Mechanical Engineering (ME) 2012 GATE Paper (Set A) with solution Mechanical Engineering Notes | EduRev

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Mechanical Engineering : Mechanical Engineering (ME) 2012 GATE Paper (Set A) with solution Mechanical Engineering Notes | EduRev

 Page 1


2012                                                                                                                           Question Booklet Code                                                                            
ME-A 
 
1/16 
A 
ME : MECHANICAL ENGINEERING 
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and the appropriate bubble under each digit of your registration 
number and (ii) write your registration number, your name and name of the examination centre and 
put your signature at the specified location.  
 
4. This Question Booklet contains 16 pages including blank pages for rough work. After you are 
permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 
 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
 
6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken 
the bubbles in the ORS very carefully. 
 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then 
the answer to the second question in the pair will not be evaluated. 
 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.   
 
9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.  
For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, 
? mark will be deducted for each wrong answer.  However, in the case of the linked answer question 
pair, there will be negative marks only for wrong answer to the first question and no negative marks 
for wrong answer to the second question.  
 
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
 
11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the 
question paper for rough work. 
 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ball point pen. 
 
Name 
 
 
Registration Number ME 
       
 
Page 2


2012                                                                                                                           Question Booklet Code                                                                            
ME-A 
 
1/16 
A 
ME : MECHANICAL ENGINEERING 
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and the appropriate bubble under each digit of your registration 
number and (ii) write your registration number, your name and name of the examination centre and 
put your signature at the specified location.  
 
4. This Question Booklet contains 16 pages including blank pages for rough work. After you are 
permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 
 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
 
6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken 
the bubbles in the ORS very carefully. 
 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then 
the answer to the second question in the pair will not be evaluated. 
 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.   
 
9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.  
For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, 
? mark will be deducted for each wrong answer.  However, in the case of the linked answer question 
pair, there will be negative marks only for wrong answer to the first question and no negative marks 
for wrong answer to the second question.  
 
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
 
11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the 
question paper for rough work. 
 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ball point pen. 
 
Name 
 
 
Registration Number ME 
       
 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 2/16 
Q. 1 – Q. 25 carry one mark each. 
Q.1  In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the 
material removal rate  
(A)  increases continuously. 
(B)  decreases continuously. 
(C)  decreases, becomes stable and then increases. 
(D)  increases, becomes stable and then decreases. 
 
Q.2  Match the following metal forming processes with their associated stresses in the workpiece. 
 
 Metal forming process  Type of stress 
1. Coining P. Tensile  
2. Wire Drawing Q. Shear 
3. Blanking R. Tensile and compressive 
4. Deep Drawing S. Compressive 
 
(A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q 
(C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S 
 
Q.3  In an interchangeable assembly, shafts of size 
010 . 0
040 . 0
000 . 25
?
?
mm mate with holes of size 
020 . 0
030 . 0
000 . 25
?
?
mm.  The maximum interference (in microns) in the assembly is 
 
(A) 40 (B) 30 (C)  20 (D)  10 
 
Q.4  During normalizing process of steel, the specimen is heated 
 
(A)  between the upper and lower critical temperature and cooled in still air. 
(B)  above the upper critical temperature and cooled in furnace. 
(C)  above the upper critical temperature and cooled in still air. 
(D)  between the upper and lower critical temperature and cooled in furnace. 
 
Q.5  Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor,  f = 0.0225) of 
length 500 m. The volumetric flow rate is 0.2 m
3
/s. The head loss (in m) due to friction is (assume  
g = 9.81 m/s
2
) 
(A) 116.18  (B) 0.116  (C) 18.22  (D) 232.36  
 
Q.6  For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by 
the equation: 
(A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? 
 
Q.7  Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and 
leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the 
saturated liquid and vapor at 15 kPa are h
f
 = 225.94 kJ/kg and h
g
 = 2598.3 kJ/kg respectively. The 
mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power 
output of the turbine in MW is 
(A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 
Page 3


2012                                                                                                                           Question Booklet Code                                                                            
ME-A 
 
1/16 
A 
ME : MECHANICAL ENGINEERING 
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and the appropriate bubble under each digit of your registration 
number and (ii) write your registration number, your name and name of the examination centre and 
put your signature at the specified location.  
 
4. This Question Booklet contains 16 pages including blank pages for rough work. After you are 
permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 
 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
 
6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken 
the bubbles in the ORS very carefully. 
 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then 
the answer to the second question in the pair will not be evaluated. 
 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.   
 
9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.  
For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, 
? mark will be deducted for each wrong answer.  However, in the case of the linked answer question 
pair, there will be negative marks only for wrong answer to the first question and no negative marks 
for wrong answer to the second question.  
 
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
 
11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the 
question paper for rough work. 
 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ball point pen. 
 
Name 
 
 
Registration Number ME 
       
 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 2/16 
Q. 1 – Q. 25 carry one mark each. 
Q.1  In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the 
material removal rate  
(A)  increases continuously. 
(B)  decreases continuously. 
(C)  decreases, becomes stable and then increases. 
(D)  increases, becomes stable and then decreases. 
 
Q.2  Match the following metal forming processes with their associated stresses in the workpiece. 
 
 Metal forming process  Type of stress 
1. Coining P. Tensile  
2. Wire Drawing Q. Shear 
3. Blanking R. Tensile and compressive 
4. Deep Drawing S. Compressive 
 
(A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q 
(C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S 
 
Q.3  In an interchangeable assembly, shafts of size 
010 . 0
040 . 0
000 . 25
?
?
mm mate with holes of size 
020 . 0
030 . 0
000 . 25
?
?
mm.  The maximum interference (in microns) in the assembly is 
 
(A) 40 (B) 30 (C)  20 (D)  10 
 
Q.4  During normalizing process of steel, the specimen is heated 
 
(A)  between the upper and lower critical temperature and cooled in still air. 
(B)  above the upper critical temperature and cooled in furnace. 
(C)  above the upper critical temperature and cooled in still air. 
(D)  between the upper and lower critical temperature and cooled in furnace. 
 
Q.5  Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor,  f = 0.0225) of 
length 500 m. The volumetric flow rate is 0.2 m
3
/s. The head loss (in m) due to friction is (assume  
g = 9.81 m/s
2
) 
(A) 116.18  (B) 0.116  (C) 18.22  (D) 232.36  
 
Q.6  For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by 
the equation: 
(A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? 
 
Q.7  Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and 
leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the 
saturated liquid and vapor at 15 kPa are h
f
 = 225.94 kJ/kg and h
g
 = 2598.3 kJ/kg respectively. The 
mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power 
output of the turbine in MW is 
(A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 3/16 
 
Q.8  The following are the data for two crossed helical gears used for speed reduction: 
Gear I  : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30º 
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5º 
If the input speed is 1440 rpm, the output speed in rpm is 
(A)  1200 (B)  900 (C)  875 (D)  720 
 
Q.9  A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ? and 
angular acceleration a. The magnitude of the acceleration of the point of contact on the disc is   
(A)  zero (B) r ? 
(C) 
2 2 2
( ) ( ) rr ?? ? (D) 
2
r ? 
 
Q.10  A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is 
increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, 
the percentage change in the circumferential (hoop) stress is 
(A) 0 (B) 1 (C)  1.08 (D)  2.02 
 
Q.11  The area enclosed between the straight line y = x and the parabola y = x
2
 in the x-y plane is 
(A)  1/6 (B) 1/4 (C)  1/3 (D)  1/2               
 
Q.12  Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0,  f(x) is  
(A) continuous and differentiable.                                                                           
(B) non-continuous and differentiable.  
(C) continuous and non-differentiable.  
(D) neither continuous nor differentiable. 
 
Q.13  Which one of the following is NOT a decision taken during the aggregate production planning 
stage? 
(A) Scheduling of machines  (B) Amount of labour to be committed  
(C) Rate at which production should happen (D) Inventory to be carried forward 
 
Q.14  
2
0
1 cos
lim
x
x
x
?
???
??
??
is                                                                                                          
(A)   1/4 (B)  1/2 (C)   1 (D)   2 
 
Q.15  A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a 
cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm).  
The feed rate used for milling is 50 mm/min.  Milling time for the slot (in seconds) is 
(A) 120  (B) 170 (C)  180 (D)  240 
 
Q.16  A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies 
to a height of 25 mm.  The percentage change in diameter is   
(A) 0  (B) 2.07 (C)  20.7 (D)  41.4 
 
Page 4


2012                                                                                                                           Question Booklet Code                                                                            
ME-A 
 
1/16 
A 
ME : MECHANICAL ENGINEERING 
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and the appropriate bubble under each digit of your registration 
number and (ii) write your registration number, your name and name of the examination centre and 
put your signature at the specified location.  
 
4. This Question Booklet contains 16 pages including blank pages for rough work. After you are 
permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 
 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
 
6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken 
the bubbles in the ORS very carefully. 
 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then 
the answer to the second question in the pair will not be evaluated. 
 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.   
 
9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.  
For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, 
? mark will be deducted for each wrong answer.  However, in the case of the linked answer question 
pair, there will be negative marks only for wrong answer to the first question and no negative marks 
for wrong answer to the second question.  
 
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
 
11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the 
question paper for rough work. 
 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ball point pen. 
 
Name 
 
 
Registration Number ME 
       
 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 2/16 
Q. 1 – Q. 25 carry one mark each. 
Q.1  In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the 
material removal rate  
(A)  increases continuously. 
(B)  decreases continuously. 
(C)  decreases, becomes stable and then increases. 
(D)  increases, becomes stable and then decreases. 
 
Q.2  Match the following metal forming processes with their associated stresses in the workpiece. 
 
 Metal forming process  Type of stress 
1. Coining P. Tensile  
2. Wire Drawing Q. Shear 
3. Blanking R. Tensile and compressive 
4. Deep Drawing S. Compressive 
 
(A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q 
(C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S 
 
Q.3  In an interchangeable assembly, shafts of size 
010 . 0
040 . 0
000 . 25
?
?
mm mate with holes of size 
020 . 0
030 . 0
000 . 25
?
?
mm.  The maximum interference (in microns) in the assembly is 
 
(A) 40 (B) 30 (C)  20 (D)  10 
 
Q.4  During normalizing process of steel, the specimen is heated 
 
(A)  between the upper and lower critical temperature and cooled in still air. 
(B)  above the upper critical temperature and cooled in furnace. 
(C)  above the upper critical temperature and cooled in still air. 
(D)  between the upper and lower critical temperature and cooled in furnace. 
 
Q.5  Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor,  f = 0.0225) of 
length 500 m. The volumetric flow rate is 0.2 m
3
/s. The head loss (in m) due to friction is (assume  
g = 9.81 m/s
2
) 
(A) 116.18  (B) 0.116  (C) 18.22  (D) 232.36  
 
Q.6  For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by 
the equation: 
(A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? 
 
Q.7  Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and 
leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the 
saturated liquid and vapor at 15 kPa are h
f
 = 225.94 kJ/kg and h
g
 = 2598.3 kJ/kg respectively. The 
mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power 
output of the turbine in MW is 
(A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 3/16 
 
Q.8  The following are the data for two crossed helical gears used for speed reduction: 
Gear I  : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30º 
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5º 
If the input speed is 1440 rpm, the output speed in rpm is 
(A)  1200 (B)  900 (C)  875 (D)  720 
 
Q.9  A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ? and 
angular acceleration a. The magnitude of the acceleration of the point of contact on the disc is   
(A)  zero (B) r ? 
(C) 
2 2 2
( ) ( ) rr ?? ? (D) 
2
r ? 
 
Q.10  A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is 
increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, 
the percentage change in the circumferential (hoop) stress is 
(A) 0 (B) 1 (C)  1.08 (D)  2.02 
 
Q.11  The area enclosed between the straight line y = x and the parabola y = x
2
 in the x-y plane is 
(A)  1/6 (B) 1/4 (C)  1/3 (D)  1/2               
 
Q.12  Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0,  f(x) is  
(A) continuous and differentiable.                                                                           
(B) non-continuous and differentiable.  
(C) continuous and non-differentiable.  
(D) neither continuous nor differentiable. 
 
Q.13  Which one of the following is NOT a decision taken during the aggregate production planning 
stage? 
(A) Scheduling of machines  (B) Amount of labour to be committed  
(C) Rate at which production should happen (D) Inventory to be carried forward 
 
Q.14  
2
0
1 cos
lim
x
x
x
?
???
??
??
is                                                                                                          
(A)   1/4 (B)  1/2 (C)   1 (D)   2 
 
Q.15  A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a 
cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm).  
The feed rate used for milling is 50 mm/min.  Milling time for the slot (in seconds) is 
(A) 120  (B) 170 (C)  180 (D)  240 
 
Q.16  A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies 
to a height of 25 mm.  The percentage change in diameter is   
(A) 0  (B) 2.07 (C)  20.7 (D)  41.4 
 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 4/16 
Q.17  The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. V denotes the 
absolute velocity of the fluid, W denotes the relative velocity of the fluid and U denotes the blade 
velocity. Subscripts 1 and 2 refer to inlet and outlet respectively. If V
2 
= W
1
 and V
1 
= W
2
, then the 
degree of reaction is 
 
 
(A) 0 (B) 1 (C) 0.5 (D) 0.25 
 
Q.18  Which one of the following configurations has the highest fin effectiveness? 
(A) Thin, closely spaced fins (B) Thin, widely spaced fins 
(C) Thick, widely spaced fins (D) Thick, closely spaced fins 
 
Q.19  An ideal gas of mass m and temperature T
1
 undergoes a reversible isothermal process from an 
initial pressure P
1
 to final pressure P
2
. The heat loss during the process is Q. The entropy change ?S 
of the gas is   
(A) 
2
1
ln
P
mR
P
??
??
??
 (B) 
1
2
ln
P
mR
P
??
??
??
 
(C) 
2
11
ln
P Q
mR
PT
??
?
??
??
 (D) zero 
 
Q.20  In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the 
angular velocity (rad/s) of the follower link for the instant shown in the figure is 
 
 
 
 
 
 
  
 
 
 
 
(A)  0.05 (B) 0.1 (C)  5.0 (D)  10.0 
 
V
2
 
U 
W
2
 
W
1
 
V
1
 
Note: All dimensions are in mm. 
45 
25  
5  
Page 5


2012                                                                                                                           Question Booklet Code                                                                            
ME-A 
 
1/16 
A 
ME : MECHANICAL ENGINEERING 
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and the appropriate bubble under each digit of your registration 
number and (ii) write your registration number, your name and name of the examination centre and 
put your signature at the specified location.  
 
4. This Question Booklet contains 16 pages including blank pages for rough work. After you are 
permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 
 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
 
6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken 
the bubbles in the ORS very carefully. 
 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then 
the answer to the second question in the pair will not be evaluated. 
 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.   
 
9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.  
For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, 
? mark will be deducted for each wrong answer.  However, in the case of the linked answer question 
pair, there will be negative marks only for wrong answer to the first question and no negative marks 
for wrong answer to the second question.  
 
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
 
11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the 
question paper for rough work. 
 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ball point pen. 
 
Name 
 
 
Registration Number ME 
       
 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 2/16 
Q. 1 – Q. 25 carry one mark each. 
Q.1  In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the 
material removal rate  
(A)  increases continuously. 
(B)  decreases continuously. 
(C)  decreases, becomes stable and then increases. 
(D)  increases, becomes stable and then decreases. 
 
Q.2  Match the following metal forming processes with their associated stresses in the workpiece. 
 
 Metal forming process  Type of stress 
1. Coining P. Tensile  
2. Wire Drawing Q. Shear 
3. Blanking R. Tensile and compressive 
4. Deep Drawing S. Compressive 
 
(A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q 
(C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S 
 
Q.3  In an interchangeable assembly, shafts of size 
010 . 0
040 . 0
000 . 25
?
?
mm mate with holes of size 
020 . 0
030 . 0
000 . 25
?
?
mm.  The maximum interference (in microns) in the assembly is 
 
(A) 40 (B) 30 (C)  20 (D)  10 
 
Q.4  During normalizing process of steel, the specimen is heated 
 
(A)  between the upper and lower critical temperature and cooled in still air. 
(B)  above the upper critical temperature and cooled in furnace. 
(C)  above the upper critical temperature and cooled in still air. 
(D)  between the upper and lower critical temperature and cooled in furnace. 
 
Q.5  Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor,  f = 0.0225) of 
length 500 m. The volumetric flow rate is 0.2 m
3
/s. The head loss (in m) due to friction is (assume  
g = 9.81 m/s
2
) 
(A) 116.18  (B) 0.116  (C) 18.22  (D) 232.36  
 
Q.6  For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by 
the equation: 
(A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? 
 
Q.7  Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and 
leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the 
saturated liquid and vapor at 15 kPa are h
f
 = 225.94 kJ/kg and h
g
 = 2598.3 kJ/kg respectively. The 
mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power 
output of the turbine in MW is 
(A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 3/16 
 
Q.8  The following are the data for two crossed helical gears used for speed reduction: 
Gear I  : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30º 
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5º 
If the input speed is 1440 rpm, the output speed in rpm is 
(A)  1200 (B)  900 (C)  875 (D)  720 
 
Q.9  A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ? and 
angular acceleration a. The magnitude of the acceleration of the point of contact on the disc is   
(A)  zero (B) r ? 
(C) 
2 2 2
( ) ( ) rr ?? ? (D) 
2
r ? 
 
Q.10  A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is 
increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, 
the percentage change in the circumferential (hoop) stress is 
(A) 0 (B) 1 (C)  1.08 (D)  2.02 
 
Q.11  The area enclosed between the straight line y = x and the parabola y = x
2
 in the x-y plane is 
(A)  1/6 (B) 1/4 (C)  1/3 (D)  1/2               
 
Q.12  Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0,  f(x) is  
(A) continuous and differentiable.                                                                           
(B) non-continuous and differentiable.  
(C) continuous and non-differentiable.  
(D) neither continuous nor differentiable. 
 
Q.13  Which one of the following is NOT a decision taken during the aggregate production planning 
stage? 
(A) Scheduling of machines  (B) Amount of labour to be committed  
(C) Rate at which production should happen (D) Inventory to be carried forward 
 
Q.14  
2
0
1 cos
lim
x
x
x
?
???
??
??
is                                                                                                          
(A)   1/4 (B)  1/2 (C)   1 (D)   2 
 
Q.15  A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a 
cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm).  
The feed rate used for milling is 50 mm/min.  Milling time for the slot (in seconds) is 
(A) 120  (B) 170 (C)  180 (D)  240 
 
Q.16  A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies 
to a height of 25 mm.  The percentage change in diameter is   
(A) 0  (B) 2.07 (C)  20.7 (D)  41.4 
 
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 4/16 
Q.17  The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. V denotes the 
absolute velocity of the fluid, W denotes the relative velocity of the fluid and U denotes the blade 
velocity. Subscripts 1 and 2 refer to inlet and outlet respectively. If V
2 
= W
1
 and V
1 
= W
2
, then the 
degree of reaction is 
 
 
(A) 0 (B) 1 (C) 0.5 (D) 0.25 
 
Q.18  Which one of the following configurations has the highest fin effectiveness? 
(A) Thin, closely spaced fins (B) Thin, widely spaced fins 
(C) Thick, widely spaced fins (D) Thick, closely spaced fins 
 
Q.19  An ideal gas of mass m and temperature T
1
 undergoes a reversible isothermal process from an 
initial pressure P
1
 to final pressure P
2
. The heat loss during the process is Q. The entropy change ?S 
of the gas is   
(A) 
2
1
ln
P
mR
P
??
??
??
 (B) 
1
2
ln
P
mR
P
??
??
??
 
(C) 
2
11
ln
P Q
mR
PT
??
?
??
??
 (D) zero 
 
Q.20  In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the 
angular velocity (rad/s) of the follower link for the instant shown in the figure is 
 
 
 
 
 
 
  
 
 
 
 
(A)  0.05 (B) 0.1 (C)  5.0 (D)  10.0 
 
V
2
 
U 
W
2
 
W
1
 
V
1
 
Note: All dimensions are in mm. 
45 
25  
5  
2012                                                                                                                                       MECHANICAL ENGINEERING - ME                                                                                                                          
ME-A 5/16 
 
Q.21  A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a 
flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is  
(A) 395 (B) 790  
(C) 1580 (D) 3160 
 
Q.22  A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of 
the beam cross section about the neutral axis is I and the Young’s modulus is E. The magnitude of 
the maximum deflection is  
(A) 
2
2
ML
EI
 (B) 
2
ML
EI
 (C)  
2
2ML
EI
 (D)  
2
4ML
EI
 
 
Q.23  For a long slender column of uniform cross section, the ratio of critical buckling load for the case 
with both ends clamped to the case with both ends hinged is                                                                                
 
(A) 1 (B) 2 (C) 4 (D) 8 
 
Q.24  At x = 0, the function 
3
( ) 1 f x x ?? has                                                                               
(A) a maximum value (B) a minimum value 
(C) a singularity (D) a point of inflection 
 
Q.25  For the spherical surface 
2 2 2
1 x y z ? ? ? , the unit outward normal vector at the point 
(
11
, ,0
22
) is given by  
(A)    
11
ˆˆ
22
ij ? (B)    
11
ˆˆ
22
ij ? 
(C)  
ˆ
k    
(D)   
1 1 1
ˆ ˆˆ
3 3 3
i j k ?? 
 
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