for positive values of x
(D) concave up only for negative values of x
Q.31 A metallic bar of uniform cross-section with specific weight of 100 kN/m
3
is hung vertically down.
The length and Young?s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
of the bar, in mm, due to its own weight is ____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 5/9
Q.32 A beam is loaded as shown in the figure.
The bending moment, in Nm, at point R is __________.
Q.33 In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of 150
rpm. The value of the angle ? shown in the figure is 20
0
. What is the ratio of forward to return stroke
time? Can this mechanism be used in an application involving quick return?
(A) 3.33, No (B) 0.73, Yes (C) 1.25, Yes (D) 0.73, No
Q.34 In a 1 m thick wall, the temperature distribution at a given instant is T(x) = c
0
+ c
1
x + c
2
x
2
where T
is in
o
C and x is in m. The constants are: c
0
= 800
o
C, c
1
= ?250
o
C/m and c
2
= ?40
o
C/m
2
. The
thermal conductivity of the wall is 50 W/mK and wall area is 5 m
2
. If there is a heat source
generating uniform volumetric heating at the rate of 500 W/m
3
inside the wall, then the rate of
change of energy storage in the wall, in kW, is ________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 6/9
Q.35 In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a
nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its
trajectory. The kinetic and pressure energies at points (1), (2) and (3), respectively, are
(A) (small and large), (large and zero) and (zero and zero)
(B) (small and zero), (large and large) and (small and zero)
(C) (large and zero), (zero and large) and (large and zero)
(D) (large and small), (small and zero) and (small and large)
Q.36 Consider a glass-fiber reinforced polymer material. The stress-strain curves of the fiber, matrix and
composite are plotted in the figure. Which one of the following statements is TRUE?
(A) Curve P represents the composite, Curve Q the matrix and Curve R the fiber.
(B) Curve Q represents the composite, Curve R the matrix and Curve P the fiber.
(C) Curve R represents the composite, Curve P the matrix and Curve Q the fiber.
(D) Curve P represents the composite, Curve R the matrix and Curve Q the fiber.
Q.37 A mould for injection moulding is designed for polymer P having shrinkage of 0.010 mm/mm. A
critical dimension needed in the moulded part is 35 mm. If the same mould is now used to make a
similar part but made of a different polymer Q with shrinkage of 0.025 mm/mm, then the critical
dimension in the moulded part made of polymer Q, in mm, is _____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 7/9
Q.38 Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of
200 MPa having a height of 25 mm and diameter of 25 mm is being carried out. The cylinder is
subjected to a true compressive strain of 3.6 during the process. Assuming frictionless and
homogeneous deformation, the energy expended, in kJ, is _____________________.
Q.39 In drilling operation, a twist-drill of 30 mm diameter with point angle of 118 degrees is used. If the
CNC command issued to execute the drilling operation is G90 G01 Z?? F20. The datum is defined
on the top surface of the work material and the approach distance is 3 mm. Then, to achieve a
cylindrical hole depth of 40 mm, the Z coordinate to be provided in the CNC command, in mm, is
________________.
Q.40 In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle,
the measured cutting force was 1700 N. If the friction angle at the rake face-chip interface is
26
o
, then the thrust force value, in N, is _________________.
Q.41 In a slab milling operation, a cutter of 75 mm diameter with sufficient width is used to remove
5 mm thick material from a 200 mm long part in a single pass. The minimum length of travel, in
mm, for the cutter to engage and completely cut the part surface is ___________.
Q.42 In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten
metal in the pouring basin is at a height of 300 mm from the runner having diameter of 10 mm. If
the density and melting temperature of molten copper alloy are 9000 kg/m
3
and 1000
o
C,
respectively, then the rate of flow of molten metal into the mould neglecting friction and other
losses, in cm
3
/s, is ____________________.
Q.43 Two aluminum alloy plates each 10 mm thick and 1 m long are welded without crowning by multi-
pass tungsten inert gas butt welding. The joint configuration is V-type with 60? angle and root gap
is maintained at 5 mm. If electrode of 5 mm diameter with 500 mm length is used for welding, then
the number of electrodes required is
(A) 7 (B) 9 (C) 11 (D) 13
Q.44 A surface is prepared specially for an application with the profile as shown in the figure.
The theoretical R
a
value for this surface, in ?m, is __________________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 8/9
Q.45 During the measurement of internal taper of a part using standard balls of diameter 15 mm and
20 mm, the large ball is found to protrude by 5 mm (h
1
) and the top of small ball is found to be
35 mm (h
2
) below the top face of the gauge. The taper angle, in degree, is ________
Q.46 In a Flexible Manufacturing System, the Automated Guided Vehicles (AGV) move at a speed of
50 m/min, cover an average distance of 150 m to deliver and 100 m for return. If the time required
for pick-up and drop is 30 s each, neglecting idle times, then the number of AGVs required to meet
the demand of 50 deliveries per hour is ______________.
Q.47 A machine is bought for Rs. 25,00,000. The organization follows a declining balance method of
depreciation with a depreciation charge of 25%. If the machine is sold at Rs.17,50,000 at the end of
second year, then the profit on the book, in Rs., is ________________.
Q.48 A manufacturing line requires 7.2 minutes to make a product. The line has six workstations
arranged as per the required sequence of operations. Total production required is 300 products in
7.5 hours. At steady state, the line efficiency, in %, is ____________.
Q.49 A single facility is to be located to meet the demand at coordinates (1, 2), (2, 3), (3, 5) and (4, 1).
The demand at these points is 700, 100, 300 and 500 respectively. Using the rectilinear distance
measure and weighted distance minimization criterion, the facility should be located
(A) anywhere on the line joining points (2, 2) and (3, 2)
(B) at the point (2, 3)
(C) anywhere on the line joining (2, 3) and (3, 3)
(D) at the point (3, 3)
Q.50 The value of ( X
1
, X
2
) for an optimal solution for
is
(A) (0, 0) (B) (1, 6) (C) (0, 3) (D) (3, 7)
Q.51 Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one
per 18 hours. The time to repair follows an exponential distribution with Mean Time To Repair
(MTTR) of 14 hours. If the productivity loss is Rs.22,500 per hour, then the total expected loss of
productivity due to machine breakdowns, in Rs., is
(A) 78,750 (B) 1,01,250 (C) 11,81,250 (D) 14,17,500
FirstRanker.com - FirstRanker's Choice
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 1/9
Q. 1 ? Q. 25 carry one mark each.
Q.1 In numerical integration using Simpson?s rule, the approximating function in the interval is a
(A) constant (B) straight line
(C) cubic B-Spline (D) parabola
Q.2
If a constant force f
?
applied on an object P, displaces it by a distance , d
?
inclined at an angle ? to
the direction of force , f
?
then the work done by the force f
?
is
(A) div( ) fd ?
? ?
(B) (curl ) fd ?
? ?
(C) fd ?
? ?
(D) . fd
? ?
Q.3 A product is an assembly of 5 different components. The product can be sequentially assembled in
two possible ways. If the 5 components are placed in a box and these are drawn at random from the
box, then the probability of getting a correct sequence is
(A)
2
5!
(B)
2
5
(C)
2
(5 2)! ?
(D)
2
(5 3)! ?
Q.4
2
The function ( ) times, is defined f x x xxx x = = +++ ?
(A) at all real values of x
(B) only at positive integer values of x
(C) only at negative integer values of x
(D) only at rational values of x
Q.5 The room-temperature stress ( ?)-strain ( ?) curves of four materials P, Q, R, and S are shown in the
figure below. The material that behaves as a rigid perfectly plastic material is
(A) P (B) Q (C) R (D) S
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 2/9
Q.6 The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is
700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at
fracture is _________________.
Q.7 If the principal stress values are 120 MPa, ?50 MPa and 10 MPa in a given state of stress, then
maximum shear stress in the material, in MPa, is ___________________.
Q.8 Match the items in the first column to their functions in the second column.
P. Sprue 1. regulates flow of molten metal into mould cavity
Q. Riser 2. feeds molten metal from pouring basin to gate
R. Gate 3. acts as a reservoir for molten metal
S. Pouring basin 4. supplies molten metal to compensate for liquid shrinkage
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-4, R-1, S-3
(C) P-4, Q-2, R-1, S-3 (D) P-2, Q-4, R-3, S-1
Q.9 In rolling of a flat strip, the relative velocity of strip with respect to the roller is
(A) positive at entry plane, negative at exit plane
(B) negative at entry plane, positive at exit plane
(C) positive throughout from entry to exit plane
(D) negative throughout from entry to exit plane
Q.10 The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and
redundant work is 77%. The strain hardening exponent of the material is ____________.
Q.11 Built-up edge formation decreases under the conditions listed below EXCEPT
(A) at low cutting speeds (B) using large positive rake angle
(C) with sharper tool (D) using cutting fluid
Q.12 During turning of mild steel work material, the maximum temperature is observed at
(A) primary deformation zone (B) tool and chip interface
(C) tool-flank and work interface (D) machined sub-surface
Q.13 Which one of the following statements related to grinding process is INCORRECT?
(A) Grinding wheels made of finer abrasive grains produce better surface finish.
(B) Abrasive grains tend to fracture frequently during the grinding process.
(C) Specific energy in grinding is higher than that in turning.
(D) Cutting speed in grinding process is much lower than that in face milling.
Q.14 For an assembly made of n components, the dimensions on each component i follow a normal
distribution and have tolerance T
i
. Overall dimension of the assembly is L
a
with tolerance T
a
. The
relationship between T
a
and T
i
is
(A) (B)
(C) (D)
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 3/9
Q.15 Which of the following DO NOT influence the material removal rate in Electrical Discharge
Machining process?
(i) Hardness of work piece material
(ii) Melting temperature of work piece material
(iii) Hardness of tool material
(iv) Discharge current and frequency
(A) (i) and (ii) (B) (i) and (iii) (C) (iii) and (iv) (D) (i), (ii) and (iii)
Q.16 In Computer Aided Process Planning, determination of process sequence for manufacture of any
part design without predefined standard plans is known as
(A) variant type process planning
(B) retrieval type process planning
(C) generative type process planning
(D) group technology based process planning
Q.17 The angle of a twist drill that determines its rake angle is
(A) lip relief angle (B) chisel edge angle (C) helix angle (D) point angle
Q.18 A line balancing problem is solved in the context of
(A) process layout (B) fixed position layout
(C) product layout (D) production schedule
Q.19 Solution to the balanced assignment problem is binary due to
(A) linear formulation (B) non-empty feasible region
(C) approximation algorithms (D) uni-modularity property
Q.20 Material Requirements Planning DOES NOT include
(A) material price (B) bill of material
(C) inventory level (D) production schedule
Q.21 Ishikawa diagram represents
(A) different types of quality defects
(B) quantitative relation between the extent of defect and a process parameter
(C) relation between defects and their causes
(D) prioritized quality defects
Q.22 As per the principles of motion economy, which one of the following is NOT a pivot for a
classified movement of human body?
(A) Knee (B) Elbow (C) Torso (D) Wrist
Q.23 For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel
can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000.
The value of air travel is ____________.
Q.24 Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?
(A) General ledger entries (B) Materials management system
(C) Order management system (D) Employee promotion policy
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 4/9
Q.25 If standard production is 20 units, a worker?s actual output is 18 units, piece rate is Rs. 500 per unit,
and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per
Taylor?s differential price rate wage incentive plan, is ______________.
Q. 26 ? Q. 55 carry two marks each.
Q.26 The solution to represents a
(A) family of circles (B) family of ellipses
(C) family of parabolas (D) family of hyperbolas
Q.27 The solution to is
(A)
2 3
12
y c x c x
?
= + (B)
2
12
y c c x
?
= + (C)
2
1
c
y c x
x
= + (D)
4
12
y c x c x = +
Q.28 Match the linear transformation matrices listed in the first column to their interpretations in the
second column.
P.
10
00
??
??
??
1. Stretch in the y-axis
Q.
00
01
??
??
??
2. Uniform stretch in x and y-axes
R.
10
03
??
??
??
3. Projection in x-axis
S.
40
04
??
??
??
4. Projection in y-axis
(A) P-1, Q-2, R-3, S-4 (B) P-2, Q-3, R-4, S-1
(C) P-3, Q-4, R-1, S-2 (D) P-4, Q-1, R-2, S-3.
Q.29
The value of
2
( , ) (0,0)
lim
x y
x xy
xy
?
?
?
is
(A) 0 (B)
1
2
(C) 1 (D) ?
Q.30 The curve y = x
4
is
(A) concave up for all values of x
(B) concave down for all values of x
(C) concave up only for positive values of x
(D) concave up only for negative values of x
Q.31 A metallic bar of uniform cross-section with specific weight of 100 kN/m
3
is hung vertically down.
The length and Young?s modulus of the bar are 100 m and 200 GPa, respectively. The elongation
of the bar, in mm, due to its own weight is ____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 5/9
Q.32 A beam is loaded as shown in the figure.
The bending moment, in Nm, at point R is __________.
Q.33 In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of 150
rpm. The value of the angle ? shown in the figure is 20
0
. What is the ratio of forward to return stroke
time? Can this mechanism be used in an application involving quick return?
(A) 3.33, No (B) 0.73, Yes (C) 1.25, Yes (D) 0.73, No
Q.34 In a 1 m thick wall, the temperature distribution at a given instant is T(x) = c
0
+ c
1
x + c
2
x
2
where T
is in
o
C and x is in m. The constants are: c
0
= 800
o
C, c
1
= ?250
o
C/m and c
2
= ?40
o
C/m
2
. The
thermal conductivity of the wall is 50 W/mK and wall area is 5 m
2
. If there is a heat source
generating uniform volumetric heating at the rate of 500 W/m
3
inside the wall, then the rate of
change of energy storage in the wall, in kW, is ________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 6/9
Q.35 In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a
nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its
trajectory. The kinetic and pressure energies at points (1), (2) and (3), respectively, are
(A) (small and large), (large and zero) and (zero and zero)
(B) (small and zero), (large and large) and (small and zero)
(C) (large and zero), (zero and large) and (large and zero)
(D) (large and small), (small and zero) and (small and large)
Q.36 Consider a glass-fiber reinforced polymer material. The stress-strain curves of the fiber, matrix and
composite are plotted in the figure. Which one of the following statements is TRUE?
(A) Curve P represents the composite, Curve Q the matrix and Curve R the fiber.
(B) Curve Q represents the composite, Curve R the matrix and Curve P the fiber.
(C) Curve R represents the composite, Curve P the matrix and Curve Q the fiber.
(D) Curve P represents the composite, Curve R the matrix and Curve Q the fiber.
Q.37 A mould for injection moulding is designed for polymer P having shrinkage of 0.010 mm/mm. A
critical dimension needed in the moulded part is 35 mm. If the same mould is now used to make a
similar part but made of a different polymer Q with shrinkage of 0.025 mm/mm, then the critical
dimension in the moulded part made of polymer Q, in mm, is _____________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 7/9
Q.38 Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of
200 MPa having a height of 25 mm and diameter of 25 mm is being carried out. The cylinder is
subjected to a true compressive strain of 3.6 during the process. Assuming frictionless and
homogeneous deformation, the energy expended, in kJ, is _____________________.
Q.39 In drilling operation, a twist-drill of 30 mm diameter with point angle of 118 degrees is used. If the
CNC command issued to execute the drilling operation is G90 G01 Z?? F20. The datum is defined
on the top surface of the work material and the approach distance is 3 mm. Then, to achieve a
cylindrical hole depth of 40 mm, the Z coordinate to be provided in the CNC command, in mm, is
________________.
Q.40 In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle,
the measured cutting force was 1700 N. If the friction angle at the rake face-chip interface is
26
o
, then the thrust force value, in N, is _________________.
Q.41 In a slab milling operation, a cutter of 75 mm diameter with sufficient width is used to remove
5 mm thick material from a 200 mm long part in a single pass. The minimum length of travel, in
mm, for the cutter to engage and completely cut the part surface is ___________.
Q.42 In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten
metal in the pouring basin is at a height of 300 mm from the runner having diameter of 10 mm. If
the density and melting temperature of molten copper alloy are 9000 kg/m
3
and 1000
o
C,
respectively, then the rate of flow of molten metal into the mould neglecting friction and other
losses, in cm
3
/s, is ____________________.
Q.43 Two aluminum alloy plates each 10 mm thick and 1 m long are welded without crowning by multi-
pass tungsten inert gas butt welding. The joint configuration is V-type with 60? angle and root gap
is maintained at 5 mm. If electrode of 5 mm diameter with 500 mm length is used for welding, then
the number of electrodes required is
(A) 7 (B) 9 (C) 11 (D) 13
Q.44 A surface is prepared specially for an application with the profile as shown in the figure.
The theoretical R
a
value for this surface, in ?m, is __________________.
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 8/9
Q.45 During the measurement of internal taper of a part using standard balls of diameter 15 mm and
20 mm, the large ball is found to protrude by 5 mm (h
1
) and the top of small ball is found to be
35 mm (h
2
) below the top face of the gauge. The taper angle, in degree, is ________
Q.46 In a Flexible Manufacturing System, the Automated Guided Vehicles (AGV) move at a speed of
50 m/min, cover an average distance of 150 m to deliver and 100 m for return. If the time required
for pick-up and drop is 30 s each, neglecting idle times, then the number of AGVs required to meet
the demand of 50 deliveries per hour is ______________.
Q.47 A machine is bought for Rs. 25,00,000. The organization follows a declining balance method of
depreciation with a depreciation charge of 25%. If the machine is sold at Rs.17,50,000 at the end of
second year, then the profit on the book, in Rs., is ________________.
Q.48 A manufacturing line requires 7.2 minutes to make a product. The line has six workstations
arranged as per the required sequence of operations. Total production required is 300 products in
7.5 hours. At steady state, the line efficiency, in %, is ____________.
Q.49 A single facility is to be located to meet the demand at coordinates (1, 2), (2, 3), (3, 5) and (4, 1).
The demand at these points is 700, 100, 300 and 500 respectively. Using the rectilinear distance
measure and weighted distance minimization criterion, the facility should be located
(A) anywhere on the line joining points (2, 2) and (3, 2)
(B) at the point (2, 3)
(C) anywhere on the line joining (2, 3) and (3, 3)
(D) at the point (3, 3)
Q.50 The value of ( X
1
, X
2
) for an optimal solution for
is
(A) (0, 0) (B) (1, 6) (C) (0, 3) (D) (3, 7)
Q.51 Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one
per 18 hours. The time to repair follows an exponential distribution with Mean Time To Repair
(MTTR) of 14 hours. If the productivity loss is Rs.22,500 per hour, then the total expected loss of
productivity due to machine breakdowns, in Rs., is
(A) 78,750 (B) 1,01,250 (C) 11,81,250 (D) 14,17,500
GATE 2015 PRODUCTION & INDUSTRIAL ENGG. ? PI
PI 9/9
Q.52 In a manufacturing process, 24 samples each of size 50 items were inspected and a total of 52
defective items were observed. The lower and upper control limits set for the p-chart should,
respectively, be
(A) (0.043, 0.12) (B) (?0.043, 0.086) (C) (?0.043, 0.10) (D) (0, 0.13)
Q.53 Data on five products to be processed on a single machine is given below:
Product Release time Processing time Due date
P 0 3 10
Q 2 4 9
R 0 2 15
S 1 5 11
T 1 1 13
For the processing sequence R ? P ? S ? T ? Q, total tardiness is ____________.
Q.54 In a time study experiment, observed time is 15 minutes, operator rating is 90, personal need
allowance is 4%, fatigue allowance is 3%, contingency allowance for work is 3% and contingency
allowance for delay is 2%. The total work content, in minutes, is __________________.
Q.55 There are three alternatives to meet the demand of a product.
Alternative I: Manufacture using a process P
Alternative II: Manufacture using a process Q
Alternative III: Buy the product from a vendor
The costs associated with each alternative is given below:
Cost Alternative I Alternative II Alternative III
Fixed cost Rs. 100,000 Rs. 190,000
Variable cost (per unit) Rs. 75 Rs. 60
Purchase price (per unit) Rs. 87.50
Alternative I is cheaper compared to Alternative II when the demand is
(A) 8500 (B) above 8000
(C) 6500 (D) below 6000
END OF THE QUESTION PAPER
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This post was last modified on 19 December 2019